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2 years ago

Consider the line -6x-2y=-4.

Mathematics

1 answer:

Rzqust [24]2 years ago

3 0

Answer:

Parallel Slope: -3 Perpendicular Slope: 1/3

Step-by-step explanation:

First, solve for y to get the simplified equation for the line.

Once you solve, the equation should be y=-3x+2

Seeing this, we know that the slope of this line is -3. A line parallel will have the same slope as the original equation, and a line perpendicular will have a slope that is the opposite reciprocal.

Hope that helps!

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Calculating the Surface Area of a Triangular Prism The triangular prism shown has 1235 triangular face(s) and 1235 lateral face(

GenaCL600 [577]

Corrected Question

The triangular prism shown has 1, 2, 3 or 5 triangular faces and 1,2,3, or 5 lateral faces.

The area of one triangular face is 7.5,8.125,15,or 17 $mm^2$

The surface area of the triangular prism is 55.5,127.5,135,or 150 $mm^2$

Answer:

(B)2 triangular faces

(A)Area of one Triangular Face $=7.5mm^2$

(C)Total Surface Area of the Triangular prism $=135mm^2$

Step-by-step explanation:

The triangular prism is attached.

The triangular prism shown has 2 triangular faces and 3 lateral faces.

Base of the triangle =2.5mm

Height of the Triangle =6mm

Area of one Triangular Face $=\frac{1}{2}*6*2.5=7.5mm^2$

The dimensions of the lateral rectangles are:

2.5 mm by 8mm
6 mm by 8mm
6.5 mm by 8mm

Therefore, total surface area of the triangular prism

=2(Area of one Triangular Face)+Area of 3 rectangular faces

$=2(7.5)+ (2.5 X 8+ 6 X 8 + 6.5 X 8)\\=15+120\\=135mm^2$

Total Surface Area of the Triangular prism $=135mm^2$

8 0

3 years ago

Solve the system by substitution. y = 8x y=10x – 4 Submit Answer How

Goshia [24]

Answer:

(2,16)

Step-by-step explanation:

y=8x-----------(i)

y= 10x-4---------(ii)

Substituting the value of y=8x in equation (ii)

8x=10x-4

8x-10x=-4

-2x= -4

x=2

Now, substituting the value of x= 2 in equation (i)

y=8x=8(2)=16

Solution of the system is (2,16)

6 0

3 years ago

Solve For d. d+ 4 = 16.21 d=12.21

pshichka [43]

This comes from subtracting 4 from both sides.

4 0

1 year ago

The values of a, b and c for the equation 8x2 - 2x = 1 are:

meriva

Answer:

The values are B

a= 8,b = -2 c= -1

7 0

3 years ago

9. Lisa bought h shares of Home Depot stock for x dollars per share. She sold all of the

aalyn [17]

Answer:

(hy)-(hx)=P

Step-by-step explanation: to get the total price of stock you multiply the cost of one share by how many shares were bought. After being sold years later they made a profit, you must subtract the total cost from this profit to find the total profit.

8 0

3 years ago