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sweet-ann [11.9K]
3 years ago
8

Slope intercept form

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
8 0

y=mx+b

m=slope

b= y intercept (when x = 0

y= y value

x=x value

you already have your slope given plug in you x and y values into the equation and reverse the math, like you would do to "solve for X this time B"

you will then get you whole equation

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Type the correct answer in the box.
gogolik [260]

Answer:

en español porfa no ablo ingles

7 0
2 years ago
A flagpole has a height of 10 yards. It will be supported by 3 cables, each of which is attached to the flagpole at a point 4 ya
Contact [7]
Pytagorean theorem

height10
attached at 10-4=6 yards from bottom
8 yards from base to away


a^2+b^2=c^2
a and b are side legnths and c=hypotonuse
so therfore we are given a and b and we must solve for c


so
6=height
8=base

6^2+8^2=c^2
36+64=c^2
100=c^2
square root
10=c

so therfor the legnth of each cable is 10 yards
3 cables so 3 times 10=30

30 yards needed

7 0
2 years ago
A plane can fly 1440 miles in the same time as it takes a car to go 400 miles. If the car travels 130 mph
patriot [66]

Answer:

The speed will be "144 mph".

Step-by-step explanation:

Let the speed of the plane be "x mph".

then,

The car's speed be "x-130 mph".

According to the question,

⇒ \frac{1440}{x} =\frac{400}{x-130}

By applying cross-multiplication, we get

⇒    1440(x-130)=400x

⇒ 1440x-187200=400x

⇒    1440x-140x=187200

⇒                1300x=187200

⇒                       x=\frac{187200}{1300}

⇒                          =144 \ mph

8 0
2 years ago
Find the values of x,y,and z
iren2701 [21]

Answer:

Step-by-step explanation:

In parallelogram opposite sides are equal.

y = 12

x = 5

In parallelogram diagonals bisect each other

z = 8

4 0
2 years ago
Jenna has a garden with coordinate A(2,-1), B(4,3), C(9,3), D(7,-1) where each unit is 1 foot.
Sladkaya [172]

Answer:

a) The dimensions of the garden are: 4.5 ft and 5 ft

b) 22.5 ft² of fencing material

c) The most precise name for the shape of the garden is a Rectangle

Step-by-step explanation:

a) Jenna has a garden with coordinate A(2,-1), B(4,3), C(9,3), D(7,-1) where each unit is 1 foot.

What are the dimensions of the garden rounded to the nearest 10th? (Looking for the lengths of the sides)

When we are given coordinates, we find the dimensions using the formula

= √(x2 - x1)² - (y2 - y1)²

(x1 , y1) and (x2 - y2)

For side AB

A(2,-1), B(4,3)

= √(4 - 2)² + (3 - (-1))²

= √2² + 4²

= √4 + 16

= √20 units = √20 feet

= 4.472135955 feet

Approximately = 4.5 feet

For side BC

B(4,3), C(9,3)

= √(9 - 4)² + (3 - 3)²

= √5² + 0²

= √25

= 5 units = 5 feet

For side CD

C(9,3), D(7,-1)

= √(7 - 9)² + (-1 - 3)²

= √(-2)² + -4²

= √4 + 16

= √20 units = √20 feet

= 4.472135955 feet

Approximately = 4.5 feet

For side AD

A(2,-1), D(7,-1)

= √(7 - 2)² + (-1 - (-1))²

= √5² + (-1 + 1)²

= √5² + 0²

= √25

= 5 units = 5 feet

Therefore, the dimensions of the garden are: 4.5ft and 5 ft

b) If Jenna decides to buy fencing for the garden, how much fence material does she need to buy? (Free response)

To buy fencing material for the garden, we have to find the area of the garden

Formula = Length × Width

= 4.5 ft × 5 ft

= 22.5 ft²

Therefore, Jenna needs to buy 22.5 square feet of fencing material.

c) What is the most precise name for the shape of the garden?

From the above calculation, we can see that

Side AB = Side CD = 4.5 ft

Side BC = Side AD = 5 ft

Therefore, the most precise name for the shape of the garden is a Rectangle

6 0
3 years ago
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