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3 years ago

Help me please for a test

Mathematics

1 answer:

sveta [45]3 years ago

4 0

Answer: y = 24

Step-by-step explanation:

you need the pythagorean theorem(a^2 + b^2 = c^2)

so we have the hypotenuse so we plug in what we knowwhich is:

10^2 + b^2 = 26^2 -> 100 + b^2 = 676

then solve for b^2

b^2 = 576 -> $\sqrt{576}\\$ = 24

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Select the correct answer from each drop-down menu.

Makovka662 [10]

The correct options regarding the circle with endpoints of the longest chord at (4, 5.5) and (4, 10.5) are:

The center is (4,8).

The radius is of 2.5 units.

$(x - 4)^2 + (y - 8)^2 = 6.25$

<h3>What is the equation of a circle?</h3>

The equation of a circle of center $(x_0, y_0)$ and radius r is given by:

$(x - x_0)^2 + (y - y_0)^2 = r^2$

The center is the <u>midpoint of the chords</u>, hence:

$x_0 = \frac{4 + 4}{2} = 4$ .

$y_0 = \frac{5.5 + 10.5}{2} = 8$ .

The radius is half the distance between the chords, hence:

$r = 0.5\sqrt{(4-4)^2 + (10.5 - 5.5)^2} = 0.5 = 2.5$ .

Hence the equation is:

$(x - x_0)^2 + (y - y_0)^2 = r^2$

$(x - 4)^2 + (y - 8)^2 = 2.5^2$

$(x - 4)^2 + (y - 8)^2 = 6.25$

More can be learned about the equation of a circle at brainly.com/question/24307696

#SPJ1

7 0

2 years ago

Write an equation for the line parallel to the line −4x−8=0 through the point (0,−9)

siniylev [52]

Answer:

4y= -x - 28

Step-by-step explanation:

the products of the gradient of parallel lines is 1

m1 x m2=1.......(1)

8-4x=0

re-arranging we have

0=-4x +8

comparing with y=mx +c we have

m1=-4

put the value of m1 in eqn 1

-4 xm2 =1

m2 =-1\2

from the relation.....

m=y-y1\x-x1

put the value of m1 above

-1\2=y-(-9)\x-0

cross multiply

-1(x-8)=4(y+9)

-x +8=4y+36

re-arranging we have

4y=-x-36+8

4y=-x-28//

pls do ensure u tag me as brainliest

3 0

3 years ago

3x -1 is subtracted from 4 x

Morgarella [4.7K]

Answer:

x+1

Step-by-step explanation:

5 0

3 years ago

Please help me if you can, thank you so much

galben [10]

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The slope (number with x variable) is negative because the line points down.

The y intercept is currently at 1.. if shifted up 2 units it would be at 3

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3 years ago

Find m1<br>please helpp

Katyanochek1 [597]

Answer:88 degrees

Step-by-step explanation:

6 0

4 years ago

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