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irinina [24]
3 years ago
7

Slope intercept form that passes through the given point and is parallel to the given line (2,-1) and y=2x+2

Mathematics
1 answer:
Luden [163]3 years ago
8 0

Answer:

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)

The equation of the given line is

y=2x+2

Comparing with the slope intercept form, slope = 2

If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (2,-1) is 2

To determine the intercept, we would substitute m = 2, x = 2 and y = -1 into y = mx + c. It becomes

- 1 = 2×2 + c = 4 + c

c = - 1 - 4 = - 5

The equation becomes

y = 2x - 5

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Type a number for the types of journals that will be available to you in the new lma
EastWind [94]

Answer:

Step-by-step explanation:

What are the 6 types of journals?

There are various types of journals including:

academic/scholarly journals.

trade journals.

current affairs/opinion magazines.

popular magazines.

newspapers.

8 0
2 years ago
Mia’s cell phone plan: $15 a month plus free texts plus $2.50 per GB of high-speed data. Mia used 3.8 GB and sent 110 texts. How
SashulF [63]
I’m not sure but u multiply 2.5 by 3.8 to get amount she has to pay for GB. Since it free texts so 2.5 • 3.8 = $9.5 plus $15 which give $24.5
I could be wrong..
7 0
3 years ago
Read 2 more answers
A dinner platter is in the shape of a regular decagon. The platter has an area of 161 square inches and a side length of 4.6 inc
8_murik_8 [283]
I think the answer is 2468.66666667 because 161 times 4.6 times 10 is 7406 and divided by 3 euals that.
6 0
3 years ago
Darryl left the White House and traveled toward the ferry office at an average speed of 25 mph. Some time later Jacob left trave
DanielleElmas [232]

Answer:

2 hours

Step-by-step explanation:

Given the following :

Darryl :

Speed = 25mph

Jacob:

Traveled in opposite direction

Speed = 35mph

After Darryl had traveled for 4 hours, Distance between them was 170 miles

Distance traveled by Darryl :

Speed * time = (25 * 4) = 100 miles

Total distance = distance traveled by Darryl + distance traveled by Jacob

170 miles = 100 miles + distance traveled by jacob

Distance traveled by Jacob = 170 - 100

Distance traveled by Jacob = 70 miles

Time = distance / speed

Time traveled by Jacob = 70 miles / 35mph

Time traveled by Jacob = 2 hours

3 0
3 years ago
The composite figure shown has a surface area of 844 square centimeters.
kolezko [41]

Given the surface area of the composite figure, the height of the rectangular prism is approximately 8 centimeters.

<h3>What is the height of the rectangular prism?</h3>

First we calculate the surface area of the rectangular pyramid;

S.A = lw + (1/2)w√(4h²+l²) + (1/2)l√(4h²+w²)

Given that;

  • w = 10cm
  • l = 18cm
  • h = 12cm

S.A = lw + (1/2)w√(4h²+l²) + (1/2)l√(4h²+w²)

S.A = (18cm×10cm) + (1/2)10cm√(4(12cm)²+18cm²) + (1/2)18cm√(4(12cm)²+(10cm)²)

S.A = (180cm²) + 5cm√(576cm² + 324cm²) + 9cm√(576² + 100cm²)

S.A = (180cm²) + 5cm(30cm) + 9cm(26cm)

S.A = 180cm² + 150cm² + 234cm²

S.A = 180cm² + 150cm² + 234cm²

S.A = 564cm²

Now, surface Area of the rectangular prism will be;

= Area of composite figure - surface area of the rectangular pyramid

= 1844cm² - 564cm²

= 1280cm²

Now surface area of rectangular prism is expressed as;

SA = 2lw + 2lh + 2hw

  • w = 10cm
  • l = 18cm
  • h = x

SA=2lw + 2lh + 2hw

SA - 2lw  =  h( 2l + 2w)

h = (SA - 2lw) / ( 2l + 2w)

h = (1280cm² - ( 2×18cm×10cm)) / ( 2×18cm + 2×10cm)

h = (1280cm² - 360cm²) / ( 36cm + 20cm)

h = 1020cm² / 56cm

h = 8cm

Given the surface area of the composite figure, the height of the rectangular prism is approximately 8 centimeters.

Learn more about Prism and Pyramid here: brainly.com/question/9796090

#SPJ1

8 0
1 year ago
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