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2 years ago

Which statement is true about this equation?

Mathematics

1 answer:

Karolina [17]2 years ago

5 0

Answer:

infinite solutions

Step-by-step explanation:

-9(x+3) +12 = -3(2x+5)-3x

Distribute

-9x-27 +12 = -6x-15-3x

Combine like terms

-9x -15 = -9x-15

Add 9x to each side

-9x-15+9x = -9x-15+9x

-15 = -15

This is a true statement so it is true for all x

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What is the length of the side labeled x?

Scorpion4ik [409]

Answer:

AB = 42.15 units

Step-by-step explanation:

In triangle ABD,

By applying Cosine rule in this triangle,

cos(30)°= $\frac{\text{Adjacent side}}{\text{Hypotenuse}}$

$\frac{\sqrt{3} }{2}$ = $\frac{AD}{AB}$

$\frac{\sqrt{3}}{2}=\frac{AD}{47}$

AD = $\frac{47\sqrt{3}}{2}$

By applying tangent rule in ΔACD,

tan(44)° = $\frac{\text{Opposite side}}{\text{Adjacent side}}$

tan(44)° = $\frac{AD}{x}$

0.9657 = $\frac{\frac{47\sqrt{3}}{2}}{x}$

0.9657 = $\frac{47\sqrt{3}}{2x}$

x = $\frac{47\sqrt{3}}{2(0.9657)}$

x = 42.15

≈ 42.2 units

4 0

2 years ago

Calculate the Rate of change

mylen [45]

Answer:

I think it's 0.04

Step-by-step explanation:

Each 10 years the pupil gets smaller by 0.4 millimeters

If you divide 0.4 by 10 you get 0.04 which should be millimeters per year

again dont take my word for it im not a goddess lol

5 0

3 years ago

Solve x + 9 = 18 - 2x

bezimeni [28]

Add 2x to both sides,
3x+9=18
Subtract 9 from both sides. 3x=9
Divide both sides by 3.
x=3

6 0

2 years ago

The diagonals of rhombus team intersect at p(2,1). if the equation of the line that contains diagonal (ta) is y = −x + 3, what i

notka56 [123]

The perpendicular line through (2, 1) is
.. y = (x -2)+1
or
.. y = x -1

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3 years ago

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