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Eva8 [605]
3 years ago
7

Write the slope-intercept form of the equation of the line through the given point.

Mathematics
1 answer:
jeka943 years ago
6 0

Answer:

y = mx + b.

y = 7/8x - 3/2

Step-by-step explanation:

Hope this helps!! :))

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One factor in flood safety along a levee is the area that will absorb water should the levee break. The coordinates that make up
Anit [1.1K]

Let

A(0,0)\\ B (2.8, 2.1)\\C(4.3, 4.4)

using a graph tool

see the attached figure

The figure is a triangle

we know that

<u>The Heron's Formula</u> is a method for calculating the area of a triangle when you know the lengths of all three sides.

Hero's Formula is equal to

Area=\sqrt{p*(p-a)*(p-b)*(p-c)}

where

p is  is half the perimeter of the triangle

 a,b,c are the lengths of the sides of a triangle

so

Step 1

<u>Find the length sides of the triangle</u>

a) <u>Find the distance AB</u>

d =\sqrt{(y2-y1)^{2} +(x2-x1)^{2}}

Substitute

d =\sqrt{(2.1-0)^{2} +(2.8-0)^{2}}

d =3.5\ mi}

b) <u>Find the distance AC</u>

d =\sqrt{(y2-y1)^{2} +(x2-x1)^{2}}

Substitute

d =\sqrt{(4.4-0)^{2} +(4.3-0)^{2}}

d =6.15\ mi}

c) <u>Find the distance BC</u>

d =\sqrt{(y2-y1)^{2} +(x2-x1)^{2}}

Substitute

d =\sqrt{(4.4-2.1)^{2} +(4.3-2.8)^{2}}

d =2.75\ mi}

Step 2

<u>Find the perimeter of the triangle</u>

Perimeter= 3.5+6.15+2.75 =12.4\ mi

<u>Find the half of the perimeter </u>

p=\frac{12.4}{2} = 6.2\ mi

Step 3

<u>Find the area of the triangle</u>

Area=\sqrt{6.2*(6.2-3.5)*(6.2-6.15)*(6.2-2.75)}

Area=\sqrt{6.2*(2.7)*(0.05)*(3.45)}

Area= 1.69\ mi^{2}

therefore

<u>the answer is the option </u>

a) 1.65 mi^2.

4 0
3 years ago
Read 2 more answers
Which answer choice best represents 3/15?
uysha [10]

Uhh... what are the options?

Here's some possible ones:

0.2

1/5

4 0
2 years ago
Read 2 more answers
How do you solve this equation? 8=3(q-10)-10
IRISSAK [1]
Q = 16
View the attached image for work!

6 0
3 years ago
Multiply. Write your answer as a fraction in simplest form.<br> 2x7/16
Orlov [11]

Answer:

7/8

Step-by-step explanation:

7/16×2=7/16×2/1

          =14/16

          =7/8

3 0
3 years ago
Find the domain of fg. f(x)=x+2 g(x)=1/x+2 a. all real numbers b. all real numbers, except 2 c. all real numbers, except -2 d. (
sleet_krkn [62]

Answer:

all real numbers

Step-by-step explanation:

the domain will always be all real numbers

6 0
3 years ago
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