The expression y = 1/2x + 6 is written in slope-intercept form (y = mx + b) where m equals the slope and b equals the y-intercept. In this equation m = 1/2 and b = 6. So, the slope is 1/2 and the y-intercept is 6. The y-intercept is going to be on y-axis, so, its going to be written as (0, 6). The only option that is correct is [ The slope is 1/2 and the y-intercept is at the point (0,6) ]
Best of Luck!
Answer:
57, 53, 49, 45
Step-by-step explanation:
Substitute for the n for n=1,2,3,4 so the first term is 57-4(1-1) so =57-4(0) so
a(1) = 57-0 = 57 so that is the 1st term
2nd term 57-4(2-1) so =57-4(1) so a(2) = 57-4 = 53, etc.
Answer:
To find f(g(x)), we just substitute x = g(x) in the function f(x). For example, when f(x) = x2 and g(x) = 3x - 5, then f(g(x)) = f(3x - 5) = (3x - 5)2.
three shapes. three areas to find. three areas to add together to find the whole area. gotcha.
Step-by-step explanation:
- smaller rectangle
- larger rectangle
- right triangle
<h2>
smaller rectangle: </h2>
length is 7 cm and width is 4 cm, so the area is <u>28 square cm</u>
<h2>
</h2><h2>
larger rectangle:</h2>
width is 4 cm and length is 10 cm, so the area is <u>40 square cm</u>
Because the weird shape's bottom length was 13 cm. There are 3 cm and 7 cm on the top length(s) of the weird shape, next to each other. Looking at the dash lines, when adding 3 cm and 7 cm together, the larger rectangle's length is 10 cm.
<h2>right triangle: </h2>
base is 3 cm and height is 8 cm, so the area is (3x8)/2 = 24/2 = <u>12 square cm</u>
With knowledge from figuring out the larger rectangle's length being 10 cm and the weird shape's bottom length being 13 cm, we know the right triangle's base is 3 cm. (13 cm - 10 cm = 3 cm for the base of the right triangle).
Due to adding 4 cm and 4 cm of weird shape's width, which is also a right triangle's height.
<h2>weird shape's area from adding three shapes' areas: </h2>
28 + 40 + 12
= 80 square cm (ANSWER)
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