Find the height of the object next to the triangle using the similarity of the triangle.​

Answer:

10 students/van

48 students/bus

Step-by-step explanation:

(a) 13v+5b = 370

(b) 12v+10b = 600

(a) - (b)

v -5b = -230

v = 5b-230

12(5b-230) + 10b = 600

60b+10b -2760=600

70b=3360

7b=336

b=48

v = 5(48) - 230 = 10

v = 10

Let's check

12(10) +10(48) = 600

Answer:

The answer is

[tex] \huge y = 2x - 5[/tex]

Step-by-step explanation:

To find an equation of a line when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

From the question we have

[tex]y + 3 = 2(x - 1) \\ y + 3 = 2x - 2 \\ y = 2x - 2 - 3[/tex]

We have the final answer as

[tex]y = 2x - 5[/tex]

Hope this helps you

Answer:

On the graph h, k, and a are not labeled so do not find a way to find them

Step-by-step explanation:

give me brainliest

Answer: Php 628

Step-by-step explanation:

Nina got two bags but paid for the price of one according to the sale.

The cost of each bag will therefore be the total price divided by 2 which is;

= 1,256/2

= Php 628

Answer:

B. Substitution Property

Step-by-step explanation:

Transitive property would be TX=GH and GH=PS then TX+PS

The substitution property of equality is one of many equality properties used to simplify expressions and solve equations.

If PQ + RS = PS and RS = XY, then PQ + XY = PS is an expression using substitution property.

The substitution property states that 'If a variable x is equal to another variable y, then x can be substituted in place of y in any expression and y can be substituted in place of x in any expression.

We have,

If PQ + RS = PS and RS = XY, then PQ + XY = PS.

We are substituting RS with XY on PQ + RS = PS.

We get,

PQ + XY = PS

This expression has been solved using the substitution property.

Thus, If PQ + RS = PS and RS = XY, then PQ + XY = PS is an expression using substitution property.

Learn more about substitution property here:

https://brainly.com/question/12053340

#SPJ2

An equation for each situation, in terms of t, is y = 850e^35t and

y = 700e^70t

The required equation will be in the form y = Ae^kt

where:

If High School A currently has 850 students and is projected to grow by 35 students each year, hence;

Substituting into the formula, we will have:

y = 850e^35t

If High School B currently has 700 students and is projected to grow by 60 students each year, hence;

Substituting into the formula, we will have:

y = 700e^70t

An equation for each situation, in terms of t, is y = 850e^35t and

y = 700e^70t

Learn more on exponential function here: https://brainly.com/question/12940982

Answer:4

Step-by-step explanation:

discriminant = b^2-4ac

a = 3, b = -2, c = 0

(-2)^2-4(3)(0) = 4 - 0 = 4

4 is final answer

The pair of linear equations graphed using a graphing software. The graphs are attached below :

Graph 1 :

x = 2x + 2 - - - - (1)

2y = 4x + 4 ;

Divide both sides by 2

y = 2x + 2 - - - - - (2)

Hence, the graph would be follow the same trends as the functions are the same.

Graph 2 :

y = x - 5 - - - - - - (1)

y = - x + 3 - - - - - (2)

The pair of lines intersect each other as seen on the graph.

Graph 3 :

y = 2x - 3 - - - - (1)

y = 2x + 4 - - - - (2)

Both Lines are parallel to one another.

The attached graphs are in the attachment below.

Learn more :https://brainly.com/question/15748955

Sure whats the problem?

The value of the expression 5³ is 125.

We have,

The concept used in calculating the value of 5 raised to the power of 3 is exponentiation.

In mathematics, exponentiation is an operation that involves raising a base number to a certain power.

The base number (in this case, 5) is multiplied by itself repeatedly, where the number of times it is multiplied is determined by the exponent (in this case, 3).

When we raise 5 to the power of 3, we can interpret it as multiplying 5 by itself three times:

5³ = 5 x 5 x 5  = 125

So, the concept of exponentiation allows us to quickly calculate the result of multiplying a number by itself multiple times, where the exponent indicates the number of repetitions.

