What is an equation of the line that passes through the points (-2, 1) and (-8,4) ?​

Answer:

36.8

Step-by-step explanation:

I think A=36.8

Hope it will help you (:

9514 1404 393

Answer:

  264x³-66x

Step-by-step explanation:

The order of operations requires this be evaluated as ...

  11x(96x÷4x -6) . . . . given

  11x(24x·x -6) . . . . . . division inside parentheses

  11x(24x² -6) . . . . . . multiplication inside parentheses

  264x³ -66x . . . . . multiply by outside factor (use the distributive property)

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Additional comment

The appearance of the expression in parentheses may induce you to evaluate it as (96x)÷(4x) = 24. The order of operations requires that you do the division before the multiplication, left to right, so this must be evaluated as ...

  ((96x)÷4)x = 24x²

You need to be very careful with division and with exponents to make sure to follow the Order of Operations exactly. If you have an appropriate calculator, it will do that automatically. For example, if you tell your calculator ...

  (for x=2) 11×2×(96×2÷4×2-6)

it should give you the result 1980, not 396.

Answer:

= 198x

Step-by-step explanation:

11x × { 96x ÷ 4x -6}

11x × { 24x -6}

264x - 66x

= 198x

You got the correct answer

Answer:

I assume you mean 16^(1/3) i.e. the cube root of 16

I am also assuming you mean the real cube root because, as you may know, every non-zero real number has three cube root - one real and two complex conjugates.

Since 16 = 8 x 2 and 8 = 2³ then (2³ x 2)^1/3 = (2³)^1/3 x 2^1/3 = 2 x 2^1/3

You might check that the cube root of 16 is about 2.52 which is twice the cube root of 2

Step-by-step explanation:

Answer:

21 loads

Step-by-step explanation:

357/17=21

Answer:

10.5 yards after 15 years

Step-by-step explanation:

2.1 feet times 15 years, which equals to 31.5 feet, convert 31.5 feet into yards, so divide it by 0.3, and that equals to approximately 10.5 yards

Answer:

x = 5.5 inches.

Step-by-step explanation:

The perimeter is the sum of the 3 sides, so:-

x + x + 3 + 2x + 5 = 30

4x + 8 = 30

4x = 22

x = 5.5.

Answer =1267.2

Step-by-step explanation:

6(3+5)26.4

6×8×26.4

48×26.4

1267.2 is the answer

Answer:

125

Step-by-step explanation:

400÷2 = 200

300÷2 = 150

so,

250÷2 = 125

Answer:

Formula:

[tex]length = \sqrt{ {(x _{1} -x_{2} )}^{2} + {(y_{1} -y_{2}) }^{2} } [/tex]

substitute:

[tex]l = \sqrt{ { \{7 - ( - 8) \}}^{2} + {(8 - 4)}^{2} } \\ \\ l = \sqrt{225 + 16} \\ l = \sqrt{241} \\ { \boxed{ \boxed{length = 15.5 \: units}}}[/tex]

Answer:

245

Step-by-step explanation:

multiple the amount of rooms on each floor (35) by the amount of floors (7)

35x7=245 rooms

Answer:

1980

Step-by-step explanation:

[tex] \large \mathfrak{Answer : }[/tex]

The equation of the red parabola is :

therefore , correct option in A

Answer:

[tex]\huge\boxed{-2}[/tex]

Step-by-step explanation:

Use any two points from the line.

Let them be:

(x1,y1) = (0,-2)

(x2,y2) = (-1,0)

Now,

[tex]\displaystyle Slope = \frac{y_2-y_1}{x_2-x_1} \\\\Slope = \frac{0-(-2)}{-1-0} \\\\Slope = \frac{2}{-1} \\\\Slope = -2\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

$10.24

Step-by-step explanation:

12(1.30)=12.36

22.60-12.36=10.24

Answer:

Step-by-step explanation:

360 degrees

Answer:

No angle is made

Step-by-step explanation:

According to me an angle is a point where two or more lines meet and apparently a circle has no meeting lines expect with given radii , diameters or chords

Answer:

[tex]u + xy \\ 18 + 10 \times 8 \\ 10 + 80 \\ 90[/tex]

Answer:

Solution,

here,

u=18

x =10

y= 8

=u+xy

=18+(10×8)

=18+80

=98

Answer: Choice B

[tex]\frac{1}{\sqrt{65}}<-4, 7>[/tex]

===============================================================

Explanation:

Consider a right triangle with legs a = 4 and b = 7. Through the pythagorean theorem, the hypotenuse is

c = sqrt(a^2+b^2) = sqrt(4^2+7^2) = sqrt(65)

This represents the length of the vector <-4,7>

Dividing each component by the length will normalize the vector. This is the same as multiplying by [tex]\frac{1}{\sqrt{65}}[/tex] which is what choice B shows. The phrasing "normalize the vector" means "make the vector to be of length 1". A common application of normalizing vectors will come up in computer graphics.

