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3 years ago

Use benchmarks to estimate the sum, difference, or product.

Mathematics

1 answer:

sukhopar [10]3 years ago

7 0

My opinion is d/1 okay and i did not understand

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Solve the equation √x+9 - 9 = -4 show each step of your solution process

Serjik [45]

Answer:

Step-by-step explanation:

Start by adding 9 to both sides, obtaining: √(x + 9) = 5.

Square both sides, obtaining: x + 9 = 25.

Subtract 9 from both sides: x = 16

Note that √(16+9) - 9 = -4, as required.

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3 years ago

Helppppppppppp?????????????

Nuetrik [128]

Answer: number one

Step-by-step explanation:

the x and y axis never completly cross

8 0

3 years ago

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Write the equation for the hyperbola with foci (–12, 6), (6, 6) and vertices (–10, 6), (4, 6).

fomenos

Answer:

$\frac{(x--3)^2}{49} -\frac{(y-6)^2}{32}=1$

Step-by-step explanation:

The standard equation of a horizontal hyperbola with center (h,k) is

$\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1$

The given hyperbola has vertices at (–10, 6) and (4, 6).

The length of its major axis is $2a=|4--10|$ .

$\implies 2a=|14|$

$\implies 2a=14$

$\implies a=7$

The center is the midpoint of the vertices (–10, 6) and (4, 6).

The center is $(\frac{-10+4}{2},\frac{6+6}{2}=(-3,6)$

We need to use the relation $a^2+b^2=c^2$ to find $b^2$ .

The c-value is the distance from the center (-3,6) to one of the foci (6,6)

$c=|6--3|=9$

$\implies 7^2+b^2=9^2$

$\implies b^2=9^2-7^2$

$\implies b^2=81-49$

$\implies b^2=32$

We substitute these values into the standard equation of the hyperbola to obtain:

$\frac{(x--3)^2}{7^2} - \frac{(y-6)^2}{32}=1$

$\frac{(x+3)^2}{49} -\frac{(y-6)^2}{32}=1$

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3 years ago

Jamal ran 8 kilometers, sprinted 500 meters, and climbed bleachers for a distance of 1.5 kilometers during track practice. How m

xeze [42]

1 kilometer=1000 meters so the 8 kilometers he ran would be 8000 meters then theres the 500 he sprinted. he climbed bleachers for 1.5 kilometers which would equal 1500 meters so 8000+500+1500=10,000. He traveled 10,000 kilometers.

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4 years ago

Read 2 more answers

PLEASE ANSWER ASAP !!!!

klemol [59]

At h=1 y=-2 so -2 hope it helps!

3 0

3 years ago