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3 years ago

For f (x)= -x + 8, what is the value of x for which f(x) = 9?

Mathematics

1 answer:

Elina [12.6K]3 years ago

8 0

Answer:

x=-1

Step-by-step explanation:

f (x)= -x + 8

Let f(x) = 9

9 = -x+8

Subtract 8 from each side

9-8 = -x+8-8

1 = -x

Multiply each side by -1

-1 = x

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please help with question 3, the diagram is in question 2, my teacher wasnt any help and I missed the lesson :/

quester [9]

Answer:

<2 = 116 degrees

Step-by-step explanation:

alright so if angle 1 is 64 and you need to find angle 2 you gotta think about whats similar between them. They're both on the same line(railroad) and a straight line is 180 degrees. So now with this info all u gotta do is subtract 180-64 to get 116

3 0

3 years ago

a triangular prism has an isosceles right triangular base with a hypotenuse of square root of 32 and a prism height of 12. a squ

omeli [17]

Answer:

The lengths of the sides of the square base are $2\sqrt{2}\ units$

Step-by-step explanation:

The correct question is

A triangular prism has an isosceles right triangular base with a hypotenuse of square root of 32 and a prism height of 12. a square prism has a height of 12 and its volume is equal to that of the triangular prism. what are the dimensions of the square base, in simplest radical form?

we know that

The volume of a prism is given by the formula

$V=Bh$

where

B is the area of the base

h is the height of the prism

If the volumes of the solids are the same and their heights are the same, then the area of the base of the triangular prism must be equal to the area of the base of the square prism

step 1

Find the area of the base of the triangular prism

Remember that in a right isosceles triangle, the two legs are equal

Let

x ---> the length side of each leg

Applying the Pythagorean Theorem

$(\sqrt{32})^2 =2x^2$

$x^2=32/2\\x^2=16\\x=4\ units$

The area of the triangular base is equal to

$A=\frac{1}{2}(4)(4)=8\ units^2$

step 2

Find the dimensions of base of the square prism

Let

b ---> the length side of the square base

The area of a square is given by the formula

$A=b^2$

we have

$A=8\ unit^2$ ----> is the same that the area of triangle

substitute

$8=b^2$

$b=2\sqrt{2}\ units$

therefore

The lengths of the sides of the square base are $2\sqrt{2}\ units$

3 0

4 years ago

The length of the base of a triangle is twice its height. if the area of the triangle is 44 square kilometers, find the height

xeze [42]

Let
$x$
be the height of the triangle.

Formular for area of Triangle
= ½ × base × height

thus,
${ \frac{1}{2} }(2x)(x)=44\ kilometers^2$

Simplifying
$x^2=44\ kilometers^2 \\\\ x= \sqrt{ 44 } \\\\ x=6.63\ kilometers$

3 0

3 years ago

Suppose you have a standard deck of 52 cards. What is the probability that if you select a card at random that it does not have

mr Goodwill [35]

0.92

Step-by-step explanation:

There are 4 cards in a deck of 52 cards that has a face value of 3. That means that the other 48 cards don't have a face value of 3. Therefore, the probability of picking a card of this deck that doesn't have a face value of 3 is

$P =\dfrac{48}{52} = 0.92$

4 0

3 years ago

Does someone know how to do this if you do can you please answer these questions thanks

svlad2 [7]

Question one is 3
Question two is 2
Question three is -4
Question four is -5/6
Question five is -2
Question six is 26
Question seven is 10 inches (you cube root 1000)
Hope this helps

5 0

4 years ago

Read 2 more answers