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vredina [299]
1 year ago
7

Find the equation of the line through (-9,6) that is perpendicular to the line through (7,8),

Mathematics
1 answer:
Setler [38]1 year ago
7 0

Step-by-step explanation:

I assume as "equation" we mean the slope-intercept form :

y = ax + b

"a" is the slope of the line (y coordinate change / x coordinate change when going from one point to another on the line). b is the y-intercept (the y value when x = 0).

we get the slope by finding the perpendicular slope of the first line.

the slope of the first line when going from (-3, -9) to (7, 8) :

x changes by + 10 (from -3 to +7).

y changes by + 17 (from -9 to +8).

so, that slope is 17/10.

the perpendicular slope is turning the original slope upside-down and flips the sign :

-10/17

so, a = -10/17

now, as we have only the slope and a point of the new line, we can use the point-slope form to stay and then transfer into the slope-intercept form.

y - y1 = a(x - x1)

where "a" is again the slope, and (x1, y1) is a point on the line

y - -6 = -10/17 × (x - -9)

y + 6 = -10/17 × (x + 9) = -10/17 × x - 90/17

y = -10/17 × x - 90/17 - 6 =

= -10/17 × x - 90/17 - 102/17 =

= -10/17 × x - 192/17

so, the equation is (in a maybe nicer way)

y = -1/17 × (10x + 192)

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A triangle has one angle that measures 39 degrees, one angle that measures 104 degrees, and one angle that measures 37 degrees.
Nikitich [7]

Answer: Scalene triangle

Step-by-step explanation:

All triangles have three sides with specific lengths and angles, but a scalene triangle is a kind of triangle that has each of its three sides to be of different lengths and angles.

Hence, a triangle that measures 39°, 104°, and 37° definitely has three sides with different lengths and angles.

Thus, it is a scalene triangle.

8 0
3 years ago
50 POINTS IF YOU ANSWER!!
LekaFEV [45]

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It is believed that 44% of all Americans eat breakfast every day. For a class project, you randomly select Clemson students and
GaryK [48]

Answer:

For this case we want to conduct a test in order to see if the proportion of Clemson students who eat breakfast is different from 0.44 (alternative hypothesis). And the complement would represent the null hypothesis, and the system of hypothesis for this case are:

Null Hypothesis: p =0.44

Alternative hypothesis: p \neq 0.44

Step-by-step explanation:

Previous concepts

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".  

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

Solution to the problem

For this case we want to conduct a test in order to see if the proportion of Clemson students who eat breakfast is different from 0.44 (alternative hypothesis). And the complement would represent the null hypothesis, and the system of hypothesis for this case are:

Null Hypothesis: p =0.44

Alternative hypothesis: p \neq 0.44

8 0
3 years ago
(8x – 20)-16 =10x+51
Lemur [1.5K]

When solving this equation, you get the answer as -43.5.

To solve, we simply need to collect like-terms and then rearrange to get x on one side and numbers on the other:

(8x - 20) - 16 = 10x + 51

8x - 36 = 10x + 51

- 8x

-36 = 2x + 51

- 51

-87 = 2x

÷ 2

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I hope this helps!

6 0
3 years ago
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Alja [10]

Answer:

please can u give full question

5 0
2 years ago
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