Determine which fraction is larger 1/6 or 2/7

WILL GIVE BRAINLIEST!!!!

krek1111 [17]

Slope formula: y2-y1/x2-x1

Question 1:

= 14-(-15)/1-(-11)

= 29/12

= 2 5/12

Therefore, the slope is 2 5/12 or 29/12.

Question 2:

= 12-(-19)/-9-16

= 31/-25

= -31/25

= 1 6/25

Therefore, the slope is 1 6/25 or -31/25.

Question 3:

= -3-(-3)/8-(-18)

= 0/26

Therefore, the slope is 0.

Best of Luck!

7 0

3 years ago

Determine the percent of all voters that did not vote Republican or Democrat but voted "other" instead. Round your answer to the

jasenka [17]

The answer is 12.3 percent!

6 0

3 years ago

Find the perimeter of a rectangle whose length is 3 cm greater than its height, and whose area is 40 cm².

jonny [76]

Answer: $26\ cm$

Step-by-step explanation:

The perimeter of a rectangle can be calcualated with this formula:

$P=2l+2h$

Where "l" is the lenght and "h" is the height.

The area of a rectangle can be found with this formula:

$A=lh$

Where "l" is the lenght and "h" is the height.

In this case we know that:

$A=40\ cm^2$

Therfore, we can susbsitute them into $A=lh$ and solve for "h" in order to find its value:

$40=(h+3)h\\\\40=h^2+3h\\\\h^2+3h-40=0$

Find two number whose sum is 3 and whose product is -40. These are -5 and 8. Then, factorizing, we get:

$(h-5)(h+8)=0\\\\h_1=5\\\\h_2=-8$

The positive value is the height. Then:

$h=5\ cm$

Since the length is 3 centimeters greater than its height, we get that this is: Then:

$l=5\ cm+3\ cm\\\\l=8\ cm$

Substituting values into $P=2l+2h$ , we get that the perimeter is:

$P=2(8\ cm)+2(5\ cm)\\\\P=26\ cm$

8 0

3 years ago

Read 2 more answers

What is the ratio that is equivalent to 7/9

Oliga [24]

Answer:

$\frac{14}{18}$ is one equivalent ratio

Step-by-step explanation:

Given the ratio

$\frac{7}{9}$ ← in simplest form

Then to obtain equivalent ratios

Multiply the numerator/ denominator by the same value, that is

$\frac{7(2)}{9(2)}$ = $\frac{14}{18}$

3 0

3 years ago

A) Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given cur

Leno4ka [110]

(a) See the attached sketch. Each shell will have a radius y chosen from the interval [2, 4], a height of x = 2/y, and thickness ∆y. For infinitely many shells, we have ∆y converging to 0, and each super-thin shell contributes an infinitesimal volume of

2π (radius)² (height) = 4πy

Then the volume of the solid is obtained by integrating over [2, 4]:

$\displaystyle 4\pi \int_2^4 y\,\mathrm dy = 2\pi y^2\bigg|_{y=2}^{y=4} = 2\pi (4^2-2^2) = \boxed{24\pi}$

(b) See the other attached sketch. (The text is a bit cluttered, but hopefully you'll understand what is drawn.) Each shell has a radius 9 - x (this is the distance between a given x value in the orange shaded region to the axis of revolution) and a height of 8 - x ³ (and this is the distance between the line y = 8 and the curve y = x ³). Then each shell has a volume of

2π (9 - x)² (8 - x ³) = 2π (648 - 144x + 8x ² - 81x ³ + 18x ⁴ - x ⁵)

so that the overall volume of the solid would be

$\displaystyle 2\pi \int_0^2 (648-144x+8x^2-81x^3+18x^4-x^5)\,\mathrm dx = \boxed{\frac{24296\pi}{15}}$

I leave the details of integrating to you.

3 0

2 years ago