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3 years ago

The graph of a line passes through the points (0, -2) and (6, 0). What is the equation of the line?

Mathematics

1 answer:

ra1l [238]3 years ago

4 0

Answer:

y=0.3x-2

Step-by-step explanation:

first find the gradient

m=y2-y1/x2-x1

m=0-(-2)/6-0

m=0.3

then use this equation

y-y1=m(x-x1)

y-(-2)=0.3(x-0)

y+2=0.3x-0

y=0.3x-2

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Please answer this correctly

Katarina [22]

Answer:

SA = 1,176 ft².

Step-by-step explanation:

To find the surface area of the triangular prism, we can solve for the rectangular base, both triangular faces, and lateral sides separately.

For the rectangular base: (Use formula l×w)

20 × 18 = 360 ft²

For the triangular faces: (Use formula 1/2(b·h)

1/2(18 × 12) = 108 ft²

Since there are two faces, we need to double the amount.

108 × 2 = 216 ft².

Finally, solve for the lateral sides:

20 × 15 = 300 ft².

There are two sides, so:

300 × 2 = 600 ft².

Add up all of these areas:

600 + 216 + 360 = 1,176 ft²

5 0

3 years ago

In the adjoining figure , APB and AQC are equilateral triangles. Prove that PC = BQ. ( Hint : <img src="https://tex.z-dn.net/?f=

just olya [345]

Answer:

See Below.

Step-by-step explanation:

Statements: Reasons:

$\displaystyle 1)\text{ } \Delta APB \text{ and } \Delta AQC \text{ are equilateral triangles}$ Given

$\displaystyle 2) \text{ } m \angle PAB = 60$ Definition of equilateral.

$3)\text{ } m \angle QAC = 60$ Definition of equilateral.

$4)\text{ } m\angle PAB = m\angle QAC$ Substitution

$5)\text{ } m\angle PAC=m\angle PAB+m\angle BAC$ Angle Addition

$\displaystyle 6)\text{ } m\angle QAB=m\angle QAC+m\angle BAC$ Angle Addition

$7)\text{ } m\angle QAB=m\angle PAB+m\angle BAC$ Substitution

$\displaystyle 8)\text{ } m\angle PAC=m\angle QAB$ Substitution

$9)\text{ } PA=BA$ Definition of equilateral

$10)\text{ } AC=AQ$ Definition of equilateral

$\displaystyle 11)\text{ } \Delta PAC \cong \Delta BAQ$ Side-Angle-Side Congruence*

$\displaystyle 12)\text{ } PC=BQ$ CPCTC

* SAS Congruence:

PA = BA

∠PAC = ∠QAB

AC = AQ

6 0

3 years ago

Read 2 more answers

out of every 100£ that Judy earns at her part-time job, she saves 25£ for college. The amount she saves is directly proportional

poizon [28]

Answer: 970

Step-by-step explanation:

3,880 divided by 100= 38.8*25=970

5 0

3 years ago

the number of hours h that it takes for ice to malt varies inversely with the temperature t it takes 3hours for a piece of ice t

Reptile [31]

Answer:

Step-by-step explanation:

Formula

h = k/temp

Givens

h = 4 hours

t = 45 degrees

Solution

3 = k / 45 Multiply both sides by 45

3*45 = k

k = 135

Problem

what happens when h = 4 hours?

h = 4

k = 135

temp = ?

4 = 135 / temp Multiply both sides by temp

4temp = 135 Divide by 4

temp = 135 / 4

temp = 33.75

Note that as the time went up, the temperature came down

6 0

2 years ago

FREEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE Poiunts

otez555 [7]

Answer:

YAYY

Step-by-step explanation:

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3 years ago