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artcher [175]
4 years ago
12

What will be the location of U’ in the image trapezoid S’T’U’V’?

Mathematics
1 answer:
oksano4ka [1.4K]4 years ago
4 0

Answer:

(14,1)

Step-by-step explanation:

You can see with the LKMJ rectangle, it moves over 7 and up 3.

We can do this for STUV and U is originally (7,-2) but moves up and right to the point (14,1)

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The length of one leg of a right triangle is 7 cm more than that of the other leg. The length of the hypotenuse is 3 cm more tha
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Answer:

The lengths are 5, 12, and 13.

Step-by-step explanation:

Let x represent the shorter leg of the triangle. Since the other leg is 7 cm more, the longer leg is x+7. Since the length of the hypotenuse is 3 cm more than double that of the shorter leg, the hypotenuse is 2x+3.

The Pythagorean Theorem may be used to find the lengths.

a^{2} + b^{2} = c^{2}  a, b are the short and long lengths and c is the hypotenuse

→ x^{2} + (x+7)^{2} = (2x+3)^{2}

→ x^{2} + x^{2} + 14x + 49 = 4x^{2} + 12x + 9

→ 2x^{2} + 14x + 49 = 4x^{2} + 12x + 9

→ 2x^{2} - 2x - 40 = 0

→ x^{2} - x - 20 = 0

→ (x-5)(x+4) = 0

→ x = 5 (The length cannot be negative)

The shorter leg, x, is 5 cm. Since the longer leg is x+7, it is 12 cm. Since the length of the hypotenuse is 2x+3, the hypotenuse is 13 cm.

6 0
3 years ago
Jessica is trying to win this game of pool. She needs to hit the cue ball (white ball) 10 in. into the yellow ball so it will tr
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The distance that the yellow ball must travel after hitting the back wall to land in the pocket must be 45 inches.

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3 years ago
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Jose's school spent $1284 on 9 sticksof memory and a new hard drive. The hard drive cost $168. Which is the reasonable estimate
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4 years ago
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The graph below represents the function of f(x), and the table below represents the function g(x). which statement is true?
Igoryamba

Answer: OPTION D.

Step-by-step explanation:

You can observe in the graph that represents f(x)  that this function intersects the x-axis at the point (1,0). Then:

x=1\\y=0

We know that a function intersects the x-axis when y=0.

We can observe the table that represents the function g(x). When the value of "y" is 0 (g(x)=y=0), the value of "x" is -1 (x=-1). Therefore, the x-intercept of f(x) is greater that the x-intercept of g(x).

You can observe in the graph that represents f(x)  that this function intersects the y-axis at the point (0,-1). Then:

x=0\\y=-1

We know that a function intersects the y-axis when x=0. In the table that represents the function g(x), we can see that, when the value of "x" is 0 (x=0), the value of "y" is 1 (g(x)=y=1). Therefore, the y-intercept of g(x) is greater that the y-intercept of f(x).

7 0
3 years ago
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Please help, would be greatful!
Salsk061 [2.6K]

Answer:

8.2 cm

Step-by-step explanation:

\cos \: 47 \degree =  \frac{h}{12}  \\  \\ h = 12  \cos \:47 \degree \\  \\ h = 12 \times 0.6819983601 \\  \\ h = 8.18398032 \\  \\ h  \approx \: 8.2 \: cm

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3 years ago
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