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2 years ago

The length of a rectangle is shown below:

Mathematics

1 answer:

Tanzania [10]2 years ago

3 0

Answer:

C(5, −5), D(−4, −5)

Step-by-step explanation:

9 across

A(-4, 5) ————————— B(5, 5)

| |

| 90 square units | 10 down

| |

D(-4, -5) ————————— C(5, -5)

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A farmer finds there is a linear relationship between the number of bean stalks, nn, she plants and the yield, yy, each plant pr

Alex

The linear relationship in the form y = y = 3n + 72

What is linear relationship?

In statistics, a straight line of correlation between two variables is referred to as a linear relationship (or linear association). The mathematical equation y = mx + b can be used to represent linear relationships graphically.

<h3>According to the given information :</h3>

Each plant generates 34 oz of beans when she plants 30 stalks, and 33 stalks results in 33 oz of beans per plant, according to the information we have provided.

Equation 1 using data 1:

y = mn + b

Equation 1 using data 1:

30 = 34m + b

Equation 2 using data 2:

33 = 33m + b

Subtract equation 1 from equation 2:

33 - 30 = 34m + b - 33m - b

3 = m

m = 3

Rearrange equation 1 to solve for b:

b = 34(3) - 30

b = 102 - 30

b = 72

Therefore the equation becomes:

y = 3n + 72

The linear relationship in the form y = y = 3n + 72

To know more about linear relationship visit:

brainly.com/question/28158670

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5 0

2 years ago

I need help with my math I'm doing solving equations using addition and subtraction

Flura [38]

N+3=7. To find n, you need to have it by itself, so you can do that by subtracting 3 on both sides, so it would look like: n+3-3=7-3. Then you have n=4.

3 0

2 years ago

Read 2 more answers

What is the greatest common factor of the number pair 6x and 9x

Ulleksa [173]

Answer:

gcf is 3x. pls mark brainliest

Step-by-step explanation:

4 0

2 years ago

Question 15 (5 points)<br> Find the angle between u = <7, -2> and v= (-1,2>.

Tema [17]

Answer:

Approximately $2.3127$ radians, which is approximately $132.51^{\circ}$ .

Step-by-step explanation:

Dot product between the two vectors:

$\begin{aligned}& u\cdot v \\ =\; & 7 \times (-1) + (-2) \times 2 \\ =\; & (-11) \end{aligned}$ .

Magnitude of the two vectors:

$\begin{aligned} \| u \| &= \sqrt{{7}^{2} + {(-2)}^{2}} \\ &= \sqrt{53} \end{aligned}$ .

$\begin{aligned} \| v \| &= \sqrt{{(-1)}^{2} + {2}^{2}} \\ &= \sqrt{5} \end{aligned}$ .

Let $\theta$ denote the angle between these two vectors. By the property of dot products:

$\begin{aligned} \cos(\theta) &= \frac{u \cdot v}{\|u\| \, \| v \|} \\ &= \frac{(-11)}{(\sqrt{53})\, (\sqrt{5})} \\ &= \frac{(-11)}{\sqrt{265}}\end{aligned}$ .

Apply the inverse cosine function ${\rm arccos}$ to find the value of this angle:

$\begin{aligned} \theta &= \arccos\left(\frac{u \cdot v}{\| u \| \, \| v \|}\right) \\ &= \arccos\left(\frac{(-11)}{\sqrt{265}}\right) \\ & \approx \text{$2.3127$ radians} \\ &= 2.3127 \times \frac{180^{\circ}}{\pi} \\ &\approx 132.51^{\circ}\end{aligned}$ .