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3 years ago

Remember, the perimeter of a rectangle is twice the length plus twice the width. Use w to represent the width.

Mathematics

2 answers:

lianna [129]3 years ago

7 0

Equation
P = 2L + 2W
P = perimeter, L = length, W = width

MAVERICK [17]3 years ago

4 0

Answer:

just multiply the length and width both 2 times

Step-by-step explanation:

L=L(2)

W=W(2)

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The math project scores for two different classes are shown in the box plot below.

Vladimir79 [104]

Answer:

Step-by-step explanation:

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3 years ago

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A tree grows 9.25 inches per year. If the tree continues to grow at this rate, how much will the tree grow in 3.75 year.

MakcuM [25]

9.25 times 3.75=The tree will grow to 34.6875 inches in 3.75 years if it continues to grow at this rate.

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4 years ago

Given that p+q=97 and q-p=-27, find the values of p and q.

Ber [7]

Answer:

p=62 q= 35

Step-by-step explanation:

$solving \: the \: equation \: simultaneously \\ q + p = 97 - - - - (1) \\ q - p = - 27 - - - - - (2) \\ subtracting \: equation \: (2)from \: one(1) \\ q - q = 0 \\ p + p = 97 - - 27 \\ 2p = 97 + 27 \\ 2p = 124 \\ dividing \: bothsides \: by \: 2 \\ \frac{2p}{p} = \frac{124}{2} \\ p = 62 \\ put \: p \: = 62 \: into \: equation \: (1) \\ q + 62 = 97 \\ q = 97 - 62 \\ q = 35 \\ therefore \: p = 62 \: \: and \: q = 35 \\$

<h2>hope this helps</h2>

<h2>please rate and mark brainliest</h2>

8 0

2 years ago

PLease answer !!! Find constants $A$ and $B$ such that \[\frac{x + 7}{x^2 - x - 2} = \frac{A}{x - 2} + \frac{B}{x + 1}\] for all

Xelga [282]

Answer:

1. $(A,B) = (3,-2)$

2. The values of t are: -3, -1

Step-by-step explanation:

Given

$\frac{x + 7}{x^2 - x - 2} = \frac{A}{x - 2} + \frac{B}{x + 1}$

$|t| = 2t + 3$

Required

Solve for the unknown

Solving $\frac{x + 7}{x^2 - x - 2} = \frac{A}{x - 2} + \frac{B}{x + 1}$

Take LCM

$\frac{x + 7}{x^2 - x - 2} = \frac{A(x+1) + B(x-2)}{(x - 2)(x-1)}$

Expand the denominator

$\frac{x + 7}{x^2 - x - 2} = \frac{A(x+1) + B(x-2)}{x^2 - 2x + x -2}$

$\frac{x + 7}{x^2 - x - 2} = \frac{A(x+1) + B(x-2)}{x^2 - x -2}$

Both denominators are equal; So, they can cancel out

$x + 7 = A(x+1) + B(x-2)$

Expand the expression on the right hand side

$x + 7 = Ax + A + Bx - 2B$

Collect and Group Like Terms

$x + 7 = (Ax + Bx) + (A - 2B)$

$x + 7 = (A + B)x + (A - 2B)$

By Direct comparison of the left hand side with the right hand side

$(A + B)x = x$

$A - 2B = 7$

Divide both sides by x in $(A + B)x = x$

$A + B = 1$

Make A the subject of formula

$A = 1 - B$

Substitute 1 - B for A in $A - 2B = 7$

$1 - B - 2B = 7$

$1 - 3B = 7$

Subtract 1 from both sides

$1 - 1 - 3B = 7 - 1$

$-3B = 6$

Divide both sides by -3

$B = -2$

Substitute -2 for B in $A = 1 - B$

$A = 1 - (-2)$

$A = 1 + 2$

$A = 3$

Hence;

$(A,B) = (3,-2)$

Solving $|t| = 2t + 3$

Because we're dealing with an absolute function; the possible expressions that can be derived from the above expression are;

$t = 2t + 3$ and $-t = 2t + 3$

Solving $t = 2t + 3$

Make t the subject of formula

$t - 2t = 3$

$-t = 3$

Multiply both sides by -1

$t = -3$

Solving $-t = 2t + 3$

Make t the subject of formula

$-t - 2t = 3$

$-3t = 3$

Divide both sides by -3

$t = -1$

<em>Hence, the values of t are: -3, -1</em>

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3 years ago

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Below are two different functions, f(x) and g(x). What can be determined about their y-intercepts?

ollegr [7]

D-cannot be determined. g(x) is a vertical function, which is not a function. You cannot have the same x-value repeated. Because of this, g(x) has no y-intercept, and the relationship cannot be determined

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4 years ago