MATHEMATICS HIGH SCHOOL

Please help me with this problem

Answers

Answer 1

Answer:

Answer:

domain: [0, 7]
range: [-2, 4]
is a function? YES

Step-by-step explanation:

The domain is the horizontal extent, which is from x=0 to x=7.

The range is the vertical extent, which is from y=-2 to y=4.

The curve passes the vertical line test, so the relation IS A FUNCTION.

_____

The vertical line test asks whether any vertical line intersects the curve at more than one point. If so, the relation is NOT a function.

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Which of the the following could be the ratio between the lengths of the two legs of a 30-60-90?Check all that apply. (A)Sqrt2:Sqrt3 (B)1:Sqrt2 (c)Sqrt2:Sqrt2 (D)2Sqrt3:Sqrt6 (E)1:Sqrt3 (F)Sqrt3:Sqrt3

Answers

This is worth remembering:

In a 30-60-right triangle,
-- the side opposite the 30 is 1/2 the hypotenuse
-- the side opposite the 60 is (1/2 the hypotenuse) times (square root of 3).

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I believe Choice-'E' is the only one you could make with the above rule.

$(a)/(a √(3) ) = (1)/( √(3) ) \ \ \ \Rightarrow\ \ \ Ans.\ E\n\n(2a)/(a √(3) ) = (2)/( √(3) )=(2\cdot √(2) )/( √(3)\cdot √(2) )=(2 √(2) )/( √(6) ) \neq (2 √(3) )/( √(6) ) \n\n (a)/(2a ) = (1)/( 2 )$

Which expression(s) represent a total gain of $70? Select all that apply100 + (-30)
-20 + (-50)
20 + (50)
50 - (-20)
-30 - (-100)
-70
70

Which ones apply please help!

Answers

The answer :
20 + (50) = 70
50-(-20) = 70
70 = 70

If the ones digit of a number greater than 1 is 0,what factor or factors must that number have

Answers

If the units digit is zero, then you have an even number ...
' 2 ' must be one of its factors.

It must also have two or more places ... it's greater than 9.
If it had only one place, and its units digit were zero, then
the whole thing would be zero.

Since it has two or more places, 5 and 10 are also factors.

How to change 50/12 to a mixed number?

Answers

A mixed number is one that has an integer along with a proper fraction, so that would be (for this improper fraction):

50/12 = 4 1/6

12 goes into 50, 4 times with a remainder of 2

you get: 4 and 2/12, but 2/12 can be reduced further to 1/6

so that's how i got the answer of 4 1/6

Can anyone answer for me?

Answers

Answer:

x = 15; y = 8; m<Q = 83

Step-by-step explanation:

2x + 7 = x + 22

x + 7 = 22

x = 15

8y - 4 = 4y + 28

4y - 4 = 28

4y = 32

y = 8

2x + 7 + 8y - 4 + m<Q = 180

2(15) + 7 + 8(8) - 4 + m<Q = 180

30 + 7 + 64 - 4 + m<Q = 180

m<Q + 97 = 180

m<Q = 83

Complete the equation of the line through ( − 8 , 8 ) and ( 1 ,− 10 ). Use exact numbers.

Answers

$(\stackrel{x_1}{-8}~,~\stackrel{y_1}{8})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{-10}) \n\n\n \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-10}-\stackrel{y1}{8}}}{\underset{\textit{\large run}} {\underset{x_2}{1}-\underset{x_1}{(-8)}}} \implies \cfrac{ -18 }{1 +8} \implies \cfrac{ -18 }{ 9 } \implies -2$

$\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\n \cline{1-1} \n y-y_1=m(x-x_1) \n\n \cline{1-1} \end{array}\implies y-\stackrel{y_1}{8}=\stackrel{m}{-2}(x-\stackrel{x_1}{(-8)}) \implies y -8 = -2 ( x +8) \n\n\n y-8=-2x-16\implies {\Large \begin{array}{llll} y=-2x-8 \end{array}}$