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natali 33 [55]
2 years ago
12

Help me with this question!!

Mathematics
1 answer:
laila [671]2 years ago
7 0

Answer:

(-4, 2.5)

Step-by-step explanation:

that's where they intersect

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The longer leg of a right triangle is 7 ft longer than the shorter leg. The hypotenuse is 9ft longer than the shorter leg. Find
julia-pushkina [17]

Answer:

8, 15 and 17 feet respectively

Step-by-step explanation:

Let the shorter leg=l feet

The longer leg of a right triangle is 7 ft longer than the shorter leg, therefore Length of the longer leg=(l+7) feet

The hypotenuse is 9ft longer than the shorter leg. Therefore Length of the hypotenuse=(l+9) feet

Using Pythagoras Theorem

Hyp^2=Opp^2+Adj^2\\(l+9)^2=l^2+(l+7)^2\\(l+9)(l+9)=l^2+(l+7)(l+7)\\l^2+9l+9l+81=l^2+l^2+7l+7l+49\\l^2+18l+81=2l^2+14l+49

This results into:

2l^2-l^2+14l-18l-81+49=0

l^2-4l-32=0\\l^2-8l+4l-32=0\\l(l-8)+4(l-8)=0\\(l-8)(l+4)=0

l-8=0 or l+4=0

l=8 or -4

Since length cannot be negative, The length l=8 feet

The sides of the rectangle are therefore: 8, 15 and 17 feet respectively

5 0
3 years ago
What is 0.947 founded to the nearest tenth
san4es73 [151]
0.9 is the answer to this simple question

7 0
3 years ago
Jill earned 40$ from a carpool plus 9$ per hour (h) babysitting this week. turn into an Expression
nadya68 [22]

Answer:

9h + 40

Step-by-step explanation:

You use 9h, because you don't know how many hours Jill worked, she already had 40$ so 40 is the constant.

7 0
3 years ago
Hello please help i’ll give brainliest
malfutka [58]

Answer: ormally stated, Newton's third law is: For every action, there is an equal and opposite reaction

Step-by-step explanation: The statement means that in every interaction, there is a pair of forces acting on the two interacting objects. The size of the forces on the first object equals the size of the force on the second object.

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3 years ago
Can someone solve these inequalities?
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1. x is greater than/equal to -8
2. x is less than/equal to 7.5 or 15/2
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3 years ago
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