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2 years ago

HELPPPPPPPPPPPPPPP PLEASEEEEEEEEEEEEE!!!!!!!!!!!11

Mathematics

1 answer:

mr_godi [17]2 years ago

7 0

To find the perimeter, the equation is (w2 + l2 = p)

Where w is width and l is length and p is perimeter.

If you have the width, then you double it for both widths.

Then subtract that number from the perimeter.

150-60 = 90

90 is the remaining number for the lengths. Since both lengths needs to be equal, you split the 90. 45.

You length equals 45.

45(2) + 30(2) = Perimeter of 150.

Your answer is 45.

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Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared. q2+11q

Sedbober [7]

Answer:

$(q+\frac{11}{2})^2-\frac{121}{4}$

Step-by-step explanation:

We have been given an expression $q^2+11q$ . We are asked to complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.

We know that a perfect square trinomial is in form $a^2+2ab+b^2$ .

To convert our given expression into perfect square trinomial, we need to add and subtract $(\frac{b}{2})^2$ from our given expression.

We can see that value of b is 11, so we need to add and subtract $(\frac{11}{2})^2$ to our expression as:

$q^2+11q+(\frac{11}{2})^2-(\frac{11}{2})^2$

Upon comparing our expression with $(a+b)^2=a^2+2ab+b^2$ , we can see that $a=q$ , $2ab=11q$ and $b=\frac{11}{2}$ .

Upon simplifying our expression, we will get:

$(q+\frac{11}{2})^2-\frac{11^2}{2^2}$

$(q+\frac{11}{2})^2-\frac{121}{4}$

Therefore, our perfect square would be $(q+\frac{11}{2})^2-\frac{121}{4}$ .

8 0

2 years ago

Read 2 more answers

What is the smallest solution to the equation 2/3 x^2=24

True [87]

Answer:

The smallest solution is -6

Step-by-step explanation:

2/3 x^2=24

Multiply by 3/2 on each side

3/2 *2/3 x^2=24 *3/2

x^2 = 36

Take the square root of each side

sqrt(x^2) = ±sqrt(36)

x = ±6

x = -6, 6

The smallest solution is -6

7 0

3 years ago

there are 100 pennies in a dollar what fraction of a dollar is 61 pennies write a fraction decimal and word form

ycow [4]

$\bf \begin{array}{ccllll}
dollar&pennies\\
\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\
1&100\\
x&61
\end{array}\implies \cfrac{1}{x}=\cfrac{100}{61}$

solve for "x", that's how much

5 0

2 years ago

A recipe from Sally’s "Chocoholic’s Cookbook" requires 70\frac{1}{6} grams of chocolate for each chocolate fudge cake. How many

erik [133]

Answer:

842 grams

Step-by-step explanation:

$70\frac{1}{6} =\frac{421}{6}$

$\frac{421}{6} *12\\\\842$

One cake consists of 421/6 grams of chocolate.

Since Sally wants to give 1 cake to 12 friends, we multiply 421/6 and 12.

To make 12 cakes, she needs 842 grams of chocolate.

3 0

2 years ago

Emma took a taxi from the airport to her house.

Natali5045456 [20]

Hi there! The answer is 10 miles.

Let the distance be represented by b.
The cost if the ride will therefore be
$5 + ( $3.70 × d )

We end up with the following equation
$5 + 3.7d = 42$

Subtract 5 from both sides.
$3.7d = 37$

Divide both sides by 10.
$d = \frac{37}{3.7} = 10$

Therefore, Emma had a taxi ride of 10 miles.

8 0

2 years ago

Read 2 more answers