Answer:
240/2, 360/3
Step-by-step explanation:
240/2 and 360/3 both involve division and both of their answers are equal to 120, assuming these count as number sentences.
Please help me by finding the degree measure of angle x
We can say in this triangle by Pythagorean theorem A2 = B2 + C2 => AC = sqrt115 after answering the provided question.
What exactly is a triangle?Because it has three sides and three vertices, a triangle is a polygon. It is a fundamental geometric shape. Triangle ABC is the name given to a triangle with the vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are discovered. A triangle is a polygon because it has three sides and three corners. The triangle's corners are defined as the points at which the three sides meet. The sum of three triangle angles yields 180 degrees.
Pythagorean theorem applies here, in this triangle
[tex]A^2 = B^2 + C^2[/tex]
[tex]AC = \sqrt{14^2 - 9^2}[/tex]
[tex]AC = \sqrt{196 - 81}[/tex]
[tex]AC = \sqrt{115}[/tex]
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Bronze is a mixture of copper and tin. The copper and tin are mixed in the ratio 9:1 by weight.
a. How much copper is there in a bronze brooch weighing 360 g?
b. Another bronze brooch contains 670.5g of copper.
How much does it weigh altogether?
a. The amount of copper in a bronze of 360g is 324g
b. The mass of bronze with 670.5g of copper is 745g
What is ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls.
The ratio of copper to Tin is 9:1. The total ratio is 10
a.therefore the amount of copper = 9/10 × 360
= 324g
b. The mass of copper = 670.5g
therefore the mass of the bronze =
= 9/10× y = 670.5
9y = 670.5 × 10
9y = 6705
y = 6705/9
y = 745g
therefore the total mass of the bronze is 745g
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PLEASE HELP!!! WILL MARK BRAINLIST
Savannah buys a bag of cookies that contains 8 chocolate chip cookies, 9 peanut butter cookies, 7 sugar cookies and 6 oatmeal cookies. What is the probability that Savannah randomly selects a sugar cookie from the bag, eats it, then randomly selects a chocolate chip cookie? Express you answer as a reduced fraction.
total cookies first to find ratio values
8 + 9 + 7 + 6 = 30 total
first ratio is sugar cookie to total
7 / 30 chances
after eating the sugar cookie, the total reduces to 29
second ratio is the new total
8 / 29 chances.
potential bonus??
the odds of this happening in this exact order is both odds multiplied.
so (7/30) × (6/29) = 7 / 145 chances she completes this in the exact order stated.
What is the answer of Thomas made 8,700 mL8,700 mL8, comma, 700, start text, space, m, L, end text of tomato soup. He packed 1.6 L1.6 L1, point, 6, start text, space, L, and end text of the soup in his kids' lunches. He then froze half of the remaining soup.
How many milliliters of soup did Thomas freeze?..... ml
Thomas packed 1.6 L1.6 L1, point, 6, start text, space, L, and end text of the soup in his kids' lunches and had firmed 7100 ml of haze.
What's meant by equation?
A fine statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x- 5 = 16, for case. When this equation is answered, we discover that the value of the variable x is 7. The description of an equation in algebra is a fine statement that demonstrates the equivalency of two fine expressions. For case, the two equations 3x 5 and 14, which are separated by the' equal' sign, make up the equation 3x 5 = 14. An equation is a fine expression with two equal sides and an equal sign. 4 6 = 10 is an illustration of an equation.Given that;
He made 8700 ml haze and he packed1.6 liter haze.
1 liter = 1000 milliliters
liter = 1.6 × 1000
litre = 1600 ml
Chancing the firmed haze-
8700 ml- 1600 ml
7100 ml.
Hence
Frozen haze = 7100 milliliters.
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The Serenity and the Mystic are sail boats. The Serenity and the Mystic start at the same point and travel away from each other in opposite directions. The Serenity travels at 14 mph and the Mystic travels at 21 mph. How far apart will they be in 3 hours?
They will be 74 km apart after 2 hours.
What is the relative speed of two moving objects?
