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vovangra [49]
3 years ago
10

Replace ∗ with a monomial so that the result is an identity:(5x + ∗)(5x − ∗) = 25x2–0.16y4

Mathematics
1 answer:
Eddi Din [679]3 years ago
5 0

Answer:

0.4y²

Step-by-step explanation:

25x² - 0.16y⁴

(5x)² - (0.4y²)²

(5x - 0.4y²)(5x + 0.4y²)

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A picture frame (see figure) has a total perimeter of 3 feet. The width of the frame is 0.64 times its length. Find the dimensio
Naya [18.7K]

Answer:

\approx 0.59\text{ ft by }0.91\text{ ft}

Step-by-step explanation:

Let \ell represent the length of the rectangle. The width can be represented as 0.64\ell.

The perimeter of a rectangle with lengths l and w is given by p=2l+2w.

Thus, we have:

2\ell+2(0.64\ell)=3,\\2\ell +1.28\ell=3,\\3.28\ell=3,\\\ell=0.91463414634\approx 0.91

The width is then 0.64(0.91463414634)=0.58536585365\approx 0.59.

8 0
3 years ago
Find the straight line f(x) which intersects the coordinates (8,0) and (1, -7).
Delvig [45]

Answer:

y = x - 8

Step-by-step explanation:

7/7X - 8

the y intercept was the only tricky part

4 0
3 years ago
Read 2 more answers
Y= 3x+7<br> y = -2x-3<br> What would be the x and y for that solution
alexandr402 [8]

Answer:

So if we are solving for x and y. First we need to subtract both equations. We take each equation and put in parenthesis and subtract.

y-y = (3x+7)-(-2x-3) =

0 = 3x+7+2x+3

0 = 5x+10

-10 = 5x

-2 = x.

Now we need to solve for y.

Plug it in for the first equation. -2*3+7 = -6+7 = 1

Test if we are correct and try in the second equation.

-2*-2-3 = 4-3 = 1

<u>x = -2</u>

<u>y = 1</u>

6 0
3 years ago
Ms. Ahmed has a rectangular garden where she grows tomatoes. The length of her garden is represented by t + 4 and the width by 2
Fantom [35]

Answer:

Area of the garden in standard form:

Area = (2t^2) + 7t - 4

The dimension of the garden is 8ft × 7ft

Step-by-step explanation:

Length of the rectangular garden, L = t+4

Width of the garden, B = 2t - 1

Area = length * width

Area = (t+4) * ( 2t-1)

Area = (2t^2) + 7t - 4..….......(1)

If the Area = 56 ft^2

Substitute Area into (1)

56 = (2t^2) + 7t - 4

(2t^2) + 7t - 60 = 0

(2t^2) - 8t + 15t - 60 = 0

2t(t - 4) + 15(t - 4) = 0

(2t+15) (t-4) = 0

Let 2t + 15 =0

t = -7.5

Let t - 4 = 0

t = 4

* When t = -7.5

Length, L = -7.5 + 4 = -3.5 ft

Width, B = 2(-7.5) -1 = -16 ft

Since length and breadth cannot be negative, t = -7.5 is not possible

** When t = 4

Length, L = 4+4 = 8 ft

Width, B = 2(4) - 1 = 7 ft

Therefore, the dimension of the garden is 8ft × 7ft

6 0
2 years ago
Read 2 more answers
chad buys peanuts in 2 pound bags. he repackages them into bags that hold 5/6pound of peanuts . how many 2 pound bags of peanuts
nata0808 [166]
He needs only one because 2 is bigger than 5/6

hope this helps and you rate me good
8 0
3 years ago
Read 2 more answers
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