How can I show this expression using algebra tiles. 7(2+w)

Hey there can you please help me posted picture of question

mash [69]

We can use quadratic formula to determine the roots of the given quadratic equation.

The quadratic formula is:

$x= \frac{-b+- \sqrt{ b^{2} -4ac} }{2a}$

b = coefficient of x term = 12
a = coefficient of squared term = 4
c = constant term = 9

Using the values, we get:

$x= \frac{-12+- \sqrt{144-4(4)(9)} }{2(4)} \\ \\ 
x= \frac{-12+-0}{8} \\ \\ 
x= \frac{-3}{2}$

So, the correct answer to this question is option B

5 0

3 years ago

How to solve the second equation

ivann1987 [24]

$\bf \textit{ vertex of a vertical parabola, using coefficients}\\\\
\begin{array}{lccclll}
y = &{{ -0.02}}x^2&{{ +1}}x&{{ +6}}\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}\qquad 
\left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right)
\\\\\\
\left( -\cfrac{1^2}{2(-0.02)}~~,~~6-\cfrac{1^2}{4(-0.02)} \right)
\\\\\\
(\stackrel{\textit{how far ahead it went}}{25}~,~\stackrel{\textit{how high it went}}{18\frac{1}{2}})$

$\bf \textit{ vertex of a vertical parabola, using coefficients}\\\\
\begin{array}{lccclll}
y = &{{ -0.01}}x^2&{{ +0.7}}x&{{ +6}}\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}\qquad 
\left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right)
\\\\\\
\left( -\cfrac{0.7^2}{2(-0.01)}~~,~~6-\cfrac{0.7^2}{4(-0.01)} \right)
\\\\\\
(\stackrel{\textit{how far ahead it went}}{24\frac{1}{2}}~,~\stackrel{\textit{how high it went}}{18\frac{1}{2}})$

4 0

3 years ago

Morgan uses 1/4 of her supply of raisins to make trail mix and 3/8 of her supply of raisins to make cookies. If morgan uses 5 po

arlik [135]

First, we need to find the total fraction of her raisins she used:

1/4 + 3/8 = 2/8 + 3/8

She used 5/8 of her supply.

Knowing this:

5/8x = 5

We multiply by 8 (the LCD)

5x = 40

x = 8

Her supply was 8 pounds, and after making the food, she now has 3 pounds

8 0

3 years ago

Read 2 more answers

√6 + √30 √36 + √36 √ - Square Root Pls help :(

slavikrds [6]

The square root of 6 is 2.44 +
Square root of 30 is 5.47
So 2.44 + 5.47 is 4.01
Your answer is 4.01

Square root of 36 is 6
So 6+ 6 is 12
Your answer is 12

Hope this helps *smiles*

8 0

3 years ago

The perimeter of a rectangle is about 13.9 cm. If you double the width of the rectangle the perimeter is about 17.8 cm. Find the

fredd [130]

Answer:

5cm by 1.95cm

Step-by-step explanation:

Let the length of the rectangle be x

Let the width be y

Perimeter of a rectangle = 2x + 2y

If the initial perimeter of a rectangle is about 13.9 cm, then;

13.9 = 2x + 2y ..... 1

If when the width is double the perimeter is 17.8cm, then;

17.8 = 2x + 4y ..... 2

Subtract 1 from 2;

13.9 - 17.8 = 2y - 4y

- 3.9 = -2y

y = 3.9/2

y = 1.95 cm

Substitute y = 1.95 into 1 to get x;

From 1;

13.9 = 2x + 2y

13.9 = 2x + 2(1.95)

13.9 = 2x + 3.9

2x = 13.9-3.9

2x = 10

x = 5 cm

Hence the dimension of the smaller triangle is 5cm by 1.95cm

7 0

2 years ago