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nata0808 [166]
3 years ago
9

What is the equation of the line, in slope-intercept form, that passes through (4.2) and (-2, -3)?

Mathematics
1 answer:
Keith_Richards [23]3 years ago
3 0

Answer:

y = 5/6x + -8

Step-by-step explanation:

you first need to find the gradient using the formula m = (y2 - y1)/(x2 - x1)

the gradient would be 5/6.

the slope intercept form equation is y = mx + c. so by taking one of the points, 2 = 5/6(4) + c

12 = 5(4) + c

12 = 20 + c

c = 12 - 20

c = -8

hence, y = 5/4x + -8

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I need the answer I need help with this question
madreJ [45]
You can print a copy of the graph, stick a pin in the origin, and rotate it 180° to see where the figure ends up.

The origin is the midpoint between each vertex and its image.
Negate every coordinate value, for example, J(-5, -3) gets rotated to J'(5, 3).

3 0
3 years ago
A conical-shaped umbrella has a radius of 0.4 m and a height of 0.45 m. Calculate the amount of fabric needed to manufacture thi
GenaCL600 [577]

Answer:

0.76m²

Step-by-step explanation:

In the above question, we are given the following information.

Radius = 0.4m

Height = 0.45m

To solve this question, The umbrella is CONICAL in shape and it has no BASE, we would be finding the lateral surface area of a cone. Since we are given height and radius :

Lateral Surface Area of a cone =

πr√(h² + r²)

= π × 0.4√(0.45² + 0.4)

= 0.7566m²

≈ Approximately = 0.76m²

Therefore, the amount of fabric needed to manufacture this umbrella is 0.76m²

8 0
3 years ago
A principal of $3600 is invested at 7.5% interest, compounded annually. How much will the investment be worth after 6 years?
zaharov [31]

After 6 years the investment is $5555.88

Step-by-step explanation:

A principal of $3600 is invested at 7.5% interest, compounded annually. How much will the investment be worth after 6 years?

The formula used to find future value is:

A(t)=P(1+\frac{r}{n})^{nt}

where A(t) = Accumulated amount

P = Principal Amount

r = annual rate

t= time

n=  compounding periods per year

We are given:

P = $3600

r = 7.5 %

t = 6

n = 1

Putting values in formula:

A(t)=P(1+\frac{r}{n})^{nt}\\A(t)=3600(1+\frac{0.075}{1})^{6*1}\\A(t)=3600(\frac{1.075}{1})^6\\A(t)=3600(1.075)^6\\A(t)=3600(1.543)\\A(t)=5555.88

So, After 6 years the investment is $5555.88

Keywords: Compound Interest formula

Learn more about Compound Interest formula at:

  • brainly.com/question/4361464
  • brainly.com/question/12773544
  • brainly.com/question/2869849

#learnwithBrainly

8 0
4 years ago
Help please!!!! will upvote answers!!!!
statuscvo [17]
Formula for finding the area of a rectangle: length x width

Formula for finding the volume of a rectangular prism: V = lwh
7 0
3 years ago
Determine the range of the following graph
Ierofanga [76]

Given:

The graph of a function is given.

To find:

The range of the graph.

Solution:

We know that, the domain is the set of input values and range is the set of output values.

In a graph, domain is represented by the x-axis and range is represented by the y-axis.

From the given graph it is clear that there is an open circle at (-8,-8) and a closed circle at (3,4). It means the function is not defined at (-8,-8) but defined for (3,4).

The graph of the function is defined over the interval -8. So, the domain is (-8,3].

The values of the function lie in the interval -8. So, the range is (-8,4].

Therefore, the range of the function are all real values over the interval (-8,4].

7 0
3 years ago
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