2 years ago

If BC = 2x, CD = 7x, and BD = 9, what is CD?

Mathematics

1 answer:

Paha777 [63]2 years ago

8 0

Answer: 18

Step-by-step explanation:

2(9)=18

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Solve the system of equations: y=2x y=x²-8

igomit [66]

Set equal to each other
x^2 - 8 = 2x
x^2 - 2x - 8 = 0

Factor
(x - 4)(x + 2) = 0
x = 4 or x = -2

Plug in 4
y = 2x or y = x^2 - 8
y = 2(4) or y = 4^2 - 8
y = 8

Plug in -2
y = 2x or y = x^2 - 8
y = 2(-2) or y = (-2)^2 - 8
y = -4

There are two solutions
(4, 8) and (-2, -4)

6 0

1 year ago

Find the measure of angle ABC. A. 124 B. 97 C. 56 D. 51

Airida [17]

Answer: Last Option

Step-by-step explanation:

By definition the sum of the internal angles of a triangle must always be equal to 180 °.

This means that:

$32 + (2x-15) + (x-5)=180$

Now we solve the equation for the variable x

$32 + 2x-15 + x-5=180$

$2x+x +32-15-5=180$

$3x +32-20=180$

$3x +12=180$

We subtract 12 in both barks of the equation

$3x +12-12=180-12$

$3x=168$

Divide by 3 on both sides of the equation

$\frac{3}{3}x=\frac{168}{3}$

$x=\frac{168}{3}$

$x=56$

Finally the measure of angle ABC is: (56-5)° = 51°

6 0

2 years ago

Read 2 more answers

Is 2(x - 6) = -35 equivalent to 2x = -23

rusak2 [61]

Yes, if you just distribute 2(x-6). Then you would have 2x-12 = -35 then add 12 to the -35 and your answer would be 2x = -23 and leads to them being equivalent.

7 0

2 years ago

H/6-1=-3. What is h?

Marrrta [24]

$\dfrac{h}{6}-1=-3\\\\
\dfrac{h}{6}=-2\\\\
h=-12$

8 0

3 years ago

Order each set of values from least to greatest

love history [14]

0.4 least 38% is next then 5/8 is the greatest

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3 years ago