Which graph represents a proportional relationship?

Mathematics

1 answer:

Alina [70]2 years ago

7 0

Answer:

If the relationship between two quantities is a proportional relationship, this relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate. For each point (x, y) on the graph, ž is equal to k, where k is the unit rate. The point (1, k) is a point on the graph.

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Does 2 1/3-1 3/4 need require renaming

ANEK [815]

Answer:

$\frac{7}{12}$

Step-by-step explanation:

$2 \frac{1}{3} - 1 \frac{3}{4}$

The fractions above are known as mixed numbers (that is, fractions that contain the combination of a whole number and proper fraction). The mixed numbers can equally be renamed as improper fractions. However, renaming can only occur the the mixed numbers are being transformed as below:

$\frac{7}{3} - \frac{7}{4}$

The transformation occur through a simple approach thus: for the first mixed number; 2 1/3 = 2 multiplied by 3 plus 1 divide by 3 equals 7/3. Similarly, mixed number 1 3/4 is transformed by this: 1 multiplied by 4 plus 3 divide by 4 equals 7/4.

Simplifying further to arrive at final result implies,

$\frac{7}{3} - \frac{7}{4}$

Take the LCM of the denominators (4 × 3 =12) and simplify thus:

$= \frac{28 - 21}{12}$

$= \frac{7}{12}$

6 0

3 years ago

A pedestrian walks 7.4 kilometers west

attashe74 [19]

Answer: 11.8 km

Step-by-step explanation:

The resulting figure is a right angled triangle shown below

$Apply the Pythagorean theorem to find out the magnitude of the resultant vector $A B$ in the triangle $A B C$ as follows -$$\begin{aligned}&A B^{2}=B C^{2}+C A^{2} \text { (Hypotenuse }{ }^{2}=\text { Base }^{2}+\text { Adjacent }^{2} \text { ) } \\&=7.4^{2}+9.2^{2} \\&=139.4 \\&A B=11.806777 \\&\quad A B \approx 11.8 \mathrm{~km} \text { (Rounded off to the nearest tenth) }\end{aligned}$