Answer:
Here is the summary:
- y = 13x+5 satisfies the points (0, 5) and (-2, -21)
- y = -3x satisfies the points (0, 0), (-5, -15) and (-3, 9)
- y = x-10 satisfies the points (8, -2)
Step-by-step explanation:
Given the equation
The points which satisfy the equation y=13x+5
y = 13x+5
Checking the point (0, 5)
5 = 13(0)+5
5 = 0 + 5
5 = 5
TRUE
Checking the point (-2, -21)
-21 = 13(-2)+5
-21 = -26 + 5
-21 = -21
TRUE
The points which satisfy the equation y=-3x
y = -3x
Checking the point (0, 0)
0 = -3(0)
0 = 0
TRUE
Checking the point (-5, -15)
y = -3x
-15 = -3(-5)
-15 = -15
TRUE
Checking the point (-3, 9)
y = -3x
9 = -3(-3)
9 = 9
TRUE
The points which satisfy the equation y=x-10
y = x-10
Checking (8, -2)
-2 = 8 - 10
-2 = -2
TRUE
Therefore, from the above calculations we conclude the summary:
Here is the summary:
- y = 13x+5 satisfies the points (0, 5) and (-2, -21)
- y = -3x satisfies the points (0, 0), (-5, -15) and (-3, 9)
- y = x-10 satisfies the points (8, -2)
The answer:
according to the image, the main theorem concerning right triangle similarity is as follow:
the altitude to the hypotenuse of a right triangle divides the triangle into two triangles that are similar to the original triangle and each other,
in our case, KL is the altitude, and by applying theorem, we get three triangles that are similar:
therefore:
<span>△JKL ~ △JKM
</span><span>△JKM ~ △JKM
</span><span>△JMK ~ △KML</span>
Two factors that give a product of 1600 can be 80 × 20
1. 5:15 = 1/3
scale factor is 1/3going from bigger to smaller
2. 2/8 = 1/4
14 x 1/4 = 3.5
X = 3.5
Answer:
the answer for question 1 is -7