For two objects, the relative speed between them equals the change in distance between them divided by the change in time. If two bodies are going in opposite directions, their relative speed is equal to the sum of their individual speeds. If they are moving in the same direction, their relative speed is equal to the difference in their individual speeds.
Given here, the Serenity travels at 17 mph and the Mystic travels at 20 mph in the opposite direction .
therefore, the relative speed is sum of their speeds = 17 + 20 = 37 mph
After 2 hours the distance between them would be = 37 × 2 = 74 mph
Hence, they will be 74 km apart after 2 hours.
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a researcher divided subjects into three groups according to whether or not they have brown, blue or green eyes, and then selected members from each group for her sample. what sampling method was the researcher using? group of answer choices random systematic cluster stratified
If the researcher divided subjects into three groups according to whether or not they have brown, blue or green eyes, then the researcher was using a stratified sampling method.
Here a researcher divided subjects into three groups according to whether or not they have brown, blue, or green eyes.
The selected members from each group for their sample
The stratified sampling method is defined as the sampling method that divides the total population into the smaller group
Here the total population is divided into three groups according to whether they have brown, blue or green eyes.
Therefore, researcher was using stratified sampling method
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A haiku is a poem with three lines: the first line contains 5 syllables, the second line 7 syllables, and the last line 5 syllables. If each word in each list shown is used at most once, how many different haiku can be made with these words?
2 syllable words:
UNKNOWN
MEASURE
COUNTING
LOGIC
3 syllable words:
ALGEBRA
TRIANGLE
REASONING
There will be 350 different haiku that can be made with the given words.
How to calculate the valueIn this case, there are 5 syllables in the first line, 7 syllables in the second line, and 5 syllables in the last line, so the number of different haiku is given by the number of combinations of 3 elements taken from the set containing 5 elements (for the first and last lines) and 7 elements (for the second line), respectively.
This can be calculated as:
C(5,3) * C(7,3) = 10 * 35
= 350
So, there are 350 different haiku that can be made with the given words.
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2. 20 m 24 m 24 26 m
Note that the body starts "with an initial velocity and moves with uniform acceleration."(Option C)
What is Acceleration?In mechanics, acceleration is defined as the rate of change of an object's velocity with respect to time. Vector quantities are accelerations. The orientation of an object's acceleration is determined by the orientation of its net force.
The distance covered by the particle in nth second
Sₙ = u + a/2(2n-1)
S₈ = 20m
S₈ = u + a/2(2x(8-1)
20 = u + 7.5a ...................()
S₉ = 22 = u + a/2(2*9-1)
22 = u + 8.5a ..................(2)
By solving equations 1 and 2 we have :
u=5m/s , a=2m/s²
Thus,
S₁₀ = u+ a/2(2*10-1)
S₁₀ = 5 + 1/2 * 2 (2 * 10-1)
S₁₀ = 5 + 19
S₁₀ = 24m
Thus, it is correct to state that the body starts with the initial velocity and moves with uniform acceleration, and the correct option is C.
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Full Question:
A body covers 20 m, 22 m, 24 m, in 8th, 9th, and 10th seconds respectively. The body starts:
from rest and moves with uniform velocity.
from rest and moves with uniform acceleration.
with an initial velocity and moves with uniform acceleration.
with an initial velocity and moves with uniform velocity.
A school T-shirt costs $7.84. The cost of 4 school T-shirts and a school sweater is $1.40 less that the cost of 2 school sweaters. Create an equation that can be used to find the cost of the sweater?
Answer:
4a + b - $1.40 = 2b
Step-by-step explanation:
Different style of problem here, so here's my guess
Let...
A = Tshirts
B = Sweaters
4a + b - $1.40 = 2b
4a + b indicates 4 shirts plus 1 sweater
The -$1.40 at the end indicates $1.40 less than
=2b indicates 2 sweaters
Compare the investment below to an investment of the same principal at the same rate compounded annually.
principal: $8,000, annual interest: 7%, interest periods: 4, number of years: 10
Please help
What is the radius of a cylinder with a volume of 950 inches to the third power in a height of 10 inches
Answer:
Step-by-step explanation:
Given the volume of a cylinder, V = πr^2h, where r is the radius, h is the height, and π is Pi, we can find the radius by rearranging the equation and solving for r.
