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3 years ago

What is the slope of the line?

Mathematics

1 answer:

riadik2000 [5.3K]3 years ago

8 0

Answer:

The slope of the line must be 3

Step-by-step explanation:

The picture of the question in the attached figure

step 1

we know that

The volume of a rectangular prism is equal to

$V_r_p=Bh$ ----> equation A

where

B is the area of the base of the prism

h is the height of the rectangular prism

step 2

The volume of a square pyramid is equal to

$V_s_p=\frac{1}{3}Bh$ -----> equation B

where

B is the area of the square base of pyramid

h is the height of the pyramid

step 3

substitute equation A in equation B

$V_s_p=\frac{1}{3}V_r_p$

Find the relationship between the volume of a rectangular prism and the volume of a square pyramid

$\frac{V_r_p}{V_s_p}=3$

therefore

The slope of the line must be 3

let's check it

To solve for the slope of the line, you must choose two coordinates first and use the formula

$m=\frac{y2-y1}{x2-x1}$

Choosing the points (2,6) and (3,9)

substitute

$m=\frac{9-6}{3-2}=3$ ----> is correct

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Find the value of x and y

vova2212 [387]

let's first off take a look at the tickmarks, three side tickmarks, so all those 3 sides are equal, all have a length of y - 25, so is an equilateral triangle.

there are two angle tickmarks, meaning those two angles are equal, wait a second! if those two angles are equal, that means is an isosceles triangle.

now, in an equilateral triangle, all sides are equal, but also all angles are equal, since the sum of all interior angles is 180°, then each angle is really 60°.

let's notice that angle on the upper-left-corner, is a right-angle, but 60° are on the equilateral triangle, and so the remaining 30° must be on the isosceles triangle.

the isosceles triangle has then a vertex of 30°, and twin angles, the twin angles let's say are each a° so then

30° + a° + a° = 180°

30 + 2a = 180

2a = 150

a = 75° = y

now, let's recall, the isosceles triangle has twin angles but it also has twin sides, so the side "x" and the side with the tickmark are equal.

well, we know that y = 75, so the sides with the tickmark are then (75) - 25 = 50 = x.

5 0

3 years ago

2/3* (1/3+3 1/4 help pls now

ale4655 [162]

Answer:

43/18

Step-by-step explanation:

2/3(1/3+ 3 1/4)

First solve parenthesis.

2/3(1/3+ 3 1/4)

find the lowest common denominator (12) to add the two fractions.

1/3= 4/12;

3 1/4= 13/4 = 39/12

4/12+ 39/12= 43/12

2/3(43/12)

Then multiply the fractions.

2/3(43/12)

Numerator: 2*43= 86

Denominator: 3*12= 36

86/36

Last simplify your fraction.

43/18 or 2 7/18

4 0

3 years ago

Where is the function increasing?

creativ13 [48]

Hello from MrBillDoesMath!

Answer:

Increasing on the interval [-5, -2]

Discussion:

The function value remains unchanged on [-2, 1] and decreases on [1,8]

Thank you,

MrB

7 0

3 years ago

Read 2 more answers

Triangle A B C is cut by line segment S T. Line segment S T goes from side A B to side C B. Lines S T and A C are parallel. The

maksim [4K]

Answer:

Option C.

Step-by-step explanation:

Given information: In triangle ABC, ST║AC, SB=10 ft, BT=9 ft and CT=2.7 ft.

Triangle proportionality theorem: If a line segment parallel to a side of a triangle then the line segments divides the remaining sides proportionally.

Using triangle proportionality theorem we get

$\dfrac{SA}{SB}=\dfrac{CT}{BT}$