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3 years ago

Find the slope of the line whose equation is 2x + y = 5.

Mathematics

1 answer:

natali 33 [55]3 years ago

6 0

Answer:

Slope is -2x

Step-by-step explanation:

2x + y =5

2x-2x +y= 5 -2x

y= 5 -2x

so y= -2x+5

and the slope is -2x so the answer is -2x

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What’s the correct answer for this?

Anastasy [175]

Answer:

a) the co-ordinates of the center are (-3,4) and the length of the radius is 10 units

Center (h,k) = (-3 ,4) and radius 'r' = 10

Step-by-step explanation:

Step(i):-

Given circle equation is

$2 x^{2} +12 x+2 y^{2} -16 y-150 =0$

Dividing "2' on both sides, we get

$x^{2} +6 x+ y^{2} -8 y-75 =0$

Step(ii):-

now

$x^{2} +2(3x) + (3)^{2}-(3)^{2} +y^{2} -2 (4 y)+(4)^{2}-(4)^2 -75 =0$

by using (a+b)² =a²+2 a b+b²

(a-b)² =a²-2 a b+b²

$(x+3)^{2}-(3)^{2} +(y-4)^{2}-(4)^2 -75 =0$

$(x+3)^{2}-9 +(y-4)^{2}-16 -75 =0$

$(x+3)^{2} +(y-4)^{2}-100 =0$

$(x+3)^{2} +(y-4)^{2}=100$

$(x+3)^{2} +(y-4)^{2}=(10^2)$

by comparing

$(x-h)^{2} +(y-k)^{2}=(r^2)$

Final answer:-

Center (h,k) = (-3 ,4) and radius 'r' = 10

7 0

3 years ago

What is x please help

IRISSAK [1]

Answer:

x = 71

Step-by-step explanation:

Given the triangle in red, we can find the unknown angle since the sum of the angles of a triangle are 180. Call the unknown angle GHI

B+ D+ GHI = 180

31+ 40 + GHI = 180

71 + GHI = 180

GHI = 180 -71

GHI = 109

We know that GHI + x = 180 since it forms a straight line

GHI + x =180

109 + x = 180

x = 180-109

x = 71

7 0

3 years ago

The volume of a rectangular prism is 840 cubic inches. If the area of the base is 60 cubic inches, what is its height?

Ugo [173]

Answer:

the height is 14

Step-by-step explanation:

since the volume in a rect. prism is V = width x height x length, and the width times length is the area of the base, for height we need to do 840/60 to find the height

840/60 = 14

4 0

3 years ago

the tallest tree in the forest is 150 feet from the water tower. unfortunatly in a lightning storm the tallest tree was struck a

gogolik [260]

The interior angles of a triangle add up to 180

180 - 97 - 34 = 49

150 / Sin 34 = b / Sin 49

multiply both sides by Sin 49

(Sin (49)* 150) / Sin 34 = b

b = 270.39 feet

3 0

3 years ago

A 5×6 rectangular grid with unit cells is given. Let A(0, 0) and B(5, 6) be the bottom-left corner and top-right corner, respect

harina [27]

Answer:

462 paths from A to B

Step-by-step explanation:

The question is incomplete. However, a possible question is to determine the number of possible paths on the grid map.

The first step is to represent the grid map itself. (See attachment 1)

From the question, we understand that: