Answer: 36
Step-by-step explanation:
The legs are given to be :
3x - 1 and -x + 27
The base = 5x + 1
One of the properties of an isosceles triangle is that two sides are equal , that is the two legs are equal. This means that
3x - 1 = - x + 27
3x + x = 27 + 1
4x = 28
x = 7
To calculate the length of the base, substitute x = 7 into the length of the base given , that is
Length of the base = 5(7) + 1
L = 35 + 1
L = 36
Using translation concepts, the y-coordinate of R' will be of -10.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For this problem, the rule is given by:
(x,y) -> (x + 4, y - 7)
y -> y - 7 means that for the image, the 7 is subtracted from the y-coordinate of the pre-image. The y-coordinate of R is of -3, -3 -7 = -10, hence the y-coordinate of R' will be of -10.
More can be learned about translation concepts at brainly.com/question/28393734
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Answer:
24x^2
Step-by-step explanation:
When expanded (x+2)^4= x^4+8x^3+24x^2+32x+16
The only term that matches with these is 24x^2
Answer:
A. The slope of Birch Street is 0. To be perpendicular to Elm, Birch would have to have a slope of negative 4/7.
Step-by-step explanation:
I had this same question on Gradpoint and got it correct.
Answer:
x = 35°
Step-by-step explanation:
These are corresponding angles. When a transversal crosses 2 parallel lines, 4 angles are created at each intersection, and each pair of corresponding angles between those are congruent.
These angles are congruent, so you can set them equal to each other:
Then, just solve for x:
You can check that by plugging it back into both: