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snow_tiger [21]
3 years ago
13

The perimeter of a rectangle is 80 feet. Find the dimensions if the length 5 feet longer than four times the width. Then find th

e area of the rectangle.

Mathematics
1 answer:
nydimaria [60]3 years ago
3 0

Answer:

l=33 feet

w=7 feet

Area= 231 feet

Step-by-step explanation:

Solution in Picture is attached

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This is a popular type of problem that appeared in mathematics textbooks in the 1970s and 1980s. can you find the answer? the su
kondaur [170]
A digit is a number in one of the places, so for example the number 54 has two digits; a tens place digit (5) and a ones place digit (4).

Say the mystery number is a two digit number = xy
* that's not x times y but two side by side digits.

Info given:
<span>the sum of the digits of a two-digit number is 6
x + y = 6 </span>
<span>if the digits are reversed, yx the difference between the new number and the original number is 18.

**To obtain the number from digits you must multiply by the place and add the digits up. (Example: 54 = 10(5) + 1(4))

Original number = 10x + y
Reversed/New number = 10y + x

Difference:
10y + x - (10x + y) = 18
9y - 9x = 18
9(y - x) = 18
y - x = 18/9
y - x = 2

Now we have two equations in two variables
</span>y - x = 2
<span>x + y = 6

Re-write one in terms of one variable for substitution.
y = 2 + x
sub in to the other equation to combine them.
x + (2 + x) = 6
2x + 2 = 6
2x = 6 - 2
2x = 4
x = 2

That's the tens digit for the original number. Plug this value into either of the equations to obtain y, the ones digit.

2 + y = 6
y = 4

number "xy" = 24

</span>
4 0
2 years ago
A, B, C, and D have the coordinates (-8, 1), (-2, 4), (-3, -1), and (-6, 5), respectively. Which sentence about the points is tr
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Answer:

This question is missing something

8 0
3 years ago
Read 2 more answers
Find the x- and y- intercepts of the following equation.
Ivanshal [37]

Answer:

The x-intercept is (4,0)

The y-intercept is (0,-3)

Step-by-step explanation:

Suppose you have a function f:

f = f(x,y) = 0

The x-intercept is the value of x when y = 0.

The x-intercept is the value of y when x = 0.

Solution

We have:

f(x,y) = -3x + 4y = -12

-3x + 4y + 12 = 0

x-intercept

The x-intercept is the value of x when y = 0. So:

-3x + 4(0) + 12 = 0

-3x + 12 = 0*(-1)

3x - 12 = 0

3x = 12

x = \frac{12}{3}

x = 4

The x-intercept is (4,0)

y-intercept

The y-intercept is the value of y when x = 0. So:

-3(0) + 4y + 12 = 0

4y + 12 = 0

4y = -12

y = \frac{-12}{4}

y = -3

The y-intercept is (0,-3)

5 0
2 years ago
Line segment AB has a length of 4 units. It is translated 2 units to the right on a coordinate plane to obtain line segment A'B'
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4 units, because a translation is a rigid motion, meaning it preserves segment length.

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3 years ago
Every time Liliana bakes a batch of brownies,
blagie [28]

Answer:

Liliana can make two batches of brownies!

Step-by-step explanation:

12/8 is equal to 6/4, which is double 3/4.

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3 years ago
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