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4 years ago

I will give u brainliest!

Mathematics

1 answer:

Arte-miy333 [17]4 years ago

4 0

Answer:

irrational

rational

irrational

rational

Step-by-step explanation:

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the diagram shows a 5cm x 5cm x 5cm cube calculate the length of the diagonal AB give your answer correct to 1 decimal place

Lynna [10]

Answer:

√3 * 5 = 5√3 cm

Step-by-step explanation:

→ ABCDEFGH is a cube.

→ CF = Diagonal of cube.

→ CH = Diagonal of Base Face BCDH.

→ Let the side of Each cube = a.

Than,

in Right ∆CFH, By Pythagoras Theoram, we have,

→ CH² + FH² = CF² --------- Equation (1)

and, Similarly, in Right ∆CDH ,

→ CD² + DH² = CH² ------- Equation (2).

Putting Value of Equation (2) in Equation (1), we get,

→ (CD² + DH²) + FH² = CF²

→ a² + a² + a² = CF²

→ CF² = 3a²

→ CF = √3a .

Hence, we can say That Diagonal of a cube is √3 times of its sides.

__________________

Given:-

Side of cube = 5cm.

So,

→ Diagonal of cube = √3 * 5 = 5√3 cm. (Ans.)

4 0

3 years ago

Find the rate of change of the function f(x)=-4/5x+8

Jobisdone [24]

The rate of change is the slope. Because this is written in slope intercept form (y=mx+b with m being the slope), we can find the slope by simply looking at the b value.
Final answer:-4/5

8 0

3 years ago

Write h(x) = 7 10x x2 in vertex form. Write h in standard form. H(x) = x2 10x 7 Form a perfect square trinomial by adding and su

rewona [7]

You can use the definition for the vertex form of a quadratic equation and then can can do conversion of that quadratic equation in that form.

The correct vertex form of the given equation is given by

Option C: $h(x) = (x-5)^2 - 18$

<h3>What is vertex form of a quadratic equation?</h3>

If a quadratic equation is written in the form

$y = a(x-h)^2 + k$

then it is called to be in vertex form. It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)

This point is called the vertex of the parabola that quadratic equation represents.

<h3>How to convert the given equation to vertex form?</h3>

We first take out coefficient of x squared, and then inside the bracket, we try to make perfect square like situation.

The given equation is $h(x) = 7 + 10x + x^2\\$

Converting it in vertex form, we get:

$h(x) = 7 + 10x + x^2\\\\\\h(x) = x^2 + 10x + 7\\h(x) = x^2 + 10x + 25 -25 + 7\\h(x) = (x+5)^2 - 18 \text{\: (Note how the form} \: a^2 + b^2 + 2ab = (a+b)^2 \:\rm got\: made)$

Thus, we have h = -5 and k = -18

The plot of the given equation is attached below.

Thus,

The correct vertex form of the given equation is given by

Option C: $h(x) = (x-5)^2 - 18$

Learn more about vertex form of quadratic equations here:
brainly.com/question/9912128

5 0

3 years ago

Read 2 more answers

PLZZZZ ANSWER ASAP TY

babymother [125]

So c is located at -50 from 0, and d is 50 from 0. we could just say that c+d=?

0 is 50 away from c, so c=50, d is 50 away from 0 so d=50, now we just add 50+50=100, answer is 100

:)

4 0

3 years ago

In order to earn a grade of C in the midterm, a student must have a score that is within 6 points of the average score of 62 poi

Elena L [17]

Answer:

Step-by-step explanation:

70%

5 0

3 years ago