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3 years ago

15

On a coordinate plane, Point J is plot at (-4,6) and Point K is plotted at (8,-3). What is the distance, in units, between point

s J and K?

1 answer:

zhuklara [117]3 years ago

4 0

Idk I tried this but I can't get it

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5(3a-1)-2(3a-2)=3(a+2)+v

STatiana [176]

Answer:

<u>The answer is option C. 6a-7</u>

Step-by-step explanation:

Given that

5(3a-1)-2(3a-2)=3(a+2)+v

Solve for v

∴ v = 5(3a-1)-2(3a-2) - 3(a+2)

∴ v = 15a - 5 - 6a + 4 - 3a - 6

∴ v = 15a - 6a - 3a - 5 + 4 - 6

∴ v = 6a - 7

<u>So the answer is option C. 6a-7</u>

5 0

3 years ago

A cylindrical pail that has the base area of 9 pi inches squared and a height of 10 inches. One friend bought a pyramid mold wit

FromTheMoon [43]

Answer:

cylinder — 90π in³
pyramid — 37 1/3 in³
cone — 12.5π in³

Step-by-step explanation:

The volume of a cylinder is given by ...

V = Bh . . . . . where B is the base area and h is the height

The volume of a pyramid or cone is given by ...

V = (1/3)Bh . . . . . where B is the base area and h is the height

The area of a square of side length s is ...

A = s²

The area of a circle of radius r is ...

A = πr²

___

Using these formulas, the volumes of these objects are ...

cylinder: (9π in²)(10 in) = 90π in³

square pyramid: (1/3)(4 in)²(7 in) = 37 1/3 in³

cone: (1/3)(π(2.5 in)²)(6 in) = 12.5π in³ . . . . slightly larger than the pyramid

3 0

3 years ago

Six sophomores and 14 freshmen are competing for two alternate positions on the debate team. Which expression represents the pro

Elanso [62]

Answer:

<em>Choose the first alternative</em>

$\displaystyle P=\frac{_{1}^{6}\textrm{C}\ _{1}^{5}\textrm{C}}{_{2}^{20}\textrm{C}}$

Step-by-step explanation:

<u>Probabilities</u>

The requested probability can be computed as the ratio between the number of ways to choose two sophomores in alternate positions $(N_s)$ and the total number of possible choices $(N_t)$ , i.e.

$\displaystyle P=\frac{N_s}{N_t}$

There are 6 sophomores and 14 freshmen to choose from each separate set. There are 20 students in total

We'll assume the positions of the selections are NOT significative, i.e. student A/student B is the same as student B/student A.

To choose 2 sophomores out of the 6 available, the first position has 6 elements to choose from, the second has now only 5

$_{1}^{6}\textrm{C}\ _{1}^{5}\textrm{C} \text{ ways to do it}$

The total number of possible choices is

$_{2}^{20}\textrm{C} \text{ ways to do it}$

The probability is then

$\boxed{\displaystyle P=\frac{_{1}^{6}\textrm{C}\ _{1}^{5}\textrm{C}}{_{2}^{20}\textrm{C}}}$

Choose the first alternative

7 0

3 years ago

Read 2 more answers

Help ur homie out pls

MrMuchimi

I'm still doing the rest but number 1 is D

5 0

3 years ago

I dont undertand perfect square trinomials

AlexFokin [52]

Answer:

$(3x-5)(3x-5)$

Step-by-step explanation:

$(3x-5)(3x-5)=(3x-5)^2$

4 0

2 years ago