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3 years ago

Line t passes through points (10, 4) and (7, 9). Line u is parallel to line t. What is the slope of line u?

Mathematics

1 answer:

Margarita [4]3 years ago

7 0

Answer: 3/5

Step-by-step explanation:

concept to know: the slope of perpendicular line is always opposite reciprocal

----------------------

Step 1. Find the slope of line t

(y2-y1)/(x2-x1)

=(4-9)/(10-7)

=-5/3

-------------------

Step 2. Apply the concept

Opposite reciprocal of (-5/3)=3/5

Hope this helps!! :)

Please let me know if you have any question

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Which rational numbers fall between 2.7 and 2.8 on a number line

Slav-nsk [51]

Some rational numbers are
2.71, 2.72, 2.73, 2.74, 2.75, 2.76, 2.77, 2.78, 2.79
2.711, 2.712 2.713....
2.721, 2.722, 2.723....
2.731....
I think you get the point! Hope this helped!

7 0

3 years ago

‼️GEOMETRY‼️

ella [17]

Answer:

A.) 1018 square inches

Step-by-step explanation:

The largest sphere will have a diameter equaling the length of the cube (see picture).

If the side length of the cube is 18 inches, the diameter of the sphere is also 18 inches. Use the surface area formula for a circle:

$SA=4\pi r^2$

For this formula, we need the radius of the sphere. Divide the diameter by 2:

$\frac{18}{2}=9$

The radius is 9 inches. Plug this into the equation:

$SA=4\pi *9^2$

Simplify the equation:

$SA=4\pi *81\\\\SA=324\pi \\\\SA=1017.87$

Round the result to the nearest whole number:

$1017.87$ → $1018$

The surface area is 1,018 inches².

:Done

Picture:

In a 2D version, we can clearly see that if the circle fits snuggly inside of the square, the diameter of a sphere is the same as the length of a side of the cube.

6 0

3 years ago

The expression for the amount of money earned on a savings account compounded quarterly is given by the expression x(1.1)^4t, wh

posledela

Selection D is the equivalent form of the given expression.

_____
The nominal annual interest rate in this problem is 40%. If it were compounded half-yearly, the formula would be x(1.2)^(2t) or x(1.44)^t. Apparently, this problem is more concerned with the equivalent form of the expression than it is with half-yearly compounding.

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3 years ago

A bag contains tiles with the letters p-r-o-b-a-b-i-l-i-t-y. tyler chooses a tile without looking and doesn’t replace it. he cho

egoroff_w [7]

Sample space = {p, r, o, b, a, b, i, l, I, t, y} = 11 possible outcomes
1sr event: drawing an I ( there are 2 I); P(1st I) = 2/11
2nd event drawing also an i: This is a conditional probability, since one I has already been selected the remaining number of I is now 1, but also the sample space from previously 11 outcome has now 10 outcomes (one letter selected and not replaced)
2nd event : P(also one I) = 1/10
P(selecting one I AND another I) is 2/11 x 1/10

P(selecting one I AND another I) =2/110 = 0.018

5 0

3 years ago

Find the value of y when x = 10, if y = 35 when x = 7.

olga55 [171]

Set up a proportion:

y = 35 when x = 7

y = ? when x = 10

To get x from 7 to 10, you have to multiply by $\frac{10}{7}$ . Therefore, you do the same to 35, and you get: