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AleksandrR [38]
2 years ago
8

The length of a rectangle is four times it width. If the perimeter of the rectangle is 70 ft, find its length and width

Mathematics
1 answer:
mojhsa [17]2 years ago
7 0

Answer:

length= 4w

width= w

perimeter= 2(l+w)

70= 2(4w+w)

70=8w+2w

<u>70</u>=<u>10</u>w

10. 10.

w= 7ft

l= 7×2

=56

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5. Find the measures of the numbered angles.<br>​<br>6. Find the valuses of x and y.
DiKsa [7]

Answer:

5)

<2 = 79°

<1 = 101°

<3 = 101°

6)

x = 5

y = 3

Step-by-step explanation:

5)

<2 = 79°

<1 = <3 = 180 - 79 = 101°

6)

4y - 6 = 2y

2y = 6

y = 3

2x + 4 = x + 9

x = 5

3 0
2 years ago
2^2 times 2^3<br> a.2^4<br> b.2^5<br> c.2^6<br> d.4^6
maxonik [38]

Answer:

The quadratic equations and their solutions are;

9 ± √33 /4 = 2x² - 9x + 6.

4 ± √6 /2 = 2x² - 8x + 5.

9 ± √89 /4 = 2x² - 9x - 1.

4 ± √22 /2 = 2x² - 8x - 3.

Explanation:

Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.

We have to solve all of the five equations to be able to match the equations with their solutions.

2x² - 8x + 5, here a = 2, b = -8, c = 5.                                                  x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4.     24 can also be written as 4 × 6 and √4 = 2. So                                                                                     x = 8 ± 2√6 / 2×2= 4±√6/2.

2x² - 10x + 3, here a = 2, b = -10, c = 3.                                                   x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So                                                                              x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.

2x² - 8x - 3, here a = 2, b = -8, c = -3.                                                    x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4.     88 can also be written as 4 × 22 and √4 = 2. So                                                                             x = 8 ± 2√22 / 2×2 = 4± √22/2.

2x² - 9x - 1, here a = 2, b = -9, c = -1.                                                     x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4.                                          x = 9 ± √89 / 4.

2x² - 9x + 6, here a = 2, b = -9, c = 6.                                                    x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4.                                                                             x = 9 ± √33 / 4 .

5 0
2 years ago
Read 2 more answers
Please asap this is the only question and I'm also running out of time thank youuuuu
Wittaler [7]
One question, and no one answered it for you?

Simple,

the answer is....(6,5) Point of Intersection.

I triple checked my work. :)


7 0
2 years ago
30 feet below the surface of the water. You are ascending towards the
fomenos

Answer is slope of 5


Step by step


You can graph the slope as seen on the attached picture. You go up 30, you go right +6. Slope is y/x, so 30/6, equals 5



You can also use the slope formula


(y2-y1) over (x2-x1)


Using points on the graph


(6,0) and (0,-30)


(-30-0 ) over (0-6)


-30 over -6


-30/-6


= 5


5 0
2 years ago
4^12*6^15*7^21<br><br> HEELPOOOOPO
Varvara68 [4.7K]

9514 1404 393

Answer:

  4^4·6^5·7^7 = 1,639,390,814,208

Step-by-step explanation:

Taking the cube root multiplies each exponent by 1/3.

  ((4^12)(6^15)(7^21))^(1/3) = (4^(12/3))·(6^(15/3))·(7^(21/3)) = (4^4)(6^5)(7^7)

6 0
2 years ago
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