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2 years ago

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Mathematics

1 answer:

pochemuha2 years ago

6 0

Answer:

Step-by-step explanation:

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Zinaida [17]

Answer:

First slope=0

second slope=0

Step-by-step explanation:

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2 years ago

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The workers in a senate office said that they received about 700 phone calls from voters last week. Which could be the number of

Nataly [62]

Answer:

see below

Step-by-step explanation:

Any number between 650 and 749, 650 and 749 are included as well

if number is 50 and above it goes up

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3 years ago

PLEASE HELP! I’M SO CONFUSED!!

romanna [79]

Answer:

The answer is 7.

Step-by-step explanation:

4 divided by 7 is 0.571428 these just keep repeating over and over again so the closest dividable number of 6 (6 is how many digits there are before it repeats) is 1998 so the 2nd digit in .571428 is 7 hope this helps.

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3 years ago

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:

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

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

7 0

2 years ago

Can someone help me with this guys? Thank you so much! I mark as brainliest

Vitek1552 [10]

Answer:

y=45

x=9

z= 9 root 2

Step-by-step explanation:

This is a right isosceles triangle, so

y=45

x=9

z= 9 root 2

9²+9²=z²

81+81=z²

162=z²

√162=z

z=9√2

5 0

2 years ago