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iVinArrow [24]
3 years ago
7

Which is an equation of the line containing the points (4, 10) and (6, 11) in standard form?

Mathematics
1 answer:
Sophie [7]3 years ago
8 0
Hello,

Answer A
y-10=(11-10)/(6-4) * (x-4)
==>2y=x+16
==>-x+2y=16

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Pls help. Can’t do this.
Anna [14]

Step-by-step explanation:

The equation of line A:

y-1=0, 5x-3

y=0, 5x-2. Hence its gradient is 0,5

For line B, its you intercept is -8, so y=mx-8.

When x = -4, y=-4m -8 =0 as shown in the graph. This means that m = -2.

Since |-2| > |0, 5|, line B is steeper than line A.

6 0
3 years ago
Triangle QRS is dilated according to the rule DO,2 (x,y).
Gemiola [76]

The correct options about the dilation are; Options A, B and E

<h3>How to interpret Dilated Objects?</h3>

From the given information, find attached a dilated image.

The scale factor is 2

QRS → Q'R'S' = (x,y) → 2(x,y)

The coordinates of ∆QRS are; Q (-3, 3), R (2, 4) and S (-1, 1)

To get the coordinates of Q'R'S', we would multiply each coordinate of the original triangle by the scale factor of 2 since the dilation is from the origin. In other words, each vertex of QRS is multiplied by 2 to get each of the vertex of Q'R'S'.

2(x, y) = (2x, 2y)

The coordinates of ∆Q'R'S' becomes: Q' (-6, 6), R' (4, 8), S' (-2, 2)

To determine the statements that are true about the image ΔQ'R'S,

Starting with ΔABC, we would draw the dilation image of the triangle with a center at the origin and a scale factor of 2.

A) DO, 2 (x, y) = (2x, 2y)

A dilation about the origin with a scale factor 2 is described using the above notation.

Q' = 2(-3,3) = [2(-3), 2(3)] = (-6, 6)

R' (4, 8) = 2(2,4) = [2(2), 2(4)] = (4, 8)

S' (-2, 2) = 2(-1,1) = [2(-1), 2(1)] = (-2, 2)

Thus Option A is correct.

B) Side Q'S' lies on a line with a slope of -1

Q' (-6, 6)

S' (-2, 2)

coordinate (x, y)

Slope = m = (change in y)/(change in x)

m = (6-2)/[-6-(-2)]

m = 4/(-6+2) = 4/-4

m = -1

Option B is correct

c) QR is longer than Q'R'

Length of QR (-3 to 2) = 5

Length of Q'R' (-6 to 4) = 10

QR is not longer than Q'R'

Option C is false

d) The vertices of the image are closer to the origin than those of the pre-image.

From the diagram, the vertices of the preimage are closer to the origin than those of the dilation image.

Option D is False

e) The distance from Q' to the origin is twice the distance from Q to the origin.

The distance from Q' to the origin (6 to 0) = 6

The distance from Q to the origin (3 to 0) = 3

The distance from Q' to the origin = 2(the distance from Q to the origin)

Option E is correct.

Read more about Dilated Objects at; brainly.com/question/10253650

#SPJ1

8 0
2 years ago
Nora's math teacher said that each question answered correctly on a test would be
lbvjy [14]

Answer:

add one please i wanna help!

Step-by-step explanation:

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3 years ago
1. Leland started a savings account with
Alborosie

Answer:18 weeks

Step-by-step explanation:

3 0
2 years ago
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If 1 yard = 3 feet and 1 mile = 5,280 feet, how many yards are there in 4 miles?
enyata [817]

Answer:

Your answer is A 7,040 yards.

Step-by-step explanation:

8 0
3 years ago
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