Answer:
- t = -5/2
- -21
Step-by-step explanation:
3t - 7 = 5t
~Subtract 3t to both sides
-7 = 2t
~Divide 2 to both sides
-7/2 = t
~Find 6t with what we found for t
6(-7/2)
-21
Best of Luck!
Answer: see below
Step-by-step explanation:
|2x+5|=7
2x+5=±7 ⇔ since the absolutely value of any number is all positive, so the value in side can be either positive or negative
2x+5=7 or 2x+5=-7
2x=2 2x=-12
x=1 or x=-6
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The product of the two solutions
1 × -6=-6
Hope this helps!! :)
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Answer:
a = 6, b = 22.5
Step-by-step explanation:
One triangle is 2.5 times bigger than the other.
9*2.5=22.5 which means b = 22.5
15/2.5=6 which means a = 6
Answer:
16
Step-by-step explanation:
To start off this problem, we are given that the line AB is equal to the line CD. In addition to that, we are given that the line EF equally intersects line AB and line CD. This provides us proof that angle AGH is equivalent to angle DHG. From this information, we can solve this problem relatively easily.
Lets work with this equation:
Next, divide 80 by 5.
This means that x is equal to 16.
Answer:
y +8 = -4(x -8)
Step-by-step explanation:
You recognize that the given equation is in slope-intercept form:
y = mx + b
with m = 1/4 and b = 5.
A perpendicular line will have a slope that is the negative reciprocal of this value of m, so the desired slope is ...
-1/m = -1/(1/4) = -4
The point-slope form of the equation for a line is ...
y -k = m(x -h) . . . . . for slope m through point (h, k)
Using m=-4 and (h, k) = (8, -8), the point-slope form of the equation for the line you want is ...
y +8 = -4(x -8)