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zysi [14]
3 years ago
15

1 1. Find the x-intercepts for y= 2(x - 7)(x+2)?

Mathematics
1 answer:
givi [52]3 years ago
5 0

Answer:

b.) (7,0) and (-2,0)

Step-by-step explanation:

To find the x-intercept, substitute 0 for y and solve for x:

0=2(x-7)

Divide both sides by 2:

\frac{0}{2}=\frac{2(x-7)}{2}

0=x-7

Add 7 to both sides to isolate x:

0+7=x-7+7\\7=x

The x-intercept for y=2(x-7) is 7 at point (7,0).

0=(x+2)

Remove parentheses:

0=x+2

Subtract 2 from both sides:

0-2=x+2-2

-2=x\\x=-2

The x-intercept for y=(x+2) is -2 at point (-2,0).

Finito.

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Find m∠ABD and m∠CBD given m∠ABC = 111∘.
sineoko [7]

Answer:

m∠ABD = 88º

m∠CBD = 23º

Step-by-step explanation:

(-10x + 58) + (6x + 41) = 111

Combine like terms

-4x + 99 = 111

Subtract 99 from both sides

-4x = 12

Divide both sides by -4

x = -3

------------------------

m∠ABD = -10x + 58

m∠ABD = -10(-3) + 58

m∠ABD =  = 30 + 58

m∠ABD = 88º

m∠CBD = 6x + 41

m∠CBD = 6(-3) + 41

m∠CBD = -18 + 41

m∠CBD = 23º

7 0
2 years ago
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Please solve this simple equation: a+3=−3​
Reptile [31]

Step-by-step explanation:

a+3=−3

a=-6

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7 0
2 years ago
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Drina wrote the system of linear equations below.
zalisa [80]

Answer:

Option c, A square matrix

Step-by-step explanation:

Given system of linear equations are

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

7x+3y=26\hfill(2)

-x-11y=46\hfill(3)

Now to find the type of matrix can be formed by using this system

of equations

From the given system of linear equations we can form a matrix

Let A be a matrix

A matrix can be written by

A=co-efficient of x of 1st linear equation    co-efficient of y of 1st linear equation   constant of 1st terms linear equation

co-efficient of x of 2st linear equation   co-efficient of y of 2st linear equation  constant of 2st terms linear equation

co-efficient of x of 3st linear equation   co-efficient of y of 3st linear equation    constant of 3st terms linear equation           3\times 3

which is a 3\times 3 matrix.

Therefore A can be written as

A= \left[\begin{array}{lll}3&-2&-2\\7&3&26\\-1&-11&46\end{array}\right] 3\times 3

Matrix "A" is a 3\times3 matrix so that it has 3 rows and 3 columns

A square matrix has equal rows and equal columns

Since matrix "A" has equal rows and columns Therefore it must be a square matrix

Therefore the given system of linear equation forms a square matrix

7 0
2 years ago
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A circle of red roses is planted in Lowell's central park. The circle has a radius of 1 meter.
Damm [24]

Answer:

The circle's circumference is 6.28 m.

Step-by-step explanation:

We have,

The circle has a radius of 1 meter.

It is required to find the circumference of the circle. The formula of the circumference of circle is given by :

C=2\pi r

r is radius

C=2\times 3.14\times 1\\\\C=6.28\ m

So, the circle's circumference is 6.28 m.

4 0
3 years ago
Solve each of the following literal equations for c: (c/b) - x = 2d and ac + bd = x
maks197457 [2]
(c/b) - x = 2d
(c/b) = 2d + x
c = b(2d + x)
c = 2db + bx

ac + bd = x
ac = x - bd
c = (x - bd) / a OR c = (x/a) - (bd/a)
8 0
3 years ago
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