Well from combining I got ㏑(x²+10x+21)/-2
Answer: SAS stands for side angle side and it means triangles are congruent by having the same side, angle, and side
Explanation: Let's say, two triangles both have the same angle, say 90 degrees. They also share two side lengths. Both triangles have a side length of 9 and another side length of 8.
The two triangles, sharing all these properties, must be congruent. This congruency is proven by SAS.
However, you must not get confused with other ways to prove congruency like ASA (Angle-Side-Angle)
First we rewrite the table:
20 30
50 75
80 120
150 ?
We observe that for each 30 number of hops, the distance increases by 45 feet.
We must find the slope of the line:
m = (y2-y1) / (x2-x1)
m = (75-30) / (50-20)
m = 1.5
Then, the line is:
y = 1.5x
We substitute x = 150
y = 1.5 * (150)
y = 225
Answer:
Find the ratio of hops to distance traveled (1: 1.5), then multiply 150 by 1.5.
y + 8 = 1/3 (x+6)
With the given information, we can use the point-slope formula, , to write the equation of the line. Substitute values for the , , and in the formula to do so.
The represents the slope, so substitute in its place. The and represent the x and y values of one point the line intersects, so substitute -6 for and -8 for . This gives the following answer and equation (just make sure to convert the double negatives into positives:
Step-by-step explanation:
steps are in picture above.
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