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3 years ago

Y+2=−3(x−4) Complete the missing value in the solution to the equation. ( ,-2)

Mathematics

2 answers:

Makovka662 [10]3 years ago

8 0

The missing value is 4.

Soloha48 [4]3 years ago

4 0

$\bf y+2=-3(x-4)~\hspace{5em}(\stackrel{x}{\phantom{X}},\stackrel{y}{-2})~\hspace{5em} \stackrel{y=-2}{(-2)+2=-3(x-4)}
\\\\\\
0=-3x+12\implies 3x=12\implies \implies x=\cfrac{12}{3}\implies x=4
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
~\hfill (\stackrel{x}{4},\stackrel{y}{-2})~\hfill$

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In the figure to the right, if AC = 15 and BC = 12, what is the radius?

Andrew [12]

Answer:

The radius is 9.0 units

Step-by-step explanation:

we know that

In the right triangle of the figure ABC

Applying the Pythagorean Theorem

$AC^2=AB^2+BC^2$

substitute the given values

$15^2=AB^2+12^2$

solve for AB

$AB^2=15^2-12^2\\AB^2=81\\AB=9\ units$

Remember the the side AB of right triangle represent the radius of the circle

therefore

The radius is 9.0 units

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3 years ago

Mr. Wilson drives 450 miles in seven hours. At this rate, about how many miles does he drive in six hours? A) 101 B) 254 C) 340

Deffense [45]

I think D is the answer hope this helps

5 0

3 years ago

The width x of your iris decreases from 4 millimeters to 2 millimeters when you enter a dark room. How many times greater is the

inysia [295]

Answer:

The area of the Iris is 4 times greater.

Step-by-step explanation:

Firstly, we have to realize that we cannot solve this problem without knowing the radius of the iris. because from the information given, the radius of the iris could well be the size of the galaxy and contract from width of 4mm to 2mm and we wouldn't know!

The average radius of the iris is 6mm, so we take this value.

Now, initially the width of the iris is 4mm, that means the radius of the pupil is:

$6mm-4mm=2mm$

Therefore it's area $A$ is:

$A=\pi r^2=\pi (2)^2=4\pi$

When the iris contracts to 2mm, the radius of the pupil becomes:

$6mm-2mm=4mm$

Then it's area is $A$ :

$A=\pi r^2=\pi (4)^2=16\pi$

To find how many times greater this final area is than the initial area, we just divide it by the initial area:

$\frac{16\pi }{4\pi } =4$

This is 4 times greater than the initial area.

3 0

3 years ago

What two partial products would you add to find 513 x 46

Afina-wow [57]

First, let me do the Mathematical part of that, and then I shall explain the theory behind it.

Mathematical part:
We are going to multiply 513 with 46. So the two partial products that we are going to choose are 40 and 6.

Multiply 513 with 6 first.

  513
x46
--------------------------
  18 (as 6*3 = 18)
  60 (as 6*10 = 60; In 513, the digit at tenths place is 1, so 1*10=10)
  3000 (as 6*500 = 3000; In 513, 5 is at hundredth place, so 5*100=500)
  120 (as 40*3 = 120; since 4 is at the tenth place, so 4*10=40)
  400 (as 40*10 = 400)
20000 (as 40*500 = 20000)
--------------------------
23598 (Add all of them)

Theory:
As you can see above that we have chosen the two partial products individually which are 6 and 40. Since 4 in 46 is in tenth place, we have to consider it 40 (since 4*10 = 40). One by one, we first multiply 6 with 513. Then we move to the tenth place, and multiply 513 with 40. At the end, we have added all the results we found after multiplication.

Check: If we check the multiplication result by using the calculator, we would get the same result (23598).

Another Method (instant):
513 * (40+6) = (513*40) + (513*6) = 23598.

3 0

3 years ago

Read 2 more answers

(-2,1) and (4,9), (-3,8) and (5,2)<br> Are the lines parallel, perpendicular, or neither?

marissa [1.9K]

Answer:

perpendicular

Step-by-step explanation:

if you find the slope of the points, they are completely opposite 4/3 and -3/4

6 0

3 years ago