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Law Incorporation [45]
3 years ago
6

What two numbers multiply to -105 and add to 8

Mathematics
1 answer:
jok3333 [9.3K]3 years ago
5 0
A b=-105  
a+b=8  
 x²+8x-105=0

x²+-7x+15x-105=0
x(x-7)+15(x-7)=0
(x-7)(x+15)=0     
a=-7
b=15
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14 goes into 28 2 times.
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Max and jack bought a large pizza and max ate 5/8 how much is left for jack
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Three pieces are left. Hope this helps!

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Students on the CARE Team are selling puppies, yes, puppies! They earn $0.40 on each puppy they sell. Their goal is to earn more
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0.4 x >= 327 Divide by 0.4
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3 years ago
Special right triangles.
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QUESTION 9

The given right angle triangle has its two legs equal to x\:cm and the hypotenuse is 2\:units.


Using the Pythagoras theorem, we have

x^2+x^2=2^2


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2x^2=2^2


2x^2=4


x^2=2


x=\sqrt{2}


x=1.414


x\approx1.4\:units


QUESTION 10


The given right angle triangle has its two legs equal to x\:units and the hypotenuse is 7\:units.


Using the Pythagoras theorem, we have

x^2+x^2=7^2


This implies that;

2x^2=7^2


2x^2=49


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x=\sqrt{24.5}



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QUESTION 11

Sam divided the square backyard into two sections along the 40ft diagonal.

Let one of the sides of the garden be x\:units, then the other side of the garden is also  x\:units since it was a square backyard.


The diagonal is the hypotenuse which is 40ft and the two legs are  x\:units each.


Applying the Pythagoras Theorem, we have;

x^2+x^2=40^2


2x^2=1600


x^2=800


\Rightarrow x=\sqrt{800}


\Rightarrow x=28.28


The length of one side of the garden is approximately 28cm.


QUESTION 12

The hypotenuse of Nicole's right triangular support is 92cm long.


It was given that the two lengths of the triangular support are of equal length.


Let the two lengths of the triangular support be l\:cm each.


We then apply the Pythagoras theorem to obtain;

l^2+l^2=92^2


\Rightarrow 2l^2=8464


\Rightarrow l^2=4232


\Rightarrow l=\sqrt{4232}


\Rightarrow l=65.05cm


Therefore Nicole needs l+l=65.05cm+65.05cm\approx130cm of wood to complete the support.

The correct answer is A.


QUESTION 13

A 45-45-90 triangle is an isosceles right triangle.


Let the length of the two legs be m\:inches each.

It was given that the hypotenuse of this triangle is 12\:inches.


Applying the Pythagoras Theorem, we have;

m^2+m^2=12^2


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QUESTIONS 14.

It was given that the distance from home plate to first base is 90 feet.


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Therefore the distance from home plate to second base is 127 ft to the nearest foot.


QUESTION 15.

The distance from third base to  first base is also 127 ft to the nearest foot.


The reason is that the  diagonals of a square are equal in length.


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Add or subtract. –29 + 40
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Answer: well, technically you add but.... the answer is 11. Since it's a negative, one way to find the answer is to subtract 40 from 29, which is 11.

Step-by-step explanation:

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