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2 years ago

The longer leg of a right triangle is 4 ft

1 answer:

5 0

So the equation would be “a squared +4 squared=8 squared.” Then you would square 4 which would be 16 and 8 which would be 64. Now the equation is a squared+ 16=64 the rest is basic algebra. Subtract 16 from 64 which is 48. Now you have a squared= 48. You get the square root of both sides so now you have the square root of a is 6.9. I’m pretty sure that’s how you do it. I apologize if I’m incorrect.

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Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.

likoan [24]

Answer:

Thus, the two root of the given quadratic equation $x^2+4=6x$ is 5.24 and 0.76 .

Step-by-step explanation:

Consider, the given Quadratic equation, $x^2+4=6x$

This can be written as , $x^2-6x+4=0$

We have to solve using quadratic formula,

For a given quadratic equation $ax^2+bx+c=0$ we can find roots using,

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$ ...........(1)

Where, $\sqrt{b^2-4ac}$ is the discriminant.

Here, a = 1 , b = -6 , c = 4

Substitute in (1) , we get,

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$\Rightarrow x=\frac{-(-6)\pm\sqrt{(-6)^2-4\cdot 1 \cdot (4)}}{2 \cdot 1}$

$\Rightarrow x=\frac{6\pm\sqrt{20}}{2}$

$\Rightarrow x=\frac{6\pm 2\sqrt{5}}{2}$

$\Rightarrow x={3\pm \sqrt{5}}$

$\Rightarrow x_1={3+\sqrt{5}}$ and $\Rightarrow x_2={3-\sqrt{5}}$

We know $\sqrt{5}=2.23607$ (approx)

Substitute, we get,

$\Rightarrow x_1={3+2.23607}$ (approx) and $\Rightarrow x_2={3-2.23607}$ (approx)

$\Rightarrow x_1={5.23607}$ (approx) and $\Rightarrow x_2=0.76393}$ (approx)

Thus, the two root of the given quadratic equation $x^2+4=6x$ is 5.24 and 0.76 .

7 0

2 years ago

Read 2 more answers

Simplify (9 + 8 – 6)(4 – 5).

Temka [501]

Answer:

The answer would be - 11.

Step-by-step explanation:

9 + 8 = 17

17 - 6 = 11.

4 - 5 = 4 + - 5 = - 1

11(- 1) = 11 × - 1 = - 11

Therefor, your answer would be - 11.

Hope this helps!

5 0

3 years ago

Read 2 more answers

23 mins after 9 in time can you help me please

Stolb23 [73]

Answer:

9:23 simple

Step-by-step explanation:

4 0

3 years ago

Need help with full explanation first to answer extra points!!!

blsea [12.9K]

Answers:

Step-by-step explanation:

Those brackets indicate absolute value. Absolute value is the distance of a number from 0 on the number line. In other words, negatives don't matter. There is also no such thing as a negative absolute value.

-2 -1 0 1 2

Both -2 and 2 are the same distance from 0, just in the opposite direction. Both numbers have the same absolute value, which is 2.

Hope This helps. If it did, then....

<em>PLEASE MARK BRAINLIEST</em>

7 0

3 years ago

HELP ASAP Use the data below

beks73 [17]

Answer:

Part A:

-Minimum: 10

-Q1: 17.5

-Median: 30

-Q3: 42.5

-Maximum: 50

Step-by-step explanation:

Part B: IQR= 25

This shows that the data varies for 25 different numbers. That HALF of the data is between 25 numbers.

Part C: Using a box-and-whisker plot you can interpret the different values. Minimum is the first dot (10), connected to the first line (Q1 which is 17.5), connected by a box to the median (30), connected by a box to the third line (Q3 which is 42.5), connected to the last dot which is the maximum (50). And IQR is Q3-Q1, so 42.5-17.5 which is 25.

8 0

3 years ago