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sergij07 [2.7K]
3 years ago
13

(-2,0) And (a,3) Slope 3/8

Mathematics
1 answer:
UkoKoshka [18]3 years ago
3 0

Answer:

a= 6

Step-by-step explanation:

slope = (y2 - y1)/(x2 - x1)

3/8 = (3 - 0)/(a - (-2))

cross multiplying,

3(a + 2) = 3(8)

3a + 6 = 24

3a = 18

a = 18/3

a = 6

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The answer to this question is 14 degrees Fahrenheit.
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3 years ago
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Which shows the phrase "the product of a number and 3" as a variable expression?
JulijaS [17]

The algebraic expression for the word phrase "the product of a number and 3" as a variable expression is 3z

<h3>How to write an algebraic expression for the word phrase "the product of a number and 3" as a variable expression?</h3>

The word phrase is given as:

"the product of a number and 3"

Represent the number with z

So, the word phrase can be rewritten as:

"the product of a number z and 3"

The product of a number z and 3 is represented as:

z * 3

When evaluated,, the expression becomes

z * 3 = 3z

Hence, the algebraic expression for the word phrase "the product of a number and 3" as a variable expression is 3z

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3 0
1 year ago
rock is thrown upward with a velocity of 27 meters per second from the top of a 23 meter high cliff and it misses the cliff on t
ahrayia [7]

the rock will be at 11 meters from the ground level after 5.92 seconds

Step-by-step explanation:

The motion of the rock is a free-fall motion, since the rock is acted upon the force of gravity only. Therefore, it is a uniformly accelerated motion, so its position at time t is given by the equation:

y=h+ut+\frac{1}{2}at^2

where

h = 23 m is the initial height

u = 27 m/s is the initial velocity, upward

a=g=-9.8 m/s^2 is the acceleration of gravity, downward

t is the time

We want to find the time t at which the position of the rock is

y = 11 m

Substituting and re-arranging the equation, we find

11=23+27t-4.9t^2\\4.9t^2-27t-12=0

This is a second-order equation, which has solutions:

t=\frac{27\pm \sqrt{(-27)^2-4(4.9)(-12)}}{2(4.9)}=\frac{27\pm \sqrt{964.2}}{9.8}

So

t_1 = -0.41 s

t_2=5.92 s

The first solution is negative so we neglect it: therefore, the rock will be at 11 meters from the ground level after 5.92 seconds.

Learn more about free fall:

brainly.com/question/1748290

brainly.com/question/11042118

brainly.com/question/2455974

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8 0
3 years ago
A. Write the given equation in standard form.8x+3y+6=0
Vikki [24]

Answer:

8x+3y=-6

Step-by-step explanation:

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2 years ago
Gabriella has a loyalty card good for a discount at her local hardware store. The item she wants to buy is priced at $34, before
exis [7]

Answer:

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Step-by-step explanation:

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