The original vector and the vector mentioned in choice B point in the same direction. The only thing that has changed is the length from sqrt(65) to 1.

Answer:

600,000+80,000+700+5

Answer:

5383 4983

i dont know

Step-by-step explanation:

Step-by-step explanation:

[tex]8x - 3 = 5 + 4y[/tex]

Isolate y first subtract 5 from both sides

[tex]8x - 8 = 4y[/tex]

Divide both sides by 4.

[tex] \frac{8x - 8}{4} = y[/tex]

[tex]2x - 2 = y[/tex]

y= 1

Step-by-step explanation:

Solve for y:

8x - 3 = 5 + 4y

8x = 4y + 5+3

Divide both sides by 8

x = 1÷2y + 1

plug into equation

8 (1÷2y +1) - 3 = 5 + 4y

Distribute

8÷2+ 8 - 3 = 5 + 4y

4 + 5 -5 = 4y

Combine like item

4 = 4y

divide both sides by 4

y= 1

Answer:

3. -10

4. 5

5. -4

6. 24

7. 0

8. 46

9. -1

10. 42

11. -4

12. -26

13. 30

14. -5

When an equation says something like 23 - (-23) then you actually add them together because you multiply the inside by -1 to get 23 + 23

(-3, 2)

Step-by-step explanation:

when the point is rotated through 90∘ about the origin in the counterclockwise direction then the point M(h,k) takes the image M′(−k,h)

so the point (2,3) will be (-3 ,2 )

Answer:

it is 55

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

Consider a zero at x=1.

If it has multiplicity 1, the corresponding factor is (x -1). Now consider the sign of that factor for x = 1.1. The value is (1.1 -1) = 0.1, a positive number.

When the value of x is 0.9, the factor is (0.9 -1) = -0.1, a negative number.

This tells you that values to the left of a zero make the factor(s) associated with that zero be negative. For x-values to the right of the zero, the factor(s) will be positive.

If the multiplicity is even, the product of those factors is positive on either side of the zero. (A negative number to an even power is a positive number.) That is, the graph will not change sign from one side of an even-multiplicity factor to the other. At an odd-multiplicity factor, the graph changes sign.

__

For the problem at hand, the only even-multiplicity factor is (x -1), so the graph will not change sign at x=1. It will touch the axis (be tangent to the x-axis), but will not cross. The other zeros have odd multiplicity (1 or 3), so the graph will change sign there.

It is worthwhile to note that the higher the multiplicity, the "flatter" the graph is at the zero. You can see this in the attachment by comparing the shape of the graph at x=6 with the shape at x=2 (also an upward zero crossing).

_____

Additional comment

You may wonder why the curve is below the x-axis at x=1 when the product of the factors in that neighborhood is always positive. The reason is that there are an odd number of zeros to the right of x=1, so the product of those factors is negative.

Answer:

Ans; 10⁴ —> 10, 000

Ans; 10-⁴ / 10² —> 1/ 10⁶ = 0. 000 001

Ans; 10-⁴ × 10² —> 1/ 10² = 0.01

Ans; 10-⁴ —> 1/ 10⁴ = 0. 000 1

I hope I helped you^_^

Answer:

A=a

B=d

C=c

D=b

Step-by-step explanation:

9514 1404 393

Answer:

  t(n) = -n^2 -n +102

Step-by-step explanation:

We can use the first 3 terms to find a, b, c.

  a(1)^2 +b(1) +c = 100

  a(2)^2 +b(2) +c = 96

  a(3)^2 +b(3) +c = 90

Subtract the first equation from the other two:

  3a +b = -4 . . . . . . [eq4]

  8a +2b = -10 . . . . [eq5]

[eq5] can be reduced to

  4a +b = -5 . . . . . . [eq6]

Subtracting [eq4] from [eq6] gives ...

  (4a +b) -(3a +b) = (-5) -(-4)

  a = -1 . . . . . . . . simplify

Filling that into [eq4], we get

  3(-1) +b = -4

  b = -1 . . . . . . . add 3

Putting the values for 'a' and 'b' into the first equation gives ...

  -1 +-1 +c = 100

  c = 102

Then the n-th term t(n) of the sequence is ...

  t(n) = -n^2 -n +102

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Additional comment

As you might guess, there is a generic solution for quadratic sequences. In terms of the first term (a1), first first difference (d1), and second difference (d2), the coefficients can be written as ...

This sequence has first differences of -4, -6, -8, -10, and second differences of -2. Putting the sequence values into the above formulas, we find ...

9514 1404 393

Answer:

  18 units

Step-by-step explanation:

The distance formula is used to find the distance between two points:

  d = √((x2 -x1)² +(y2 -y1)²)

For AB, the distance is ...

  d = √((0 -(-4))² +(-2 -1)²) = √(16 +9) = √25 = 5

The distances between the other pairs of points can be found the same way. We have elected to let a spreadsheet do the math. It tells us the perimeter of triangle ABC is 18 units.

Answer: 18 units

Step-by-step explanation: