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2 years ago

What is the SLOPE of HI ? Justify your answer hurry PLEASE

Mathematics

1 answer:

PilotLPTM [1.2K]2 years ago

8 0

Step-by-step explanation:

since it is in the same line as DE, both have the same slope.

the slope is the ratio of "y coordinate change / x coordinate change" when going from one point on the line to another.

and so by using the coordinates of D and E

x changes by +4 (from 8 to 12).

y changes by -8 (from 32 to 24).

the slope is therefore

-8/+4 = -2

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Linear equation <br><br> 4.5 + 1.5y=24<br> x-y=4

WARRIOR [948]

4.5x + 1.5y = 24 ⇒ 4.5x + 1.5y = 24
1.0x - 1.0y = 4   ⇒<u> 4.5x - 4.5y = 18</u>
         <u>6y</u> = <u>6</u>
      6    6
       y = 1
   4.5x + 1.5(1) = 24
   4.5x + 1.5 = 24
   <u>    - 1.5 - 1.5</u>
      <u>4.5x</u> = <u>22.5</u>
   4.5 4.5
       x = 5
      (x, y) = (5, 1)

8 0

3 years ago

Simplifying Complex fractions using any method

zloy xaker [14]

Answer:

3ab

-------------------

(b+a)

Step-by-step explanation:

3/a - 3/b

-------------------

1/a^2 - 1/b^2

Multiply the top and bottom by a^2 b^2/ a^2/b^2 to clear the fractions

(3/a - 3/b) a^2 b^2

-------------------

(1/a^2 - 1/b^2) a^2b^2

3ab^2 - 3 a^2 b

-------------------

b^2 - a^2

Factor out 3ab on the top

3ab( b-a)

-------------------

b^2 - a^2

The bottom is the difference of squares

3ab( b-a)

-------------------

(b-a) (b+a)

Cancel like terms from the top and bottom

3ab

-------------------

(b+a)

6 0

2 years ago

Read 2 more answers

A circle with radius 3 has a sector with a central angle of 1/9 pi radians

marissa [1.9K]

Complete question:

A circle with radius 3 has a sector with a central angle of 1/9 pi radians

what is the area of the sector?

Answer:

The area of the sector = $\frac{\pi}{2}$ square units

Step-by-step explanation:

To find the area of the sector of a circle, let's use the formula:

$A = \frac{1}{2} r^2 \theta$

Where, A = area

r = radius = 3

$\theta = \frac{1}{9}\pi$

Substituting values in the formula, we have:

$A = \frac{1}{2}*3^2* \frac{1}{9}\pi$

$A = \frac{1}{2}*9* \frac{1}{9}\pi$

$A = 4.5 * \frac{1}{9}\pi$

$A = \frac{\pi}{2}$

The area of the sector = $\frac{\pi}{2}$ square units

8 0

3 years ago

PLZ SOLVE PIC ATTACHED BELOW

ludmilkaskok [199]

Answer:

$\tan(51°) = \frac{10}{x} \\x = \frac{10}{ \tan(51°) } \\ x = \frac{10}{1.235} \\ \boxed{ x = 8.1}$

<h3>★ Value of x is <u>8.1</u>.</h3>

$\sin(51°)= \frac{10}{H} \\ h = \frac{10}{ \sin(51°) } \\ H= \frac{10}{0.777} \\ \boxed{H= 12.8676}$

<h3>★ Value of H is <u>12.8676</u>.</h3>

Remember:

tan∅=Perpendicular/Base
sin∅=Perpendicular/Hypotenuse

4 0

2 years ago

The average cost of tuition and fees at a public four-year college in the United States can be molded by the following formula w

Rudik [331]

T=7556=165x+2771
we need to solve for x, number of years after 1996.
165x=7556-2771=4785
x=4785/165=29
It will be in year 1996+29=2025 that estimated fees and tuition average $7556

3 0

2 years ago