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docker41 [41]
3 years ago
8

Find the equation of the line.

Mathematics
1 answer:
MrRa [10]3 years ago
5 0

Answer:

the equation is in form

y=mx+b where

m=slope

and

b=y-int (the y value for the vertex)

first we look to see what the y value is for the point where x=0 and we can see that it is 5 so b=5

then we look at the slope, slope it the amont of units up then to the side are needed to reach the next point, in this case the line goes up 1 then to the right 1 so the slope is 1/1 (1) so the full equation is

y=x+5

Step-by-step explanation:

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one interior angle of a polygon is a right angle and each of the other interior angles is 126°. Calculate the number of sides of
Vikentia [17]

Answer:

There are 7 sides.

Step-by-step explanation:

Let's Use the formula that states that the sum of the angles of an n-sided polygon is given by.

S=(n−2)180

Since we are given that the two angles are right, the angles and each of the remaining angles is 144.

And Therefore, the sum is:

S=90

(n−2)144

(n−2)180

=90

+90

+(n−2)144

⇒(n−2)180

−(n−2)144

=180

⇒(n−2)(180

−144

)=180

⇒(n−2)(36

=180

⇒n−2=

36

180

​⇒n−2=5

⇒n=5+2=7

Hence, the polygon has 7 sides.

6 0
2 years ago
Read 2 more answers
Find the solution to the following system by substitution.
ASHA 777 [7]

Answer:

(5,15)

Step-by-step explanation:

A.

5 0
2 years ago
Read 2 more answers
Kayla buys 5 candles for x dollars each and 5 candle holders for $3.50 each. Kayla spends a total of $27.50 for the candles and
wolverine [178]
What is the question?
7 0
2 years ago
Alandra's rectangular cake pan is 33cm by 23 cm. She has enough cake batter to fill it to a depth of 3 cm. Instead, Alandra want
Alisiya [41]

Answer:

Alandra can fill 60 whole cones

Step-by-step explanation:

The volume of a rectangular prism is V = L × W × H, where

  • L is its length
  • W is its width
  • H is its height

The volume of the cone is V = \frac{1}{3} π r² h, where

  • r is the radius of its base
  • h is its height

∵ Alandra's rectangular cake pan is 33 cm by 23 cm

∴ L = 33 cm and W = 23 cm

∵ She has enough cake batter to fill it to a depth of 3 cm.

∴ H = 3 cm

→ Find the volume of the batter using the 1st rule above

∵ V = 33 × 23 × 3

∴ V = 2277 cm³

∵ Alandra wants to pour the batter into ice cream cones

∵ She plans to fill each cone to a depth of 9 cm with a diameter of 4 cm

∴ h = 9 cm

∵ r = \frac{1}{2} diameter = \frac{1}{2} (4)

∴ r = 2 cm

→ Substitute them in the 2nd rule above to find the volume of each cone

∵ V = \frac{1}{3} (π) (2)² (9)

∴ V = 12π cm³

→ To find the number of cones divide the volume of the batter by

   the volume of each cone

∵ Number of cones = 2277 ÷ 12π

∴ Number of cones = 60.3993

→ We will take the whole number only because we need the whole cones

∴ Alandra can fill 60 whole cones

6 0
3 years ago
Find the solution of Equation: (3x-2)/(x+3)-1=(3x-3)/(x+1)-2
saveliy_v [14]

Answer:

Solution tends to infinity

Step-by-step explanation:

Given the expression

(3x-2)/(x+3)-1=(3x-3)/(x+1)-2

This can also be expressed as;

(3x-2)/x+2 = 3x-3/x-1

3x-2/x+2 = 3(x-1)/x-1

3x-2/x+2 = 3

Cross multiply

3x-2 = 3(x+2)

3x-2 =3x+6

Collect like terms

3x-3x =6+3

0x = 9

x = 9/0

x = infinity

Hence the expression had no solution. It tends to infinity

3 0
3 years ago
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