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3 years ago

The equation y = 2x + 1 is changed to y = 2x - 1. How does this change the graph of the line?

2 answers:

7 0

Y = 2x + 1
y = 2x - 1

so the 1st one has a y int of 1 and the second one has a y int of -1...so the original line will shift down 2 units

Mademuasel [1]3 years ago

7 0

Answer:

D) The original line will shift down 2 units.

Step-by-step explanation:

The rate of changes [slopes] remain the same [2], so all you need to do is figure out how much far $\displaystyle [0, 1]$ is from $\displaystyle [0, -1],$ and that would be two units:

$\displaystyle -1 + 2 = 1$

I am joyous to assist you anytime.

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brilliants [131]

Same thing as what you did on the bottom. Find numbers with both 7 as the base and numbers that add to 14 on the top. Possibilities:
1) 7^10•7^4
2)7^6•7^8
37^2•7^12

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3 years ago

in the figure below trianglePQM and triangleQRP are right triangles. the measure of lineQM is 6 and the measure of lineQP is 8.

Kipish [7]

Answer:

Option 4 is correct. The length of PR is 6.4 units.

Step-by-step explanation:

From the given figure it is noticed that the triangle PQR and triangle MQR.

Let the length of PR be x.

Pythagoras formula

$hypotenuse^2=base^2+perpendicular^2$

Use pythagoras formula for triangle PQM.

$PM^2=QM^2+PQ^2$

$PM^2=(6)^2+(8)^2$

$PM^2=36+64$

$PM^2=100$

$PM=10$

The value of PM is 10. The length of PR is x, so the length of MR is (10-x).

Use pythagoras formula for triangle PQR.

$PQ^2=QR^2+PR^2$

$(8)^2=QR^2+x^2$

$64-x^2=QR^2$ .....(1)

Use pythagoras formula for triangle MQR.

$MQ^2=QR^2+MR^2$

$(6)^2=QR^2+(10-x)^2$

$36=QR^2+x^2-20x+100$

$36-x^2+20x-100=QR^2$ .... (2)

From equation (1) and (2) we get

$36-x^2+20x-100=64-x^2$

$20x-64=64$

$20x=128$

$x=6.4$

Therefore length of PR is 6.4 units and option 4 is correct.

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3 years ago

Write 675,000,000 in scientific notation.

Lostsunrise [7]

Answer:

= 6.75 × 10^8

Step-by-step explanation:

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3 years ago

A water truck is filling a swimming pool. The equation that represents this

Luda [366]

Answer:

a. false

b. true

c. true

d. true

e. false

Step-by-step explanation:

a. False. The "unit rate" is 19.75 gallons per minute. The "unit" of a "unit rate" is in the denominator. Here, the denominator of the rate is 1 minute.

b. True. A graph of a proportional relationship is a straight line through the origin.

c. True. In 5 minutes, the water in the pool will increase by 98.75 gallons, about 100 gallons.

d. True. The ratio of a y-value to an x-value will always be 19.75. That is the meaning of this proportional relationship.

e. False. The points (8, 158) or (7.5949, 150) will be on the graph. The point (8, 150) will not.

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3 years ago

1410+0515 in milartary time

OLEGan [10]

That would be 1925 ( 15 + 05 = 19 and 10 + 15 = 25)

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3 years ago

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