Answer: No
Step-by-step explanation:
Substitute (2,12) into the second equation.
4(2) - (12) = 0
8 - 12 = 0
-4 = 0
This statement is false.
A triangle has sides with lengths of 8 centimeters, 14 centimeters, and 16 centimeters. Is it a right triangle?
Answer:
No, the triangle is not a right triangle
Step-by-step explanation:
In this question, we are asked to determine if the triangle having the lengths given in the question is a right triangle.
To answer this question, we need to take into consideration a very important property of right angle triangles.
The property is that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the two other sides
The hypotenuse is the one with the longest length. Thus, the hypotenuse here is 16 centimeters.
Now let’s have the squares!
The square of the hypotenuse is 16 * 16 = 256
Let’s sum the squares of the other two sides;
(8 * 8) + ( 14 * 14) = 64 + 196 = 260
These squares are not equal so we can conclude that the triangle is not a right triangle
A family fair went to the fair and paid $24 for 2 adult tickets and 2 youth tickets. A youth ticket is half the price of an adult ticket. How much did a youth ticket cost?
Answer:
Youth tickets = $4
Step-by-step explanation:
Let x and y represent the price of adults and youth tickets respectively;
Given;
A youth ticket is half the price of an adult ticket
y = 0.5x ......1
They paid $24 for 2 adult tickets and 2 youth tickets.
2y + 2x = 24 ......2
Substituting equation 1 into 2;
2(0.5x) + 2x = 24
x + 2x = 24
3x = 25
x = 24/3 = 8
Since, y = 0.5x
y = 0.5(8) = 4
Adult tickets = $8
Youth tickets = $4
Determine which function is a solution to the differential equation xy ' + 2y = 0.
e^2x
x^2
x^-2
None of these
Thus far, I have ruled out option a.
Thank you!
Answer:
x⁻²
Step-by-step explanation:
If y = e²ˣ, y' = 2e²ˣ.
2xe²ˣ + 2e²ˣ ≠ 0
If y = x², y' = 2x.
2x² + 2x² ≠ 0
If y = x⁻², y' = -2x⁻³.
-2x⁻² + 2x⁻² = 0
The x^-2 function is a solution to the differential equation
[tex]xy ' + 2y = 0.[/tex]
We have given,
The differential equation[tex]xy ' + 2y = 0.[/tex]
What is the differential equation?A differential equation is an equation with one or more derivatives of a function. The derivative of the function is given by dy/dx.
If [tex]y = e^{2x}, y' = 2e^{2x}.[/tex]
[tex]2xe^2x + 2e^2x[/tex]≠0
If [tex]y = x^2, y' = 2x.[/tex]
[tex]2x^2 + 2x^2[/tex]≠0
If[tex]y = x^-2, y' = -2x^-3.[/tex]
[tex]-2x^-2 + 2x^-2= 0[/tex]
Therefore, the x^-2 function is a solution to the differential equation
[tex]xy ' + 2y = 0.[/tex]
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Explain how rays AB and AC form both a line and an
angle
с
A
B
I
Answer: an angle is defined as two rays with a common end point, so CAB is an angle. A line is described as an infinite set of points that extend forever in eaither direction, which these rays also do.
Step-by-step explanation:
Answer:
An angle is defined as two rays with a common endpoint, so CAB (or BAC) is an angle. A line is described as an infinite set of points that extend forever in either direction, which these rays also do.
What did you include in your response? Check all that apply. (You should have all of these)
Angles are rays with a shared endpoint.
Lines extend forever in either direction.
Rays AB and AC extend forever in either direction.
PLEASE HELP THIS IS DUE!!!!!
Answer:
what are we supposed to answer
Step-by-step explanation:
Answer:
idk
Step-by-step explanation:
there is nothing there
The binomial (x + 5) is a factor of x2 + 8x + 15. What is
the other factor?
