The distance between the two points (5,6) and (10,12) is [tex]\sqrt{61}[/tex]
What is the distance between two points formula?
The length of the line segment bridging two points on a plane is known as the distance between the points. d=((x2 - x1)2 + (y2 - y1)2) is a standard formula to calculate the distance between two points. This equation can calculate the separation between any two locations on an x-y plane.
Solution explained:
First, Write the distance formula:
[tex]\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2}}[/tex]
Now,
Substitute (5,6) and (10,12) into [tex]\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2}}[/tex] :
[tex]\sqrt{(10 - 5)^{2} + (12 - 6)^{2}}[/tex] Calculate
[tex]\sqrt{(5)^{2} + (6)^{2}}[/tex] Calculate
[tex]\sqrt{25 + 36}[/tex] Calculate
Hence. the distance between points (5,6) and (10,12) is [tex]\sqrt{61}[/tex].
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14. Rewrite the fraction so that the numerator
and denominator have the same units. Then
simplify.
350 g
1 kg
The simplification of the fraction would be;
[tex]= \frac{350g}{1kg}[/tex]
[tex]= \frac{350g}{1000g}=\frac{7}{20}g= 0.35g[/tex]
What is fraction?
A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator.
In a simple fraction, both are integers.
A complex fraction has a fraction in the numerator or denominator.
In a proper fraction, the numerator is less than the denominator.
Explanation of the answer:
Given that :
350g/1kg
Firstly we convert kilogram into gram:
1 kg = 1000 g
The mass m in grams (g) is equal to the mass m in kilograms (kg) times 1000:
m(g) = m(kg) × 1000
So the given values are changes into:
[tex]\frac{350g}{1000g}\\[/tex]
[tex]= \frac{7g}{20g}[/tex](divide numerator and denominator by 50)
[tex]\\=0.35g[/tex]
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what is the answer to this question?
3 5/6+ (-1 1/6)=
Triangle ABC is congruent to triangle XYZ. Side BC corresponds to what side in triangle XYZ?
Answer:
Side BC is congruent to side YZ
If x²+kx+16/9 is a perfect square. Find the value of k
Answer:
For x² + kx + 16/9 to be a perfect square, k should be equal to 8/3
Step-by-step explanation:
If x² + kx + 16/9 is a perfect square then it must satisfy the formula of (a + b)² i.e. equal to a² + 2ab + b².
So, first we will form a equal that looks similar to the formula:
[tex] \rm \implies {x}^{2} + kx + \dfrac{4 \times 4}{3 \times 3} \\ \\ \rm \implies {x}^{2} + kx + { \bigg( \dfrac{4}{3} } \bigg)^{2} [/tex]
Now by comparing we get,
[tex] \rm \implies k \cancel{x} = 2 \times \cancel{x}\times \frac{4}{3} \\ \\ \rm \implies k = \dfrac{8}{3} [/tex]
A = LW is the formula for the area of a rectangle.
Solve the formula for W.
Can someone help I don’t understand??
Answer:
What you need to do is match with one is a regular, irregular, and or not a polygon.
Each shape has a label like A is a triangle and so on
Put the Label of the shape where it belongs inside the chart
Answer:
If all the sides and interior angles of the polygons are equal, they are known as regular polygons.
C and E are regular polygons.
Irregular polygons are those types of polygons that do not have equal sides and equal angles.
A, B and F are irregular polygons.
3D shapes are irregular polygons.
D is an irregular polygon.
Step-by-step explanation:
Given that there are 100 centimeters in 1 meter, which of the following amounts is greater than 3 meters? Select all that apply.
A) 295 centimeters
B) 2 meters, 195 centimeters
C) 2 meters, 35 centimeters
D) 135 centimeters
E) 415 centimeters
Answer:
B, E
Step-by-step explanation:
3 meters is 300 centimeters so that eliminates A and D since they are lower and we know E is higher than 300
Now to find if B and C are higher since they both are 2 meters is we make 3 meters look like this it will be
2 meter 100 centimeters and b is the only one greater
Hopes this helps please mark brainliest
The table shows the linear relationship between the number of pages left to read in a novel and the number of hours a student has already spent reading the novel. Mark each statement as true or false. If false, rewrite the statement correctly.
The student reads at a rate of 48 pages per hour.
By using the rate of change formula for linear equations, we will see that the statement is true.
Is the statement true or false?
Here we have the following statement:
"The student reads at a rate of 48 pages per hour."
Which relates to the linear equation represented on the table.
A general linear equation is written as:
y = a*x + b
Where a is the rate and b is the y-intercept.
