Answer:
<em>The base is 24 cm long.</em>
Step-by-step explanation:
<u>Equations</u>
Let's call
b= base of the triangle
h=height of the triangle
The base is 9 cm longer than the height, thus:
b = h + 9
The area of the triangle is:
And its value is 180:
Multiplying by 2:
Operating:
Factoring:
The only valid positive solution is:
h = 15 cm
And b = h + 9 = 24
b = 24 cm
The base is 24 cm long.
<h3>
Answer:</h3>
4. -3
5. 3
<h3>
Step-by-step explanation:</h3>
4. For x > -2, the value of a is the slope of the line. The line goes down 3 units for each 1 to the right, so the slope is -3/1 = -3. Then a = -3.
___
5. The ordered pair (h, k) is typically used to name the point to which a function is translated. The vertex of the function f(x) = |x| is (0, 0). When it is translated to (h, k), the function becomes ...
... q(x) = |x -h| +k
If the new vertex is (3, 0), then h = 3 and k = 0. This is consistent with the equation shown. (k = 0 means q(x) = |x -h|.)
Answer:
Step-by-step explanation:
Slope m = 5/6
The points (-2,1)
So; y1 = 1 and x1 = -2
The equation is y - y1 = m(x - x1)
y - 1 = 5/6(x + 2)
Multiply each term by 6
6y - 6 = 5(x + 2)
6y - 6 = 5x + 10
6y = 5x + 10 + 6
6y = 5x + 16
- 5x + 6y = 16
Multiplying by minus
5x - 6y = -16
Solution for what is 150% of 40 40/x=100/150 (40/x)*x=(100/150)*x - we multiply both sides of the equation by x 40=0.666666666667*x - we divide both sides of the equation by (0.666666666667) to get x 40/0.666666666667=x 60=x x=60 now we have: 150% of 40=60
Answer:
452.39 mi^2
Step-by-step explanation:
A = πr^2
A = π (12mi)^2
A = 452.39 mi^2
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