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goldfiish [28.3K]
3 years ago
10

Three-fourths of the sum of d and 4

Mathematics
1 answer:
Nookie1986 [14]3 years ago
7 0

Step-by-step explanation:

3/4 (d+4)

3/4 × d + 3/4×4

3d/4 +3

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A triangle with an area of 60 square inches has a height that is 16 less than 6 times its base.
PtichkaEL [24]

Step-by-step explanation:

the area of a triangle

baseline × height / 2

in our case

baseline × height / 2 = 60 in²

height = 6×baseline - 16

baseline × (6×baseline - 16) / 2 = 60

baseline × (3×baseline - 8) = 60

3×baseline² - 8×baseline = 60

baseline = x

3x² - 8x - 60 = 0

general solution to a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 3

b = -8

c = -60

x = (8 ± sqrt(64 - 4×3×-60))/(2×3) =

= (8 ± sqrt(64 + 720))/6 = (8 ± sqrt(784))/6 =

= (8 ± 28)/6

x1 = (8 + 28)/6 = 36/6 = 6

x2 = (8 - 28)/6 = -20/6 = -10/3

x2 as a negative number is not a valid solution for a length in a geometric shape.

so, x = 6 in is our solution for the baseline.

height = 6x - 16 = 6×6 - 16 = 36 - 16 = 20 in

base = 6 in

5 0
2 years ago
Sue has 20 biscuits in a tin.
cluponka [151]

Answer:

25

Step-by-step explanation:

25 because when you add 12 and 5 then subract the numerator you get 25

3 0
3 years ago
Solve the inequality<br><br> -7x + 12 = 75
yulyashka [42]

Answer:

-9

Step-by-step explanation:

-7x+12=75

-12       -12

-7x= 63

divide by -7 on both sides

x = -9

7 0
3 years ago
Find the values of x and y.<br> 58°<br><br> X =<br> and y=
artcher [175]

Answer:

x=16°

y=45°

Step-by-step explanation:

Download pdf
5 0
3 years ago
What is the domain of the function graphed below?
Leokris [45]

Answer:

A. x<7

Step-by-step explanation:

The point at x=7 is an open circle, so the sign is <, not ≤

6 0
3 years ago
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