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Talja [164]
3 years ago
15

Need help please, keep getting different answers

Mathematics
1 answer:
natali 33 [55]3 years ago
5 0

Answer:

15

Step-by-step explanation:

If x is the shorter leg, then x + 5 is the longer leg, and 2x − 5 is the hypotenuse.

Using Pythagorean theorem:

c² = a² + b²

(2x − 5)² = x² + (x + 5)²

4x² − 20x + 25 = x² + x² + 10x + 25

4x² − 20x + 25 = 2x² + 10x + 25

2x² − 30x = 0

x² − 15x = 0

x (x − 15) = 0

x = 0 or 15

Since x can't be 0, x must be 15.

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The given line passes through the points (-4, -3) and (4,
drek231 [11]

Answer:

y = 2x + 11

Step-by-step explanation:

The first thing we need to do

is to find the slope of the line that passes through the points (-4,-3) and (4,1)

Mathematically, that would be;

m = y2-y1/(x2-x1)

where (x1,y1) = (-4,-3) and (x2,y2) = (4,1)

substituting these. values we have;

m = (1-(-3))/(4-(-4)) = 4/8 = 1/2 or 0.5

Now we are told this line is perpendicular to another line that passes through another point.

We can find the slope of this other line

Since both lines are perpendicular, the product of their slope is -1.

Thus , -0.5 * m = -1

m = -1/-0.5 = 2

So the slope of the other line is 2

Using the point-slope form;

y-y1= m(x-x1)

The point for the other line is (-4,3)

So the equation will be

y-3 = 2(x+4)

y-3 = 2x + 8

y = 2x + 11

8 0
2 years ago
You have 5/6 cup of cocoa in your cupboard. A recipe for cookies calls for 2/5 cup of cocoa. How much cocoa would you have left
bixtya [17]
5/6-2/5= 13/30 .........
7 0
2 years ago
6. Molly uses 192 beads to make a bracelet and
bogdanovich [222]

Answer:

1960

Step-by-step explanation: 192 x 5

3 0
2 years ago
If 97 of 200 is 100% then how much of 200 is 112%
pickupchik [31]
To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 112 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 112 is 100%, so we can write it down as 112=100%.
4. We know, that x is 200% of the output value, so we can write it down as x=200%.
5. Now we have two simple equations:
1) 112=100%
2) x=200%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
112/x=100%/200%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 200% of 112

112/x=100/200
(112/x)*x=(100/200)*x - we multiply both sides of the equation by x
112=0.5*x - we divide both sides of the equation by (0.5) to get x
112/0.5=x
224=x
x=224

now we have:
200% of 112=224



●I tried my best I was never good with percentages my least favorite.... Please let me know if you got it wrong. If you do I'm sorry.
3 0
3 years ago
A 12-foot ladder is leaning across a fence and is touching a higher wall located 3 feet behind the fence. The ladder makes an an
Svetllana [295]

Answer:

3 feet

Step-by-step explanation:

A 12-foot ladder is leaning across a fence and is touching a higher wall located 3 feet behind the fence. The ladder makes an angle of 60 degrees with the ground.

 ladder is 12 foot

The ladder makes an angle of 60 degrees with the ground.

It form a right angle triangle . ladder is the hypotenuse

cos(60)=\frac{x}{12}

0.5= \frac{x}{12}

multiply 12 on both sides

x= 6

the distance from the base of the ladder to the bottom of the fence

x-3 = 6-3=3 feet

7 0
3 years ago
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