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3 years ago

15

Solve the equation for x. −3=x3−6 A. x=−27 B. x=9 C. x=0 D. x=−6

1 answer:

Soloha48 [4]3 years ago

6 0

Umm I think it would be C all thought I got 1 when doing the work

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What is the area of the figure?

mash [69]

Check the picture below.

$\bf \textit{area of a triangle}\\\\ A=\cfrac{1}{2}bh\qquad \qquad A=\cfrac{1}{2}(12\sqrt{2})(12\sqrt{2})\implies A=6\sqrt{2}\cdot 12\sqrt{2} \\\\\\ A=6\cdot 12\sqrt{2}\cdot \sqrt{2}\implies \implies A=72(\sqrt{2})^2\implies A=72\cdot 2\implies A=144$

8 0

3 years ago

What is the 22nd term of the arithmetic sequence 12 , 17 , 22 , 27 , .... , .... , ....

11Alexandr11 [23.1K]

Answer: 117

Step-by-step explanation:

Formula for arithmetic sequence is:

= a + (n - 1)d

22nd term = a + (n - 1)d

= a + (22 - 1)d = a + 21d

where, a = 12

d = 17 - 12 = 5.

Therefore, 22nd term will be:

= a + 21d

= 12 + 21(5)

= 12 + 105

= 117

The 22nd term is 117

5 0

3 years ago

Which of the following is an equivalent equation obtained by completing the square of the expression below? x^2+6x−8=0 A (x+3)^2

valentina_108 [34]

Answer:

Solving the equation $x^2+6x-8=0$ by completing the square method we get $\mathbf{(x+3)^2=17}$

Option B is correct option.

Step-by-step explanation:

We need to solve the equation $x^2+6x-8=0$ by completing the square method.

For completing the square method: we need to follow: $a^2+2ab+b^2=(a+b)^2$

We are given:

$x^2+6x-8=0$

Solving by completing the square

$x^2+2(x)(?)+(?)^2-8=0$

We need to find ? in our case ? is 3 because 2*3= 6 and our middle term is 6x i,e 2(x)(3)=6x.

So, adding and subtracting (3)^2

$x^2+2(x)(3)+(3)^2-8-(3)^2=0\\(x+3)^2-8-9=0\\(x+3)^2-17=0\\(x+3)^2=17$

So, solving the equation $x^2+6x-8=0$ by completing the square method we get $\mathbf{(x+3)^2=17}$

Option B is correct option.

7 0

3 years ago

Find the slope Y=5x+12

NikAS [45]

Answer: The slope = 5.

Step-by-step explanation:

The equation of a line in the slope -intercept form is given by :-

$y=mx+c$

,where m= slope , c= y-intercept.

The slope of a line represents the rate of change of y with respect to x.

Given: Equation of line : Y= 5x+12

Here Slope (m)=5

Hence, the slope = 5.

6 0

2 years ago

How many solutions does the system have? 2x+3y=-6 3x-4y=-12. A) exactly one solution b) no solution c) infinity many solutions

katovenus [111]

Answer:

a.

Step-by-step explanation:

by elimanation,cimparison or substitution you wull get the value of x=-60/17 and y=6/17

8 0

3 years ago