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Mademuasel [1]
3 years ago
5

Complete the equation of the line through (3, -1) and (4, 7)​

Mathematics
1 answer:
nikitadnepr [17]3 years ago
4 0

Answer:

  y = 8x -25

Step-by-step explanation:

The two-point form of the equation of a line can be used.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (7-(-1))/(4-3)(x -3) +(-1)

  y = 8(x -3) -1

  y = 8x -25 . . . . slope-intercept form of the equation

_____

We don't know what you're starting with, so we don't know how to "complete the equation." Perhaps the above equation is sufficient for the task.

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A regular hexagon has an apothem measuring 14 cm and an approximate perimeter of 96 cm.
WINSTONCH [101]
Given:
hexagon
apothem of the hexagon: 14 cm
perimeter of the hexagon: 96 cm

Area of the hexagon = [(3√3) / 2] a²     ; where a is the measure of the side

hexagon has 6 sides.

Perimeter = 6a
96 cm = 6a
96 cm / 6 = a
16 = a

We can also use the area of a triangle to approximate the area of the hexagon. There are 6 triangles in the hexagon .

Area of a triangle = (height * base) / 2
A = (14 cm * 16 cm) / 2
A = 224 / 2 
A = 112 cm²

112 cm²  * 6 triangles = 672 cm²
4 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=3x%2B1" id="TexFormula1" title="3x+1" alt="3x+1" align="absmiddle" class="latex-formula"> the
kolbaska11 [484]

Answer: Slope: 3

<em>x-intercept(s):</em> (-\frac{1}{3} , 0)

<em>y-intercept(s):</em> (0,1)

8 0
2 years ago
What is the sum of 7/100 and 1/10
labwork [276]

Answer:

Step-by-step explanation:

To add fractions you need equal denominators

7/100+(1/10)(10/10)

7/100+10/100

17/100 (or 0.17 as a decimal)

8 0
3 years ago
Write the three questions for the pic thank you.
Galina-37 [17]
The area would be (x+3) (4x-1) which is 4x^2 +11x -3. The perimeter is 2(x+3) plus 2(4x-1) which is 2x +6 plus 8x-2 which is 10x +4. If x=7 then the perimeter is 74 ft.
5 0
3 years ago
Margaret uses a credit card with a 21.7% APR compounded monthly to pay for her car repairs totaling $692.77. She can pay $290 pe
igomit [66]

Answer:

B. $715.21

Step-by-step explanation:

Apparently, Margaret makes her first payment after she has incurred a finance charge on the amount.

At the end of the first month, the balance due is ...

... 692.77×(1 + 0.217/12) = 705.30

At the end of the second month, the balance due is ...

... (705.30 -290)×(1 +0.217/12) = 422.81

At the end of the third month, the balance due is ...

... (422.81 -290)×(1 +0.217/12) = 132.81

Margaret makes total payments of $290×2 +132.81 = $712.81

Of the choices listed, the best selection is ...

... B. $715.21

_____

<em>Comment on the answer choice</em>

The total $715.21 seems to also include a finance charge on the final payment amount. (It actually includes a charge on $132.72, which is slightly different from the final payment amount.) There will not be any such charge, so the <em>available answer choices are all in error</em>.

Actually, we expect the total cost to be closer to $702.25, because we expect that Margaret will make her first payment before any finance charges are incurred.

_____

You should ask your teacher to show you in detail how to work this problem.

3 0
3 years ago
Read 2 more answers
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