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vichka [17]
3 years ago
9

Write the equation in standard form for the hyperbola with vertices (–10,0) and (4,0), and a conjugate axis of length 12.

Mathematics
1 answer:
olga55 [171]3 years ago
4 0

Answer:

((x+3)^2)/49 - (y^2)/36 = 1

Step-by-step explanation:

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ONE HUNDRED POINTS
Over [174]

Answer:

See Below.

Step-by-step explanation:

We are given that ∠A = ∠D, and we want to prove that ΔACB ~ ΔDCE.

Statements:                                    Reasons:

1) \text{ $\angle A=\angle D$}                                    \text{Given}

2) \text{ }\angle BCA=\angle ECD                        \text{Vertical Angles Are Congruent}

3) \text{ } \Delta ACB \sim \Delta DCE                        \text{AA (Angle-Angle) Similarity}

5 0
3 years ago
Read 2 more answers
Which unit would you use to measure the height of a giraffe? mm cm m km
aliina [53]

Answer:

centimeters

Step-by-step explanation:

6 0
4 years ago
A manufacturer considers his production process to be out of control when defects exceed 3.2%. In a random sample of 136 items,
murzikaleks [220]

Answer:

dsynyerjtetuegrjghdgfs

6 0
3 years ago
Linda can bicycle 48 miles in the same time as it takes her to walk 12 miles. She can ride 9 mph faster than she can walk. How f
Marrrta [24]

Answer:

\frac{48}{r+9}=\frac{12}{r}

Step-by-step explanation:

Let r represent Linda's walking rate.                      

We have been given that Linda can ride 9 mph faster than she can walk, so Linda's bike riding rate would be t+9 miles per hour.

\text{Time}=\frac{\text{Distance}}{\text{Rate}}

We have been given that Linda can bicycle 48 miles in the same time as it takes her to walk 12 miles.

\text{Time while riding}=\frac{48}{r+9}

\text{Time taken while walking}=\frac{12}{r}

Since both times are equal, so we will get:

\frac{48}{r+9}=\frac{12}{r}

Therefore, the equation \frac{48}{r+9}=\frac{12}{r} can be used to solve the rates for given problem.

Cross multiply:

48r=12r+108

48r-12r=12r-12r+108

36r=108

\frac{36r}{36}=\frac{108}{36}

r=3

Therefore, Linda's walking at a rate of 3 miles per hour.

Linda's bike riding rate would be t+9\Rightarrow 3+9=12 miles per hour.

Therefore, Linda's riding the bike at a rate of 12 miles per hour.

7 0
3 years ago
Which two equations represent a nonlinear function?
irina [24]

Answer:  See below.

Step-by-step explanation:

The formatting is likely incorrect for these two options:

y=(x−1)2, and  

y = ( x − − 1 ) 2

I'll assume they were meant to be:

y=(x−1)^2, and  

y = ( x + 1 )^2

In this case they would be non-linear, since y depends on the value of x^{2}

Use a "^" sign to indicate raised to a power:  x^2 means x^{2}.  

y=(x−1)2 means y = 2x - 2

y=(x−1)^2 means y = (x-1)^{2}

8 0
2 years ago
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