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3 years ago

Write an equation in point-slope form for the line through the given point with the given slope.

Mathematics

1 answer:

Thepotemich [5.8K]3 years ago

3 0

Answer: A

Step-by-step explanation:

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Does anyone know how to do this

Scilla [17]

Answer:

$7 {x}^{2} + 28x - 35 = 0$

$7 {x}^{2} + 35x - 7x - 35 = 0$

$7x(x + 5) - 7(x + 5) = 0$

$(x + 5)(7x - 7) = 0$

$(x + 5)(x - 1) = 0$

3 0

3 years ago

Read 2 more answers

What are the coordinates of the circumcenter of this triangle?

Oduvanchick [21]

Answer:

The coordinates of the circumcenter of this triangle are (3,2)

Step-by-step explanation:

we know that

The circumcenter is the point where the perpendicular bisectors of a triangle intersect

we have the coordinates

$A(-2,5),B(-2,-1),C(8,-1)$

step 1

Find the midpoint AB

The formula to calculate the midpoint between two points is equal to

$M=(\frac{x1+x2}{2},\frac{y1+y2}{2})$

substitute the values

$M=(\frac{-2-2}{2},\frac{5-1}{2})$

$M_A_B=(-2,2)$

step 2

Find the equation of the line perpendicular to the segment AB that passes through the point (-2,2)

Is a horizontal line (parallel to the x-axis)

$y=2$ -----> equation A

step 3

Find the midpoint BC

The formula to calculate the midpoint between two points is equal to

$M=(\frac{x1+x2}{2},\frac{y1+y2}{2})$

substitute the values

$M=(\frac{-2+8}{2},\frac{-1-1}{2})$

$M_B_C=(3,-1)$

step 4

Find the equation of the line perpendicular to the segment BC that passes through the point (3,-1)

Is a vertical line (parallel to the y-axis)

$x=3$ -----> equation B

step 5

Find the circumcenter

The circumcenter is the intersection point between the equation A and equation B

$y=2$ -----> equation A

$x=3$ -----> equation B

The intersection point is (3,2)

therefore

The coordinates of the circumcenter of this triangle are (3,2)

3 0

3 years ago

What's 675890 in word form

Artist 52 [7]

<span>675890 is spelled six hundred and seventy-five thousand, eight hundred and ninety </span>

8 0

3 years ago

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How do I find the Area of a Cylinder

Mandarinka [93]

Answer:

A=2πrh+2πr^2

Step-by-step explanation:

6 0

3 years ago

A grocery store has 120 bottles of spring

notka56 [123]

Question:

A grocery store has 120 bottles of spring water in stock. The store orders bottles of spring water in cases of 24. The store wants to order enough cases of spring water so it has more than 500 bottles in stock. Which inequality best models this situation?

A. 24x + 120 > 500

B. 24x - 120 > 500

C. 24x + 500 > 120

D. 24(x+120) > 500

Answer:

Option A. 24x + 120 > 500 is the inequality that best models this situation.

Step-by-step explanation:

The Number of bottles of spring water in the stock = 120

Each case of the spring water bottles contains 24 bottles

The store wants to order enough cases of spring water so that it has over 500 bottles in stock.

So there are already 120 bottles in stock .

The store will order

24x +120 > 500

where x is the number of spring water bottle cases

5 0

3 years ago