y = - 3
the equation of a horizontal line, parallel to the x- axis is y = c where c is the value of the y- coordinate the line passes through
Line passes through ( - 7, - 3) → y- coordinate is - 3
equation of line is y = - 3
Answer:
Step-by-step explanation:
The volume of a cube is
V=s^3, we are told the volume is 10u^3 and that it will be filled with cubes having a side of 1/2 so
n(1/2)^3=10, where n will be the number of these small cubes
n(1/8)=10 upon multiplying each side by 8
n=80
So it will take 80 cubes of side length 1/2 to have a volume equal to 10u^3
The fromula of a slope:
![m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
a) (-1, -8), (-7, -4)
substitute
![m=\dfrac{-4-(-8)}{-7-(-1)}=\dfrac{-4+8}{-7+1}=\dfrac{4}{-6}=-\dfrac{2}{3}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B-4-%28-8%29%7D%7B-7-%28-1%29%7D%3D%5Cdfrac%7B-4%2B8%7D%7B-7%2B1%7D%3D%5Cdfrac%7B4%7D%7B-6%7D%3D-%5Cdfrac%7B2%7D%7B3%7D)
b) (2.1, 3.8), (3.1, 7.6)
substitute
![m=\dfrac{7.6-3.8}{3.1-2.1}=\dfrac{3.8}{1}=3.8](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B7.6-3.8%7D%7B3.1-2.1%7D%3D%5Cdfrac%7B3.8%7D%7B1%7D%3D3.8)
Answer:
<h3>77</h3>
Step-by-step explanation:
If Point D is in the interior of <ABC, then <ABD+<BDC = <ABC
Given
<ABC = 10x - 7,
<ABD = 6x + 5
<DBC = 36
Substituting the given parameters into the formula above;
ABD+<DBC = <ABC
6x + 5+ 36 = 10x-7
6x+41 = 10x-7
collect like terms
6x-10x = -7-41
-4x = -48
divide both sides by -4
-4x/-4 = -48/-4
x = 12
To get <ABD, we will substitute x = 12 into the expression <ABD = 6x + 5
<ABD = 6(12)+5
<ABD = 72+5
<ABD =77
Hence the value of <ABD is 77
Answer:
v = 4
Step-by-step explanation:
4 is less than 5. 7,8 and 10 are all greater than 5.