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mr Goodwill [35]
2 years ago
11

ΔA'B'C' was constructed using ΔABC and line segment EH.

Mathematics
1 answer:
Ivenika [448]2 years ago
3 0

Answer: 1,3,4

Step-by-step explanation:

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The straight line joining the points A(3,-5) and B(6,k) has a gradient of 4. Work out the value of k.
BaLLatris [955]

The straight line joining the points A(3,-5) and B(6,k) has a gradient of 4.

Gradient is the slope

So the slope of the line joining the points A(3,-5) and B(6,k) is 4

Slope of line joining two points = \frac{y_2-y_1}{x_2-x_1}

A(3,-5) and B(6,k) are (x1,y1)  and (x2,y2)

slope = \frac{y_2-y_1}{x_2-x_1}

slope = \frac{k-(-5)}{6-3}=\frac{k+5)}{3}

We know slope =4

 \frac{k+5)}{3}=4

Cross multiply  and solve for k

k + 5 = 12

k = 7

The value of k = 7

7 0
2 years ago
State the range of the relation
Finger [1]

The range of the given relation is D. R = {-1, 3, 5, 8}.

Step-by-step explanation:

Step 1:

The range of a relation is the second set of values while the domain constitutes the first set of values.

There are 4 given relations with two sets of values so there would be 4 domain values and 4 range values.

Step 2:

The range of (1, -1) = -1,

The range of (2, 3) = 3,

The range of (3, 5) = 5,

The range of (4, 8) = 8.

Combining these values we get the range as {-1, 3, 5, 8} which is option D.

3 0
3 years ago
Identify which of these types of sampling is​ used: random,​ systematic, convenience,​ stratified, or cluster. To determine her
Artist 52 [7]

Answer:

achievements

Step-by-step explanation:

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3 years ago
Choose the equation of the vertical line passing through the point (−4, 2).
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Vertical line has no slope. so only look at the x value. x=-4.
8 0
3 years ago
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Becca Buy 1.5 pounds of grapes and paid $3.72 what was the cost per pound of grapes
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3.72÷1.5=2.48
$2.48 per pound

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3 years ago
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