For lines to be parallel they must have the same slope. Since our reference line is y=5x-7 the parallel line must have the same slope, in this case 5.
So our parallel line thus far has the form:
y=5x+b, using point (-1,-3) we can find the y-intercept or "b"
-3=5(-1)+b
-3=-5+b
b=2 so the parallel line is:
y=5x+2
The formula to find the circumference of a circle is 2 x pi (π) x radius. The radius is half of the diameter. Therefore, since the diameter is 20, the radius is 10. Pi is equal to approximately 3.14.
3.14 x 10 x 2 is 62.8.
The circumference of the circle is 62.8 m.
I found the corresponding image.
The step towards proving the similarity of triangles DEF and GED is:
ANGLE E IS CONGRUENT TO ITSELF.
ΔDEF is a right triangle. Its hypotenuse is EF, its long leg is DF, its short leg is DE.
ΔGED is also a right triangle. Its hypotenuse is DE, its long leg is DG, its short leg is GE.
Only Angle E is in both triangles and its measure remains the same.
P(x)=3x 4 −2x 3 +2x 2 −1P, left parenthesis, x, right parenthesis, equals, 3, x, start superscript, 4, end superscript, minus, 2
Oksanka [162]
The remainder when the polynomial is divided by x + 1 is 2
Given the function P(x)=3x^4 −2x^3 +2x^2 −1, to get the rmainder if the polynomial is divided by x + 1, we will substitute x = - 1 into the function to have:
P(-1) = 3(-1)^4 −2(-1)^3 +2(-1)^2 −1
P(-1) = 3(1) - 2 + 2(1) - 1
P(-1) = 1 + 1
P(-1) = 2
Hence the remainder when the polynomial is divided by x + 1 is 2
Learn more on polynomials here: brainly.com/question/4142886
Answer:
8. 500.8
9. 5008
10. 50080
Step-by-step explanation: