All categories

3 years ago

How can I solve y^2 + 13y + 12?

Mathematics

2 answers:

zavuch27 [327]3 years ago

8 0

(y+1)(y+12) that’s what I got.

lidiya [134]3 years ago

7 0

$(y + 1)(y + 12)$

$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}$

${y}^{2} + 13y + 12 \\ = {y}^{2} + 12y + 1y + 12 \\ taking \: common \: factor \: from \: the \: two \: pairs \\ = y(y + 12) + 1(y + 12) \\ = (y + 1)(y + 12)$

$\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}$

You might be interested in

Can someone tell me the answer and show me how to find it?

kiruha [24]

Answer:

The value of x is 20°

Step-by-step explanation:

Given that angle in a straight line is 180°. Then you can find the value of x:

55° + (6x+5)° = 180°

55° + 6x + 5° = 180

6x + 60° = 180°

6x = 180 - 60

6x = 120°

x = 20°

6 0

3 years ago

William has 24 cans of fruit and 60 cans of vegetables that he will be putting into bags for a food drive. He wants each bag to

nataly862011 [7]

Answer:

See explanation

Step-by-step explanation:

William has 24 cans of fruit and 60 cans of vegetables that he will be putting into bags for a food drive.

Factor number 24 and 60:

$24=2\cdot 12=2\cdot 2\cdot 6=2\cdot 2\cdot 2\cdot 3=2^3\cdot 3\\ \\60=2\cdot 30=2\cdot 2\cdot 15=2\cdot 2\cdot 3\cdot 5=2^2\cdot 3\cdot 5$

Find the greatest common factor

$GCF(24,60)=2^2\cdot 3=12$

Hence, the greatest number of bags William can make is 12.

Each of these bags will have $24\div 12=2$ cans of fruit and $60\div 12=5$ cans of vegetables.

If he made fewer bags, 6 bags, each of these bags will have $24\div 6=4$ cans of fruit and $60\div 6=10$ cans of vegetables.

If he made fewer bags, 4 bags, each of these bags will have $24\div 4=6$ cans of fruit and $60\div 4=15$ cans of vegetables.

If he made fewer bags, 3 bags, each of these bags will have $24\div 3=8$ cans of fruit and $60\div 3=20$ cans of vegetables.

If he made fewer bags, 2 bags, each of these bags will have $24\div 2=12$ cans of fruit and $60\div 2=30$ cans of vegetables.

7 0

3 years ago

I’m confused please help

Maru [420]

<h2>Hello!</h2>

The answer is:

$Sin(A)=0.93$

To solve the problem, remember to set your calculator in "degree mode"

So, we are given that the angle A is equal to 68°

So, we have that:

$Sin(A)=Sin(68\°)=0.93$

Hence, we have that:

$Sin(A)=0.93$

Have a nice day!

4 0

3 years ago

Find the area of the triangle belowunits given are cm, cm^2, cm^3

zloy xaker [14]

Answer:

$A_T=150cm^2$

Explanation: We need to find the area of the triangle, We know that the area of any right triangle is:

$A_T=\frac{1}{2}(b\times h)$

Therefore in the information given we have the following:

$\begin{gathered} h=20\operatorname{cm} \\ b=15\operatorname{cm} \end{gathered}$

Therefore the Area of this triangle is as follows:

$\begin{gathered} A_T=\frac{1}{2}(b\times h) \\ \therefore\rightarrow \\ A_T=\frac{1}{2}(20cm\times15cm)=\frac{1}{2}(20\times15)cm^2 \\ A_T=\frac{1}{2}(300)cm^2=150cm^2 \\ \therefore\rightarrow \\ A_T=150cm^2 \end{gathered}$

Note! Units are centimeter-squared

4 0

1 year ago

You roll a 6-sided die.

Lerok [7]

Answer:

$\huge\boxed{\text{P(not factor of 35) = } \frac{2}{3}}$

Step-by-step explanation:

We can use basic probability to find the probability that this roll is not a factor of 35.

First off, we know that with a six sided die there are 6 possible things we can roll.

1, 2, 3, 4, 5, or 6

Now, what are the factors of 35? The factors of 35 will be any whole number that can be multiplied by another whole number to get 35.

We know $1 \cdot 35 = 35$ , so two factors are 1 and 35.
We know $5 \cdot 7 = 35$ , so two factors are 5 and 7.

Therefore, the factors of 35 are 1, 5, 7, 35.

Both 5 and 7 are inside the range of 1-6. So the probability of rolling a side that's a factor of 35 will be $\frac{2}{6} = \frac{1}{3}$ since there are two factors and 6 possible options.

This means, logically, there is a $\frac{4}{6} = \frac{2}{3}$ chance of not rolling a factor of 35.

Hope this helped!

5 0

3 years ago