If x is a real number such that x³ = 64, then x² + √x =?

Answers

Answer 1

Answer: $x^3 = 64\n \nx=\sqrt[3]{64}\n \nx=4 \n \n \n x^2 + √( x )=4^2+√(4)=16+2 =18$

Answer 2

Answer: If x³=64
,x=∛64=4
x²=16
√x=4
x²+√x=16+2
⇒18

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Find the equation of the straight line passing through the point (3, 5)which is perpendicular to the line
y = 3x + 2

Answers

Answer:

y = -1/3x +6

Step-by-step explanation:

You want the equation of the line through (3, 5)perpendicular to the line y = 3x +2.

Perpendicular line

The given equation is in slope-intercept form. This lets us identify its slope as 3.

y = mx + b . . . . . . line with slope m and y-intercept b

y = 3x +2 . . . . . . . line with slope 3 and y-intercept 2

The perpendicular line will have a slope that is the opposite reciprocal of this:

m = -1/3 . . . . slope of the perpendicular line

Point-slope form

The equation for a line with slope m through point (h, k) is ...

y -k = m(x -h)

The equation for a line with slope -1/3 through point (3, 5) is ...

y -5 = -1/3(x -3)

Slope-intercept form

Solving for y gives us ...

y = -1/3x +1 +5 . . . . . eliminate parentheses, add 5

y = -1/3x +6 . . . . . equation of the desired line

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Solve the equation for x
3/10x-1/5=1

Answers

Answer:

x=4

Step-by-step explanation:

$(3)/(10)x-(1)/(5)=1\n \n(3)/(10)x=(6)/(5) \n3x=12\nx=4$

What is the missing number in this pattern?
2, 4, _, 16, 32
5
8
10
6

Answers

The pattern is multiplying the numbers by 2. If you time 4 by 2, you'll get 8. Therefore the answer is 8

What is the domain of the following parabola?u-shaped graph that opens down with a vertex of 1, 2

x ≥ 1
x ≤ 1
All real numbers
y ≤ 2

Answers

Hello,

y=-a²(x-1)+2 is defined for all real numbers.

Answer C

What is the length of the line segment in the x-y plane with end points at (-2,-2) and (2,3)?Can anyone explain me how to make this one step by step?

Answers

You've got a formula. If the two endpoints are $A(x_A,y_A)$ and $A(x_B,y_B)$ , then the length is $√((x_B-x_A)^2+(y_B-y_A)^2)$ . The result is $√(16+25)=√(41)$ .

Solve for x.

x/5+ 1 = 7

Answers

Subtract 1 from each side and you get:

x/5 = 6

now multiply by 5:

x = 30

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