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3 years ago

write a equation in slope-intercept form for the line that is parallel to y=2x-8 and passes through the point(1,5).

Mathematics

1 answer:

Brilliant_brown [7]3 years ago

7 0

Answer:

y = 2x + 3

Step-by-step explanation:

y = 2x - 8 passes through ( 1,5 )

y = 2x + 3 is parallel to y = 2x - 8 because it has the same m( 2x)

and it also passes through ( 1, 5 )

Try Desmos, very helpful

Hope this helps

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Here is a triangular pyramid and its net.

galben [10]

Answer:

a) Area of the base of the pyramid = $15.6\ mm^{2}$

b) Area of one lateral face = $24\ mm^{2}$

c) Lateral Surface Area = $72\ mm^{2}$

d) Total Surface Area = $87.6\ mm^{2}$

Step-by-step explanation:

We are given the following dimensions of the triangular pyramid:

Side of triangular base = 6mm

Height of triangular base = 5.2mm

Base of lateral face (triangular) = 6mm

Height of lateral face (triangular) = 8mm

a) To find Area of base of pyramid:

We know that it is a triangular pyramid and the base is a equilateral triangle. $\text{Area of triangle = } \dfrac{1}{2} \times \text{Base} \times \text{Height} ..... (1)\\$

${\Rightarrow \text{Area of pyramid's base = }\dfrac{1}{2} \times 6 \times 5.2\\\Rightarrow 15.6\ mm^{2}$

b) To find area of one lateral surface:

Base = 6mm

Height = 8mm

Using equation (1) to find the area:

$\Rightarrow \dfrac{1}{2} \times 8 \times 6\\\Rightarrow 24\ mm^{2}$

c) To find the lateral surface area:

We know that there are 3 lateral surfaces with equal height and equal base.

Hence, their areas will also be same. So,

$\text{Lateral Surface Area = }3 \times \text{ Area of one lateral surface}\\\Rightarrow 3 \times 24 = 72 mm^{2}$

d) To find total surface area:

Total Surface area of the given triangular pyramid will be equal to <em>Lateral Surface Area + Area of base</em>

$\Rightarrow 72 + 15.6 \\\Rightarrow 87.6\ mm^{2}$

Hence,

a) Area of the base of the pyramid = $15.6\ mm^{2}$

b) Area of one lateral face = $24\ mm^{2}$

c) Lateral Surface Area = $72\ mm^{2}$

d) Total Surface Area = $87.6\ mm^{2}$

8 0

2 years ago

A,B,C,D what’s the correct answer

zzz [600]

Answer:

C. 16

Explanation:

You find 4/6 of 24

4/6 x 24 = 96

Then you divide 96 by 6

96/6 = 16

You can check your work by doing 16 x 6

7 0

3 years ago

Read 2 more answers

Help please and thanks! I always give brainliest!

Alika [10]

Answer:

X = 18

y = 9

Step-by-step explanation:

Basically the 2 diagnols bisect each other making them congruent. so that makes

x-3 = 15 and y + 3 = 12

simplify and

the. you simplify and get x = 18 and y =9

3 0

2 years ago

Evaluate the expression if k = 5 and w = 3 *<br> 3k + 2w - 4K

WINSTONCH [101]

Answer is 1

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7 0

3 years ago

HELP PLS :C!!

nevsk [136]

Answer:

so originally there was 37 now there is 25 so if you trying to find out how many left you take 37-25=12 and 12 is how many left that zoo. hope this helps

i would appreciate the brainliest

8 0

3 years ago

Read 2 more answers