Answer:
A. Y=3x+2
Step-by-step explanation:
Y=mx+c
m - slope coefficient of x
and so you can easily find the slope if you are asked directly like this seen in option A.
the picture has a value of X2=-3 , X1=3 & Y1=3 Y2= 1
m = Y2 - Y1 / X2 - X1 = 1-3/-3-3 = -2/-6 = 1/3.
as you can now see, the slope from the pic which is 1/3 is less than that of option A.
The answer is 6
3x-12-x-5=2x-11
2x-17=2x-11
=6
Answer:
840 cm³
Step-by-step explanation:
Cut the prism into two cuboids.
The first cuboid has dimensions of 4 cm × 6 cm × 5 cm
The height is 4 cm, the width is 5 cm and the length is 6 cm.
The second cuboid has dimensions of 15 cm × 6 cm × 8 cm.
The height is 8 cm, the width is 6 cm and the length is 15 cm.
The formula for the volume of the cuboid is l×w×h.
Length × Width × Height
The first cuboid has a volume of:
4 cm × 6 cm × 5 cm
= 120 cm³
The second cuboid has a volume of:
15 cm × 6 cm × 8 cm
= 720 cm³
Add the volumes of the two cuboids.
720 cm³ + 120 cm³
= 840 cm³
The volume of the prism is 840 cm³.
Answer:
920 ft^2
Step-by-step explanation:
area of triangles: base x height / 2 (2)
8 x 15 / 2
= 60 x 2
= 120
area of rectangular base: length x width
15 x 20 = 300
area of sloped rectangle: length x width
17 x 20 = 340
area of rectangle: length x width
8 x 20 = 160
Total: 120 + 300 + 340 + 160
=920 ft^2
Answer:
Step-by-step explanation:
You need to use distributive property and multiply each term of the binomial "3x+7" (that is 3x, and 7) by each term of the trinomial "
" taking care of their appropriate signs, and then combine like terms until there is no more than one term for each power of "x". It is also customary to order the final terms in descending order of power of "x".
Let's start by multiplying as indicated above:
![(2x^2+5x-3)*(3x+7)=\\=2x^2\,*\,3x+2x^2\,*\,7\,+5x*3x+5x*7-3*3x-3*7=\\=6x^3+14x^2+15x^2+35x-9x-21=\\=6x^3+[14x^2+15x^2]+[35x-9x]-21=\\=6x^3+29x^2+26x-21](https://tex.z-dn.net/?f=%282x%5E2%2B5x-3%29%2A%283x%2B7%29%3D%5C%5C%3D2x%5E2%5C%2C%2A%5C%2C3x%2B2x%5E2%5C%2C%2A%5C%2C7%5C%2C%2B5x%2A3x%2B5x%2A7-3%2A3x-3%2A7%3D%5C%5C%3D6x%5E3%2B14x%5E2%2B15x%5E2%2B35x-9x-21%3D%5C%5C%3D6x%5E3%2B%5B14x%5E2%2B15x%5E2%5D%2B%5B35x-9x%5D-21%3D%5C%5C%3D6x%5E3%2B29x%5E2%2B26x-21)
