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Komok [63]
4 years ago
8

Solve the system of equations Please If you could solve this it would honestly mean so much! Thank you!

Mathematics
1 answer:
Kay [80]4 years ago
4 0

Answer:

(2, 8)

Step-by-step explanation:

There are a couple of different ways to do this, but I am going to use substitution since we already have one of those equations solved for y.  If y=3x+2, then we can sub 3x+2 in for y in the other equation:

-3x + 2(3x + 2) = 10 and

-3x + 6x + 4 = 10 and

3x + 4 = 10 and

3x = 6 so

x = 2.  Now that we know x = 2, we can sub a 2 in for x in either equation to solve for y:

y = 3x + 2 gives us, with the substitution, y = 3(2) + 2 so y = 8.  The solution set is (2, 8)

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Write the equation of the parallel line that passes through (0,-3)
Gemiola [76]

Answer:

y = 1.2x - 3 (slope intercept form)

or

5y-6x = -15 (standard form)

Step-by-step explanation:

Two parallel lines have the same slope, which means that our line's slope, will also be 1.2.

we can use the formula to find the equation of the line:

y-y1 = m (x-x1)

y1 - y coordinate of a point on the line

x1 - x coordinate of the same point on the line

m - slope

 

and we get:

y+3 = 1.2 (x-0)

y = 1.2x - 3 (slope intercept form)

or

5y-6x = -15 (standard form)

5 0
3 years ago
The height of a parallelogram is 6 feet more than its base. If the area of the parallelogram is 160 square feet, find the length
IRINA_888 [86]

Answer:

10 feet

Step-by-step explanation:

base= x feet

height=(6+x) feet

area= (6+x)x=160

=6x+x²=160 ==> x²+6x-160=0

factories the eqn obtained....

(x-10)(x+16)=0

x= 10 or -16

since length cannot be negative, x=10

since the base = x feet

base=10 feet

8 0
2 years ago
A box is 12 cm wide 12 cm long and 15 cm tall what is the total surface area of 4 such boxes
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If gasoline is $2.159 per gallon in the us. How much would it cost in gasoline to drive 600 miles?
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$64.77
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a. Find the slant height of the cone. The slant height is the distance from the apex, or tip, to the base along the cone’s later
timama [110]
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6 0
3 years ago
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