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r-ruslan [8.4K]
3 years ago
12

4. HM SENSE-MAKING

Mathematics
1 answer:
meriva3 years ago
7 0

Answer:

15x+55y+20

Step-by-step explanation:

mark me brainlest

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Which equation represents the line that is perpendicular to graph of 4x+3y=9 and passes through (-2,3)
goldfiish [28.3K]

4y = 3x + 18

Step-by-step explanation:

NOTE THAT A line that is perpendicular to another has a negative inverse of the slope of the other line. The products of their slopes, that is, is always -1

Therefore we can begin by finding the slope of this line defined by the function 4x+3y=9

3y = -4x + 9

y = -4/3 x + 9/3

y = -4/3 x + 3

The slope of the  perpendicular line is, therefore;

¾  - this is the negative inverse of -4/3

Now that we know the slope, we need to find the y-intercept. This is where x = 0 and the line meets the y-axis;

i.e (0, y)

The other given point, where the line crosses  is (-2, 3). Remember that to get the gradient we use the formula;

Gradient = Δ y / Δ x

¾ = (3 – y) / (-2 – 0)

¾ = (3 –y) / -2  

¾ * -2 = 3 – y

-3/2 = 3 – y

-3/2 – 3 = -y

9/2 = y           ←– This is the y-intercept

Remember the function of a straight line is given;

y = mx + c (m being slope and c being y-intercept)

y = 3/4 x + 9/2

4y = 3x + 18

Learn More:

brainly.com/question/2783474

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#LearnWithBrainly

6 0
3 years ago
Read 2 more answers
It’s pre algebra finding y axis help with slope
Assoli18 [71]
(0,-2) , good luck >>>>>>>>>
6 0
2 years ago
If an object is dropped from a height of 96ft, the function h(t) = -62 + 96 gives the height of the object after t seconds. When
Shalnov [3]

Answer:

Step-by-step explanation:Since we want to know how much time elapsed since the object was launched until it ht the ground. At the ground, the height is 0.

 

Therefore the equation  h(t) = 80t – 16t2 becomes 0= 80t – 16t2

 

Solving the equation for t gives  80t =16t2 or 16t=80 or t=5sec

 

The object hits the ground 5 seconds after it is launched.

7 0
3 years ago
A basketball player made 17 out of 20 free throws at practice.What percent of the free throws did the player miss?
morpeh [17]
The player missed 85% of the free throws
3 0
3 years ago
Read 2 more answers
The quotient below is shown without the decimal point. Use number sense to place the decimal point correctly.
katrin2010 [14]

Answer:

35.8

Step-by-step explanation:

                \frac{340.1}{9.5}  = 358

 We know that our answer can never be greater than 358 since the dividend

is 340.1 and the divisor is 9.5;

  Also,

  Both values are to one decimal places and we can use this to solve the problem;

  9 can divide 340 in about 37 place with a remainder of 7,

    So, it is appropriate to make the solution 35.8

5 0
2 years ago
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