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Lemur [1.5K]
3 years ago
14

Graph ​ y+6=45(x+3)y+6=45(x+3) ​.

Mathematics
1 answer:
Helen [10]3 years ago
5 0
Try using Mathway./com to get a proper graph fam.

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Find the area of quadrilateral ABCD in each case.<br> HElp PLEase ASAP
ahrayia [7]

<h2><u>PLEASE MARK BRAINLIEST!</u></h2>

Answer:

Let's see...

Step-by-step explanation:

*Note: we can't find the exact area of the shaded figure right off the bat, we have to find the area of a bigger figure and divide it by 2.

<h3>The coordinates of the bigger figure:</h3>

A = (0,0)

B' = (0,4)

C = (5,4)

D' = (5,0)

Note: the little [ ' ] next to the B and D indicate that it is not the same coordinate as B and D, just that those points would be the same as point B and D.

<h3>That being said, what is the area of the bigger figure?</h3>

A =  l * w

A = 4 * 5

A = 20 units²

<h3>Now, divide the Area by 2:</h3>

A = 20 ÷ 2

<em>A = 10 units²</em>

I hope this helps!

- sincerelynini

4 0
3 years ago
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When Ranim started karate, her highest kick went 110^\circ110 ∘ 110, degrees from the ground. Her instructor asked her to practi
gayaneshka [121]

Answer:

Step-by-step explanation:

155° - 110° = 45°

7 0
3 years ago
The diameter of a circle is 55 inches.
Galina-37 [17]
The radius would be 8.75
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On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 2) an
ExtremeBDS [4]

Answer:

y\geq x-2

x+2y

Step-by-step explanation:

step 1

<em>Find the equation of the first inequality</em>

Find the equation of the first solid line

we have the ordered pairs

(0,-2) and (2,0)

<u><em>Find the slope</em></u>

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

m=\frac{y2-y1}{x2-x1}

substitute the values

m=\frac{0+2}{2-0}

m=\frac{2}{2}

m=1

The equation in slope intercept form is equal to

y=mx+b

we have

m=1

b=-2 ---> the y-intercept is given

substitute

y=x-2

Remember that

Everything to the left of the solid line is shaded

so

The inequality is

y\geq x-2

step 2

<em>Find the equation of the second inequality</em>

Find the equation of the second dashed line

we have the ordered pairs

(0,2) and (4,0)

<u><em>Find the slope</em></u>

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

m=\frac{y2-y1}{x2-x1}

substitute the values

m=\frac{0-2}{4-0}

m=\frac{-2}{4}

m=-\frac{1}{2}

The equation in slope intercept form is equal to

y=mx+b

we have

m=-\frac{1}{2}

b=2 ---> the y-intercept is given

substitute

y=-\frac{1}{2}x+2

Remember that

Everything below and to the left of the line is shaded

so

The inequality is

y

Rewrite

Multiply by 2 both sides

2y

x+2y

therefore

The system of inequalities is

y\geq x-2

x+2y

see the attached figure to better understand the problem

5 0
4 years ago
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This is a proportion. What is the value of X?
Verizon [17]

Answer:

x = 15 or x = - \frac{2}{5}

Step-by-step explanation:

Cross- multiplying gives

(14x + 6)(17x + 5) = 9x(27x + 11) ( expanding factors )

238x² + 172x + 30 = 243x² + 99x

rearrange into standard form : ax² + bx + c = 0

5x² - 73x - 30 = 0 ← in standard form

consider the factors of the product 5 × - 30 = - 150 which sum to the coefficient of the x-term (- 73 )

the factors are - 75 and + 2

Use these factors to split the middle term

5x² - 75x + 2x - 30 = 0 ( factor by grouping )

5x(x - 15) + 2(x - 15) = 0 ← take out the factor (x - 15)

(x - 15)(5x + 2) = 0

equate each factor to zero and solve for x

x - 15 = 0 ⇒ x = 15

5x + 2 = 0 ⇒ x = - \frac{2}{5}


7 0
3 years ago
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