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Kruka [31]
3 years ago
9

Which techniques can be used to evaluate the expression 12.75/ 1.5

Mathematics
1 answer:
sergeinik [125]3 years ago
6 0

Answer:

8.5

Step-by-step explanation:

Given the expression 12.75/1.5. The technique in solving the division expression is as shown

First we can write the decimals as fraction as shown;

12.75 = 1275/100

1.5 = 15/10

12.75/1.5 = (1275/100)÷(15/10)

12.75/1.5 = 1275/100×10/15

12.75/1.5 = 1275/10 × 1/15

12.75/1.5 = 1275/150

12.75/1.5 = 8.5

Hence the result of the division is 8.5

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Olegator [25]

Answer:

x=1+\sqrt{3} and x=1-\sqrt{3}

Step-by-step explanation:

We have been given the parabola with vertex (1, -9) and y intercept at (0, -6).

Now we need to find the x-intercepts of that parabola. So first we begin by finding the equation of parabola using vertex formula:

y=a\left(x-h\right)^2+k

Vertex for this formula is given by (h,k)

Compare that with given vertex (1,-9), we get: h=1, k=-9

So plug these into vertex formula:

y=a\left(x-1\right)^2-9...(i)

Plug given point (0, -6). into (i)

-6=a\left(0-1\right)^2-9

-6=a\left(-1\right)^2-9

-6=a\left(1\right)-9

-6+9=a

3=a

Plug a=3 into (i)

y=3\left(x-1\right)^2-9

Now to find x-intercept, we just plug y=0 and solve for x

y=3\left(x-1\right)^2-9

0=3\left(x-1\right)^2-9

9=3\left(x-1\right)^2

3=\left(x-1\right)^2

\pm \sqrt{3}=x-1

1+\pm \sqrt{3}=x

Hence final answer are

x=1+\sqrt{3} and x=1-\sqrt{3}

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Angle 1 will be 94 (94-18 = 76).

Angle 2 will be 13 (8x13 = 104).

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