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3 years ago

9

A. points V,U, and T and collinear

1 answer:

podryga [215]3 years ago

3 0

I think the answer is d

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PLSSSSS HELPPP solve for x, round to nearest tenth

vodomira [7]

Answer:

31.8755522675

Step-by-step explanation:

i pluged it into a site called desmos

6 0

3 years ago

A line, y = mx + b, passes through the point (10, 3) and is parallel to the line 2x+5y=12.

slava [35]

We have been given that a line $y=mx+b$ passes through the point (10, 3) and is parallel to the line $2x+5y=12$ . We are asked to find the y-intercept of the line.

First of all we will rewrite our given equation in slope-intercept form as:

$2x-2x+5y=12-2x$

$5y=-2x+12$

$\frac{5y}{5}=-\frac{2}{5}x+\frac{12}{5}$

$y=-\frac{2}{5}x+\frac{12}{5}$

We know that slope of parallel lines is equal, so slope of parallel line to our given line would be $-\frac{2}{5}$ .

Now we will use slope-intercept form of equation to find y-intercept.

$y=mx+b$ , where,

m = Slope,

b = The y-intercept.

Let us substitute $m=-\frac{2}{5}$ and coordinates of point $(10,3)$ in above equation as:

$3=-\frac{2}{5}(10)+b$

$3=-2(2)+b$

$3=-4+b$

$3+4=-4+4+b$

$7=b$

Therefore, the y-intercept is 7 and our required equation would be $y=-\frac{2}{5}x+7$ .

5 0

3 years ago

Chris is packing toy boxes that are cubes with 4 inch-sides into a crate. The crate is 3 feet wide by 3 feet long by 2 feet tall

STALIN [3.7K]

Answer:

$486\ toy\ boxes$

Step-by-step explanation:

we know that

$1\ ft=12\ in$

step 1

Convert the dimensions of the boxes to feet

$4\ in=4/12=(1/3)\ ft$

step 2

Find the volume of the toy boxes

$V=b^{3}$

$V=(1/3)^{3}=(1/27)\ ft^{3}$

step 3

Find the volume of the crate

$V=LWH$

$V=(3)(3)(2)=18\ ft^{3}$

step 4

Divide the volume of the crate by the volume of the toy boxes to find the number of toy boxes

$\frac{18}{(1/27)}= 486\ toy\ boxes$

7 0

3 years ago

Simplify ^3 sq try (-0.05)^24

Bogdan [553]

Answer:

As

$\sqrt[3]{\left(-0.05\right)^{24}}=0.05^8$

so option D is correct.

Step-by-step explanation:

Given the expression

$\sqrt[3]{\left(-0.05\right)^{24}}$

$\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a}=a^{\frac{1}{n}}$

$\sqrt[3]{\left(-0.05\right)^{24}}=\left(\left(-0.05\right)^{24}\right)^{\frac{1}{3}}$

$\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc}$

$=\left(-0.05\right)^{24\cdot \frac{1}{3}}$

$=\left(-0.05\right)^8$

$\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=a^n,\:\mathrm{if\:}n\mathrm{\:is\:even}$

$=0.05^8$

Hence, the simplification will be:

$\sqrt[3]{\left(-0.05\right)^{24}}=0.05^8$

Therefore, option D is correct.

7 0

3 years ago

What is the measure of angle ACB in this triangle

Mrrafil [7]

So, angles A and B added together is 130° which makes the whole angle = 180°-130°=50°

The answer is 180° because it is a supplementary angle and all supplementary angles equal 180° so, all the angles added makes 180°

7 0

4 years ago