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3 years ago

Determine the intercepts of the line

Mathematics

1 answer:

saul85 [17]3 years ago

5 0

Answer:

y-int=(0,26)

x-int=(-6.5,0)

Step-by-step explanation:

To find the y-intercept, substitute 0 in for x

y-6=4(0+5)

y-6=4(5)

y=26

y-int=(0,26)

To find the x-intercept, substitute 0 in for y

0-6=4(x+5)

-6=4x+20

-26=4x

x=-6.5

x-int=(-6.5,0)

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Rainfall collected in a rain gauge was found to be 2.3 cm when rounded to the nearest tenth of a centimeter.

Korolek [52]

Answer:

(a). 2.251 cm , 2.349 cm, 2.295 cm

(b). 0.023 meters.

Step-by-step explanation:

(a). We are asked to to choose the options that shows the actual measurement of the rainfall.

Since the rounded figure is 2.3 cm, this means that either the tenths digit is 3 with hundredths digit less than 5, or tenths digit is 2 with hundredths digit greater than or equal to 5.

Let us check our given choices one by one.

$2.251\text{ cm}\approx 2.3\text{ cm}$

$2.349\text{ cm}\approx 2.3\text{ cm}$

$2.352\text{ cm}\approx 2.4\text{ cm}$

$2.295\text{ cm}\approx 2.3\text{ cm}$

Therefore, the correct choices are 2.251 cm , 2.349 cm and 2.295 cm.

(b) We know that 1 cm equals 0.01 meters.

To convert 2.3 cm to meters, we will multiply 2.3 by 0.01.

$2.3\text{ cm}=2.3\text{ cm}\times \frac{0.01\text{ meters}}{\text{cm}}$

$2.3\text{ cm}=0.023\text{ meters}$

Therefore, the rounded measurement of rain would be 0.023 meters.

8 0

3 years ago

the ratio of girls to boys in an astronomy club was 3:2. there were 30 girls. how many total members were there in the club

lakkis [162]

Answer:

Explanation: the ratio 2:4 can be reduced to 1:2, where the number of girls corresponds to the 1 and the number of boys corresponds to the 2. If there are 14 girls, then there must be 28 boys (14 x 2 = 28). Now to get the total number we need to add the total number of boys and girls together. So 14 + 28 = 42

Step-by-step explanation:

5 0

3 years ago

What is the common ratio of 2, 10/3, 50/9

mojhsa [17]

The common ratio of 2, 10/3, 50/9 is $\frac{10}{6}$

<u>Solution:</u>

Given, series of elements are $2, \frac{10}{3}, \frac{50}{9}$

We have to find the common ratio of the above given series.

We know that, common ratio of an G.P is division of any number in that series with the previous number of the series.

So, now take $\frac{10}{3}$ and 2

$\text { Then, common ratio }=\frac{\frac{10}{3}}{2}$

$\begin{array}{l}{\text { Common ratio }=\frac{10}{3} \times \frac{1}{2}} \\\\ {\text { Common ratio }=\frac{10}{3 \times 2}=\frac{10}{6}}\end{array}$

Hence, the common ratio of the given series is $\frac{10}{6}$

6 0

3 years ago

The sum of 8 times a number and 9 equals 3.<br> Use the variable W for the unknown number

olga55 [171]

Answer: W= -0.75
Explanation: 8 x -0.75= -6
-6 + 9= 3

7 0

3 years ago

Mandy used the graph to write the equation of the line it represents. She took these steps. 1. y−intercept = (0, 2) 2. Slope = r

Katyanochek1 [597]

Based on the information given about the equation, y will be 0.5x + 2.

<h3>How to illustrate the equation?</h3>

From the information given, it should be noted that the equation of the line it represents was given and the y intercept is = (0, 2).

The function to represent y will be:

y = mx + b

y = (1/2)x + 2

y = 0.5x + 2

In conclusion, y = 0.5x + 2.

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

3 0

2 years ago