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2 years ago

Through: (6, 2), perpendicular to y = -x-5 in slope intercept form

Mathematics

1 answer:

True [87]2 years ago

6 0

Answer:

y = x-4

Step-by-step explanation:

y = -x-5

Slope of line is -1.

Slope of perpendicular to line is 1.

Point-slope equation for line of slope 1 that passes through (6,2):

y-2 = 1(x-6)

Rearrange equation to slope-intercept form:

y = 1(x-6) + 2

y = x-4

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Is anyone able to figure this out, I can't do this

katrin [286]

Answer:

C. √2 - 1

Step-by-step explanation:

If we draw a square from the center of the large circle to the center of one of the small circles, we can see that the sides of the square are equal to the radius of the small circle (see attached diagram)

Let r = the radius of the small circle

Using Pythagoras' Theorem $a^2+b^2=c^2$

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

to find the diagonal of the square:

$\implies r^2 + r^2 = c^2$

$\implies 2r^2 = c^2$

$\implies c=\sqrt{2r^2}$

So the diagonal of the square = $\sqrt{2r^2}$

We are told that the radius of the large circle is 1:

⇒ Diagonal of square + r = 1

$\implies \sqrt{2r^2}+r=1$

$\implies \sqrt{2r^2}=1-r$

$\implies 2r^2=(1-r)^2$

$\implies 2r^2=1-2r+r^2$

$\implies r^2+2r-1=0$

Using the quadratic formula to calculate r:

$\implies r=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

$\implies r=\dfrac{-2\pm\sqrt{2^2-4(1)(-1)}}{2(1)}$

$\implies r=\dfrac{-2\pm\sqrt{8}}{2}$

$\implies r=-1\pm\sqrt{2}$

As distance is positive, $r=-1+\sqrt{2}=\sqrt{2}-1$ only

5 0

2 years ago

Read 2 more answers

Use the ordinary interest method to find the rate of interest that Make Over Picture Photo pays on a loan of $8,000 for 285 days

Doss [256]

Answer:

0.03%

Step-by-step explanation:

Simple interes = PRT/100

Given

Interest = $590.00

Principal P = $8000

Time T = 285 days

Rate = ?

Since I = PRT/100

R = 100 x I /PT

= 100 x $590.00 /$8000 x 285

Multiply through

= 59000/2280000

= 0.03%

8 0

3 years ago

HURRY! Which of these numbers are 11 units from 0 on the number line?

kow [346]

B and C

0+11= +11

0-11= -11

Hope this helps

5 0

3 years ago

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The graph below shows the hours students spent studying and their language arts test scores.

Alexandra [31]

Answer:

correct answer is 40

Step-by-step explanation:

hope it helps:D

5 0

3 years ago

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1 point) Let H be the set of all points in the second and fourth quadrants in the plane V That is, H- (e, y)y 0) Is H a subspace

Aneli [31]

Answer:

Step-by-step explanation:

What level of math is this?

6 0

3 years ago