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3 years ago

Andrea’s work to find the equation of a trend line through the points (48, 61) and (72, 195) is shown below

2 answers:

4 0

The reasonable question of this incomplete problem is to find the equation for the trendline out of the given two points. Hence, we use the two-point formula of a line.

y - y₁ = [(y₂ - y₁)/(x₂- x₁)]*(x - x₁)

Let (48,61) be point 1, and (72,195) be point 2. Then,

y - 61 = [(195 - 61)/(72- 48)]*(x - 48)
y - 61 = (67/12)(x - 48)
12y - 732 = 67(x - 48)
12y - 732 = 67x - 3216
12y - 67x - 732 + 3216 = 0
12y - 67x +2484 = 0

Thus, the equation for the trendline is 12y - 67x +2484 = 0.

kiruha [24]3 years ago

3 0

A - Andrea used the reciprocal of the slope

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Measurement maths!! If good with area please help

Gennadij [26K]

Answer:

a. 15/2 or 7.5 sqcm

b. 20 sqcm

Step-by-step explanation:

Area of a triangle is (base × height)/2.

A = (5×3)/2

A = 15/2 = 7.5cm^2

The area of a parallelogram is just base × height, but yoy have to choose wisely what is the base and height. These two measurements must be perpendicular. So the 4 and 5 are perpendicular. We won't use the measurement 6cm at all.

Area = 4×5

Area = 20 sqcm

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2 years ago

50 POINTS!!! WILL MARK BRAINLIEST!!! CORRECT ANSWERS PLS 1 HOUR LEFT

Brut [27]

Answer:

○ 3

○ y + ½ = 3(x - 2)

○ Multiply both sides of the equation by 3. The Standard Form of the equation is 12x - 2y = 24.

○ 5x - 3y = 15

○ y = ½x + 5⁄2

Step-by-step explanation:

Find the rate of change [slope]:

-y₁ + y₂\-x₁ + x₂ = m → (-1, 1) and (-2, -2)

$\frac{2 + 1}{2 - 1} = 3$

__________________________________________________________

According to the Point-Slope Formula, y - y₁ = m(x - x₁), all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL inserting this coordinate into the formula with their CORRECT SIGNS:

(2, -½) → y + ½ = 3(x - 2)

__________________________________________________________

We do not want fractions in our Standard Equation, so multiply by the denominator to get rid of it:

-3[4x - ⅔y = 8] → -12x + 2y = -24

** They should have multiplied by -3 instead of 3 because that negative is hooked up to everything in the fraction, but since the exercise gave you 12x - 2y = 24, go with 12x - 2y = 24.

__________________________________________________________

If you would take a look at this graph real closely, you will see that this graph intersects the y-axis and x-axis at ENDPOINTS, so to find the x-intercept, you simply plug in zero for y: 5x = 15, and you will know right away that x is set to equal 3, which is what you see in the graph, (3, 0). Now, to find the y-intercept, you simply plug in zero for x: -3y = 15, and you will know right away that y is set to equal -5, which is what you see on the graph as well, (0, -5). With that being said, you have your answer.

__________________________________________________________

y - 3 = ½(x - 1)

y - 3 = ½x - ½

+ 3 + 3

_____________

y = ½x + 2½

* 2½ = 5⁄2

I am joyous to assist you anytime.

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3 years ago

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