V = πr^2h, so r^2 = V / (πh)
Taking the square root of both sides, we have:
r = √(V / (πh))
Substituting the given values:
r = √(950 / (π * 10))
Since Pi is approximately equal to 3.14, we can calculate the approximate value of r:
r = √(950 / (3.14 * 10))
r ≈ 7.46
Therefore, the radius of the cylinder with a volume of 950 cubic inches and a height of 10 inches is approximately 7.46 inches.
18.85% of the pupils in Form 2 study craft, 72% study music and 60% study both subjects. What percentage study neither craft nor music?
Answer:
Step-by-step explanation:
Sorry cant help 18.85%
Help please!
I don’t understand how to do any of this.
The answers to the geometry questions are given as follows:
2)
a)
A = 8
b = 10
x = 118°
y = 62°
b)
a = 8
b = 15
y = 50
x = 100°
3)
(a)
∠2 = 25°
3 = 65°
∠4 = 65°
∠5 = 90°
(b)
since SL = 10,
i) LT 10
ii) TM = 10
iii) SM = 10
4)
a) Since m∠118
∠2 = 18°
∠3 = 72°
∠4 = 72°
If FA = 27, then LO = 13.5
5)
a) All the angles in the diagram are equal to ∠45°
b) Line BC = 6√2
c) Line BE = 6
The above are solved using the principles behind the properties of Parallelograms; Rhombus, Rectangle, and Square.
What is the Justification for the above responses?Since the above answers are justified by the qualities or properties of :
Parallelograms; Rhombus, and Rectangle, let's look at them one by one.
2
a)
A = 8 - opposite sides of a parallelogram are equal in length
b = 10 -opposite sides of a parallelogram are equal in length
y = 62° - opposite angles of a parallelogram are of equal measure.
x = 118° - Sum of angles of a parallelogram - 360°. x = (360 - (62*2))/2
= 118°
3)
(a) Here we have a Rhombus.
∠2 = 25° - Opposite angles of a rhombus are equal; Diagonals bisect the angles of a rhombus. Thus ∠1≅∠2
∠3 = 65° - Since diagonals bisect each other at right angles, ∠3 = 180 - (25+90) = 65°
∠4 = 65° - Diagonals bisect the angles of a rhombus. Thus, ∠3≅∠3
∠5 = 90° - [properties of a Rhombus]
(b)
since SL = 10,
i) LT 10 - All sides of a Rhombus are equal
ii) TM = 10 - All sides of a Rhombus are equal
iii) SM = 10 - All sides of a Rhombus are equal
4) Here we have a Rectangle.
a) Since m∠18
∠2 = 18° because The diagonals bisect each other; and both the diagonals have the same length. Thus, m∠2≅∠1 (AAS)
∠3 = 72° - Each interior angle is equal to 90 degrees. Thus, m∠ = 90-18 = ∠72°
∠4 = 72° - because The diagonals bisect each other; and both the diagonals have the same length. Thus, m∠4≅∠3(AAS)
If FA = 27, then LO = 13.5 - The diagonals bisect each other.Thus,
LO = FA/2
LO = 27/2
LO = 13.5
5) Here we have a square.
a) All the angles in the diagram are equal to ∠45°. This is because, the diagonals bisect all interior angles. Since each interior angle is 90°, thus, each of the resulting angle bisected 45°
b) Line BC = 6√2 - This is be
c) Line BE = 6
The length of one-half of the diagonal of a square can be found using the Pythagorean theorem, which relates the lengths of the sides of a right triangle.
Let s be the side length of the square. Then, the length of the diagonal of the square (d) can be found using the equation d = s√2.
In this case, s = 6√2. So, the length of the diagonal (d) is:
d = s√2 = (6√2)√2 = 6(√2)(√2) = 6(2) = 12
Therefore, one-half of the diagonal of the square is:
(1/2)d = (1/2)(12) = 6
So, the length of one-half of the diagonal of the square ABCD is 6.
