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kodGreya [7K]
3 years ago
14

Please help, 20 points. Perimeter :)

Mathematics
1 answer:
djyliett [7]3 years ago
8 0

Answer:

<h2>D. (42 - 2x)(32 - 2x) = 900</h2>

Step-by-step explanation:

<em>Look at the picture.</em>

The dimensions of the picture:

(42 - 2x)in × (32 -2x)in

The formula of an area of a rectangle:

A = l · w

l - length, w - width

Substitute l = (42 - 2x), w = (32 - 2x) and A = 900

(42 - 2x)(32 - 2x) = 900

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A square is cut in half and the diagonal creating two equal triangles of each triangle has an area of 4.5 in.² what is the lengt
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8 Ft 9In i think dont kill me if its wrong
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lapo4ka [179]
Did You Figure This Out I Need Help Too. Lol
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3 years ago
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What are 3 consecutive integers whose product is -120
iren2701 [21]
Consecutive integers are 1 apart
x,x+1,x+2
(x)(x+1)(x+2)=-120
x^3+3x^2+3x=-120
add 120 to both sides
x^3+3x^2+3x+120=0
factor
(x+6)(x^2-3x+20)=0
set each to zero

x+6=0
x=-6

x^2-3x+20=0
will yeild non-real result, discard
x=-6
x+1=-5
x+2=-4
the numbers are -4,-5,-6



use trial and error and logic
factor 120
120=2*2*2*3*5
how can we rearange these numbers in (x)(y)(z) format such that they multiply to 120?
obviously, the 5 has to stay since 2*5=10 which is out of range
so 2*2*2*3 has to arrange to get 3,4 or 4, 6 or 6,7
obviously, 7 cannot happen since it is prime
3 and 4 results in in 12, but 2*2*2*3=24
therfor answer is 4 and 6
they are all negative since negaive cancel except 1

the numbers are -4,-5,-6
5 0
3 years ago
Triangle abc is similar to triangle def solve for both unknown sides
Serhud [2]

Given:

Triangles ABC and DEF are similar triangles.

AB = 6 m, BC = 16 m, CA = 15 m, DE = x, EF = 32 m, FD = y

To find:

The values of unknown sides, i.e., x and y.

Solution:

We know that the corresponding parts of similar triangles are proportional and triangles ABC and DEF are similar triangles, so

\dfrac{AB}{DE}=\dfrac{BC}{EF}=\dfrac{CA}{FD}

\dfrac{6}{x}=\dfrac{16}{32}=\dfrac{15}{y}

\dfrac{6}{x}=\dfrac{1}{2}=\dfrac{15}{y}

Now,

\dfrac{6}{x}=\dfrac{1}{2}

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12=x

Similarly,

\dfrac{1}{2}=\dfrac{15}{y}

1\times y=15\times 2

y=30

Therefore, the measure of unknown sides are x = 12 m and y = 30 m.

7 0
2 years ago
What is the slope of the line y=3
zzz [600]

Answer:

slope = 0

Step-by-step explanation:

recall that the equation of a line can be expressed as:

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

in our case we are given y = 3

which can be re-written:

y = (0)x + 3

if we compare this with the general equation above, we can see that

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3 0
4 years ago
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