2
+x
+x
(x + 3)
(x + 7)
(x + 12)
(x + 13)
+
Answer:x+3
Step-by-step explanation:
5×3=15
5+3=8x
Answer:
A
Step-by-step explanation:
3x0? plz halp... I don't understant
Answer: 0 ok
Step-by-step explanation: please I want to be brainliest
What is the distance between points A(13, 2) and B(7, 10)
Answer:
distance = sqrt((x2-x1)^2 + (y2-y1))
distance = sqrt((7-13)^2 + (10-2)^2)
distance = sqrt( -6^2 + 8^2)
distance = sqrt(36+64)
distance = 10
Step-by-step explanation:
Answer:
10 units
Step-by-step explanation:
d = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]
d = [tex]\sqrt{(13 - 7)^2 + (2 - 10)^2}[/tex]
d = [tex]\sqrt{(6)^2 + (-8)^2}[/tex]
d = [tex]\sqrt{36 + 64}[/tex]
d = [tex]\sqrt{100}[/tex]
d = 10 units
1. Use Euler’s formula to find the number of vertices in a polyhedron with 18 edges and 9 faces
use formula: F+V = E+2
please help!
Answer: 11 vertices
Step-by-step explanation:
Hi, to answer this question we simply have to substitute E=18 and F= 9 on Euler's formula:
F+V = E+2
Where:
F = number of faces
V = number of vertices
E= number of edges
Replacing with the values given:
9+V = 18+2
Solving for V:
V =18+2-9
V = 11
Feel free to ask for more if needed or if you did not understand something.
Three swimmers competed in a 50 m freestyle race. A description of their swimming speeds is given. Order the swimmers from first to third place.
1) Terrance swam faster than mike
2) Nathan swam 50 meters in 32 seconds
3) Mike swam 50 meters in 28 seconds
Answer:
terrance then mike then nathan
Step-by-step explanation:
About 3.3 × 106 students graduated from high school last year. If 0.66 of those graduates enrolled in college, approximately how many students enrolled in college?
Answer:
About 231 students enrolled
Step-by-step explanation:
3.3 times 106 is about 349.8 students that graduated.
0.66 percent graduated right? So multiply 349.8 times 0.66 to get 230.868
Help me out!!!! What is it
Answer:
92
Step-by-step explanation:
180-88=92
Supplementary angles equal 180 degrees
Answer:
92 degrees
Step-by-step explanation:
180-88=92
3a/4+2a/3-a/12
a. a/3
b. 4/3
c. (4a)/3
Answer: C
Step-by-step explanation:
[tex]\frac{3a}{4}+\frac{2a}{3}-\frac{a}{12}[/tex]
Find the least common denominator of 4, 3, and 12.
4-3-12 | 3
4-1-4 | 4
1-1-1 |-------- 12
The first fractions needs to be multiplied by 3, and the second fraction, by 4
[tex](\frac{(3a)*3}{(4)*3})+(\frac{(2a)*4}{(3)*4})-\frac{a}{12}[/tex]
Solve;
[tex]\frac{9a}{12}+\frac{8a}{12}-\frac{a}{12}[/tex]
Add the fractions with positive signs and subtract the one with negative sign.
[tex]\frac{(9a+8a)-a}{12}[/tex]
Solve;
[tex]\frac{17a-a}{12}=\frac{16a}{12}[/tex]
Simplify by 4;
16/4=4
12/4=3
[tex]\frac{4a}{3}[/tex]
Answer:
(4a)/3
Step-by-step explanation:
3a/4+2a/3-a/12
find L.C.M
9a+8a-1a/12=16a/12
16a/12=(4a)/3
A commercial airplane travels 5,000 feet east and then ascends 3,000 feet from its starting point in the sky. Upon noticing a severe storm system on the horizon, the pilot decides to return to the starting point. A) how much distance does the plane have to travel to turn back? B) at what angle would the plane need to travel to return to its starting point. (1,000 feet = 1 unit)
Answer:
A) 5830.95 B)59.04
Step-by-step explanation:
Solve for the hypotenuse of 5,000 and 3,000
Use tangent to find the angle
tanx = 5,000/3,000
x=59.04
The distance the plane has to travel to turn back is 5830.95 km.
The angle would the plane need to travel to return to its starting point is 59.04°
How to find the distance?Solve for the hypotenuse of 5,000 and 3,000
Use tangent to find the angle
tanx = 5,000/3,000
x = 59.04
Height is the size of an object in the vertical course and distance is the measurement of an object from a specific factor in the horizontal route.
