All categories

2 years ago

1. (-7)(-12)=? 2. 37 - (-14)=? 3. 120 divided by (-20)=? explain

Mathematics

1 answer:

miss Akunina [59]2 years ago

4 0

Answer:

1. 84 2.-51 3. -6

Step-by-step explanation:

1. Negative times negative is positive: -7 x -12 would be 84 the multiplication is normal.

2. positive subtracted by a negative is negative: 37- -14 you know it is negative and you add them up to get -51.

3. positive divided by negative is negative: 120/-20 It would be negative and you do normal division. -6.

Hope This Helps!!! :D

You might be interested in

Is – 7 a solution to the equation 8 {1/4x +3/4} -3 = 17

I am Lyosha [343]

Answer:

Step-by-step explanation:

Start by using the distributive property to simplify 8(1/4x+3/4):

8•1/4x=2x

8•3/4=6

The equation now reads: 2x+6-3=17. Subtract 3 from six and you get 2x+3=17.

You can now proceed to answer this like any two step linear equation.

2x+3=17

-3 -3

2x=14

x=7

7 is the solution to this equation

Read more on Brainly.com - brainly.com/question/11287176#readmore

8 0

3 years ago

If these two shapes are similar, what is the measure of the missing length x?

Rus_ich [418]

Answer:

$x=22\ yd$

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional

$\frac{x}{14}=\frac{77}{49}$

solve for x

$x=\frac{77}{49}(14)$

$x=22\ yd$

6 0

2 years ago

Perform the following divisions. be sure all answers are reduced to lowest terms. 4/3 ÷ 1/2 =

Kobotan [32]

The answer is 8 divide by 3

7 0

3 years ago

Consider the differential equation x2y′′ − 9xy′ + 24y = 0; x4, x6, (0, [infinity]). Verify that the given functions form a funda

pantera1 [17]

Answer:

The functions satisfy the differential equation and linearly independent since W(x)≠0

Therefore the general solution is

$y= c_1x^4+c_2x^6$

Step-by-step explanation:

Given equation is

$x^2y'' - 9xy+24y=0$

This Euler Cauchy type differential equation.

So, we can let

$y=x^m$

Differentiate with respect to x

$y'= mx^{m-1}$

Again differentiate with respect to x

$y''= m(m-1)x^{m-2}$

Putting the value of y, y' and y'' in the differential equation

$x^2m(m-1) x^{m-2} - 9 x m x^{m-1}+24x^m=0$

$\Rightarrow m(m-1)x^m-9mx^m+24x^m=0$

$\Rightarrow m^2-m-9m+24=0$

⇒m²-10m +24=0

⇒m²-6m -4m+24=0

⇒m(m-6)-4(m-6)=0

⇒(m-6)(m-4)=0

⇒m = 6,4

Therefore the auxiliary equation has two distinct and unequal root.

The general solution of this equation is

$y_1(x)=x^4$

and

$y_2(x)=x^6$

First we compute the Wronskian

$W(x)= \left|\begin{array}{cc}y_1(x)&y_2(x)\\y'_1(x)&y'_2(x)\end{array}\right|$

$= \left|\begin{array}{cc}x^4&x^6\\4x^3&6x^5\end{array}\right|$

=x⁴×6x⁵- x⁶×4x³

=6x⁹-4x⁹

=2x⁹

≠0

The functions satisfy the differential equation and linearly independent since W(x)≠0

Therefore the general solution is

$y= c_1x^4+c_2x^6$

5 0

2 years ago

Calcule as potências a seguir e escreva a resposta respectivamente 8 elevado a 2; 10 elevado a menos dois;- 4 elevado a 4; abre

koban [17]

Answer:

We just have to solve each power.

$8^{2} = 8 \times 8 = 64\\10^{-2} =\frac{1}{10^{2} } =\frac{1}{100}=0.01 \\(-4)^{4}=(-4) \times (-4) \times (-4) \times (-4)=256 \\(-6)^{4}=(-6) \times (-6) \times (-6) \times (-6)=1,296$

Remember, to solve a power, we just need to multiply its base as many times indicates its exponent.

It's important to know that the negative exponent indicates a position, that's why in the second exercise we needed to change the position of the power to continue.

6 0

2 years ago