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2 years ago

Solve for 2x2- 7x + 16 = 20 and find the sum of the solutions

Mathematics

1 answer:

beks73 [17]2 years ago

8 0

I actually got zero for this when I did this in phothomath

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Which explanation uses the number line to show 5 + (-5) =0

Ray Of Light [21]

Answer:

+5 is right and - 5 is left

Step-by-step explanation:

I. If 5 + (-5) = 0

then 5 - 5 = 0

If 5 is on the right side

then -5 is on the left side

3 0

3 years ago

A new bridge structure requires triangles that are in a ratio of 1:1. If AC = 5x − 5 and EC = 3x + 9, find the distance between

Montano1993 [528]

Answer:

C. 60 ft

Step-by-step explanation:

If triangles ABC and EDC are in a 1:1 relation, they are congruent, and

AC = EC

5x - 5 = 3x + 9

5x = 3x + 14

2x = 14

x = 7

AC = 5x + 5 = 5(7) - 5 = 35 - 5 = 30 ft

EC = 3x + 9 = 3(7) + 9 = 21 + 9 = 30 ft

Distance between top and bottom of bridge = AC + EC = 30 + 30 = 60 ft

5 0

3 years ago

Read 2 more answers

Which systems of equations intersect at point A in this graph?

abruzzese [7]

Answer:

The point of intersection of the system of equations is:

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

The correct system of equations intersect at point A in this graph will be:

$\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}$

Thus, the second option is correct.

Step-by-step explanation:

Given the point

A (-2, 1)

Let us check the system of equations to determine whether it intersect at point A in this graph.

Given the system of equations

$\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}$

Arrange equation variable for elimination

$\begin{bmatrix}y-4x=9\\ y+3x=-5\end{bmatrix}$

$y+3x=-5$

$-$

$\underline{y-4x=9}$

$7x=-14$

so the system of equations becomes

$\begin{bmatrix}y-4x=9\\ 7x=-14\end{bmatrix}$

Solve 7x = -14 for x

$7x=-14$

Divide both sides by 7

$\frac{7x}{7}=\frac{-14}{7}$

Simplify

$x = -2$

For y - 4x = 9 plug in x = 2

$y-4\left(-2\right)=9$

$y+4\cdot \:2=9$

$y+8=9$

Subtract 8 from both sides

$y+8-8=9-8$

Simplify

y = 1

Thus, the solution to the system of equations is:

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

From the attached graph, it is also clear that the system of equations intersects at point x = -2, and y = 1.

In other words, the point of intersection of the system of equations is:

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

Therefore, the correct system of equations intersect at point A in this graph will be:

$\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}$

Thus, the second option is correct.

3 0

3 years ago

Micaela bought for posters. A week later half of all her posters were lost during a move. There are now only 12 posters left. Ho

Nikolay [14]

Answer:24

Step-by-step explanation: If she bought x amount of posters and had 12 left after, you'd multiply 12 by 2 and get 24. Half of 24 is 12. So Micaela bought 24 posters.

5 0

3 years ago

Read 2 more answers

Solving systems of equations by graphing

Ipatiy [6.2K]

Answer:

Hi! The correct answer is x = -1 y = -1 and the ordered pair is (-1,-1)

Step-by-step explanation:

<em><u>~Solve the first variable in one of the equations, then substitute the result into the other equation~</u></em>

7 0

3 years ago