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2 years ago

Taylor's grandpa has given him a rare stamp

Mathematics

1 answer:

LUCKY_DIMON [66]2 years ago

4 0

Step-by-step explanation:

i don't understand the question ..........

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A carpenter is making a shelf in the shape of a parallelogram. She begins by drawing parallelogram RSTU on a coordinate plane wi

olchik [2.2K]

The coordinates would be (3, 3).

The slope from R to S is given by

m = (0 - 0)/(-4-1) = 0/-5 = 0

The distance from R to S is 5 units straight across.

This means the slope from T to U will be 0, and it will be a horizontal segment. This means the y-coordinate of U will be 3, since the y-coordinate of T is 3.

The distance from T to U will be 5 as well; -2+5 = 3 for the x-coordinate.

This makes the point (3, 3).

3 0

3 years ago

Find the vertex and length of the latus rectum for the parabola. y=1/6(x-8)^2+6

Ivan

Step-by-step explanation:

If the parabola has the form

$y = a(x - h)^2 + k$ (vertex form)

then its vertex is located at the point (h, k). Therefore, the vertex of the parabola

$y = \dfrac{1}{6}(x - 8)^2 + 6$

is located at the point (8, 6).

To find the length of the parabola's latus rectum, we need to find its focal length f. Luckily, since our equation is in vertex form, we can easily find from the focus (or focal point) coordinate, which is

$\text{focus} = (h, k +\frac{1}{4a})$

where $\frac{1}{4a}$ is called the focal length or distance of the focus from the vertex. So from our equation, we can see that the focal length f is

$f = \dfrac{1}{4(\frac{1}{6})} = \dfrac{3}{2}$

By definition, the length of the latus rectum is four times the focal length so therefore, its value is

$\text{latus rectum} = 4\left(\dfrac{3}{2}\right) = 6$

5 0

3 years ago

How do you do this math

Basile [38]

Answer: y = -3x - 6

Step-by-step explanation:

One way to write a linear equation is with slope-intercept form. Slope-intercept form is y = mx + b, where m is the slope, and b is the y-intercept.

Thus, the equation is y = -3x - 6

Hope it helps :) and let me know if you are confused anywhere.

8 0

3 years ago

Read 2 more answers

Please help! I’ll also give brainliest! Thank you!

Vladimir79 [104]

Hi, sadly I am
not sure. Do you maybe mind explaining what rooster or your lesson is? Comment to me and Ill be glad to help!

5 0

3 years ago

A palindrome is a number that reads the same forwards and backwards, such as 22 or 39793.

Aleks04 [339]

Answer:

There are thirty-nine palindromic numbers between 10 and 400.

Step-by-step explanation:

Listed, they are: 11, 22, 33, 44, 55, 66, 77, 88, 99, 101, 111, 121, 131, 141, 151, 161, 171, 181, 191, 202, 212, 222, 232, 242, 252, 262, 272, 282, 292, 303, 313, 323, 333, 343, 353, 363, 373, 383, and 393.

5 0

2 years ago