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3 years ago

Which of these numbers had exactly tow factors?

Mathematics

1 answer:

zvonat [6]3 years ago

4 0

Answer:

prime numbers only have two factors...

7 is the only prime in the list

Step-by-step explanation:

You might be interested in

Given trapezoid WXYZ, what is XY?

stepan [7]

Answer:

XY = 16 ft

Step-by-step explanation:

The mid segment DE is half the sum of the parallel bases, that is

$\frac{XY+WZ}{2}$ = 20 ( multiply both sides by 2 to clear the fraction )

XY + WZ = 40

XY + $\frac{3}{2}$ XY = 40 ( multiply through by 2 to clear the fraction )

2XY + 3XY = 80

5XY = 80 ( divide both sides by 5 )

XY = 16

8 0

3 years ago

Find the distance between C(-2,-6) and D(4, -3).

suter [353]

Answer:

3 $\sqrt{5}$

Step-by-step explanation:

Calculate the distance d using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = C(- 2, - 6) and (x₂, y₂ ) = D(4, - 3)

CD = $\sqrt{(4+2)^2+(-3+6)^2}$

= $\sqrt{6^2+3^2}$

= $\sqrt{36+9}$

= $\sqrt{45}$ = $\sqrt{9(5)}$ = 3 $\sqrt{5}$ ← exact value

7 0

3 years ago

Use synthetic division to find the quotient. PLZ HELP

melisa1 [442]

Answer:

$2x {}^{3} + {8x}^{2} - 6x - 31 + \frac{ - 128}{x - 4}$

Place the coefficients in the right place.

Answered by GAUTHMATH

6 0

3 years ago

How can you find the equation of a line that is parallel/perpendicular to a given line

alexdok [17]

In the Slope-Intercept Form, m is the slope and b is the y-intercept.

Finding The Equation of a Line Parallel to the Given Line: Let the given line be line a and the parallel line be line b.

1) Find the slope of line a.

Example: Line a --> $y = 5x + 2$ . The slope is 5.

2) Find the y-intercept of line b.

To do this, you need to be given the coordinates of a point located on line b.

Example: The slope is 5 and the point is (2, 3), use the Slope-Intercept Formula, $y=mx+b$ ---> $3 = 5(2) + b$ . Then you solve for b.

$3 = 5(2) + b$

$3 = 10 + b$

$3 - 10 = 10 - 10 + b$

$-7 = b$ $b=-7$

The y-intercept of line b is -7

3) Finally, plugin the slope and the y-intercept into the Slope-Intercept Form.

Example: The slope of line b is 5 and the y-intercept is -7. The equation of line b is $y = 5x - 7$ .

Finding The Equation of a Line Perpendicular to The Given Line: Let the given line be line a and the perpendicular line be line b.

1) Find the opposite reciprocal of the slope of line a.

Example: Line a --> $y=5x+2$ . The slope is 5, to find the opposite reciprocal of the slope you use n --> $-\frac{1}{n}$ . In this case, it would be $-\frac{1}{5}$ . The opposite reciprocal of the slope of line a is $-\frac{1}{5}$ , which would be the slope of line b.

2) Find the y-intercept of line b.

To do this, you need to be given the coordinates of the point where line a and line b both intersect.

Example: The slope of line b is $-\frac{1}{5}$ and the point is (1, 7), use the Slope-Intercept Formula, $y=mx+b$ ---> $7=-\frac{1}{5}(1) + b$ . Then you solve for b.