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3 years ago

Find all factor pairs for 9

Mathematics

1 answer:

Misha Larkins [42]3 years ago

6 0

All the factor pairs are 1 x 9, 3 x 3, 9 x 1,

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Find the equation of the axis of symmetry of the following parabola algebraically.

mr Goodwill [35]

Answer:

the equation of the axis of symmetry is $x=8$

Step-by-step explanation:

Recall that the equation of the axis of symmetry for a parabola with vertical branches like this one, is an equation of a vertical line that passes through the very vertex of the parabola and divides it into its two symmetric branches. Such vertical line would have therefore an expression of the form: $x=constant$ , being that constant the very x-coordinate of the vertex.

So we use for that the fact that the x position of the vertex of a parabola of the general form: $y=ax^2+bx+c$ , is given by:

$x_{vertex}=\frac{-b}{2\,a}$

which in our case becomes:

$x_{vertex}=\frac{-b}{2\,a} \\x_{vertex}=\frac{48}{2\,(3)} \\x_{vertex}=\frac{48}{6} \\x_{vertex}=8$

Then, the equation of the axis of symmetry for this parabola is:

$x=8$

4 0

3 years ago

A right triangle is given with a missing value of t. It is stated that the triangle is an acute right triangle with angles 50∘ a

sergiy2304 [10]

Answer: t=20°

Step-by-step explanation:

1. By definition, the sum of the interior angles is 180 degrees.

2. Keeping the information above on mind, you can write the following expression:

$90+50+2t=180$

3. Now, you must solve for $t$ as following:

$140+2t=180\\2t=180-140\\2t=40\\t=\frac{40}{2}\\t=20$

4. Therefore, the value of $t$ is 20°

6 0

3 years ago

Sarah invested £12000 in a unit trust 5 years ago, the value of the unit trust increased by 7% per annum for each of the last 3

trasher [3.6K]

Answer:

The current price of the unit trust = £13,831.72

Step-by-step explanation:

Since it increased 7% per annum in last three years and decreased by 3% per annum before that, it implies that the unit trust decreased by 3% per annum for the first 2 years and then increased by 7% per annum for the next 3 years in the total 5 year period

The invested after 2 years = 12,000*(1-0.03)^2 = £11,290.8

This amount then grows by 7% for the next 3 years making it = 11,290.80*(1+0.07)^3 = £13,831.7155 = £13,831.72 (Rounded to 2 decimals)

The current price of the unit trust = £13,831.72 (Rounded to 2 decimals)

6 0

3 years ago

Solve the equation 3 - 4-587 3.87 b. 0.55, -0.55 a. C. 1.53,-1.53 d. 4.98

dexar [7]

Answer: X = 0

Let me know if it’s correct

8 0

3 years ago

Slope-intercept from two points Complete the equation of the line through (-8.8) and (1,-10).

Andrei [34K]

Answer:

y=− 2x−8 is the equation

Step-by-step explanation:

equation for slope is y=mx+b the y intercept is -8 and the slope is -2

5 0

2 years ago