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2 years ago

Referring to the Fig. in Question #42, give the coordinates

Mathematics

1 answer:

iragen [17]2 years ago

4 0

Answer:

(x, y) = (0, -3)

Step-by-step explanation:

The point Y is on the y-axis. Its x-coordinate will be zero, since it is neither left nor right of the y-axis.

The point Y is 3 units below the x-axis, so its y-coordinate is -3. This is the value you can read on the y-axis next to point Y.

(x, y) = (0, -3)

_____

U(-5, 0)

V(-3, 3)

W(5, 5)

X(-4, -5)

Y(0, -3)

Z(2, -1)

It is a good idea to learn to read coordinates from a graph. You will be doing it a lot. The x-coordinate is the number of units right of the y-axis. The y-coordinate is the number of units up from the x-axis. Left or down makes the coordinate negative.

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Find the unit rate with the numbers 12 and one and one half

kati45 [8]

Answer:

The value of the unit rate is 8

Step-by-step explanation:

we know that

To calculate the unit rate simply divide the first number by the second number

$12:1\frac{1}{2}$

Convert mixed number to an improper fraction

$1\frac{1}{2}=1+\frac{1}{2}=\frac{1*2+1}{2}=\frac{3}{2}$

substitute in the expression above

$12:\frac{3}{2}=\frac{24}{3}=8$

4 0

3 years ago

Liev is assembling a coffee table. The diagram below is from the instruction manual and shows the table after the first two legs

elixir [45]

Answer:

The support is 41 inches long.

Step-by-step explanation:

There's two ways we can do this: one with the diagonal formula and one without.

Since we know that Point C is halfway down leg A and that the table legs are 18 inches tall, Point C is 9 inches down leg A. The support, from Point C to Point D, will form a diagonal, the length of which we need to find. We know from the diagram that the width of the table is 24 inches and that its length is 32 inches. We have a height, length, and width for this problem, so let's imagine a rectangular prism, which has all three of those things, instead of a table. The formula for finding a rectangular prism's diagonal is $d = \sqrt{l^{2} + w^{2} + h^{2} }$ . Let's put in those numbers:

$d = \sqrt{32^{2} + 24^{2} + 9^{2} } = 41$

Therefore, the support is 41 inches long.

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Another way you can do this is to use the Pythagorean Theorem twice: once to find the diagonal of the tabletop and another time for the support.

$24^{2} + 32^{2} = c^{2} \\576 + 1024 = c^2\\1600 = c^2\\\sqrt{1600} = \sqrt{c^2}\\ 40 = c$

Now that we know the corner-to-corner distance for the tabletop, we'll use that and the 9 inch distance for Point C to find the distance between C and D:

$9^{2} + 40^{2} = c^{2}\\ 81 + 1600 = c^2\\1681 = c^2\\\\sqrt{1681} = \sqrt{c^2} \\41 = c$

Again, the support is 41 inches long.

4 0

3 years ago

Can 11 , 27, 9 and 6 whats the number closest to 24 it can make?

Marysya12 [62]

<span>Understand that: • the sum of two positive numbers is greater than either number. Understand that addition is the inverse of subtraction (addition reverses subtraction and vice versa) and use this to check results. Respond rapidly to oral or written questions, explaining the strategy used. For example: • 654 add 50… Add 68 to 74… • 7 add 12 add 9… Add 15, 6, 4, 15 and 1… • What is the sum/total of 26 and 39? And of 13, 62 and 3? • How many altogether are 121 and 35? And 61, 37 and 6? • Increase 48 by 22. • Which three numbers could have a total of 103? Are there any others?</span>

3 0

3 years ago

Figure ABCD is transformed to obtain figure A′B′C′D′:

Kisachek [45]

Step-by-step explanation:

part A:

ABCD is transformed to obtain figure A′B′C′D′:

1) by reflection over x-axis, obtain the image :

A(-4,-4) B(-2,-2) C(-2, 1) D(-4, -1)

2) by translation T (7 0), obtain the image :

A'(3,-4) B'(5,-2) C'(5, 1) D'(3, -1)

part B:

the two figures are congruent.

the figures that transformed by reflection either or translation will obtain the images with the same shape and size (congruent)

6 0

3 years ago

What is the approximate area of the circle shown?

Amanda [17]

Answer:

907.46

Step-by-step explanation:

We know the area of a circle is:

$\pi r^{2} \\\pi (34/2)^{2}\\17^{2} \pi \\907.46$

5 0

3 years ago