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torisob [31]
2 years ago
10

An engineer is drawing plans for a new water tower. The tower is 84ft tall and has a diameter of 28 ft. Find the height of the m

odel if the scale ratio is:
(Pls answer quickly!!)

Mathematics
1 answer:
Novay_Z [31]2 years ago
3 0

Answer:

24

Step-by-step explanation:

big brian

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Write an expression equivalent to<br> x^2+7x+6x
Readme [11.4K]

Answer:

x(x+13), or x^2+13x

Step-by-step explanation:

You factor one x out, or you can just add the x values.

4 0
2 years ago
9. Write the equation of the line that is parallel to y = 2r + 4 and passes through the point (-4, -1).
Anna [14]

y=2r+4

-1=2(-4)+c

-1= -8+c

c=7

y=2r+7

hope this helps!

8 0
2 years ago
Tom determines that the system of equations below has two solutions, one of which is located at the vertex of the parabola.
xxTIMURxx [149]

Answer:

Option A: b must equal 7 and a second solution to the system must be located at the point (2, 5)

Step-by-step explanation:

<u><em>The complete question is</em></u>

Tom determines that the system of equations below has two solutions, one of which is located at the vertex of the parabola.

Equation 1: (x – 3)2 = y – 4

Equation 2: y = -x + b

In order for Tom’s thinking to be correct, which qualifications must be met?

A: b must equal 7 and a second solution to the system must be located at the point (2, 5).

B: b must equal 1 and a second solution to the system must be located at the point (4, 5).

C: b must equal 7 and a second solution to the system must be located at the point (1, 8).

D: b must equal 1 and a second solution to the system must be located at the point (3, 4).

step 1

Find the vertex of the quadratic equation

The general equation of a vertical parabola in vertex form is

y=a(x-h)^2+k

where

(h,k) is the vertex

we have

(x-3)^{2}=y-4

so

y=(x-3)^{2}+4

The vertex is the point (3,4)

step 2

Find out the value of b in the linear equation

we know that

If the vertex is a solution of the system of equations, then the vertex must satisfy both equations

substitute the value of x and the value of y of the vertex in the linear equation

y=-x+b

For x=3, y=4

4=-3+b\\b=7

so

y=-x+7

step 3

Find out the second solution of the system of equations

we have

y=(x-3)^{2}+4 -----> equation A

y=-x+7 ----> equation B

solve the system of equations by graphing

Remember that the solutions are the intersection points both graphs

The second solution of the system of equations is (2,5)

see the attached figure

therefore

b must equal 7 and a second solution to the system must be located at the point (2, 5)

5 0
3 years ago
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