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Burka [1]
3 years ago
5

Write a function in the form y=mx+b for the line that contains the points (-6.4, -2.6) and (5.2, 9)

Mathematics
1 answer:
allsm [11]3 years ago
7 0
First solve for the slope, m using the two points given. It doesn't matter which point you choose as point 1 or 2 as long as you're consistent.

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

point 1: (–6.4, –2.6)

point 2: (5.2, 9)

m = (9 - -2.6)/(5.2 - -6.4)
m = (9 + 2.6)/(5.2 + 6.4)
m = 11.6/11.6
m = 1

put the newly found slope into the linear equation for m

y = (1)x + b
y = x + b

Now solve for the y-intercept, b
by putting one of the given points

9 = 5.2 + b

b = 9 - 5.2
b = 3.8

final equation:

y = x + 3.8
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8. Which of these is not an integer 6 6 A 3 C E 3
Mnenie [13.5K]
An integer is a whole number. 

The answer isn't A, because 6/3=2 and 2 is a whole number.

The answer isn't C, because 6/2=3, and 3 is a whole number.

The answer therefore has to be B, because 3/6=1/2 and 1/2 isn't a whole number or an integer. 
6 0
3 years ago
Quadrilateral ABCD with vertices A(0, 6), B(-3, -6), C(-9, -6), and D(-12, -3): a) dilation with scale factor of 1/3 centered at
Oksanka [162]

a) The points of the new quadrillateral are A'(x,y) = (0, 2), B'(x,y) = (-1, -2), C'(x,y) = \left(-3,-2\right) and D'(x,y) = (-4, -1), respectively.

b) The points of the new quadrillateral are A'(x,y) = (-5, 5), B'(x,y) = (-8,-7), C'(x,y) = (-13, -7) and D'(x,y) = (-17, -4), respectively.

<h3>How to perform transformations with points</h3>

a) A dillation centered at the origin is defined by following operation:

P'(x,y) = k\cdot P(x,y) (1)

Where:

  • P(x,y) - Original point
  • P'(x,y) - Dilated point.

If we know that k = \frac{1}{3}, A(x,y) = (0,6), B(x,y) = (-3,-6), C(x,y) = (-9, -6) and D(x,y) = (-12, -3), then the new points of the quadrilateral are:

A'(x,y) = \frac{1}{3}\cdot (0,6)

A'(x,y) = (0, 2)

B'(x,y) = \frac{1}{3} \cdot (-3,-6)

B'(x,y) = (-1, -2)

C'(x,y) = \frac{1}{3}\cdot (-9,-6)

C'(x,y) = \left(-3,-2\right)

D'(x,y) = \frac{1}{3}\cdot (-12,-3)

D'(x,y) = (-4, -1)

The points of the new quadrillateral are A'(x,y) = (0, 2), B'(x,y) = (-1, -2), C'(x,y) = \left(-3,-2\right) and D'(x,y) = (-4, -1), respectively. \blacksquare

b) A translation along a vector is defined by following operation:

P'(x,y) = P(x,y) +T(x,y) (2)

Where T(x,y) is the transformation vector.

If we know that T(x,y) = (-5,-1), A(x,y) = (0,6), B(x,y) = (-3,-6), C(x,y) = (-9, -6) and D(x,y) = (-12, -3),

A'(x,y) = (0,6) + (-5, -1)

A'(x,y) = (-5, 5)

B'(x,y) = (-3, -6) + (-5, -1)

B'(x,y) = (-8,-7)

C'(x,y) = (-9, -6) + (-5, -1)

C'(x,y) = (-13, -7)

D'(x,y) = (-12,-3)+(-5,-1)

D'(x,y) = (-17, -4)

The points of the new quadrillateral are A'(x,y) = (-5, 5), B'(x,y) = (-8,-7), C'(x,y) = (-13, -7) and D'(x,y) = (-17, -4), respectively. \blacksquare

To learn more on transformation rules, we kindly invite to check this verified question: brainly.com/question/4801277

7 0
2 years ago
It takes olivia 30 seconds to count to 25 how many minutes will it take Olivia to count to 300
harina [27]

Answer:

I believe it is 6 minutes

6 0
3 years ago
Read 2 more answers
Luis has saved $14 for a skateboard that costs $52. He can use the equation 14+m=52 to find how much more money m he needs. How
emmasim [6.3K]

Answer:


Step-by-step explanation:

To solve this you just do 14 - 52 then you get 38. Make sure to check your work. 38 + 14 = 52.

7 0
3 years ago
Read 2 more answers
Help me asap ok thanks
Gre4nikov [31]

Answer: total profit = $418

======================================================

Work Shown:

June

Income = (4 lawns)*($27 per lawn) = $108

Expenses = ($32 for gas)+($12 for trim line) = $44

Profit = income - expenses = 108-44 = $64

----------------------------

July

Income = (12 lawns)*($20 per lawn) = $240

Expenses = ($89 for gas)+($29 for blade sharpening) = $118

Profit = income - expenses = 240 - 89 = $151

----------------------------

August

Income = (16 lawns)*($20 per lawn) = $320

Expenses = ($101 for gas)+($16 for oil) = $117

Profit = income - expenses = 320-117 = $203

----------------------------

Total profit = (june profit)+(july profit)+(august profit)

Total profit = (64) + (151) + (203)

Total profit = $418

If the final result was negative, then we would call this a loss. However, we have a positive value, so we go with a profit.

8 0
3 years ago
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