If the line passes through two points (x1, y1) and (x2, y2), then the rate is:
rate = (y2 - y1)/(x2 - x1)
Using the first two points (1,644) and (4, 500) we can get the rate:
R = (500 - 644)/(4 - 1) = -48
So the number of pages remaining decreases by 48 each hour of reading, then yes, the student reads at a rate of 48 pages per hour.
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given that x = 2 and y = -4, find the value of 3x + y
given that q = 3m - 2p, express m in terms of p and q.
[tex]\huge\mathcal {♨Answer♥}[/tex]
Answer is on the attachment...
☆...Hope this helps...☆
_♡_mashi_♡_
Your faucet in your kitchen starts leaking. You put a bucket under it. The faucet is leaking at a constant rate. After 5 minutes, there is 300 mL of water in the bucket. What is the pattern rule?
Answer: 60mL per minute
Step-by-step explanation:
300/5=60
Can I please get brainly?
How do you solve this? (-7 + i)(-3 + 6i).
After simplification, the solution of the expression (-7 + i)(-3 + 6i) is 15 - 45i.
In the given question we have to solve the given expression.
The given expression is (-7 + i)(-3 + 6i).
Using the distributive property to solve the given expression.
a(b+c)=ab+ac
Now simplifying the expression.
(-7 + i)(-3 + 6i) = -7(-3 + 6i) + i(-3 + 6i)
(-7 + i)(-3 + 6i) = (-7)*(-3) + (-7)*(6i) + (-3)i + (6i)i
(-7 + i)(-3 + 6i) = 21 - 42i - 3i + 6i^2
As we know that i^2 = -1. So
(-7 + i)(-3 + 6i) = 21 - 42i - 3i + 6(-1)
(-7 + i)(-3 + 6i) = 21 - 42i - 3i - 6
Simplifying
(-7 + i)(-3 + 6i) = 15 - 45i
Hence, the solution of the expression (-7 + i)(-3 + 6i) is 15 - 45i.
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[tex]3\sqrt{6w-288[/tex]
Can anyone write the equation of the graph?
The function represented by the graph has an equation of f(x) = |x - 3| + 5
How to find the equation of the graph line?From the question, we have the following graph that can be used in our computation:
The graph is an absolute value graph
As a general rule, an absolute value is expressed as
y = |x - h| + k
In this case, the vertex is
Vertex = (h, k)
As a general rule, the vertex of a function is the minimum point on the graph
On the given graph, the minimum point is (3, 5)
This means that
(h, k) = (3, 5)
Substitute the values (h, k) = (3, 5) in the equation y = |x - h| + k
So, we have the following representation
y = |x - 3| + 5
Rewrite the equation as a function
f(x) = |x - 3| + 5
Hence, the equation of the graph represented by the figure is f(x) = |x - 3| + 5
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Two glasses of milk and 3 snack bars have a total of 67 carbohydrates (carbs), and 4 glasses of milk and 2 snack bars have a total of 74 carbs. Determine how many carbs are in one glass of milk and in one snack bar.
Using the figure below, which table correctly lists the steps and reasons used to find the measure of angle d?
Answer:
140
Step-by-step explanation:
140
A carpenter needs 8.5 feet of rope for a project. How much will the carpenter spend if the rope costs $4.57 per foot?
Answer: The carpenter will spend $38.84
Step-by-step explanation:
8.5 feet of rope and the rope costs 4.57 per foot
8.5x4.57=38.845
Since half a cent does not exist we can get rid of the 5 at the end
Therefore the carpenter will have to spend $38.84
Unless you want to round it up, then it will be $38.85
Extra Credit
Where does this function cross the x-axis?
y = 25x² - 49
Answer:
Step-by-step explanation:
45
Find the other endpoint with the given endpoint (-5, 1) and midpoint (3, -4)
The other end point with the given endpoint (-5, 1) and midpoint (3, -4) is (11, -9)
What is mid point?A midpoint is a point lying between two points and is in the middle of the line joining the two points.
The mid point formula is represented as follows;
(xₙ, yₙ) = (x₁ + x₂ / 2, y₁ + y₂ / 2)
Let's find the other end point with the given endpoint (-5, 1) and midpoint (3, -4).
Hence,
(3, -4) = (-5 + x₂ / 2, 1 + y₂ / 2)
Therefore,
3 = -5 + x₂ / 2
cross multiply
6 = -5 + x₂
x₂ = 6 + 5
x₂ = 11
-4 = 1 + y₂ / 2
cross multiply
-8 = 1 + y₂
y₂ = -8 - 1
y₂ = - 9
Therefore, the endpoint is (11, -9)
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pens cost 20p each and pencils cost 12p each if i buy 6 pens and 5 pencils what will be the total cost
Answer:
$1.80
Step-by-step explanation:
Scott will purchase a new computer on an installment plan. The computer costs $2,300 and requires a 15% down payment.
a.) How much is the down payment?
