28) Slope is (5-2)/(-2-4) = 3/-6 = -1/2 so a possible point-slope form is
y - 2 = -1/2(x-4)
29) y = -2 is a horizontal line. If you are wanting a line perp. to a horizontal line, you get a vertical line of the form x = a. Since it passes through (-2,-1), the point slope form is just x = -2 (there's no real point slope form because there is no y. vertical line does not care about y; all the y-values are on the vertical line)
30) Since 25*3 = 75, √(75) = √(25*3)=√25 * √3 = 5√3
31) √128 = √(64 * 2) = 8√2
32) √144 = 12 because 12*12 = 144
33) 4√(54) = 4√(9*6) = 12√6
34) 2√(32) = 2√(16*2) = 8√2
35) -6√175 = -6√(25*7) = -30√7
Answer:
Step-by-step explanation:
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Answer:
-3, 5/2
Step-by-step explanation:
What are the roots of the function y = 4x2 + 2x – 30?
To find the roots of the function, set y = 0. The equation is 0 = 4x2 + 2x – 30.
Factor out the GCF of : 2, so the equation becomes 0 = 2(2x2+x-15)
Next, factor the trinomial completely. The equation becomes: 0=2(x+3)(2x-5)
Use the zero product property and set each factor equal to zero and solve.
x+3=0 2x-5 = 0
x = -3, 5/2
The roots of the function are -3, 5/2.
Hope this helped!
Answer:
The length of diagonal TU is 102 units
Step-by-step explanation:
Mathematically, the diagonals of a parallelogram bisect each other
This means that the lengths on either of the either of the sides are equal
Mathematically, we have it that;
7x + 2 = 6x + 9
7x - 6x = 9-2
x = 7
The diagonal TU has the measure of ;
(7x + 2) + (6x + 9)
7x + 6x + 2 + 9
= 13x + 11
substituting the value of x, we have
13(7) + 11
= 102
Sergio did not use 15 inches of his yellow yarn
