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puteri [66]
3 years ago
8

Write the slope-intercept form of the equation of the line through the given point with the given slope. through: (-2, 4), slope

=1/2
please explain and show work.
Mathematics
1 answer:
ddd [48]3 years ago
3 0

Answer:

y= ½x +5

Step-by-step explanation:

<u>Slope- </u><u>intercept </u><u>form</u><u>:</u>

y= mx +c, where m is the slope and c is the y- intercept

Given that the slope is ½, substitute m= ½ into the equation.

y= ½x +c

To find the value of c, substitute a pair of coordinates into the equation.

When x= -2, y= 4,

4= ½(-2) +c

4= -1 +c

c= 4 +1

c= 5

Hence, the equation of the line is y= ½x +5.

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Dmitriy789 [7]

Answer:

k is greater than negative 2 or negative 2 is less than k.

Step-by-step explanation:

2k-8>-12

+8 +8

2k>-4

÷2 ÷2

k>-2

k is greater than negative 2

3 0
3 years ago
Find the 7th term in the expansion of (3x^2+4)^11​
stiks02 [169]

Answer:

6.9261307e+23

Step-by-step explanation:

7 0
3 years ago
Find the area of the shaded region. With steps
Agata [3.3K]

Answer: the area of the shaded region is 21.5 cm²

Step-by-step explanation:

The formula for determining the area of a circle is expressed as

Area = πr²

Where

r represents the radius of the circle.

π is a constant whose value is 3.14

From the information given,

Diameter of circle = 10 cm

Radius = diameter/2 = 10/2 = 5 cm

Area of circle = 3.14 × 5² = 78.5 cm²

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4 0
3 years ago
#1) Mrs. Ebanks planted two trees on a
uranmaximum [27]

Answer:

D = 12.94 m

Step-by-step explanation:

Coordinates of first tree = A(0,8)

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We need to find the distance between the two trees. We can find it using distance formula for coordinates as follows :

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

We have, x₁ = 0, x₂ = 12, y₁ = 8, y₂ = 4

Now using distance formula,

D=\sqrt{(12-0)^2+(4-8)^2}\\\\=\sqrt{144+16} \\\\=12.64\ m

So, the distance between the two trees is 12.64 m.

8 0
3 years ago
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vovikov84 [41]
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3 0
3 years ago
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