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3 years ago

You just looked at the graph of this system of equations. Why will the lines never intercept?

Mathematics

2 answers:

Basile [38]3 years ago

7 0

Answer:

Step-by-step explanation:

The have the same slope, -1, but different y-intercepts. The lines are parallel.

Eddi Din [679]3 years ago

6 0

Answer:

The linear equations have the same slope, so the rate of change for each is the same. As long as the rate of change is the same, the lines will stay the same distance apart and not intersect.

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The angles shown below are supplementary: what is the value of x

Annette [7]

Answer:

$x=12$

Step-by-step explanation:

By definition, supplementary angles add up to 180 degrees. Therefore, we can set up the follow equation to solve for $x$ :

$10x+60=180,\\10x=120,\\x=\boxed{12}$

5 0

3 years ago

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a car uses 9 gallons of gasoline to go 162 miles. how many gallons of gasoline will the same car use to travel 216 miles?

Ber [7]

Answer:

$12\ gallons$

Step-by-step explanation:

Step 1: Determine the unit rate

$Miles / Gallons$

$162\ miles / 9\ gallons$

$18\ miles/gallon$

Step 2: Determine the amount of gasoline used for 216 miles

$216\ miles * (gallon / 18\ miles)$

$12\ gallons$

Answer: $12\ gallons$

8 0

2 years ago

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Travis can afford a $260-per-month car payment, and he is interested in either a compact car, which costs $10800, or a coupe, wh

ludmilkaskok [199]

Answer: travis can afford the compact car but not the coupe

Step-by-step explanation:

3 0

3 years ago

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Sam's age is 125% of mary's age. mary's age is p% of sam's age. what is the value of p?

ddd [48]

Let Sam be (S+8) years while his sister is S years.

S(S+8) = 105

S^2+8S-105 = 0

(S+15)(S-7) = 0

Sam’s sister is 7 years and Sam is 15 years old.

7 0

2 years ago

What Is area of this? (25 points for it pls I rlly need help)

tester [92]

Answer: 27.42 cm squared
explanation: separate the figure into three simple shapes (2 triangles, 1 rectangle)(picture of the three shapes attached)
solve for area of each shape
trangles: 1/2 x b x h
1/2 x 1.1 x 4.8 = 2.64
1/2 x 1.2 x 5.9 = 3.54
rectangle: l x w
3.6 x 5.9 = 21.24
finally, add all parts and you have your answer.
2.64 + 3.54 + 21.24 = 27.42

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3 years ago

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