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3 years ago

“Solve the equation. Determine if it is undefined or not.”

Mathematics

1 answer:

lozanna [386]3 years ago

8 0

Answer: a) No Solution

b) Infinite Solutions (All Real Numbers)

Step-by-step explanation:

4(g + 8) = 7 + 4g

4g + 32 = 7 + 4g distributed 4 into g + 8

32 = 7 subtracted 4g from both sides

Since the statement is false because 32 ≠ 7, then there is NO SOLUTION

-4(-5h - 4) = 2(10h + 8)

20h + 16 = 20h + 16 distributed

16 = 16 subtracted 20h from both sides

Since the statement is true because 16 = 16, then there are INFINITE SOLUTIONS so x can be all real numbers.

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Javier drove 45 miles, this represents 60% of his entire trip. What is the total number of miles in his trip

faust18 [17]

Ratio and proportion

45mi/60%=x miles/100%
cross multiply
60x=4500
x=75 miles

hope this helps

5 0

3 years ago

Read 2 more answers

What is the radius of a circle whose equation is x2 + y2 + 8x – 6y + 21 = 0?

s344n2d4d5 [400]

Answer:

2 units

Step-by-step explanation:

The given equation of the circle is:

$x^{2} + y^{2}+8x-6y+21=0$

The general equation of the circle is:

$x^{2} + y^{2}+2gx+2fy+c=0$

Comparing the given equation with the general equation we can say:

g = 4

f = -3

c = 21

The formula for radius of the circle is:

$radius=\sqrt{g^{2} +f^{2} -c }$

Using these values of the given circle, we get:

$radius=\sqrt{(4)^{2}+(-3)^{2}-21}\\\\radius=\sqrt{4}\\\\radius=2$

Therefore, the length of radius of the given circle is 2.

3 0

3 years ago

How do I find this help please

KIM [24]

Area of the sector = 1/2 * r^2 * theta where theta is the angle subtended by the arc at the center ( in radians)

In this case m < theta = 360 - 235 = 125 degrees or 2.182 radians

So, the area of shaded area = 1/2 * 20^2 * 2.182 = 436.4 in^2

8 0

3 years ago

LOTS OF POINTS!! A cyclist rides a 25 mile stretch of road at a constant speed. It takes her 90 minutes to ride the 25 miles . A

sattari [20]

25m/90minutes = .278 mile/minute

Divide 25/90 to get .278

Hope that helps

7 0

2 years ago

What is the direct variation between x and y when x=10 and y=250

ioda

You can use equations to describe the relationship between the two numbers.

x+240=y

y-240=x

7 0

3 years ago