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ser-zykov [4K]
3 years ago
7

Express each equation in slope-intercept form. -2x+4y=68, 13x+4y=284

Mathematics
1 answer:
lara31 [8.8K]3 years ago
8 0
To get the answer we have to tranform into y=ax+b form
-2x+4y=68          /+2x
4y=2x+68          /:4
y=\frac{1}{2} x+17  - its the result

13x+4y=284           /-13x
4y=-13x+284        /:4
y=- \frac{13}{4}+ 71
y=-3 \frac{1}{4}x+71 - its the result
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Find the area of a circle if its circumference is 10 pi
AleksandrR [38]

Answer:

25π

Step-by-step explanation:

pi's symbol is π, which will be used sometimes to make it easier later

The circumference is equal to diameter multiplied by pi. (Diameter is the length across the circle, radius the center of the circle to an edge point aka. half the diameter, and circumference is the edge length aka. perimeter of the circle.)

We can then remove the pi off the 10, as the diameter multiplied by pi is the circumference, so the diameter is 10.

Half of 10 is 5, the radius.

The formula for area of a circle is radius squared times pi, remember easily by π r ^2

We can plug in the radius into the formula to get

π 5 ^2

And finish it by solving the square root to get

π 25

25π

8 0
3 years ago
(2x+5y-z)+(-6x-4y+7z)
11111nata11111 [884]

Answer:

-4x + y + 6z

Step-by-step explanation:

2x + 5y - z + (-6x - 4y + 7z) < distribute positive 1 to (-6x - 4y + 7z)

2x + 5y - z - 6x - 4y + 7z < combine like terms to get the answer

2x - 6x = -4x

5y - 4y = y

-z + 7z = 6z

our new expression is:

-4x + y + 6z we cannot simplify this any further, so this is our answer

8 0
3 years ago
Please help, I will mark!!
Alik [6]

Answer:

d=28.28

Step-by-step explanation:

To calculate the lenght of the diagonal d across the square, we can assume that the square it is compound of two right triangles. So, we can resolve this exercise using The Pythagorean Theorem.

<em>The Pythagorean theorem</em> states that in every right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the respective lengths of the legs. It is the best-known proposition among those that have their own name in mathematics.

If in a right triangle there are legs of length a and b, and the measure of the hypotenuse is c, then the following relation is fulfilled:

a^{2} +b^{2} =c^{2} a is the height, b is the base, and c is  

the hypotenuse.

To obtain the value of the hypotenuse

c= \sqrt{a^{2} +b^{2} }

To find the value of the lenght of the diagonal d across the square, we have:

d=\sqrt{a^{2} +b^{2} } Where a = b = 20

Substituting the values

d=\sqrt{(20)^{2} +(20)^{2} }\\d=\sqrt{400+400} =\sqrt{800} \\d=28.284

Round the answer to 2 decimal places

d=28.28

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