Ivan ate 40%, percent of the pizza. how many slices did he eat?

<img src="https://tex.z-dn.net/?f=4x%20%7B%7D%5E%7B2%7D%20%20%2B%2020x%20%2B%2025" id="TexFormula1" title="4x {}^{2} + 20x + 25

BigorU [14]

$\sf{\qquad\qquad\huge\underline{{\sf Answer}}}$

Let's Solve ~

$\qquad \sf \dashrightarrow \: 4 {x}^{2} + 20x + 25$

$\qquad \sf \dashrightarrow \: 4 {x}^{2} + 10x + 10x + 25$

$\qquad \sf \dashrightarrow \: 2x(2x + 5) + 5(2x + 5)$

$\qquad \sf \dashrightarrow \: (2x + 5) (2x + 5)$

$\qquad \sf \dashrightarrow \: (2x + 5) {}^{2}$

or

$\sf{\qquad \sf \dashrightarrow \: 4x² + 20x + 25 }$

$\sf{\qquad \sf \dashrightarrow \: (2x)² + (2 \sdot 2x \sdot 5) + (5)²}$

[ it's similar to expression - a² + 2ab + b² that is equal to (a + b)² ]

so, let's use this identity here to factorise :

$\sf{\qquad \sf \dashrightarrow \: (2x + 5)²}$

I hope it was helpful ~

3 0

2 years ago

In ΔVWX, w = 520 cm, ∠W=93° and ∠X=68°. Find the length of x, to the nearest centimeter.

Pani-rosa [81]

Answer:

482.7972612 cm. Just round from here.

Step-by-step explanation:

Ah, the sine law questions. Ok so you know $\frac{sin(A)}{a} = \frac{sin(B)}{b} = \frac{sin(C)}{c}$ . If you don't, voila. Obviously, the variables are different but we can use the same formula. So, we have

$\frac{sin(X)}{x} = \frac{sin(W)}{w}$

Plug in:

$\frac{sin(68)}{x} = \frac{sin(93)}{520}$

The answer when solving for x is the above

7 0

3 years ago

As mentioned in the school letter there are 145 students in all sections of grade 7. 3/5 of these students are girls. how many g

Ierofanga [76]

There are 87 girls and 58 boys!

i divided 5 from 145 and got 29.
i multiplied 29 and 3 and got 87.
87 is the girls total.
then subtracted 87 from 145 and got 58.
58 is the boys total.

hope this helps!

7 0

3 years ago

Read 2 more answers

Value of (–3/8) × (+8/15). A. 11/15 B. 11/23 C. –1/5 D. –1/3

svet-max [94.6K]

ANSWER

The correct answer is C

EXPLANATION

We want to find the value of

$- \frac{3}{8} \times \frac{8}{15}$

This is the same as:

$- \frac{3}{8} \times \frac{8}{3 \times 5}$

We cancel out the common factors to get:

$- \frac{1}{1} \times \frac{1}{1 \times 5}$

We simplify to get:

$- \frac{1}{5}$

The correct answer is C

5 0

3 years ago

Rewrite in simplest rational exponent form √x • 4√x. Show each step of your process.

Studentka2010 [4]

I like to think of radicals (or square roots) just as x terms-
here, we have the equivalent (kind of) to x * 4x.
Since these are both x terms and 4x= x*x*x*x, we can simply write 5x.

Im not sure what your teacher is asking you to communicate, but most simply would like to see evidence that you understand the material rather than simply looking up the answer... (i mean without reading an explanation xD)
4√x= √x*√x*√x*√xso √x • 4√x =5√x

5 0

3 years ago