The value of the down payment for the car is $345.
How to calculate the.dow payment?From the information, Scott will purchase a new computer on an installment plan and the computer costs $2,300 and requires a 15% down payment.
The value of the down payment will be:
= Down payment percentage × Total cost
= 15% × $2300
= 0.15 × $2300
= $345
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John needs a total of $100 to buy a birthday present for his friend. He has already saved $35. If he saves $10 a week from his earnings what is the least number of weeks he must work to have enough money to buy the present?
Answer: D) 7
Step-by-step explanation:
First put this into an equation as shown
f(x)=10x
The 10 is for the money he makes and the x is the amount of weeks
then take the 35 dollars he already saved and put it into an equation as shown
35+f(7)
the f(7) is just another way to say y=10(7) (f(x) is just y but fancy lol)
7 is the number of weeks he can work to get 105. It can't be 6 because that would be 95 dollars and it can technically be 8 but the question ask for the least number of weeks.
Hope that helped. It may have been a bit complicated.
Answer:5
Step-by-step explanation:
10x7=70
35+70=105
the numbers 1, 2, 3, 4, 5 are to be arranged in a circle. an arrangement is badbad if it is not true that for every nn from 11 to 1515 one can find a subset of the numbers that appear consecutively on the circle that sum to nn arrangements that differ only by a rotation or a reflection are considered the same. how many different bad arrangements are there?
There are 2 different bad arrangements possible.
We see that there are 5! absolute ways of orchestrating the numbers. Nonetheless, we can constantly turn these numbers so that, for instance, the number 1 is dependably at the highest point of the circle. Consequently, there are just 4! ways under turn, which is easy to drill down. We methodically list out every one of the 24 cases.
Presently, we should inspect assuming they fulfill the circumstances. We can see that by selecting each number, in turn, we can continuously acquire subsets with aggregates 1, 2, 3, 4, and 5. By picking the round trip, we can get 15. By selecting everything aside from 1, 2, 3, 4, and 5, we can get subsets with amounts of 10, 11, 12, 13, and 14.
This implies that we presently just have to check for 6, 7, 8, and 9. Be that as it may, whenever we have found a set adding to 6, we can pick all the other things and get a set adding to 9, and comparably for 7 and 8. Hence, we just have to check each case for whether we can acquire 6 or 7.
We observe that there are just 4 arrangements that fulfill these circumstances. In any case, each of these is an impression of another. We divide by 2 for these reflections to get the final answer of B = 2.
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Given that x is a nonnegative number, a student conjectured that a +5 < x²
Which value of x is a counterexample to the student's conjecture?
A.) x = -1/
5
B.)x = -5
C.)x = 0
D.) x = 5
Option B, x = -5 is correct answer, x = -5 is the counter example to the student's conjecture.
What is inequality?
A mathematical phrase in which the sides are not equal is referred to as being inequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.
Given inequality in the question is:
x +5 < x²
We will check each option given I question by putting value of x,
putting x = -1/5
x + 5 < x²
-1/5 + 5 < (-1/5)²
24/5 < 1/25
4.8 < 0.04
This is wrong inequality , Therefore, x is not equal to -1/5
putting x = -5
x + 5 < x²
-5 + 5 < (-5)²
0 < 25
This is satisfying the inequality ,
Therefore, x is equal to -5
Hence, correct answer is x = -5
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what two numbers add to "-5" and multiply to "-4"
The numbers that add to -5 and multiply to -4 are -5.7015 and 0.7015.
There are two numbers. The addition of the two numbers is -5. The multiplication of the two numbers is -4. We need to find the two numbers. Let the first number and the second number be represented by the variables x and y, respectively. Then, we can write the two following equations.
x + y = -5
x*y = -4
We will substitute the value of y from the first equation into the second equation.
x*(-5 - x) = -4
x*(x + 5) = 4
x² + 5x - 4 = 0
Now, we will use the quadratic formula.
x = [-5 ± √(5² - 4(1)(-4))]/2(1)
x = [-5 ± √(25 + 16)]/2
x = [-5 ± √41]/2
x = [-5 ± 6.403]/2
The values of x are -5.7015 and 0.7015. The corresponding values of y are 0.7015 and -5.705.
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An ocicat eats $\frac 35$ of a pound of food daily. How many whole ocicats can a $19\frac 12$-pound bag of food feed for one week?
Number of ocicats that [tex]19\frac{1}{2}[/tex] food will last for one week is 4 .
