Find the measure of the indicated angle.

The relationship between ttt and rrr is expressed by the equation 2t+3r+6=02t+3r+6=02, t, plus, 3, r, plus, 6, equals, 0. If rrr

Greeley [361]

Question:

The relationship between t and r is expressed by the equation 2t+3r+6 = 0. If r increases by 4, which of the following statements about t must be true?

Answer:

The value of t is reduced by 6 when the value of r is increased by 4

Step-by-step explanation:

Given

$2t + 3r + 6 = 0$

Required

What happens when r is increased by 4

$2t + 3r + 6 = 0$ -------- Equation 1

Subtract 2t from both sides

$2t + 3r + 6 - 2t = 0 - 2t$

$3r + 6 = - 2t$ --- Equation 2

When r is increased by 4, equation 1 becomes

$2T + 3(r+4) + 6 = 0$

Note that the increment of r also affects the value of t; hence, the new value of t is represented by T

Open bracket

$2T + 3r+12 + 6 = 0$

Rearrange

$2T + 3r+6 +12 = 0$

Substitutr -2t for 3r + 6 [From equation 2]

$2T -2t +12 = 0$

Make T the subject of formula

$2T = 2t - 12$

Divide both sides by 2

$\frac{2T}{2} = \frac{2t - 12}{2}$

$T = t - 6$

This means that the value of t is reduced by 6 when the value of r is increased by 4

3 0

3 years ago

Austin has two Marvel posters he wants to hang on the wall in his bedroom. The wall is 16.5 feet wide and each poster is 5 3/4 f

vekshin1

The expression for the distance is w=5/3 ft

Step-by-step explanation:

The wall has a width of 16.5 feet

A single poster has a width of 5 3/4 ft which is equal to 23/4 ft or 5.75 ft

For the two posters, the width occupied is ; 23/4 * 2 = 23/2 = 11.5 ft

Remaining width that will be unoccupied by the posters will be 16.5-11.5=5

A sketch of the wall with the two posters such that the edge of the wall is the same as the distance between the posters will show three un-covered spaces, from edge of wall to the first poster, then between the two posters, and lastly from the second poster to the other edge of the wall.

The un-covered 3 portions have an equal width, lets assume that they have a width of w ft

This means 3w will represent the uncovered width which equals to the unoccupied space of 5 ft

Form equation for the uncovered width as;

3w=5ft

w=5/3 ft ---------the distance from the edge of each poster to the nearest edge of wall.

Learn More

Perimeter of a wall : brainly.com/question/12692838

Keyword :posters, wall, edge, distance

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6 0

3 years ago

Use the discriminate to determine the number and the nature of the solutions of the giving equation.

PolarNik [594]

Answer:

Since b^2 -4ac = 256 we have 2 real distinct root roots

Step-by-step explanation:

4x^2+12x=7

We need to subtract 7 to get it in the proper form

4x^2+12x-7=7-7

4x^2+12x-7=0

The discriminant is b^2 -4ac

when the equation is ax^2 +bx+c

so a =4 b=12 and c=-7

(12)^2 - 4(4)(-7)

144 +112

256

If b^2 -4ac > 0 we have 2 real distinct roots

If b^2 -4ac = 0 we have one real root

If b^2 -4ac < 0 we have two complex root

Since b^2 -4ac = 256 we have 2 real distinct root roots

7 0

3 years ago

2/3 of pizza was left over he ate 1/2 of what was left

Reika [66]

1/2 of 2/3 is 1/3

1/3 of the pizza was left

5 0

3 years ago

If a roll of vinyl costs 37$ and is a total of 210 sq in how much is each square inch and how to I figure that out?

fenix001 [56]

Answer:

0.176 $

Step-by-step explanation:

Write a proportion.

37 dollars is to 210 square inches as x dollars is to 1 square inch.

37 $ / 210 in² = x / 1 in²

x ≈ 0.176 $

5 0

3 years ago