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tia_tia [17]
3 years ago
14

The sum of twice a number and 6 is 14. Find the number

Mathematics
2 answers:
V125BC [204]3 years ago
8 0
The number is 4. 15-6=8 divide that by 2 and you are left with 4
sergey [27]3 years ago
4 0

First, write an equation:

2x+6=14

We want to get x by itself, so next we should subtract 6 from both sides and get

2x=8

Finally, divide both sides by 2 and get

x=4

The number is 4

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How do i find the shorted distance between the point and the line
m_a_m_a [10]

Answer:

5 units

Step-by-step explanation:

3x + 4y = 8

4y = -3x+8

y = -3/4+2

The shortest distance between a point and a line is the perpendicular line.

Slope of the perpendicular line: 4/3 and point (-3,-2)

b = -2-(4/3)(-3) = 2

Equation of the perpendicular line: y=4/3x+2

y is equal y

4/3x+2= -3/4x+2

4/3x +3/4x = 2-2

x = 0

Plug x=0 into one of the equations to find y

y = 4/3(0) + 2

y = 2

(0,2) and (-3,-2)

Distance = sqrt [(-3-0)^2 + (-2-2)^2]

Sqrt (-3)^2+ (-4)^2

Sqrt 25 = 5

3 0
3 years ago
Vertex (0,0) focus (0,-1)<br> A) y=1/4 x^2<br> B) y=-1/4x^2<br> C) y=1/16x^2<br> D) y=-1/16x^2
hichkok12 [17]

Answer:B

Step-by-step explanation:

8 0
2 years ago
Identify the slope and y-intercept of the graph of the equation.
Sunny_sXe [5.5K]
The first one, 4x is the slope and the +3 is the y-intercept
5 0
3 years ago
Make a box and whiskers plot of the data. average temperature in Pittsburgh in June 79,70,73,84,83,88,75,72,76,68,68,79,84,74,75
aliya0001 [1]
The box-and-whisker plot is attached.

We first order the data from least to greatest:
67,68,68,69,70,72,73,74,75,75,76,78,79,79,80,83,84,85,85,88

Now we find the median.  Since there are 20 data values, the median is between 75 and 76:
(75+76)/2 = 151/2 = 75.5

Now we find the Lower Quartile (LQ).  We do this by finding the median of the lower half of data (from the median down).  There are 10 values here; the median is between 70 and 72:
(70+72)/2 = 142/2 = 71

Find the Upper Quartile (UQ).  Do this by finding the median of the upper half of data (from the median up).  There are 10 values here; the median is between 80 and 83:
(80+83)/2 = 163/2 = 81.5

The middle bar of the box is over the median.  The left hand side of the box is over LQ, and the right hand side of the box is over UQ.  Now we draw a whisker from the box to the highest value, 88, and from the box to the lowest value, 67.

7 0
3 years ago
The probability that a student at certain high school likes art is 36%. The probability that a student who likes art also likes
KIM [24]

Answer: Probability that a student chosen at random likes science given that he or she likes art is 58%

Step-by-step explanation:

Since we have given that

Probability that a student who likes art and science = 21%

Probability that a student who likes art = 36%

According to question,

we need to find the probability that a student chosen at random likes science given that he or she likes art.

So, we will use "Conditional Probability":

P(A) = 0.36

P(S ∩ A) = 0.21

P(S\mid A)=\frac{P(S\cap A)}{P(A)}\\\\P(S\mid A)=\frac{0.21}{0.36}\\\\P(S\mid A)=0.58\\\\P(S\mid A)=58\%

Hence, Probability that a student chosen at random likes science given that he or she likes art is 58%.

5 0
3 years ago
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