In the question ,
it is given that
the amount of food that the ocicat eats in 1 day = 3/5 pound
So , the amount of food that the ocicat eats in 1 week = (3/5) × 7 = 21/5
we have to find the number of ocicat that can eat [tex]19\frac{1}{2}[/tex] pound of food feed .
So ,
the number of ocicat that can eat [tex]19\frac{1}{2}[/tex] pound of food feed = [tex]19\frac{1}{2}[/tex] ÷ 21/5
= (19*2+1)/2 ÷ 21/5
= 39/2 × 5/21
= (39 × 5)/(2 × 21)
= 195/42
= 65/14
= [tex]4\frac{9}{14}[/tex] ocicats
since the number of ocicats cannot be in fraction ,
so number of ocicats = 4
Therefore , Number of ocicats that [tex]19\frac{1}{2}[/tex] food will last for one week is 4 .
The given question is incomplete , the complete question is
An ocicat eats 3/5 of a pound of food daily. How many whole ocicats can a [tex]19\frac{1}{2}[/tex] -pound bag of food feed for one week?
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Please Answer!
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each graph with its description.
the function increases on the interval (-∞, 1)
and decreases on the interval (1, ∞)
the function has a maximum at (3,1)
the function has a minimum at (1,3)
the function has a minimum at (3,1)
The matching of the quadratic functions with their features is given by the image at the end of the answer.
What are the features of a quadratic function?The first feature of the function on the problem is when it is increasing, and the definition is that it is increasing when the graph of the function is moving to the right and up on the graph, that is, when x increases, y also increases.
It is decreasing when it is moving right and down. Hence, a quadratic function increases until it's vertex, so for item 1, we want a function that is concave down, as it is increasing and then decreasing, and does the turn at x = 1, which is the third function on the second row.
The maximum and minimum points are given at the turning points, as follows:
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Answer: Its correct
Step-by-step explanation:
Right on Edmentum. Absolute legend
Which answer is correct?
(A)4x + y = 6
−2x + y = −5
(B)x + y = 8
2x − 9y = 4
(C)x − 4y = −6
−2x − y = 5
(D) −x + y = 9
9x + 2y = 4
The graph shown has two straight lines and the correct equation is
(A) 4x + y = 6−2x + y = −5What is linear function?A linear function consists of functions where the variables has exponents of 1.
The graph of linear functions is a straight line graph and the relationship is expressed in the form.
y = mx + c
y = output variable
m = slope
x = input variable
c = y intercept
interpretation of the equations
4x + y = 6 ⇒ y = -4x + 6
m = -4
c = 6
from the graph only one the lines has the y intercept as 6, also the slope is negative. the line shown by at option (c) the intercept is 6/4 and the slope is positive
−2x + y = −5 ⇒ y = 2x - 5
m = 2x
c = -5
The c is not showing here but it is moving towards negative. the x intercept is showing and we can use it to confirm
y = 2x - 5
0 = 2x - 5
2x = 5
x = 2.5
this coincides with the point on the graph (2.5, 0)
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20 plants were measured and their heights were recorded in cm. Here are the heights: draw a frequency polygon to represent the data
(also, I just need b, I've done A)
the area of a circle is increasing at a constant rate of 178 square feet per second. at the instant when the radius of the circle is 44 feet, what is the rate of change of the radius? round your answer to three decimal places.
The rate of change of radius of the circle when the radius of the circle is 44 feet is 0.64 ft/s.
The area of the circle with radius R us given by,
A = πR²
It is given that the area is increasing at a constant rate of 178 square feet per second.
dA/dt = 178 ft²/s
Also, A = πR²
Differentiating A with respect to time,
dA/dt = 2πR.dR/dt
The rate of change of the radius is asked when the radius is 44 feet.
So, putting R = 44 ft.
dA/dt = 2π(44)dR/dt
178 = 2π(44)dR/dt
dR/dt = 0.64 ft/s
So, the rate of change of radius is 0.64 ft/s.
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Here are some numbers.
8
11
13
18
25
37
8,13,18is an arithmetic progression and the rule is to add 5.
Use three of the numbers to make a different arithmetic
progression.
Describe the rule.
The different arithmetic progression is [tex]11, 18, 25[/tex] and the rule is to add [tex]7[/tex].
What is an arithmetic progression?
A series of numbers known as an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms.
We have,
[tex]8, 11, 13, 18, 25, 37[/tex]
Given arithmetic progression is [tex]8, 13, 18[/tex] and the constant difference is [tex]5[/tex].
By using this phenomenon we can create new arithmetic progression like,
[tex]11, 18, 25[/tex]
Here the constant difference or rule is [tex]7[/tex].
Hence the new and different arithmetic progression is [tex]11, 18, 25[/tex].
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