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Serjik [45]
3 years ago
12

The equation for line g can be written as y = x + 5. Parallel to line g is line h, which passes through the point (-6, -4). What

is the equation of line h? SHOW WORK PLEASE​

Mathematics
1 answer:
Irina18 [472]3 years ago
4 0

Answer:

y=x+2

Step-by-step explanation:

we know the slopes have to be equal because the lines are parallel, so the slope is 1, or written as x. plug the point given, (-6,-4), and the slope, 1, into the y=mx+b equation to find the y-intercept. then solve. then put the slope and y-intercept together for the equation of line h.

y=mx+b, m=1, x=-6, y=-4

-4=(1)(-6)+b

-4=-6+b

2=b

y=x+2

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Express -2(x - y) -10 = 0 in standard form.
goldenfox [79]

Answer:

2x - 2y = - 10

Step-by-step explanation:

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

Given

- 2(x - y) - 10 = 0 ← distribute parenthesis on left side

- 2x + 2y - 10 = 0 ( add 10 to both sides )

- 2x + 2y = 10 ( multiply through by - 1 )

2x - 2y = - 10 ← in standard form

8 0
3 years ago
HELP ME PLASED ADORE U GUYS <33
stira [4]

I think it’s 32

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
troy's truck has a 30 gallon gas tank and gets an average of 21 miles per gallon.write an equation to represent the amount of ga
GuDViN [60]

Let

x---------> represent the number of miles Troy's has driven

y--------> represent the amount of gas in Troy's truck

we know that

the equation that represents the amount of gas, y, in troy' s truck after driving a certain number of miles, x is

y-y1=m*(x-x1)

where

m is the slope---------> \frac{gallon}{miles}

in this problem the slope is equal to -\frac{1}{21} \frac{gallons}{miles}

it's negative because the tank is going to be consumed

assuming he starts with a full tank

for\ x=0\ y=30\  gal

substitute in the formula above

y-y1=m*(x-x1)\\\\ y-30=-\frac{1}{21}*(x-0)\\\\ y=-\frac{x}{21}+30

therefore

the answer is

the equation y=-\frac{x}{21}+30

8 0
3 years ago
Read 2 more answers
Write and solve an equation for each problem. Show ALL solution steps.<br> (Needs to be done soooon)
Ray Of Light [21]

Answer:

5.Area=1/2×b×h

Area=1/2×18×7

Area=63feet²

6.A=1/2(b1+b2)h

60=1/2(8+12)h

120=20h

h=6m

7.V=lwh

w=V/lh

w=1890/10×14

w=1890/140

w=189/14

w=17/2

w=8.5m

8.d=rt

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r=320/5

r=64miles/h

9.

8 0
3 years ago
Solve the equality, - (7c-18)-2c&gt;0
Gwar [14]
(7c-18)-2c>0

group like terms: 7c-2c-18>0

add similar elements: 7c-2c=5c
5c-18+18>0+18

Add 18 to both sides
5c-18+18>0+18

simplify
5c>18

divide both sides by 5
5c÷5>18/5

simplify
c>18/5
7 0
3 years ago
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