Thus,

The value of the expression 5³ is 125.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

The complete question:

What is the value of 5 raised to the power of 3?

Answer:

4/4=1

Step-by-step explanation:

Answer:

Step-by-step explanation:

The y-intercept is the point where the line crosses the y axis (horizontal line in graphs). We can clearly see that the y-intercept is -1, since the line intersects the y axis at y = -1.

Ok, now for the slope, we will use this equation, where m is the slope we wish to find.

m = rise/run where rise is the change in y and run is the change in x.

To determine the rise and run, we need two coordinate pairs.

9, -4 and 0, -1 will do

Note: The coordinate pairs are x, y, but slope is y/x, it is important that we do not become confused.

Now, we will subtract one y from the other and then do the same for the x's. It is important that we use the same order for the x's as we do for the y's, in order for the answer to be valid.

Y -4 - -1 = -3

X 9 - 0 = 9

Slope is -3/9 or -1/3

Answer:

7) B, C

8) D

Step-by-Step-Explanation:

The first thing you need to solve for is the the parenthesis

the second one simplifies to x ≤ -7

Answer:

8.09

9.1 is obviously greater than 8.9, when you compare the numbers.

And the other numbers are all 8 in the ones place (to the left of the decimal). So, you have to look at the number in the tenths place (to the right of the decimal). 8.09 has a "0" in the tenths place, & 8.9 has a "9" in the tenths place, making 8.09 less than 8.9.

If you compared the 2 remaining numbers 8.91 & 8.99, they would both be greater, because since they all have the same number in the tenths place, you have to move on to comparing the next number, which would be in the hundreths place (2 digits to the right of the decimal).

Answer:

8.5

Step-by-step explanation:

Answer: 7x4y5

Step-by-step explanation:

28x 2y 2 -21x 2y 3

add like terms

28x and -21x

2y and 2y

2 and 3

Answer:

11/-8

Step-by-step explanation:

-2-6=-8

-4-7=11

then flip

Step-by-step explanation:

The secant is the reciprocal of the cosine. It is the ratio of the hypotenuse to the side adjacent to a given angle in a right triangle.

Note: Consider we need to find the vertices of the image.

Given:

Square KLMN with vertices K(0,2), L(1,8), M(7,7), and N(6, 1).

It rotates 270 counterclockwise about the origin.

To find:

The vertices of the image after rotation.

Solution:

If a figure rotates 270 counterclockwise about the origin, then the rule of rotation is defined as

[tex](x,y)\to (y,-x)[/tex]

Using this rule, we get

[tex]K(0,2)\to K'(2,0)[/tex]

[tex]L(1,8)\to L'(8,-1)[/tex]

[tex]M(7,7)\to M'(7,-7)[/tex]

[tex]N(6,1)\to N'(1,-6)[/tex]

Therefore, the vertices of the image are K'(2,0), L'(8,-1), M'(7,-7) and N'(1,-6).

Answer:

11,-11

Step-by-step explanation:

This is correct.

hope this helps ;D

Answer:

All real square roots of 121 is +11 and -11.

When you square root something, you take the positive and negative of the number, so the square root of 121 would be 11 and -11.

When you do 11 times 11, you get 121 and when you do -11 times -11, you get 121 as well, this is why we do the negative as well.

#teamtrees #WAP (Water And Plant)

Answer:

A

Step-by-step explanation:

Because if you look up y=2x+2 that graph rises and if you look up y=-2x+2 it decreases

Answer:

here you go. hope this helps!

Answer:

2

Step-by-step explanation:

insert 0 for x

Answer/Step-by-step explanation:

Unit cost of apple = $2 let each

Unit cost of orange = $1 per each

a. Cost of 6 apples = 6 × $2 = $12

Cost of 3 oranges = 3 × $1 = $3

b. Cost of 4 apples = 4 × $2 = $8

Cost of 4 oranges = 4 × $1 = $4

c. Cost of 5 apples = 5 × $2 = $10

Cost of 4 oranges = 4 × $1 = $4

d. Cost of 8 apples = 8 × $2 = $16

Cost of 2 oranges = 2 × $1 = $2

Answer:D

Step-by-step explanation:

The graph where the function is decreasing is represented by,  the blue line, red line and the green line.

