Answer:
x = -6
Step-by-step explanation:
Undefined slope means the line goes straight up and down, but the x is always -6.
Answer:
108=2r-21+7r-6
Step-by-step explanation:
hope this helps you ;)
In any equation with variables, you want to end with a variable isolated on one side with no coefficients(like x=4, for instance).
So, with that in mind, let's solve number 2.
5(x-3) - 2(2x+4) = -2(x-2)
Let's distribute the coefficients.
(5x-15)-(4x+8) = (-2x+4)
Simplify the left side first (by subtracting the two)
5x-4x = x
-15 - (+)8 = -23
So, left side is
x-23 = -2x+4
We're close now, just bring the x to the left side and the other values to the right
x-23 = -2x+4
+23 +23
x=-2x+27
+2x +2x
3x=27
divide by 3
x=9
3.
3(4x-5)-2(2x-2)=4(3x-2)+5
Same idea here; distribute the coefficients, and simplify.
(12x-15)-(4x-4)=(12x-8)+5
12x-4x=8x
-15-(-)4=-11
-8+5=-3
8x-11=12x-3
bring x to left, other numbers to right
-12x -12x
+11 +11
-4x = 8
divide by -4
x=-2
Known :
Rectangular 1 :
l1 = 12 in
w1 = 6 in
h1 = 12 in
Rectangular 2 :
l2 = 18 in
w2 = 8 in
h2 = 10 in
Asked :
Volume = ...?
Answer :
V = V rectangular 1 + V rectangular 2
= (l1 × w1 × h1) + (l2 × w2 × h2)
= (12 × 6 × 12) + (18 × 8 × 10)
= 864 + 1.440
= <u>2</u><u>.</u><u>0</u><u>3</u><u>4</u><u> </u><u>in</u><u>³</u>
So, the volume of the figure is 2.034 cubic inches.
<em>Hope it helpful and useful :</em><em>)</em>
Ans: Option (D) 25%
Explanation:
In this case you need to find the area under the curve, which would essentially be the probability of a value in the sample space.
Now the range given is from 60 to 80; it contains the mini-triangle.
The area of the triangle = (1/2)*base*height
Since base = 80 - 60 = 20
Height = 0.025 - 0 = 0.025 (see in the graph)
Therefore
The area of the triangle = 1/4 = 0.25 which is essentially be the probability.
In percentage form, it is 25% (Option D)