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Alika [10]
3 years ago
12

Use the figure shown. Find the slope of the line.

Mathematics
1 answer:
lilavasa [31]3 years ago
8 0

Answer:

The slope is -\frac{1}{2}

Step-by-step explanation:

With points A(-2, 1), and B(-4, 2), slope (m) of the line can be calculated using the formula m = \frac{y_2 - y_1}{x_2 - x_1},

Where,

y_2 = 2

y_1 = 1

x_2 = -4

x_1 = -2

Plug in the values into the slope formula:

m = \frac{2 - 1}{-4 -(-2)}

m = \frac{2 - 1}{-4 + 2}

m = \frac{1}{-2}

m = -\frac{1}{2}

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F(x) = x2 - 4.<br> Find the inverse of the function
Lisa [10]

Answer:

f^{-1}(x) = √ x + 4

Step-by-step explanation:

step 1) replace f(x) with y

y = x² - 4

step 2) switch the x and y (because every (x, y) has a (y, x))

x = y² - 4

step 3) add 4 to both sides of the equal sign

x + 4 = y²

step 4) take the square root of both sides of the equal sign (the square root symbol cancels out the ²)

√ x + 4 = y

step 5) you know have the inverse of f(x) = x² - 4

f^{-1}(x) = √ x + 4

5 0
2 years ago
if a 14 foot tree casts a 8 foot long shadow. how tall is a tree that casts a 4 foot long shadow?
kvasek [131]

7-foot

EXPLANAT

Given:

14 foot tree

8foot shadow

4foot shadow

Let h be the height of a tee that casts a 4 foot long shadow.

Using proportion;

14 foot = 8 ft shadow

h = 4 ft shadow

Cross - multiply

8h = 56

Divide both-side by 8

h = 7 foot.

Hence, the tree is 7-foot.

4 0
1 year ago
Please help and I'll love you foreverrrrr no joke!!!
spin [16.1K]
Only like sedans: 25- 15 = 10

Only like hatchbacks: 40-15 = 25

Like both: 15

Like none of them: 100-10-25-15 = 50

Dislike sedans: 100 - 10-15 = 75

Dislike hatchbacks: 100-25-15 = 60

So dislikes: sedans>hatchbacks
4 0
3 years ago
-20y + 15 = 2 - 16y + 11
shtirl [24]
In order to answer this, we will first need to combine like terms on each side. on the left, you can leave them alone. however on the right, we will need to combine 2 and 11. this is 13. the right side becomes 13-16y. after that, we can add 20y to both sides. that equals 15=13+4y now we can subtract 13 from both sides. 2=4y. then we divide by 4 on both sides to find y. y=.5
7 0
3 years ago
Given that<br> 5x:9=8:3<br> Calculate the value of x<br> Give your answer in its simplest form.
lbvjy [14]

Answer:

24/5

Step-by-step explanation:

5x : 9

(8 : 3)×3

5x : 9

24 : 9

5x = 24

x = 24/5 = 4/4/5

8 0
1 year ago
Read 2 more answers
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