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melisa1 [442]
3 years ago
12

Solve each equation by either substitution or addition method.

Mathematics
1 answer:
irina [24]3 years ago
6 0

Answer: (2,2), (4,2)

First, I subtracted 2y from both sides of the second equation. Then, I substituted -2y+6 in for x in the first equation (-2y+6)²+4y²=20. Then, I expanded 4y²-24y+16+4y²=20. Next, I combined like terms, and moved everything to one side 8y²-24y+16=0. Then, I factored out an 8, and then finished factoring 8(y-2)(y-1). This gives me my y-values, y=1,2. Next, I inserted each y-value into the second equation and got x=-2(1)+6 ---> x=4 (The first solution is (4,1). ) and x=-2(2)+6----->x=2 (The second solution is (2,2).

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One evening, it snowed in several towns. The number of inches of snow the towns received are shown in the list below.
Rama09 [41]

Answer:

3/4,3/4,3/4,3/4,1,1,2,11/2,11/2,11/4,11/4

Step-by-step explanation:

we just arrange the number from the smallest to bigger

8 0
3 years ago
There is a strong positive linear correlation between rainfall and the number of oranges a tree produces. Does this mean that mo
8_murik_8 [283]
No; just because there is a correlation does not prove causation. 

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5 0
4 years ago
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80% of _____ games is 32 games AND 75% of ____ peaches is 15 peaches
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Your friend can clap his hands 28 times in 12 seconds. How many times can your friend clap his hands in 0.5 minute?
Allushta [10]
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7 0
3 years ago
The base of a triangle exceeds the height by 9 centimeters. If the area is 56 square centimeters, find the length of the base an
shepuryov [24]

Answer:

The height of the triangle is 7cm and the base is 16cm

Step-by-step explanation:

First of all we have to know the formula to calculate area of ​​a triangle

a = area = 56

b = base

h = heigth

a = (b * h)/2

we replace the known values and we make 2 equations

56cm² = (b * h)/2

b = h + 9cm

we replace b by (h + 9cm) in the first equation

56cm² = (h + 9cm * h)/2

56cm² * 2 = h² + 9h

0 = h² + 9h - 112cm²

we use bhaskara formula:

(-b (±) √ (b² - 4ac) ) / 2a

we replace with the known values

h = (-9 (±) √ (9² - 4*1*(-112) ) ) / 2*1

h = (-9 (±) √ (81 + 448) ) ) / 2

h = (-9 (±) √529) /2

h = (-9 (±) 23)/2

h1 = (-9 + 23) / 2

h1 = 14 / 2

h1 = 7

h2 = (-9 - 23) / 2

h2 = -32 / 2

h2 = -16

The height of the triangle is 7cm and the base is 16cm

8 0
3 years ago
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