Answer:
Step-by-step explanation:
To find out the m(slope) of the equation use the formula:
.
Substitute the values:
Combine the values:
Find the value of the fraction:
M is -3.
The equation so far is 
To find the y intercept, substitute one pair of coordinates into the equation and solve for b:
.
We see that b =-17 so the full equation would be:
.
Answer:
11,7,-3 respectively
Step-by-step explanation:
when x is -2 ,0 and 5 the result will be 11, 7 and -3 respectively
Answer:
1/3
Step-by-step explanation:
when you change the mixed numbers to improper fractions, you get 4/5 * 10/9 ÷ 8/3. you can flip the 8/3 to 3/8 and change the division sign to multiplication, because dividing by a fraction is the same as multiplying by its reciprocal. you can cancel some things and ultimately you get 1/3
Answer:
x = 5, x = 1
Step-by-step explanation:
The quadratic equation 0 = 4(x - 3)2 - 16.
Using binomial theorem, (a - b)2 = a2 - 2ab + b2 to expand (x - 3)2.
0 = 4(x2 - 6x + 9 ) - 16.
Using distributive property to multiply 4 by x2 - 6x + 9.
0 = 4x2 - 24x + 36 - 16.
Subtract 16 from 36 to get 20.
0 = 4x2 - 24x + 20.
4x2 - 24x + 20 = 0.
Divide both sides by 4.
x2 - 6x + 5 = 0.
To solve the equation, factor and rewrite as x2 + ax + bx + 5
a + b = -6, ab = 1(5) = 5.
a = -5, b = -1.
Rewriting x2 - 6x + 5 as
(x2 - 5x) + (-x + 5)
Factor x in the first and -1 in the second group.
x(x - 5) - (x - 5)
Factor out common term
(x - 5)(x - 1)
By solving the above, we get
x = 5, x = 1
Answer:
1380 in²
Step-by-step explanation:
The lateral surface is the sum of the areas of all the sides, or 'faces'.
The bases (the top and bottom) are <u>not </u>included.
This is a prism with triangles for bases (at each end). The sides are rectangles.
Add up the areas of the rectangles.
300 + 480 + 600 = 1380
