Whats the quake root of 6

What is the answer????

Monica [59]

Answer:

Step-by-step explanation:

To find the breadth use Pythagorean theorem

Breadth² = diagonal² - length²

= 34² - 30²

= 1156 - 900

= 256

Breadth = √256 = 16 cm

Breadth = 16 cm

Perimeter = 2*(length + breadth) = 2*(30 + 16) = 2*46 = 92 cm

Area = length * breadth = 30 *16 = 480 cm²

3 0

2 years ago

Read 2 more answers

Could someone please answer question b) ii) ? The question is on the attached image.

mel-nik [20]

Answer:

b) i) Curve A

ii) - 1.75

iii) x = 1 - √5 or x = 1 + √5

Step-by-step explanation:

b) i) We are given a function y = x² - 2x - 3 and the graph of this function is also shown in the side diagram.

The equation can be rearranged to y = (x - 1)² - 4

⇒ (x - 1)² = y + 4

Therefore, this is an equation of a parabola having the vertex at (1,-4) point and its axis is parallel to the positive y-axis.

So, the curve A represents the equation given. (Answer)

ii) Now, at x = 2.5, f(x) = 2.5² - 2 × 2.5 - 3 = - 1.75 (Answer)

iii) When y = 1, then x² -2x - 3 = 1

⇒ x² - 2x - 4 = 0

⇒ (x - 1)² - 5 = 0

⇒ (x - 1)² - (√5)² = 0

⇒ (x - 1 + √5)(x - 1 - √5) = 0

⇒ x = 1 - √5 or x = 1 + √5 (Answer)

3 0

3 years ago

Find the slope of the line through the points (10,6) and (-1,8)

stepladder [879]

Answer:

-2/11

Step-by-step explanation:

6 0

3 years ago

Solve the quadratic equation by using a graphic approach. Round your answer to the hundredths place.

den301095 [7]

Answer:

x = 3.24, x = -1.24

Step-by-step explanation:

The standard form for a quadratic equation is $ax^2+bx+c=0$ . For your equation a = 1, b = -2, c = -4. The quadratic formula you will be using is $x=\frac{-b\pm \sqrt{b^{2} -4ac} }{2a}$ .

Plug in a = 1, b = -2, and c = -4 into the formula.

$=\frac{-\left(-2\right)\pm \sqrt{\left(-2\right)^2-4\cdot \:1\cdot \left(-4\right)}}{2\cdot \:1}$

We'll do the top part first:

$\sqrt{\left(-2\right)^2-4\cdot \:1\cdot \left(-4\right)}$

Apply rule $- (-a) = a$

$=\sqrt{\left(-2\right)^2+4\cdot \:1\cdot \:4}$

Apply exponent rule $(-a)^{n} =a^n$ if $n$ is even

$(-2)^2=2^2$

$=\sqrt{2^2+4\cdot \:1\cdot \:4}$

Multiply the numbers

$=\sqrt{2^2+16}$

$2^2=4$

$=\sqrt{4+16}$

Add

$=\sqrt{20}$

The prime factorization of 20 is $2^2*5$

20 divides by 2. 20 = 10 * 2

$=2*10$

10 divides by 2. 10 = 5 * 2

$=2* \:2*5$

2 & 5 are prime numbers so you don't need to factor them anymore

$=2*2*5$

$=2^2*5$

$=\sqrt{2^2\cdot \:5}$

Apply radical rule $\sqrt[n]{ab} =\sqrt[n]{a} \sqrt[n]{b}$

$=\sqrt{5}\sqrt{2^2}$

Apply radical rule $\sqrt[n]{a^{n} } =a$ ; $\sqrt{2^2} =2$

$=2\sqrt{5}$

$=\frac{-\left(-2\right)\pm \:2\sqrt{5}}{2\cdot \:1}$

Because of the $\pm$ you have to separate the solutions so that one is positive and the other is negative.

$x=\frac{-\left(-2\right)+2\sqrt{5}}{2\cdot \:1},\:x=\frac{-\left(-2\right)-2\sqrt{5}}{2\cdot \:1}$

Positive x:

$\frac{-\left(-2\right)+2\sqrt{5}}{2\cdot \:1}$

Apply rule $-(-a)=a$

$=\frac{2+2\sqrt{5}}{2\cdot \:1}$

Multiply

$=\frac{2+2\sqrt{5}}{2}$

Factor $2+2\sqrt{5}$ and rewrite it as $=2\cdot \:1+2\sqrt{5}$ . Factor out 2 because it is the common term. $=2\left(1+\sqrt{5}\right)$ .

$=\frac{2\left(1+\sqrt{5}\right)}{2}$

Divide 2 by 2

$x=1+\sqrt{5}$ or $x=3.24$ (You'll probably have to use a calculator for the square root of 5)

^Repeating the process of positive x for negative x in order to get $x=1-\sqrt{5}$ or $x=-1.24$

4 0

2 years ago

Jim split up $23 equally among 31 winners. What decimal is

Feliz [49]

Answer:

Each winner received 1.35 dollars

Step-by-step explanation:

I divided 31 by 23 and got 1.34782608696. But we had to round to the hundredths so, I rounded up to 1.35 dollars.

4 0

3 years ago