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3 years ago

What is the slope of the line in the graph? Options: -4/3 -3/4 3/4 4/3

Mathematics

1 answer:

Marina CMI [18]3 years ago

6 0

Answer:

Option 2: -¾

Step-by-step explanation:

First identify 2 points on the line.

(0, 1), (4, -2)

Substitute the coordinates into the gradient formula below:

$\boxed{gradient = \frac{y1 - y2}{x1 - x2} }$

☆ (x₁, y₁) is the 1st coordinate and (x₂, y₂) is the 2nd coordinate.

Slope of the line

$= \frac{1 - ( - 2)}{0 - 4}$

$= \frac{1 + 2}{ - 4}$

$= - \frac{3}{4}$

☆ Since the line is sloping downwards looking from the left to right, the line must have a negative slope.

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There would be 9 birds left. 10-1=9

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3 years ago

Daniel bought four bags of potatoes. The weight of the first bag was 2.6 pounds. The second bag weighed 0.4 pound less than twic

ipn [44]

Answer:

Average weight of the bags of potatoes is 3.8 pounds.

Step-by-step explanation:

Given:

Weight of the first bag, $W_{1}=2.6$ pounds.

Weight of the second bag is 0.4 pounds less than twice the weight of first bag. This means,

$W_{2}=2W_{1}-0.4=2(2.6)-0.4=5.2-0.4=4.8\textrm{ pounds}$

Weight of the third bag is 0.6 pounds more than that of the first bag. This means,

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$W_{4}=W_{2}-0.3=4.8-0.3=4.5\textrm{ pounds}$

Therefore, the average weight of the bags of potatoes is given as the sum of all the weights and then divide the sum by 4. Therefore,

$W_{average}=\frac{W_{1}+W_{2}+W_{3}+W_{4}}{4}=\frac{2.6+4.8+3.2+4.5}{2}=\frac{15.1}{4}=3.775\approx 3.8$

Therefore, average weight of the bags of potatoes is 3.8 pounds.

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3 years ago

In the image, shape ABCD is similar to shape WXYZ. Find the measure of side ZW.

vladimir2022 [97]

Solution:

we are given that

In the image, shape ABCD is similar to shape WXYZ.

we have been asked to find the measure of side ZW.

As we know that when two shapes are similar then the ratios of their corresponding sides are equal.

So we can write

$\frac{zw}{6}= \frac{18}{24}\\
\\
ZW=6*\frac{18}{24}\\
\\
ZW=\frac{18}{4}\\
\\
ZW=4.5\\$

Hence ZW=4.5 Inches.

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valentinak56 [21]

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3 years ago

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3 years ago

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