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4vir4ik [10]
3 years ago
15

Assessment items Two triangles, both different shades of blue, labeled Figure 1 and Figure 2. One triangle overlaps the other. A

graph with two triangles on it. One triangle is formed between points A begin ordered pair negative 4 comma 1 end ordered pair, B begin ordered pair negative 6 comma 5 end ordered pair, and C begin ordered pair negative 1 comma 2 end ordered pair. The other triangle is formed between points D begin ordered pair negative 3 comma negative 3 end ordered pair, E begin ordered pair negative 5 comma negative 6 end ordered pair, and F begin ordered pair 0 comma negative 3 end ordered pair. A graph with two triangles on it. One triangle, A, is formed between coordinates begin ordered pair -2, 0 end ordered pair, begin ordered pair -5, 2 end ordered pair, and begin ordered pair -2, 3 end ordered pair. The other triangle, A1, is formed between coordinates begin ordered pair 2, 0 end ordered pair, begin ordered pair 5, 2 end ordered pair, and begin ordered pair 2, 3 end ordered pair. A graph with a line between points A begin ordered pair -6, 2 end ordered pair and B begin ordered pair -2, 6 end ordered pair Three line segments. Segment PQ is two centimeters, segment AB is one point five centimeters, and segment MN is three centimeters. A translation is applied to the square formed by the points A(−3, −4) , B(−3, 5) , C(6, 5) , and D(6, −4) . The image is the square that has vertices ​ A′(−3, −6) ​, ​ B′(−3, 3) ​, C′(6, 3) and D′(6, −6) . Select the phrase from the drop-down menu to correctly describe the translation. The square was translated Choose...2 units down 10 units down 10 units to the left 2 units to the left.
Mathematics
1 answer:
AURORKA [14]3 years ago
3 0
The square was translated 2 units down.

_____
Information related to triangles and line segments appears to have no relevance to any question asked here.
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Find the distance between A and B.
Papessa [141]

Answer:

The result is d = 2\sqrt{5} units.

Step-by-step explanation:

The coordinates for A and B:

A = (-2, 0)

B = (2, 2)

-To find the distance between A and B, you need the distance formula:

d = \sqrt{(x_{2} - x_{1})^2 + (y_{2}-y_{1})^2} Where the first coordinate is (x_{1},y_{1}) and  the second coordinate is (x_{2}, y_{2}).

-Use the coordinates A and B for the equation:

d = \sqrt{(2+2)^2 + (2-0)^2}

-Then, you solve the equation:

d = \sqrt{(2+2)^2 + (2-0)^2}

d = \sqrt{(4)^2 + (2)^2}

d = \sqrt{16 + 4}

d = \sqrt{20}

d = 2\sqrt{5}

So, therefore the distance is 2\sqrt{5} units.

7 0
4 years ago
What is the equation of a line that is parallel to the line x=-2and passes through the point (-5, 4)?
Nimfa-mama [501]
First, it is important to understand that any equation that is x=some number is just a vertical line that hits the x-axis at the given number. For example, x=-2 would be a vertical line hitting the x-axis at -2. Therefore, the line we are trying to identify would also be vertical (and have the form x=some number) because we know the lines are parallel. Then, since we're given the point (-5,4), we know the line needs to hit the x-axis at -5, therefore the equation would be x=-5.

I hope this helps.
6 0
3 years ago
The cost per week of running a boarding house is partly constant and partly
patriot [66]

Answer:

the cost of running the boarding

house for 600 students is N61,000

Step-by-step explanation:

Let C represents cost

K1 represents first constant

K2 represents second constant

C= k1+k2n

3500 = k1 + 25 k2............. Eqn(1)

6000= k1 + 50 k2 .............. Eqn(2)

Subtract eqn(1) from eqn(2)

2500= 25k2

K2= 2500/25

K2= 100

To get k1 from eqn(1)

3500 = k1 + 25 k2

Substitute the value of k2

3500 = k1 + 25 (100)

3500= k1 +2500

K1= 3500- 2500

K1= 1000

The equation connecting them;

C= 1000+ 100n

The cost of running the boarding

house for 600 students is

n= 600

C= 1000+ 100(600)

C= 1000+60000

C= N 61,0000

6 0
3 years ago
Michael paid $10.11 for a pair of jeans. This amount included a tax of 2%. What was the cost before tax?
djverab [1.8K]

Answer: $9.91

Step-by-step explanation: The correct answer is $9.91 for the jeans. This is calculated by divided the total paid ($10.11) by 1.02, which represents the cost of the jeans + the 2% interest. 10.11 / 1.02 = $9.91.

You can then double check you work by calculating the 2% interest rate of the jeans. $9.91 x 2% = $ .20. The total is $9.91 for the jeans plus $ .20 for the tax, for a total of $10.11, which is the amount in the original problem.

4 0
3 years ago
Find the missing dimension of the triangle. A triangle with base labeled b, height labeled 6 feet, and height labeled 14 square
astra-53 [7]

Answer:

4.67 feet

Step-by-step explanation:

The computation of missing dimension of the triangle is given below:

As we know that

Area of the triangle = 1 ÷ 2 × base × height

14 = 1 ÷ 2 × base × 6

14 = 3 × base

So, the base is

= 14 ÷ 3

= 4.67 feet

Here we assume the area to be 14 square feet

8 0
3 years ago
Read 2 more answers
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