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if a restaurateur wants to know how many dollars the restaurant makes per day, which process metric is needed?
To determine how many dollars a restaurant makes per day, the restaurateur would need to measure the "revenue" metric.
Revenue is the total amount of money a business earns from its sales or services provided over a specific period of time, in this case, daily. It includes all income generated by the restaurant from selling food and drinks to customers.
Measuring revenue is essential for any business as it helps the owner understand the financial health of their enterprise. By tracking revenue over time, the restaurateur can identify patterns and trends and make informed decisions to increase profits and improve the business's overall performance.
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the only items in each of containers a, b, and c are 28 disks. in each container, each of the disks is numbered with a different integer from the integers 1 through 28 inclusive. one disk is to be selected at random from each of the 3 containers. what is the probability that at least one of the disks selected has a number greater than 24?
The probability that at least one of the disks selected has a number greater than 24 is 127/343.
To find the probability that at least one of the disks selected has a number greater than 24, we can find the probability that all three disks have numbers less than or equal to 24 and subtract this from 1.
The probability that a disk selected from a container has a number less than or equal to 24
24/28= 6/7
Since,
there are 24 disks with numbers less than or equal to 24 out of a total of 28 disks in each container.
We can assume that the selection of a disk from one container is independent of the selection of a disk from another container, so the probability that all three disks selected have numbers less than or equal to 24 is (6/7)³
since we are making three independent selections.
Therefore,
The probability that at least one of the selected disks has a number greater than 24 is 1 - (6/7)³ ,
which simplifies to 343/343 - 216/343 = 127/343
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7. Evaluate the function for x = 2, then evaluate the function for x = 7.
h(x) = −4x + 61 (SHOW YOUR WORK)
The solution of the expression at x = 2 is 53 and at x = 7 is 33.
What is an expression?Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.
Given that the expression is h(x) = −4x + 61. The value of the expression at x = 2 and x = -7 will be calculated as:-
At x = 2,
h(x) = −4x + 61
h(2) = -4 x 2 + 61
h(2) = -8 + 61
h(2) = 53
At x =7
h(x) = −4x + 61
h(2) = -4 x 7 + 61
h(2) = -28 + 61
h(2) = 33
Therefore, the values are 53 and 33.
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Pls show your work thank you will mark the Brainliest
The graph that best models the exponential function is given as follows:
Graph A.
How to define the exponential function?An exponential function is defined as follows:
y = a(b)^x.
In which:
a is the value of y when x = 0.b is the rate of change.The parameters for this problem are given as follows:
a = 200,000 -> initial value of the home -> when t = 0, y = 200,000.b = 1.06 -> value increases by 6% each year.Hence the function is given as follows:
y = 200000(1.06)^x.
The value of the home after 5 years is given as follows:
y = 200000(1.06)^5
y = $267,645.
Which is best approximated by the Graph A.
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The volume V (in cubic feet) of the pyramid is given by F(x)=-4
The function (x) = (3x) gives the volume (in cubic feet) of the pyramid when x is measured in yards. Write a rule for W.Find and interpret W(5)
The volume is 3315 cubic feet.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given polynomial function is V(x)=x³-4x.
Here, W(x)=V(3x)
Replace x by 3x in the function V(x)=x³-4x, we get
V(3x)=(3x)³-4(3x)
V(3x)=27x³-12x
W(x)=27x³-12x
Replace x by 5 in the function W(x)=27x³-12x, we get
Now, W(5)=27(5)³-12(5)
= 27×125-60
= 3375-60
= 3315 cubic feet
Hence, the volume is 3315 cubic feet.
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"Your question is incomplete, probably the complete question/missing part is:"
A polynomial function V(x)=x³-4x that represents the volume of the right triangle pyramid when measured in cubic feet.
The function (x) =(3x) gives the volume (in cubic feet) of the pyramid when x is measured in yards.
Find a function W(x) that gives us the volume when measured in yards also to find W(5).
pls help will give brainliest??
which statement best describes the association between variable X and Y?
you do not give the answer choice in this picture, but I assume it is along the lines of this
The scatter plot shows a negative association between variable X and Y
The graph of the linear function f(x) = -5x + 6 shows the number of cases of the flu, y, in thousands, x months after a vaccine was administered. What are the rate of change and the initial
value?
