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konstantin123 [22]
3 years ago
8

Please help me with this

Mathematics
2 answers:
umka2103 [35]3 years ago
7 0
The correct answer is D.
lbvjy [14]3 years ago
3 0
The correct answer is D
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Find the equation of a line perpendicular to y - 12 = 2x – 8 that passes through the point (2, 3). (answer in slope-intercept fo
Alla [95]

Answer:

\displaystyle y=-\frac{1}{2}x+4

Step-by-step explanation:

<u>Equation of a Line</u>

We can find the equation of a line by using two sets of data. It can be a pair of ordered pairs, or the slope and a point, or the slope and the y-intercept, or many other combinations of appropriate data.

We are given a line

y - 12 = 2x -8

And are required to find a line perpendicular to that line. Let's find the slope of the given line. Solving for y

y = 2x +4

The coefficient of the x is the slope

m=2

The slope of the perpendicular line is the negative reciprocal of m, thus

\displaystyle m'=-\frac{1}{2}

We know the second line passes through (2,3). That is enough information to find the second equation:

y-y_o=m'(x-x_o)

\displaystyle y-3=-\frac{1}{2}(x-2)

Operating

\displaystyle y=-\frac{1}{2}(x-2)+3

Simplifying

\displaystyle y=-\frac{1}{2}x+4

That is the equation in slope-intercept form. Intercept: y=4

8 0
3 years ago
The freezer at The Beech Café must be kept below -19 °C. It is currently at -17.5 °C. Is it cold enough?
Fofino [41]
It is not cold enough

3 0
3 years ago
Read 2 more answers
The table gives the average age of airplanes per airline at Camila’s local airport. By what percent is the number of airlines wi
VladimirAG [237]

The percentage that the number of airlines with an average airplane age of 14 is less than the number of airlines with an average airplane age of 11 is:

B. 20%.

<h3>What is a percentage?</h3>

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

P = \frac{a}{b} \times 100\%

The percentage of airlines with an average age of 14 years is:

P = \frac{2}{15} \times 100\% = 13.33\%

The percentage of airlines with an average age of 11 years is:

P = \frac{5}{15} \times 100\% = 33.33\%

The difference is:

33.33% - 13.33% = 20%.

Hence option B is correct.

More can be learned about percentages at brainly.com/question/10491646

#SPJ1

6 0
2 years ago
If the volume of a sphere is 36 pi cubic units, what is the radius?
Radda [10]

Answer:

3 units

Step-by-step explanation:

Hello

The sphere volume is:

(4/3)*Pi*r^3

then

36 = (4/3)*Pi*r^3

36/[(4/3)*Pi] = r^3

8,5 = r^3

r = 3

Best regards

5 0
3 years ago
Find the midpoint of X (26,56) and Y (26,1)
Svetradugi [14.3K]

Answer:

(26, \frac{57}{2})

Step-by-step explanation:

Hi there!

We are given the coordinates (26, 56) and (26, 1)

We want to find the midpoint of these two points

The midpoint can be found using the formula (\frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2}), where (x_1, y_1) & (x_2, y_2) are points

We have 2 points, which is what we need to find the midpoint, but let's label the values of the points to avoid confusion and mistakes when actually calculating

x_1=26\\y_1=56\\x_2=26\\y_2=1

Now substitute these values into the formula.

(\frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2})

(\frac{26 + 26}{2} , \frac{56+ 1}{2})

Add the numbers together

(\frac{52}{2} , \frac{57}{2})

Divide

(26, \frac{57}{2})

Hope this helps!

4 0
3 years ago
Read 2 more answers
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