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Carlos took a test and made a 50. On the next test, he made a 75. What is the percentage of change between the two test scores?
150% increase
50% increase
150% decrease
50% decrease
What is the value of x in the equation in (x+6)- in (2x-1)
Answer:
x = 7
Step-by-step explanation:
(x + 6) - (2x-1)
= x - 2x + 6 + 1
= -x + 7
x = 7
A rectangular swimming pool is 15 meters long, 10 1⁄2 meters wide, and 2 1⁄2 meters deep. What is its volume?
Answer:
393.75 m^3
Step-by-step explanation:
to find the volume, u need to multiply the length by the width by the height . when u multiply the 3 numbers u will get 393.75 m^3
Directions: Identify the two integers which the square root lies between.
V48
5 and 6
7 and 8
6 and 7
8 and 9
Solve the equation in the image
Answer:
x = 70
Step-by-step explanation:
[tex] \sqrt{x - 6} = 8 \\ squaring \: both \: sides \\ {( \sqrt{x - 6)} }^{2} = {8}^{2} \\ x - 6 = 64 \\ x = 64 + 6 \\ \huge \red{ \boxed{ x = 70 }}\\ [/tex]
Answer:
Step-by-step explanation:
[tex]\sqrt{x-6}=8[/tex]
Take square,
[tex](\sqrt{x-6})^{2}=8^{2}\\\\x-6=64\\\\[/tex]
Add 6 to both sides,
x - 6 + 6 = 64+6
x = 70
If the sphere shown above has a radius of 14 units then what is the approximate volume of the sphere
Answer:
About 11494.04
Step-by-step explanation:
There is no sphere shown above but I can still get you the answer:
The formula for the volume of a sphere is [tex]\frac{4}{3} *[/tex]π*r³
Putting in the radius, we get:
[tex]\frac{4}{3}[/tex]*π*14³=
[tex]\frac{4}{3}[/tex]*π*2744=
[tex]\frac{10976}{3}[/tex]*π=
3658.66*π≈11494.04
Someone help me pleaseeee
Answer:
you have to add all the angles including 'x' which is equals to 180°.
The process is
99+49+x=180
148+x=180
x=180-148
x=32.
plzzzzzzzzzzzzzzzzzzzz
Answer:
B
Step-by-step explanation:
I graphed the equation, and the highest point was at 3.7 feet in the air, 4 seconds into the flight. See the graph below. Hope this helps!
If f(x) = x2 + 2x – 10, what is f(-2)?
Answer:
The answer is -18
Step-by-step explanation:
Actually if the x2 is supposed to be x^2 then it's -10
Answer: -18
Step-by-step explanation:
3. What is the solution of the system of equations 3x +2y =10 and – 6x – y=-14?
Answer:
x=2 y=2
Step-by-step explanation:
Rewrite equations:
−6x−y=−14;3x+2y=10
Step: Solve−6x−y=−14for y:
−6x−y=−14
−6x−y+6x=−14+6x(Add 6x to both sides)
−y=6x−14
−y
−1
=
6x−14
−1
(Divide both sides by -1)
y=−6x+14
Step: Substitute−6x+14foryin3x+2y=10:
3x+2y=10
3x+2(−6x+14)=10
−9x+28=10(Simplify both sides of the equation)
−9x+28+−28=10+−28(Add -28 to both sides)
−9x=−18
−9x
−9
=
−18
−9
(Divide both sides by -9)
x=2
The first company charges 6500 to rent trucks plus an additional fee of 125.50 for each ton of sugar. The second company charges 5597 to rent trucks plus an additional fee of 200.75 for each ton of sugar. For what amount of sugar do the two companies charge the same? What is the cost when the two companies charge the same?
Answer:
a. 12
b. 8006
Step-by-step explanation:
We have company A, which is determined with the following equation:
A = 6500 + 125.5 * x
where x is the amount of ton of sugar
Same for company B:
B = 5597 + 200.7 * x
We want to know when A = B are equal, therefore:
6500 + 125.5 * x = 5597 + 200.7 * x
200.75 * x - 125.5 * x = 6500 - 5597
75.25 * x = 903
x = 903 / 75.25
x = 12
That is to say that when they are 12 tons of sugar they charge the same.
