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olga_2 [115]
3 years ago
8

What is the answer please

Mathematics
1 answer:
serg [7]3 years ago
4 0

Step-by-step explanation:

1a.\\ 8-y=2\qquad\text{subtract 8 from both sides}\\-y=-6\qquad\text{change the signs}\\\boxed{y=6}\\\\1b.\\11-9=2-b\\2=2-b\qquad\text{subtract 2 from both sides}\\0=-b\to \boxed{b=0}\\\\2a.\\5=\dfrac{c}{3}\qquad\text{multiply both sides by 3}\\15=c\to \boxed{c=15}\\\\2b.\\2=5-t\qquad\text{subtract 5 from both sides}\\-3=-t\qquad\text{change the signs}\\3=t\to\boxed{t=3}\\\\3a.\\5n=10\qquad\text{divide both sides by 5}\\\boxed{n=2}\\\\3b.\\a+6=12\qquad\text{subtract 6 from both sides}\\\boxed{a=6}

4a.\\v-10=7\qquad\text{add 10 to both sides}\\\boxed{v=17}\\\\4b.\\7=7n+7n\\7=14n\qquad\text{divide both sides by 14}\\\dfrac{7}{14}=n\\\boxed{n=\dfrac{1}{2}}\\\\5a.\\m+11=12\cdot4\\m+11=48\qquad\text{subtract 11 from both sides}\\\boxed{m=37}\\\\5b.\\6y=7+5\\6y=12\qquad\text{divide both sides by 6}\\\boxed{y=2}\\\\6a.\\b-8=3\qquad\text{add 8 to both sides}\\\boxed{b=11}\\\\6b.\\1+c=8\qquad\text{subtract 1 from both sides}\\\boxed{c=7}

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Step-by-step explanation:

Volume is length x width x height so
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A ramp 24 ft long rises to a platform that is 20 ft off the ground. find x , the angle of elevation of the ramp. round your answ
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What is the Pythagorean Theorem?

The PyTheorem states that -- actually, why not just simplify things and make it a formula?

a^{2} + b^{2} = c^{2}
where a and b are legs of a triangle and c is the hypotenuse of a triangle.

It is only true applying to right triangles.
Now what are the legs of a triangle? 
The sides that are NOT opposite the 90 degree angle! 

Now, all you have to do is find the LENGTHS of the three triangles!
Rise over run, remember?

Let's take the triangle in the top right of the coordinate plane for example.

A=(1,1)
B=(4,4)
unnamed point=(4,1)

Rise, or length of unnamed point to B?
(4,1) to (4,4)
(x,y), remember!
So? 4-1=3!

Run, or length of unnamed point to A?
(1,1) to (4,1)
Remember (x,y)?
So, 4-1=3!

The triangle has legs of 3 and 3.
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8 0
3 years ago
For what interval is the value of (f – g)(x) negative?
mrs_skeptik [129]

<u>Complete question:</u>

Refer the attached diagram

<u>Answer:</u>

In reference to the attached figure, (-∞, 2) is the value where (f-g) (x) negative.

<u>Step-by-step explanation:</u>

From the attached figure, it shows that given data:

f (x) = x – 3

g (x) = - 0.5 x

To Find: At what interval the value of (f-g) (x) negative

So, first we need to calculate the (f-g) (x)

(f – g ) (x) = f (x) – g (x) = x-3 - (- 0.5 x)

⇒ (f - g) (x) =1.5 x - 3

Now we are supposed to find the interval for which (f-g) (x) is negative.

⇒ (f - g) (x) = x - 3+ 0.5 x = 1.5 x – 3 < 0

⇒ 1.5 x – 3 < 0

⇒ 1.5 x < 3

⇒ x

⇒ x < 2

Thus for (f - g) (x) negative x must be less than 2. Thereby, the interval is (-∞, 2). Function is negative when graph line lies below the x - axis.

7 0
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