A 6,000 cases of the flu per month; initial value: -5,000 cases
B-5 cases of the flu per month; initial value: 6 cases
C 1 case of the flu per month, initial value: 0 cases
D -5,000 cases of the flu per month; initial value: 6,000 cases
Answer:
D
Step-by-step explanation:
The 6 represents the initial value of 6000. The cases are going down 5,000 a month.
HELPP!! please!!! asap
Answer:
6 units
Step-by-step explanation:
Since the two angles are equal, this means that the triangle is isosceles. So x+4 = 3x-8. After solving, 2x = 12, x = 6. So AC is 6 units.
Answer: 6 units
Step-by-step explanation:
Since this is an isosceles triangle lines AB and BC are congruent so
x + 4 = 3x - 8 ---- add 8 and subtract x on both sides
12 = 2x ---- divide by 2 to isolate the x
x = 6
what is the rate of change
2
The area of a rectangular window is 3726 cm².
If the length of the window is 69 cm, what is its width?
Width of the window: cm
PROBABILITY IN FRACTIONS PLSSSSSSS
Franny's suitcase weighs 35.7 pounds. Which statement is not true?
A. The 35 represents whole pounds. The 7 represents part of a
pound.
B. The 7 represents more weight than the 5.
OC. The suitcase weighs more than 35 pounds, but less than 36
pounds.
OD. All of these statements are true.
Point W is located at (-5, -3). Select all of the following that are 5 units away from point W
These are the four points that are exactly 5 units away from point W. To find points that are 5 units from point W, which is located at (-5, -3).
To find points that are 5 units from point W, which is located at (-5, -3), we need to find all points that are a distance of 5 units away from (-5, -3) using the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the distance between two points) is equal to the sum of the squares of the lengths of the other two sides
Given a point (x, y), the distance between that point and point W can be found using the formula:
distance = sqrt((x + 5)^2 + (y + 3)^2)
Setting this distance equal to 5 and solving for x and y, we get the following points:
(0, -8), (-10, -8), (0, 2), and (-10, 2).
These are the four points that are exactly 5 units away from point W.
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Select all of the ways the system of equations can be solved.
9x - 2y = 4
3x+8y=12
A) Multiply the first equation by 4, then add the equations.
B) Multiply the second equation by 3, then add the equations.
C) Multiply the first equation by 3, then add the equations.
D) Multiply the second equation by 3, then subtract the equations.
E) Multiply the first equation by 4, then subtract the equations.
The ways the system of equations 9x - 2y = 43x+8y=12can be solved are:
A) Multiply the first equation by 4, then add the equations.
D) Multiply the second equation by 3, then subtract the equations.
How can the system of equations?From the given equations,9x - 2y = 43x+8y=12we need to use wyas of solving simultaneous equation to solve it.
Then if we Multiply the first equation by 4, thge we can then perform addition to the second equation like
9x - 2y = 4
36x - 8y = 4
3x+8y=12
then if we add to equation 2 we have
39x =12
then we can solve x = 12/39
The same can be done with equation D .
Therefore, option A and D are correct.
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Answer:
Step-by-step explanation:
To solve the system of equations:
9x - 2y = 4 ...(1)
3x + 8y = 12 ...(2)
We can use elimination method by adding or subtracting the equations in a way that one variable is eliminated.
Here are the possible ways to solve the system:
A) Multiply the first equation by 4, then add the equations.
Multiplying the first equation by 4 gives:
36x - 8y = 16
Adding the resulting equation to the second equation gives:
36x - 8y + 3x + 8y = 16 + 12
Simplifying the equation:
39x = 28
x = 28/39
Substituting x in equation (1) gives:
9(28/39) - 2y = 4
Solving for y gives:
y = -155/78
Therefore, the solution is (x,y) = (28/39, -155/78).
B) Multiply the second equation by 3, then add the equations.
