Find the ordered pairs for the x- and y-intercepts of the equation 5x − 6y = 30 and select the appropriate option below. (5 points)

Answers

Answer 1

Answer: x intercepts is (6,0) and y intercepts is (0,-5)

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Find y when x=4 and z=15; if y varies jointly as x and z y=5 when z=8 and x=10A. Y=1/2.Y•12;15/4
B. Y=1/2. Y•15; 12/4
C. Y=1/16. Y•15; 15/4
D. Y=1/16. Y•2•15; 12/4

Answers

I think the answer to y when x=4 and z=15; if y varies jointly as x and z y=5 when z=8 and x=10 is B. Y=1/2. Y•15; 12/4.

Write the equation of the line with slope –2/3 that passes through the point (10, –4)

Answers

Answer: $y=-(2)/(3) x+(8)/(3)$

Step-by-step explanation:

The equation of the line goes as $y=mx+b$ , where m is slope and b is y-intercept. Since we are already given slope and a point (x,y), we can plug those values in and solve for b.

$-4=-(2)/(3) (10)+b$ [multiply]

$-4=-(20)/(3) +b$ [add both sides by 20/3]

$b=(8)/(3)$

Now, we can plug in all the values together to get $y=-(2)/(3) x+(8)/(3)$ .

Final answer:

The equation of the line with the slope -2/3 that passes through the point (10, -4) is y = -2/3x + 8/3.

Explanation:

The subject of this question is the equation of a straight line, specifically how to write the equation of a line with a given slope and passing through a specific point. Given the slope, m = -2/3, and the point P(10, -4), we can use the point-slope form of the line which is y - y1 = m(x - x1). Substituting the given values into the formula, we get y - (-4) = -2/3(x - 10). Simplifying this we get y + 4 = -2/3x + 20/3. Even further simplification leads to the equation of the line y = -2/3x + 20/3 - 12/3, finall getting y = -2/3x + 8/3.

Learn more about Equation of a Line here:

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∠C and ∠D are vertical angles with m∠C=−2x+90 and m∠D=x−30.

What is m∠D
?

Answers

As they are vertical angles, their magnitude will be equal.
-2x+90 = x-30
2x+x = 90+30
3x = 120
x = 120/3
x = 40

Now, m∠D = x-30 = 40-30 = 10

So, Your Final Answer would be 10 degrees.

Hope this helps!

Vertical angle are equal:
m∠C = m∠D
−2x+90 = x−30
Add 2x to both sides:
90 = 3x - 30
Add 30 to both side:
120 = 3x
Divide both sides by 3:
x = 40
Plugging in:
m∠D=x−30 = 40-30 = 10

The answer is m∠D = 10

A right rectangular prism has base dimensions of 3 inches by 12 inches and a height of 5 inches. An oblique rectangular prism has base dimensions of 4 inches by 9 inches and a height of 5 inches. Are the volumes the same?

Answers

a rectangular right prism area=legnth times width times height or base area times height

base=3 b y12, area=3 times 12=36
height=5
36 times 5=180

an oblique rectangular prism volume is the same as the right rectangular prism formula so
4 times 9 times 5=180

180=180
the volumes are the same

Need help with: A circle with radius of 9 sits inside a circle with radius of 11 What is the area of the shaded region? Round your final answer to the nearest hundredth.

Answers

see the picture attached to better understand the problem

we know that
area of a circle=pi*r²

area of the larger circle
r= 11 units
Area=pi*11²-----> 379.94 units ²

area of smaller circle
area=pi*9²-----> 254.34 units²

area of the shaded region=area larger circle-area smaller circle
so
area of the shaded region=379.94-254.34-----> 125.60 units²

the answer is
125.60 units²

The number of employees went from 7623 to 6824 what percent did this increase or decrease

Answers

Answer:

9.5% decrease

Step-by-step explanation:

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