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kykrilka [37]
3 years ago
15

Geometry math question

Mathematics
2 answers:
Nutka1998 [239]3 years ago
6 0

JK = 82

JH = 22

HK = JK - JH

HK = 82 - 22

HK = 60

Answer: C. 60

Mamont248 [21]3 years ago
3 0

JK = JH + HK

JK = 82

JH = 22

So, HK = 82 - 22 = 60, or choice (C).

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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
Substitution method <br><br> x-7y=-9<br> -x+8y=10
max2010maxim [7]

Answer:

x = -2, y=1

Step-by-step explanation:

x-7y=-9---------------------equation 1

-x+8y=10-------------------equation 2

From equation 1, make x the subject of formula

x=7y-9----------------------equation 3

substituting x=7y-9 in equation 2,

-(7y-9)+8y=10

Expanding bracket

-7y+9+8y=10

Collecting like terms

8y-7y=10-9

y=1

substituting y=1 in 3

x=7(1)-9

x=7-9

x=-2

7 0
3 years ago
Rectangle A has length 3 and width 5. Rectangle B has length 12 and
galina1969 [7]

Answer:

Yes, the scale factor is 4.

Step-by-step explanation:

If you times the length, 3, and the width, 5, by 4, you'll get 12 as your length and 20 as your width.

7 0
3 years ago
what is the equation of the line that passes through (3,-1) and is parallel to y=-4X + 1? give your answer in slope-intercept fo
Butoxors [25]

the answer is y=4x-11

use y+1=4x-12

move 1 to negative because move to the other side

so the answer is y=4x-11

5 0
3 years ago
he graph represents function 1, and the equation represents function 2: A coordinate plane graph is shown. A horizontal line is
Reika [66]

Answer:

The answer is 2

Step-by-step explanation:

Rate of change of function is given by :

\frac{(f(x_{2})-f(x_{1}))}{x_{2}-x_{1}}

For function y = 6,

rate of change =  

=\frac{(f(x_{2})-f(x_{1}))}{x_{2}-x_{1}}\\=\frac{6-6}{x_{2}-x_{1}}\\=0

because the function is independent of x.

For function y = 2·x + 7,

rate of change =

=\frac{(f(x_{2})-f(x_{1}))}{x_{2}-x_{1}}\\=\frac{2\cdot x_{2}+7-2\cdot x_{1}-7}{x_{2}-x_{1}}\\=\frac{2\cdot x_{2}-2\cdot x_{1}}{x_{2}-x_{1}}\\=\frac{2\cdot (x_{2}-x_{1})}{x_{2}-x_{1}}\\=2

So, the rate of change of 2 is greater than rate of change of function 1 by 2 - 0 = 2.




8 0
3 years ago
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