To know how much the value would be:
A = 6500 + 125.5 * 12 = 8006
B = 5597 + 200.75 * 12 = 8006
That is to say that the value when it is equal is 8006
Determine the scale factor from the point A(2, 6) of DEF to D’E’F’ where D(-8, 6), E(-8, 14), F(2, 3) (- 3, 6) and D’ (-3, 6) E’(-3, 10) and F’(2, 4.5) What is the scale factor?
Answer:
The scale factor to transform DEF to D'E'F' is 1/2
Step-by-step explanation:
DEF is
D(-8, 6), E(-8, 14), F(2, 3)
D'(-3, 6), E'(-3, 10), F'(2, 4.5)
Therefore;
DE = √((-8-(-8))²+(6-14)²) = 8
D'E' = √((-3 -(-3))² + (6 - 10)²) = 4
Similarly,
EF = √((-8 - 2)² + (14 - 3)²) = √(100 + 121) = √221
E'F' = √((-3 - 2)² + (10 - 4.5)²) = √(100/4 + 121/4) = (√221) × 1/2
Also
DF = √(-8 - 2)² + (6 - 3)² = √(100 + 9 =√109
D'F' = √(-3 - 2)² + (6 - 4.5)² = √(5² + 3²) = √((10/2)² + (3/2)²) = √(100/4 + 9/4) = (√109)×1/2
Therefore the ratio of DEF to D'E'F' = DE/D'F' = EF/E'F' = DF/D'F' = √221/(√221) × 1/2 = 2
That is the scale factor of DEF to D'E'F' = 1/2.
I NEED HELP PLZ I FORGOT HOW TO DO THIS PLZ EXPLAIN HOW U GOT UR ANSWER HELPP
Answer:
5
Step-by-step explanation:
Using the formula of a trapezoid, we can solve this!
Formula is A=1/2(b1+b2)h.
A=1/2(2+8)1
A=1/2(10)1
A=1/2(10)
The area would be 5 cubic in2.
Please tell me if im wrong! im just a student .m.
Answer:
5 units²
Step-by-step explanation:
a for a trapezoid = [tex]\frac{a+b}{2} *h[/tex]
[tex]\frac{8+2}{2} *1[/tex] = [tex]\frac{10}{2} * 1[/tex] = 5*1 = 5
The area is 5 units²
Which expressions are equivalent to g+h+(j+k) Check all that apply
Answer:
g+h+(j+k)
Step-by-step explanation:
(g+h)+j+k
(g+k)+j+h
(g+j)+h+k
(k+h)+j+h
(j+h)+g+k
Answer:
1 and 3
Step-by-step explanation:
dont mind me this needed to be longer wait still needs no be longer
Please Help me
A restaurant has a build your own personal pizza on their express lunch menu. A customer can only choose one item from each category. The table below shows the different choices. How many different ways can a person order a lunch pizza?
A. 3
B. 9
C. 18
D. 27
Answer:
D.27
Step-by-step explanation:
its kinda hard to explain i would have to show you give me ur email and i will send u a video if u like
The two-way table of column relative frequencies below shows data on whether or not a person has internet access and their preferred method to communicate with friends.
Based on the data, which of the following statements must be true?
(Choice A)
A person who prefers to communicate with friends in person is more likely to have no internet access than to have internet access.
(Choice B)
A person with internet access is more likely than a person without internet access to prefer the wired telephone to communicate with their friends.
(Choice C)
A person with internet access is more likely than a person without internet access to prefer text messaging to communicate with their friends.
(Choice D)
More people without internet access prefer using social networking than people with internet access.
Answer: c
Step-by-step explanation: 54% of people with internet access prefer text messaging, while only 31% of people without internet access prefer text messaging.
Based on the data, Option (c) statements must be true. "A person with internet access is more likely than a person without internet access to prefer text messaging to communicate with their friends."
What is internet speed?It is Mbps or kbps of data packets that can be transferred within a specified time.
Because 54% of the people who have internet access uses the text messaging method While 31 % people with no internet access uses the text messaging method.Thus A person with internet access is more likely than a person without internet access to prefer text messaging to communicate with their friends.Learn more about internet speed,
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