I need help plz anyone

Construct 3 linear equation starting with qiven solution z = 1/3

Andreyy89

Answer:

(a) $9z+2=5$

(b) $21z-11=-4$

(c) $4z=2-2z$

Step-by-step explanation:

We are required to construct 3 linear equations starting with the given solution z = 1/3.

Equation 1

$z=\frac{1}{3}$

Multiply both sides by 9

$9z=\frac{1}{3}\times 9\\9z=3$

Rewrite 3 as 5-2

9z=5-2

Add 2 to both sides

Our first equation is: $9z+2=5$

Equation 2

$z=\frac{1}{3}$

Multiply both sides by 21

$21z=\frac{1}{3}\times 21\\21z=7$

Rewrite 7 as 11-4

21z=11-4

Subtract 11 from both sides

Our second equation is: $21z-11=-4$

Equation 3

$z=\frac{1}{3}$

Multiply both sides by 6

$6z=\frac{1}{3}\times 6\\6z=2$

Rewrite 6z as 4z+2z

4z+2z=2

Subtract 2z from both sides

Our third equation is: $4z=2-2z$

4 0

3 years ago

Katya made another set of dolls. In the new set, the largest doll has a diameter of 8.75 cm and a height of 15.6 cm. Is this a d

Natali5045456 [20]

Complete Question:

Katya creates handmade sets of dolls, which is sold to craft and souvenir stores. The first set of dolls has a middle diameter of 7cm and a height of 12cm.

Katya made another set of dolls. In the new set, the largest doll has a diameter of 8.75 cm and a height of 15.6 cm. Is this a dilation of the first set of dolls?

Answer:

The new set is not a dilation of the first set

Step-by-step explanation:

Given

First Set:

$Height = 12cm$

$Diameter = 7cm$

New Set:

$Height = 15.6cm$

$Diameter = 8.75cm$

Required

Determine if the new set is a dilation of the second

To do this, we pass through the following steps:

1. Divide the height of the first set by the new set

2. Divide the diameter of the first set by the new set

3. Result in (1) and (2) must be equal if the new set is a dilation of the first set

Following the steps above:

(1)

$Height\ Ratio = \frac{H_2}{H_1}$

$Height\ Ratio = \frac{15.6}{12}$

$Height\ Ratio = 1.3$

(2)

$Diameter\ Ratio = \frac{D_2}{D_1}$

$Diameter\ Ratio = \frac{8.75}{7}$

$Diameter\ Ratio = 1.25$

(3) Make comparison

The ratio in (1) does not equal the ratio in (2)

i.e.

$1.3 \neq 1.25$

Hence, the new set is not a dilation of the first set

7 0

3 years ago

Find the surface area of the prism. Explain how you got your answer pls

zavuch27 [327]

Answer:

Step-by-step explanation: I’m too lazy to do it but just substitute the values into the formula of a Rectangular prism Surface Area

3 0

3 years ago

Read 2 more answers

45min/hour = ___ ft/seconds

emmasim [6.3K]

The answer to your question is 45 miles / 1 hour * 5280 feet / 1 mile * 1 hour / 3660 seconds = 45 * 5280 * 1 / 1 * 1 * 3660 = 2737600 feet / 3660 second = 64.918

6 0

3 years ago

What is the slope of the line represented by the equation

marin [14]

Answer:

a). -1/2

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

I need help plz anyone ​

I need help plz anyone