Answer:
Slope: 1.5
Step-by-step explanation:
We first have to find what y is equal to. That means we take 3x - 5 and divide it by 2. We get 1.5x - 2.5. Since the lines are parallel and they have the same slope and different y - intercepts, we know that the slope will be equal.
Answer:
Step-by-step explanation:
If the value of y is same for both then we have equal right sides of equations
Solve this for x
- 50x - 30x = 70 - 10
- 20x = 60
- x = 60/20
- x = 3
Find the value of y
- y = 50*3 + 10 = 150 + 10 = 160
Correct choice is A
Answer: 14
Step-by-step explanation:
the question is just asking you to replace the x and y with the corresponding numbers.
x = 4
y = -3
Since x is 4 squared it would be 16.
-4 times -3 equals positive 12.
That would make the equation
(16 + 12) divided by 2
16 + 12 = 28 divide that by 2 and you’ll get 14.
Step-by-step explanation:
earbuds
we have a 1in : 0.2in scale of drawing to reality.
0.2 = 2/10 = 1/5
so, 1in in the drawing is actually 1/5in in reality.
how long are the 4in in the drawing ?
well, 4 times the 1in thing.
4×1/5 = 4/5 = 0.8in long
again the similar triangles
similar triangles means that each pair of corresponding lines (sides, heights, ...) in the triangles follows the same scaling factor for the length.
so, what do I need to multiply the side of the large triangle with to get the corresponding side length of the small triangle ?
27 × x = 9
x = 9/27 = 1/3
and that is the scale factor.
9514 1404 393
Answer:
x = 12
Step-by-step explanation:
We can find x using either the measure of angle B, or the measure of angle A.
Using A, we have ...
48 = x^2 -8x
Adding 16 completes the square:
64 = x^2 -8x +16 = (x -4)^2
Then the positive solution is ...
√64 = x -4
x = 4 +8 = 12
The triangles are similar when x=12.
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<em>Check</em>
We expect angle B to be 84° when x=12:
(x^2 -5x) = x(x -5) = 12(7) = 84 . . . . as needed
