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Zepler [3.9K]
3 years ago
12

The equation of line GH is y = 4x − 3. Write an equation of a line perpendicular to line GH in slope-intercept form that contain

s point (2, 3). (5 points)
Mathematics
1 answer:
butalik [34]3 years ago
3 0

Answer:

The equation of this line is y = -1/4x - 7/2

Step-by-step explanation:

To find this, we need to first look for the slope. Perpendicular slopes have opposite and reciprocal slopes. Since the original line has a slope of 4, this means the new one has a slope of -1/4.

Given that slope, we can find the equation by starting with the base form of point-slope form.

y - y1 = m(x - x1)

Now put the slope in for m and the two coordinates in for (x1, y1).

y - 3 = -1/4(x - 2)

Now that we have this, solve for y for the slope-intercept form.

y - 3 = -1/4x + 1/2

y = -1/4x + 7/2


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3. A researcher studied the eyesight of people at different ages. She calculated a vision score for each person in the study and
WITCHER [35]

Answer:

A)Predicted value = 103.5

B)Actual value = 102

C)So, these are not same

Step-by-step explanation:

The researcher used the liney = -0.1 x +110 to model the data.

A)When the researcher substituted the value of x = 65 into this equation, what is the resulting y value?

Substitute value x=65 in equation :

y = -0.1 x +110

y=-0.1(65)+110

y=103.5

Predicted value = 103.5

B)Based on the coordinates of the given data points, what is the actual actual vision score when x=65?

Use the given graph

When x = 65

y = 102

So, The actual actual vision score when x=65 is 102

C)When the researcher substituted x = 65 into the line of equation, is the resulting y value the predicted value or the exit value for the vision score of a 65-year-old? Use your results for parts a and b to answer this question.

Predicted value = 103.5

Actual value = 102

So, these are not same

7 0
3 years ago
Which graph represents the function f(x)=−4x−3?
Evgen [1.6K]
<h2>Answer:</h2>

The graph on the top left.

<h2>Step-by-step explanation:</h2>

f(x) = -4^x - 3

That means that when x = 0...

f(0) = -4^0 - 3

f(0) = -1 - 3

f(0) = -4

So, the function will have a point at (0, -4). We can eliminate the two graphs on the right.

When x = 1...

f(1) = -4^1 - 3

f(1) = -4 - 3

f(1) = -7

So, the function will have a point at (1, -7). That corresponds to the graph on the top left.

<h2>Hope this helps! </h2>
6 0
4 years ago
Given;, angle 2 = angle 4. angle 2 = 110<br>prove angle 3 = 70​
Reil [10]

Answer:

Step-by-step explanation:

180-110+70

7 0
3 years ago
Which angle pairs are supplementary? Check all that<br> apply.
Basile [38]

Answer:

The correct answers are B, C, and E.

B. < 4 and < 3

C. < 4 and < 5

E. < 3 and < 6

Step-by-step explanation:

The pairs in options B, C, and E add up to 180°, which is the definition of a supplementary angle.

Hope this helps!

8 0
3 years ago
A true/false test has 6 questions. If a student were to guess the answer to
Lorico [155]

Answer:

36 I think!

Step-by-step explanation:

7 0
3 years ago
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