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1 year ago

33Which line is perpendicular to the line shown on the graph?OA y=-3x+2Ob y=-x-4Oc y= fx+1OD y=x+1

Mathematics

1 answer:

Lina20 [59]1 year ago

8 0

First, we have to find the slope of the given line using the following formula.

$m=\frac{y_2-y_1}{x_2-x_1}$

Let's replace the points (-3,-3) and (0,-1).

$m=\frac{-1-(-3)}{0-(-3)}=\frac{-1+3}{3}=\frac{2}{3}$

Then, we use the formula for perpendicular slopes to find the new perpendicular slope.

$\begin{gathered} -\frac{2}{3}\cdot m=-1 \\ m=\frac{3}{2} \end{gathered}$

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A sample of an unknown liquid has a volume of 12.0 mL and a mass of 6 g. What is its density?

NemiM [27]

Density = Mass/Volume
Density = 6/12 = 0.5 g/mL or 0.5 kg/L

6 0

3 years ago

6. The total cost of materials to build the foam

Sophie [7]

Answer:

Cost of Material per square foot = $1.7

Step-by-step explanation:

Given:

Length = 24

Width = 12

Height = 6.5

Find:

Cost of Material per square foot

Computation:

TSA of pit = 2[bh + hl] + lb

TSA of pit = 2[(12)(6.5) + (24)(6.5)] + (24)(12)

TSA of pit = 2[78+156] + 288

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4 0

2 years ago

Question 8

mafiozo [28]

Answer

Step-by-step explanation:

8 0

3 years ago

Pleasee help ASAP!! No links pleaseee!!!

Ilya [14]

Given:

The vertices of the rectangle ABCD are A(0,1), B(2,4), C(6,0), D(4,-3).

To find:

The area of the rectangle.

Solution:

Distance formula:

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using the distance formula, we get

$AB=\sqrt{(2-0)^2+(4-1)^2}$

$AB=\sqrt{(2)^2+(3)^2}$

$AB=\sqrt{4+9}$

$AB=\sqrt{13}$

Similarly,

$BC=\sqrt{(6-2)^2+(0-4)^2}$

$BC=\sqrt{(4)^2+(-4)^2}$

$BC=\sqrt{16+16}$

$BC=\sqrt{32}$

$BC=4\sqrt{2}$

Now, the length of the rectangle is $AB=\sqrt{13}$ and the width of the rectangle is $BC=4\sqrt{2}$ . So, the area of the rectangle is:

$A=length \times width$

$A=\sqrt{13}\times 4\sqrt{2}$

$A=4\sqrt{26}$

$A\approx 20$

Therefore, the area of the rectangle is 20 square units.

3 0

2 years ago

Find m∠DEC (the picture is not drawn to scale).

pochemuha

Answer:

M∠DEC equals 123º.

Step-by-step explanation:

The sum of a triangle's three angles always equal 180º. The exterior angle, x, equals the two non-adjacent interior angles.

180 - {(x - 45)+(x - 12)} = m∠DEC

m∠DEC + x = 180

(x - 45) + (x - 12) = x

Solving for x:

(x - 45) + (x - 12) = x

x - 45 + x - 12 = x Remove parenthesis

2x - 57 = x Combine like terms

2x = x + 57 Add 57 to both sides

x = 57 Subtract x from both sides

Finding m∠D:

x - 45 = ?

57 - 45 = 12º

Finding m∠C:

x - 12 = ?

57 - 12 = 45º

** (Checking x: 12 + 45 = 57) **

Finding m∠DEC:

AC is a straight line, and because straight lines are equivalent to 180º, we subtract 57 from 180:

180 - 57 = 123º

Hope this helps,

❤A.W.E.S.W.A.N.❤

8 0

3 years ago