If m=35 cm and n=37 cm what is the length of I

Find the pair of numbers whose sum is 46 and whose product is a maximum.

Vedmedyk [2.9K]

To solve this problem you must apply the proccedure shown below:

1. Let's call:

x the first number and and the other number 46-x

2. Then, the product of both numbers is:

y=x(46-x)

3. When you apply the distributive property, you obtain:

y=46x-x^2

4. As you can see, the coefficient of x^2 is negative, this means that the maximun value is at the vertex of the parabola.

5. Then, you have:

h=-b/2a
h=-46/2(-1)
h=23 (x coordinate)

6.Then:

y=46x-x^2
y=46(23)-(23)^2
y=529

Therefore the answer is: 23 and 529.

7 0

4 years ago

Two cones are similar. The volume of the larger cone is 27 cm³ and the volume of the smaller cone is 8 cm³. The height of the sm

aev [14]

ANSWER

The height of the larger cone is 3cm

EXPLANATION

Since the two cones are similar we can use the scale factor to determine the height of the larger cone.

It was given that, the volume of the larger cone is 27 cm³ and the volume of the smaller cone is 8 cm³.

The scale factor for the volume is

${k}^{3} = \frac{27}{8}$

The scale factor for the length is

$k = \sqrt[3]{ \frac{27}{8} }$

$k = \frac{3}{2}$

To find the height of the larger cone, we multiply by

$h = \frac{3}{2} \times 2 = 3$

7 0

3 years ago

Read 2 more answers

Drag the tiles to the correct boxes to complete the pairs.Not all tiles will be used match the equations representing parabolas

IceJOKER [234]

Answer:

$y=-8.08$ -------> $y+8=3(x+2)^{2}$

$y=14.25$ -------> $y-14=-(x-3)^{2}$

$y=-7.625$ -----> $y+7.5=2(x+2.5)^{2}$

$y=17.25$ -------> $y-17=-(x-3)^{2}$

$y=-7.25$ -------> $y+7=(x-4)^{2}$

$y=6.25$ -------> $y-6=-(x-1)^{2}$

Step-by-step explanation:

we know that

The standard form of a vertical parabola is equal to

$(x-h)^{2}=4p(y- k)$

where

(h,k) is the vertex

the focus is (h, k + p)

and

the directrix is y = k - p

Part 1) we have

$y+8=3(x+2)^{2}$

Convert to standard form

$(x+2)^{2}=(1/3)(y+8)$

The vertex is the point $(-2,-8)$

$h=-2,k=-8$

$4p=1/3$

$p=1/12$

the directrix is equal to

$y = k-p$ -----> $y=-8-(1/12)=-8.08$

Part 2) we have

$y-14=-(x-3)^{2}$

Convert to standard form

$(x-3)^{2}=-(y-14)$

The vertex is the point $(3,14)$

$h=3,k=14$

$4p=-1$

$p=-1/4$

the directrix is equal to

$y = k-p$ -----> $y = 14-(-1/4)=14.25$

Part 3) we have

$y+7.5=2(x+2.5)^{2}$

Convert to standard form

$(x+2.5)^{2}=(1/2)(y+7.5)$

The vertex is the point $(-2.5,-7.5)$

$h=-2.5,k=-7.5$

$4p=1/2$

$p=1/8$

the directrix is equal to

$y = k-p$ -----> $y=-7.5-(1/8)=-7.625$

Part 4) we have

$y-17=-(x-3)^{2}$

Convert to standard form

$(x-3)^{2}=-(y-17)$

The vertex is the point $(3,17)$

$h=3,k=17$

$4p=-1$

$p=-1/4$

the directrix is equal to

$y = k-p$ -----> $y = 17-(-1/4)=17.25$

Part 5) we have

$y+7=(x-4)^{2}$

Convert to standard form

$(x-4)^{2}=(y+7)$

The vertex is the point $(4,-7)$

$h=4,k=-7$

$4p=1$

$p=1/4$

the directrix is equal to

$y = k-p$ -----> $y=-7-(1/4)=-7.25$

Part 6) we have

$y-6=-(x-1)^{2}$

Convert to standard form

$(x-1)^{2}=-(y-6)$

The vertex is the point $(1,6)$

$h=1,k=6$

$4p=-1$

$p=-1/4$

the directrix is equal to

$y = k-p$ -----> $y=6-(-1/4)=6.25$

4 0

3 years ago

What is the multiplicative inverse of -13/14

Zina [86]

The multiplicative inverse of -13/14 as in the task content is; -14/13.

<h3>What is the multiplicative inverse of -13/14?</h3>

The multiplicative inverse of a number x is given as; 1/x.

On this same note, it follows that since, the number whose multiplicative inverse is to be found is: -13/14, the multiplicative inverse is; -14/13.

Read more on multiplicative inverse;

brainly.com/question/1682347

#SPJ1

3 0

2 years ago

The histogram below shows the number of sit-ups accomplished by 6th grade students in a physical fitness test.how many students

Harman [31]

I chose 40! thought it was to only logical answer

4 0

3 years ago