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3 years ago

What is the y-intercept of the line with the equation y=1/2x-3/2? What is the slope of this line?

Mathematics

1 answer:

Mademuasel [1]3 years ago

4 0

Answer:

Y intercept= -3/2, Slope is 1/2

Step-by-step explanation:

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Straight angles Are extremely important in geometry. When two lines intersect , they form multiple angles. In the diagram below,

rusak2 [61]

When two straight lines intersect, the vertical opposite angles intersect. the other two angles are also equal. Let the known angle be x, then the other two adjacent angles are obtained subtracting twice of x from 360 and dividing the result by 2.

Therefore, the table can by filled as follows:

Row 1:

Given <GEF = 120°

<FEM is adjacent to <GEF, thus
$\angle FEM= \frac{360-2(120)}{2} \\ \\ = \frac{360-240}{2} = \frac{120}{2} =60^o$

<MEH is vertically opposite to <GEF and thus is equal to <GEF. Thus <MEH = 120°

<HEG is vertically opposite to <FEM and thus is equal to <FEM. Thus <HEG = 60°.

Row 2:

Given <MEH = 150°

<MEH is vertically opposite to <GEF and thus is equal to <GEF. Thus <GEF = 150°

<FEM is adjacent to <GEF, thus
$\angle GEF= \frac{360-2(25)}{2} \\ \\ = \frac{360-50}{2} = \frac{310}{2} =155^o$

<HEG is vertically opposite to <FEM and thus is equal to <FEM. Thus <HEG = 30°.

Row 3:

Given that <FEM = 25°

<FEM is adjacent to <GEF, thus
$\angle GEF= \frac{360-2(25)}{2} \\ \\ = \frac{360-50}{2} = \frac{310}{2} =155^o$

<MEH is vertically opposite to <GEF and thus is equal to <GEF. Thus <GEF = 155°

<HEG is vertically opposite to <FEM and thus is equal to <FEM. Thus <HEG = 25°.

Row 4:

Given that <HEG = 45°

<HEG is adjacent to <GEF, thus
$\angle GEF= \frac{360-2(45)}{2} \\ \\ = \frac{360-90}{2} = \frac{270}{2} =135^o$

<HEG is vertically opposite to <FEM and thus is equal to <FEM. Thus <FEM = 45°

<MEH is vertically opposite to <GEF and thus is equal to <GEF. Thus <GEF = 135°.

4 0

3 years ago

Read 2 more answers

According to the data reported by the New York State Department of Health regarding West Nile Virus for the years 2000-2004, the

hjlf

Answer:

31 human cases.

Step-by-step explanation:

The least squares line equation for the number of reported dead birds (x), versus the number of human West Nile virus cases (y) is

y = -10.2638 + 0.0491x

If the number dead birds reported in a year is 844, then we have to find the numbers of human cases of West Nile virus.

To find the numbers we will plug in the value of x = 844 in the linear equation.

y = -10.2638 + 0.0491(844)

= -10.2638 + 41.4404

= 31.1766

≈ 31

Therefore, 31 human cases can be expected.

8 0

3 years ago

11) Given that the points (-1, 6), (3, 6), (3, 1), and (-1, 1) are vertices of a rectangle, how much shorter is the width than t

quester [9]

-1 unit is the correct answer.

5 0

3 years ago

«<br> In simplified form, V18 is _

zysi [14]

Answer:

3V2

Step-by-step explanation:

V18

V9 times 2 equals 18

V3 to the second power because 3 times 3=9 so we get 3V2

6 0

3 years ago

What is the measure of Zx ?<br> 60°<br> 75<br> 20°

uysha [10]

Answer:

135°

Step-by-step explanation:

angle x spans throughout two angles, 75° and 60°, so it is the sum of the two. It could not be any of the answers you gave.

5 0

2 years ago