solution is (4, - 7 )
given the equations
y = 2x - 15 → (1)
4x + 3y = - 5 → (2)
substitute y = 2x - 15 into (2)
4x + 3(2x - 15) = - 5
4x + 6x - 45 = - 5
10x - 45 = - 5 ( add 45 to both sides )
10x = 40 ( divide both sides by 10 )
x = 4
substitute x = 4 into (1) for corresponding value of y
y = (2 × 4 ) - 15 = 8 - 15 = - 7
solution is (4, - 7 )
Answer:
Step-by-step explanation:
Bottom triangle
Area = b * height
b = 4 + 4 = 8 cm
h = 5.75
Area = 1/2 * 5.75 * 8
Area = 23 cm^2
Trapezoid
b1 = 8
b2 = 4
h = 2
Area = (b1 + b2)*h/ 2
Area = (8 + 4)*2 /2
Area = 12
Total area = 23 + 12
Total area = 35
Answer:
Answer:Noah and Gabriel are in the same English class. They have taken 6 quizzes so far. ... Gabriel's scores: 82, 85, 86, 86, 90, 94 Total of 523 ... What are Gabriel's mean, median, and mode? ... 1.1/5. 2. ryan28772020. ryan28772020. jd3sp4o0y. +16. jd3sp4o0y and 16 ... D. The mean is 83 and the median is 90.
Step-by-step explanation:
Answer:
ST = 4
Step-by-step explanation:
If the pentagons are similar, the ratio between a pair of sides of one pentagon is the same ratio for the similar pair of sides of the second pentagon, so we have that:
XY / YZ = ST / TU
32 / 36 = (4c + 2) / (5c + 2)
8 / 9 = (4c + 2) / (5c + 2)
8*(5c + 2) = 9*(4c + 2)
40c + 16 = 36c + 18
4c = 2
c = 0.5
So the length of ST is:
ST = 4c + 2 = 4*0.5 + 2 = 4
Answer:
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Step-by-step explanation:
