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2 years ago

9

What is the equation of a line parallel to y=-4x-7 that passes through 2,29

1 answer:

Elena-2011 [213]2 years ago

6 0

Parallel means the slopes are equal, so -4 stays the same, and for the line to fall on (2,29) the y int must be 37.

so, answer: y=-4x+37

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To eliminate the y terms, you can multiply the first equation by 5 and the second equation by what number?

gladu [14]

Step-by-step explanation:

the second equation should be multiplied by 9

6 0

2 years ago

Tell if each is an arithmetic sequence. If it is, give the common difference.

taurus [48]

Answers:

5.) Yes it is, you add each one to itself to get the next number

6.) Yes, you subtract 5 from each number

7.) yes, you add 1.50 to each number

8.) Yes, you add 50 to each number

9.) No, they do not follow a pattern

10) Yes, you divide by 5 every time.

5 0

1 year ago

Find the missing lengths: LK=15 and KH=9, find KI and HI.

Luda [366]

Answer:

KI=11.25 and HI=6.75

Step-by-step explanation:

Consider the below figure attached with this question.

According to Pythagoras Theorem:

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

Use Pythagoras in triangle HKL

$LH^2+KH^2=LK^2$

$(LH)^2+9^2=15^2$

$(LH)^2+81=225$

$(LH)^2=144$

Taking square root on both sides.

$LH=12$

Let length of HI be x.

LI = 12+x

Use Pythagoras theorem in ΔKLI,

$(KI)^2+15^2=(12+x)^2$

$(KI)^2+225=x^2+24x+144$

$(KI)^2=x^2+24x+144-225$

$(KI)^2=x^2+24x-81...(1)$

Use Pythagoras theorem in ΔHKI,

$(KI)^2=x^2+9^2$

$(KI)^2=x^2+81...(2)$

From (1) and (2) we get

$x^2+81=x^2+24x-81$

$24x=162$

$x=\dfrac{162}{24}=6.75$

Hence, the measure of HI is 6.75 units.

Substitute x=6.75 in equation (2).

$(KI)^2=(6.75)^2+81$

$(KI)^2=126.5625$

Taking square root on both sides.

$KI=\sqrt{126.5625}$

$KI=11.25$

Hence, the measure of KI is 11.25 units.

3 0

3 years ago

2.0 Is 10 times as much as

STALIN [3.7K]

Answer:

0.2

Step-by-step explanation:

2/10=0.2

4 0

1 year ago

to convert feet per minute to inches per second which of the following conversion factors would be used select all that apply

Arisa [49]

1 feet = 12 inches

1 min = 60 s

1 feet/min = 12 in/60 s = 1 in/5 s = 0.2 in/s

7 0

3 years ago