"If the value of the function f(x) is decreasing on increasing the value of x, then the function is called as decreasing function."

For given situation,

we have been given a piecewise function and its graph.

From the graph of a function,

we can observe that the function f(x) is decreasing for x < -3 , -3 ≤ x ≤ 0, and x > 0

This is represented by, the blue line, red line and the green line

Therefore, the correct options are 1, 2, 4.

Learn more about decreasing function here:

https://brainly.com/question/13391696

#SPJ2

Answer:

13

Step-by-step explanation:

Given:

BC = 2x + 7

CD = x + 10

Coordinate of point B = 0

Required:

Coordinate of point C

SOLUTION:

Since C is the midpoint of BD, therefore:

BC = CD

2x + 7 = x + 10 (substitution)

Collect like terms

2x - x = -7 + 10

x = 3

BC = 2x + 7

Plug in the value of x

BC = 2(3) + 7 = 6 + 7

BC = 13

Thus, the coordinate of point C would be a distance of 13 units away from the coordinate of point B.

Since the coordinate of B is 0, 13 units away from 0, would be 13.

Therefore, the coordinate of point C = 13

The coordinate of point C if If C is the midpoint of BD will be (0, 13)

From the given diagram, if C is the midpoint of BD, hence;

BC + CD + BD

Given the following parameters

BC = 2x + 7

CD = x + 10

Since C is the midpoint of BD, hence BC = CD

2x + 7 = x + 10

2x-x = 10 - 7

x = 3

Get the measure of BC:

BC = 2x + 7

BC = 2(3) + 7

BC = 13 = CD

Hence the coordinate of point C will be (0, 13)

learn more here: https://brainly.com/question/3510899

Answer:

Nope! Thats as simplified as it gets!

Answer:seems like it cant

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

I changed all of the denominators to 12. Added it all up and got 10. Multiplied it by 4 and got 40. There is 8 remaining, I hope this helps.

Answer:

[tex]3\sqrt{3} + 72[/tex]

Step-by-step explanation:

I attached an image to aid the understanding of the question.

Looking at the image, we see that the 8 shaded parts are congruent, as affirmed in the question as well. And we are told that T = 3, this implies that the area of the square with T as it's side is 9ft². Since all the 8 squares are congruenrt, it means each square has its area to be 9. Therefore, the total area of the 8 shaded squares will be:

[tex]9 \times 8 = 72ft^{2}[/tex]

It remains the area of the shaded square with side S.

From the question, we have the following ratio:

[tex]\frac{9}{S} = \frac{S}{T}[\tex]

But

[tex]\frac{9}{S} = \frac{S}{3}[\tex]

Multiplying through by 3S we have

27 = S² and this gives:

[tex]S = \sqrt{27} = 3\sqrt{3}[/tex]

I did not add ± because length is always positive, so the case of negative is eliminated.

Now the areas of S is [tex]3\sqrt{3}[/tex]

Therefore, the total area of the shaded squares is

[tex]3\sqrt{3} + 72[/tex]

Answer:

17

Step-by-step explanation:

We are given that [tex]$\frac{9}{\text{S}}=\frac{\text{S}}{\text{T}}=3.$\[\frac{9}{\text{S}}=3\][/tex]gives us S=3, so[tex]\[\frac{\text{S}}{\text{T}}=3\][/tex]gives us T=1. There are 8 shaded squares with side length [tex]$\text{T}$[/tex] and there is 1 shaded square with side length [tex]$\text{S},$[/tex] so the total shaded area is [tex]$8\cdot(1\cdot1)+1\cdot(3\cdot3)=8+9=\boxed{17}.$[/tex]