Multiplying the second equation by 3 gives:
9x + 24y = 36
Adding the resulting equation to the first equation gives:
9x - 2y + 9x + 24y = 4 + 36
Simplifying the equation:
18x + 22y = 40
Dividing the equation by 2 gives:
9x + 11y = 20
Substituting 9x from equation (2) gives:
3x + 8y = 12
Solving for x gives:
x = (12 - 8y)/3
Substituting x in equation (3) gives:
9[(12-8y)/3] + 11y = 20
Solving for y gives:
y = 16/39
Substituting y in equation (2) gives:
3x + 8(16/39) = 12
Solving for x gives:
x = 28/39
Therefore, the solution is (x,y) = (28/39, 16/39).
C) Multiply the first equation by 3, then add the equations.
Multiplying the first equation by 3 gives:
27x - 6y = 12
Adding the resulting equation to the second equation gives:
27x - 6y + 3x + 8y = 12 + 12
Simplifying the equation:
30x = 24
x = 4/5
Substituting x in equation (1) gives:
9(4/5) - 2y = 4
Solving for y gives:
y = -23/10
Therefore, the solution is (x,y) = (4/5, -23/10).
D) Multiply the second equation by 3, then subtract the equations.
Multiplying the second equation by 3 gives:
9x + 24y = 36
Subtracting the second equation from the first equation gives:
6x - 26y = -8
Solving for x gives:
x = (26y - 8)/6
Substituting x in equation (2) gives:
3[(26y-8)/6] + 8y = 12
Solving for y gives:
y = 16/39
Substituting y in equation (1) gives:
9x - 2(16/39) = 4
Solving for x gives:
x = 28/39
Therefore, the solution is (x,y) = (28/39, 16/39).
When a scientist conducted a genetics experiments with peas, one sample of offspring consisted of 933 peas, with 729 of them having red flowers. If we assume, as the scientist did, that under these circumstances, there is a 3/4 probability that a pea will have a red flower, we would expect that 699.75 (or about 700) of the peas would have red flowers, so the result of 729 peas with red flowers is more than expected.
. If the scientist's assumed probability is correct, find the probability of getting 729 or more peas with red flowers.
b. Is 729 peas with red flowers significantly high?
c. What do these results suggest about the scientist's assumption that 3/4 of peas will have red flowers
The solution to the statistics have been given below
How to solve for the probabilityThe probability = 3 / 4 = 0.75
n = 933
x≥ 729
np = 0.75 * 933
= 699.75
√933 * 0.75 * 0.25
= √174.9375
= 13.23
using the continuity correction we have
729 - 0.5
= 728.5 - 699.75 / 13.23
= 2.17
The p value is 0.015003.
there is a 1.5% chance of getting 729 peas with red flowers
b. given that Z is greater than 2, this can be said to be high
c. These results suggest that the scientist maybe wrong in his assumption
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y-x²-14x=54
43=y-6x
non linear simultaneous equations
Solution of the system of equations y - x²- 14x = 54 and 43 = y - 6x are
x = -4 ± √5 and y = ± 6√5 + 19
What is equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given equations
y - x²- 14x = 54
y = x² + 14x + 54 -------------(1)
43 = y - 6x
y = 6x + 43 ------------(2)
By equation (1) and (2)
6x + 43 = x² + 14x + 54
x² + 14x + 54 - 6x -43 = 0
x² + 8x + 11 = 0
a = 1, b = 8, c = 11
x = (-b ± √(b² - 4ac))/2a
x = (-8 ± √(64 - 4.11))/2
x = -4 ± √16-11
x = -4 ± √5
Putting value of x in equation (2)
y = 6(-4 ± √5) + 43
y = -24 ± 6√5 + 43
y = ± 6√5 + 19
Hence, x = -4 ± √5 and y = ± 6√5 + 19 are the solutions of equations
y - x²- 14x = 54 and 43 = y - 6x.
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In the diagram, BA BE and CE CD.
What is mZDAE?
m2DAE =
Submit
B
68⁰
52%
E
mZDAE is a line segment that connects the midpoints of line segments BA and CE. In the diagram, its coordinates are (66⁰, 52%).