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2 years ago

Write the equation of the line that passes through the point (5, 6) and a slope of -2

Mathematics

1 answer:

mina [271]2 years ago

3 0

Answer:

y = -2x + 16

Step-by-step explanation:

So first you plug in the values you know into the slop int. form, equation, in which it is y = mx +b. When you plug in the slope value then you will get the equation of y = -2x +b, in which then you have to solve for the b value.

In order to solve for the b value, you then plug in the x and y values of the coordinate that is given so what you would do is this: 6 = -2(5) +b

6 = -10 +b

16 = b

So then you find out b is 16 in which you just plug back into the equation. So finally you write the equation, y = -2x+16.

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What is the unit value the 3 in 432 ?

lara [203]

Answer:
It represent the tens of the number, therefore, it's unit value is 30

Explanation:
The place value chart is added in the attached image.

Checking this chart, we would find that:
first digit from the right is the units of the number
second digit from the right is the tens of the number
third digit from the right is the hundreds of the number

Comparing this with the nuber given, we would find that the 3 is in the tens position. Therefore, it unit value is 30.

Another way to answer this is by breaking the number given as follows:
432 = 400 + 30 + 2
We can note that the unit value of the 3 is 30

Hope this helps :)

8 0

2 years ago

What is the distance between the y-intercepts of the lines? Adding a picture please help

DerKrebs [107]

The equation of a line is:

y = mx + c

The m is the gradient of the line, and the c is the y-intercept of the line

That means that the y-intercept of [y = -4x + 3] is 3

and the y-intercept of [y = -4x + 4] is 4

So the distance between the two y-intercepts is:

4 - 3 = 1

6 0

2 years ago

7- a. What is the radius of the circle with center (3,10) that passes through (12,12)?

loris [4]

Answer: a. Radius of circle = $\sqrt{85}$

b. The equation of this circle : $(x-3)^2+(y-10)^2=85$

Step-by-step explanation:

Given : Center of the circle = (3,10)

Circle is passing through (12,12).

a. To find the radius we apply distance formula (∵ Radius is the distance from center to any point ion the circle.)

Radius of circle = $\sqrt{(12-3)^2+(12-10)^2}$

Radius of circle = $\sqrt{(9)^2+(2)^2}=\sqrt{81+4}=\sqrt{85}$

i.e. Radius of circle = $\sqrt{85}$

b. Equation of a circle = $(x-h)^2+(y-k)^2=r^2$ , where (h,k)=Center and r=radius of the circle.

Put the values of (h,k)= (3,10) and r= $\sqrt{85}$ , we get

$(x-3)^2+(y-10)^2=(\sqrt{85})^2$

$(x-3)^2+(y-10)^2=85$

∴ The equation of this circle : $(x-3)^2+(y-10)^2=85$

6 0

2 years ago

How can you decompose the composite figure to determine its area?

Anna007 [38]

For this case the first thing you should do is observe that the diameter of the four semicircles is the same.

Therefore, we can decompose the figure as follows:

1) We draw the diameters of the four semicircles to form a square.

2) We divide the figure into a square and four semicircles

3) The total area is the sum of the area of the square, plus the area of the 4 semicircles.

Answer:

c)as a square and four semicircles

5 0

2 years ago

Read 2 more answers

If a square block is 17 centimeters on one side.what is the perimeter of the block?

emmasim [6.3K]

If a shape is a square, this mean that each side has the same length. This means that each side of the square has a length of 17cm. Perimeter is the length of the outer boundary of a shape or the summation (addition) of all the sides. This means that the perimeter of this square is 17+17+17+17 or 17×4 which is equal to 68cm.
I hope this helps!

6 0

3 years ago

Read 2 more answers