Answer:
D
Step-by-step explanation:
y_2 - y_1 / x_2 - x _1
4 - 2 / 3 - (-1) = 2/4 = 1/2
y +4 = 1/2 (x + 3) distributive property
y + 4 = 1/2x + 1.5
y= 1/2x - 5/2 subtraction (you subtract 4 from both sides) (-5/2 = -2.5)
therefore your equation is y = 1/2x - 5/2
hope this helps :)
Answer:
5y = x + 11
Step-by-step explanation:
Given parameters:
Equation of the line ;
y = -5x + 1
Coordinates = (2, -1)
Find the equation of a line perpendicular;
Solution:
A line perpendicular to y = -5x + 1 will have slope that is a negative inverse of the given one.
Equation of a straight line is expressed as;
y = mx + c
y and x are the coordinates
m is the slope
c is the y-intercept
So, the slope of the new line perpendicular is
;
Now let us find the y-intercept of the new line;
x = -1 and y = 2
2 =
x (-1) + c
c = 2 +
=
The equation of the new line is;
y =
x +
or multiply through by 5;
5y = x + 11
We are given
edge of cube =x
we know that formula for volume of cube

we are given

we can plug value

now, we can solve for x
![\sqrt[3]{x^3} =\sqrt[3]{\frac{1}{8} cm^3 }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E3%7D%20%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B1%7D%7B8%7D%20cm%5E3%20%7D)
............Answer
Let x = the unknown angle
sine of an angle is measure of the opposite leg divided by the hypotenuse.
sin x = 10/21
To now solve for x, we so the inverse of sine.
sin⁻¹(10/21) = x
Plug this into your calculator.
x ≈ 28.44 degrees. This would round down to 28 degrees, option B is your answer.
For the first question you just need to add up all the sides. so first add all the x numbers and then add all the plain numbers.
a perimeter is the total length around the shape.