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3 years ago

A line contains the points (34, 12) and (32, 48) .

Mathematics

2 answers:

inessss [21]3 years ago

8 0

Slope formula : y2 - y1 / x2 - x1

( 34 , 12 ) and ( 32 , 48 )

48 - 12 / 32 - 34

36 / - 2

slope = - 18

ivann1987 [24]3 years ago

6 0

Answer:

-18

Step-by-step explanation:

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See the attached picture.

katrin2010 [14]

Answer:

67.5 ft

Step-by-step Explanation:

==>Given:

∆MAB and ∆MNP, such that:

AB is parallel to NP

MN and MP are transversal

MN = 71.5 ft

MP = 97.5 ft

AN = 22ft

MA = MP - AN = 71.5 - 22 = 49.5 ft

MB = x

==>Required:

Value of x

==>Solution:

From the figure given, since AB is parallel to NP, and MN and MP are transversal, thus:

<MAB is congruent to <MNP

<MBA is congruent to <MPN

This implies that ∆MAB is similar to ∆MNP

Therefore, the ratio of their corresponding sides would be the same, and also proportional.

Thus,

MA/MN = MB/MP

49.5/71.5 = x/97.5

=>Cross multiply to solve for x

49.5 × 97.5 = x × 71.5

4,826.25 = 71.5x

=>Divide both sides by 71.5

4,826.25/71.5 = x

67.5 = x

x = 67.5 ft

6 0

3 years ago

What percent of 60 is 12? Show your work.

Semmy [17]

Percent formula : is/of = %/100
is = 12
of = 60
% = x
now we sub

12/60 = x/100
cross multiply
(60)(x) = (12)(100)
60x = 1200
x = 1200/60
x = 20

check..
0.20(60) = 12
12 = 12 (correct)

so 20% of 60 is 12

7 0

3 years ago

Read 2 more answers

If you borrow $800 for 8 years at an

Archy [21]

$70,400 is the answer for edenuity

5 0

4 years ago

What is the value of -44.4-7?

KengaRu [80]

Answer:

-51.4

Step-by-step explanation:

3 0

4 years ago

Read 2 more answers

A rectangle has a perimeter of 30 feet and an area of 50 square feet. What are the dimensions of the rectangle?

REY [17]

Perimeter (p) = 2×length (l) + 2×width (w)
p = 2l+2w
area (a) = l×w, so solve for one (I'll use l):
$a = l \times w \\ l = a \div w \\ p = 2l + 2w = 2(l + w)$
since p = 30, and a = 50, substitute the "a÷w" in for l in the perimeter equation:
$p = 2(l + w) = 2((a \div w) + w) \\ = 2((a \div w) + ( {w}^{2} \div w)) \\ p= 2((a + {w}^{2}) \div w$
Now plug in p and a values:
$p= 2((a + {w}^{2}) \div w) \\ 30 = 2((50 + {w}^{2}) \div w) \\ 30 \div 2 = (50 + {w}^{2}) \div w \\ 15w = 50 + {w}^{2}$
$15w = 50 + {w}^{2} \\ {w}^{2} - 15w + 50 = 0 \\ (w - 5)(w - 10) = 0$
therefore width can be either 5 or 10 (but not both), so let's plug in:
l = a÷w = 50÷5 = 10
So if w = 5, then l = 10

D) 5 feet, and 10 feet

3 0

4 years ago