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3 years ago

line AB passes through points A(-6,6) and B(12,3) if the equation of the line is written in slope intercept form

1 answer:

7 0

Y=(-1/6)x+5
m=(y2-y1)/(x2-x1)
m=(3-6)/(12-(-6))
m=(-3)/(18)
m=-1/6
y=mx+b
y=(-1/6)x+b
6=(-1/6)(-6)+b
6=1+b
b=5
y=(-1/6)x+5

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Given: Angle 2 is 65 degrees. What is the angle measurement of Angle 4. Explain the angle relationship used and show your work.

lesya [120]

Answer:

$\angle 4 = 115^{\circ}$

$\angle 3 = 65^{\circ}$

$\angle 7 = 65^{\circ}$

Step-by-step explanation:

Given

$\angle 2 = 65^{\circ}$

See attachment

Solving (a): $\angle 4$

To solve for $\angle 4$ , we make use of:

$\angle 2 +\angle 4 = 180^{\circ}$

The relationship between both angles is that they are complementary angles

Make $\angle 4$ the subject

$\angle 4 = 180^{\circ} - \angle 2$

Substitute $65^{\circ}$ for $\angle 2$

$\angle 4 = 180^{\circ} - 65^{\circ}$

$\angle 4 = 115^{\circ}$

Solving (b): $\angle 3$

To solve for $\angle 3$ , we make use of:

$\angle 3 =\angle 2$

The relationship between both angles is that they are complementary angles

$\angle 3 = 65^{\circ}$

Solving (c): $\angle 7$

To solve for $\angle 7$ , we make use of:

$\angle 7 = \angle 3$

The relationship between both angles is that they are alternate exterior angles.

So:

$\angle 7 = 65^{\circ}$

7 0

3 years ago

The reciprocal of6 4/5 is ____.<br>

andre [41]

Answer:

5/34

Step-by-step explanation:

6 4/5 = 34 /5

how I got 34 just 6*5+4 = 34

then the reciprocal = (34/5)^-1 = 5/34

7 0

3 years ago

Tina has an old fish tank in the shape of a circular cylinder. The tank is 2 feet in diameter and 6 feet high. How many cubic fe

yanalaym [24]

Answer:

The tank can hold 18.84 cubic feet

Step-by-step explanation:

Given

Shape: Cylinder

$D = 2ft$ -- Diameter

$H = 6ft$ -- Height

Required

Determine the volume

First, calculate the radius (r)

$r = \frac{1}{2}D$

$r = \frac{1}{2}*2ft$

$r = 1ft$

The volume (V) of the tank is:

$V = \pi r^2h$

Substitute values for r and h

$V = 3.14 *1^2*6$

$V = 3.14 *1*6$

$V = 18.84$

<em>Hence, the tank can hold 18.84 cubic feet</em>

4 0

3 years ago

Maria Fernandez paid monthly electric bills of $51.72, $47.75, and

Tresset [83]

Answer:

She is over the budget.

She is $308.04 over the budget.

Step-by-step explanation:

$51.72 + $47.75 + $53.21 = $152.68

For the 3 months

$152.68×3 = $458.04

458.04-150.00= 308.04

8 0

3 years ago

If x > 2, find lx-2l<br><br> Help pleaseee

Lyrx [107]

<h3>Answer: x-2</h3>

Explanation:

If x > 2, then x-2 > 0 after subtracting 2 from both sides.

Since x-2 is always positive when x > 2, this means the absolute value bars around the x-2 aren't needed. The results of |x-2| and x-2 are perfectly identical.

For example, if we tried something like x = 5, then

x-2 = 5-2 = 3
|x-2| = |5-2| = |3| = 3

Both outcomes are 3. I'll let you try other x inputs.

So because |x-2| and x-2 are identical, this means |x-2| = x-2 for all x > 2.

In short, we just erase the absolute value bars.

8 0

2 years ago