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emmainna [20.7K]
1 year ago
8

Write an equation of the line that passes through point P and is parallelto the line with the given equation.P(-2, 1), 10x + 4y

= -8
Mathematics
1 answer:
Klio2033 [76]1 year ago
5 0
\begin{gathered} 10x+4y=-8 \\ 4y=-10x-8 \\ y=-\frac{10}{4}x-2 \\ \text{The slope is m=-}\frac{10}{4} \\ \text{The new equation is-} \\ y-1=-\frac{10}{4}(x+2) \\ 4y-4=-10x-20 \\ 4y=-10x-16 \\ y=-\frac{10}{4}x-4\text{ (equation)} \\  \\ m=-\frac{10}{4} \\ b=-16 \end{gathered}

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Use the frequency distribution, which shows the number of American voters (in millions) according to age, to
a_sh-v [17]

Answer:

The probability that a voter chosen at random is in the 18 to 20 years old age range is =  4.2/ 134.8= 0.0311572

Step-by-step explanation:

We can find the probability by simply dividing the frequency of the ages range of 18-20 by the total frequency.

Ages                Frequency

18 to 20             4.2

21 to 24             7.8

25 to 34           20.8

35 to 44           23.7

45 to 64           50.1

<u>65 and over       28.2</u>

<u>∑                        134.8</u>

The probability of an event is given by the occurrence of an event by the total occurrences .

So

Here the occurrence of ages 18-20 is given by 4.2

and the total frequency is 134.8

The probability that a voter chosen at random is in the 18 to 20 years old age range is =  4.2/ 134.8= 0.0311572

7 0
3 years ago
I would love to know how to do the circled question. Thanks!
Lapatulllka [165]
You should use mathway it really helps with problems like this.
4 0
3 years ago
URGENT BRAINLIEST GIVEN
UNO [17]

This is the way I do it to find the average.

10 girls times 70 = 700

15 boys times 80= 1200

700+1200=1900 all their scores

1900÷25 (number of boys and girls)=76 or 76%

6 0
2 years ago
Help me! What is the surface area of the triangular prism shaped toy car ramp shown?
dalvyx [7]

Answer:

TRY 416in²

Step-by-step explanation:

front:

8×17=136÷2=68

same for the back

back = 68

side 1=

7×15=105

side 2=

8×7=56

bottom=

17×7=119

68+68+105+56+119=416

8 0
1 year ago
Suppose that cos = 12/13 what is sin what is cos 2
riadik2000 [5.3K]
First, some housekeeping:

cos = 12/13 is incomplete; "cos" must have an argument (input).

cos x = 12/13 is fine; here "cos" has the argument (input) x.

Given that cos x = 12/13, find sin x.  To do this, we'll need to find the length of the opposite side, given that the hypo length is 13 and the adj. side length is 12.

12^2 + opp^2 = 13^2, or            opp^2 = 169-144 = 25.

Then the opp side could be either 5 or -5.  Let's assume that it's +5, and that angle x is in the first quadrant.

Then sin x = opp / hyp  =  5/13   (answer)


cos 2 is an entirely different kind of problem.  Here you are told what the argument (input) to the cosine function is (it is 2, which here means 2 radians).

Using a calculator:  cos 2 = -0.416.  Note that the angle 2 rad is in QII, which is why the "adjacent side" is negative and also why the cos of 2 is negative.
8 0
2 years ago
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