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2 years ago

Give the line that is parallel to the line y=-5x-2 and goes through (3,-9)

1 answer:

3 0

Answer: I don’t think there is such a line. A Line that passes through the point (3,-9) must have a positive slope, unlike the line y=-5x-2, which has a negative slope. If a line where to go through (3,-9), is would intersect the line you presented.

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Plot the following points to create a rectangle.

Tanya [424]

Answer:

(5, -1)

Step-by-step explanation:

The three coordinates of a triangle are given as:

(5,3), (-5,3), (-5,-1).

To find:

The missing vertex = ?

Solution:

Let us label the vertices:

A (5,3),

B(-5,3),

C(-5,-1).

Let the missing vertex be ( $x, y$ ).

Let us recall the properties of a rectangle.

The opposite sides of the rectangle are equal and parallel to each other.

Let us consider the side AB, we can see that only x coordinate is changed from A to B.

Let us consider the side BC, we can see that only y coordinate is changed from B to C.

A and B are adjacent vertices.

Similarly the opposite vertices will be C and D.

Same pattern will be followed in CD as that of AB.

x coordinate will be changed by same difference as that of AB.

Change in x coordinate from D to C = $-5-x$

Change in x coordinate from A to B = $-5-5 =-10$

Equating them:

$-5-x=-10\\\Rightarrow x = 5$

Same pattern is followed in BC and AD.

Their change in y coordinate will be same.

$-1-3=y-3\\\Rightarrow y =-1$

Missing vertex is (5, -1).

Please refer to the attached image for the rectangle.

3 0

3 years ago

Graph the linear equation x-3y=-6

TEA [102]

Answer:

Step-by-step explanation:

One of the easier approaches to graphing a linear equation such as this one is to solve it for y, which gives us both the slope of the line and the y-intercept.

x-3y=-6 → -3y = -x - 6, or 3y = x + 6.

Dividing both sides by 3, we get y = (1/3)x + 2.

So the slope of this line is 1/3 and the y-intercept is 2.

Plot a dot at (0, 2). This is the y-intercept. Now move your pencil point from that dot 3 spaces to the right and then 1 space up. Draw a line thru these two dots. End.

Alternatively, you could use the intercept method. We have already found that the y-intercept is (0, 2). To find the x-intercept, let y = 0. Then x = -6, and the x-intercept is (-6, 0).

Plot both (0, 2) and (-6, 0) and draw a line thru these points. Same graph.

7 0

3 years ago

Read 2 more answers

Use scientific notation to estimate the following: How many times greater is Mount Everest’s highest peak than Mount Olympus’s?

goblinko [34]

Answer:

0.303*10^1

Step-by-step explanation:

height of everest = 8848m

height of olympus = 2918m

8 0

3 years ago

Can anyone please solve this question

DENIUS [597]

The first number is 27 and the second number is 45 so the ratio would be 27;45

5 0

3 years ago

Uber is now charging a $2.50 flat rate in addition to $0.75 per mile for your ride. Janae can spend at most $13 on her Uber Ride

Alex777 [14]

Answer:

B: 10

Step-by-step explanation:

Full charge can be expressed as equation:

c = 2.5 + 0.75m, where c- charge, m- miles

The limit for charge is $13, then we got inequality:

0.75m + 2.5 ≤ 13
0.75m ≤ 9.5
m ≤ 9.5/0.75
m ≤ 12.66

Option B: 10 is correct as the only number satisfying the inequality

7 0

3 years ago

Read 2 more answers