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3 years ago

Can someone please help me and explain this as soon as possible

Mathematics

1 answer:

diamong [38]3 years ago

5 0

y = -0.5 x + b

Through (1, 5.5) we get

5.5 = -0.5(1) + b

Answer: b = 6

y = -0.5x + 6

Through (3,p) we get

p = -0.5 (3) + 6 = 4.5

Through (7,n)

n = -0.5 (7) + 6 = 2.5

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A rectangular field is nine times as long as it is wide. If the perimeter of the field is 1700 feet, what

Leokris [45]

Answer:

I. L = 10.35 feet

II. W = 93.15 feet.

Step-by-step explanation:

Let the length of the rectangle be L.

Let the width of the rectangle be W.

Given the following data;

Perimeter of rectangular field = 1700 feet

Translating the word problem into an algebraic expression, we have;

W = 9L

Mathematically, the formula for the perimeter of a rectangle is;

P = 2(L + W)

A. To write an equation;

X = P = 2(L + W)

B. To find the dimensions of the field;

207 = 2(L + 9L)

207 = 2L + 18L

207 = 20L

L = 207/20

L = 10.35 feet

To find the weight;

W = 9L

W = 9 * 10.35

W = 93.15 feet.

Therefore, the width of the field is

93.15 feet and the length of the field is

10.35 feet.

6 0

2 years ago

Evaluate the expression 5k2 - 7k when k = 3

VikaD [51]

Answer:

Step-by-step explanation:

In this question, you have to solve by plugging in the value to the "k" variable and solve.

Solve:

5(3)^2 - 7(3)

3^2 = 9

5(9) - 7(3)

45 - 7(3)

45 - 21 = 24

Your final answer would be 24.

4 0

2 years ago

Read 2 more answers

The equation of a circle is ( x - 3) 2 + ( y + 2) 2 = 25. The point (8, -2) is on the circle.

Shtirlitz [24]

Answer:

x =8 is the equation of the tangent.

Step-by-step explanation:

Here the equation of the given circle is: $(x-3)^{2} + (y+2)^{2} = 25$

Now, comparing it with the general equation of circle: $(x-h)^{2} + (y -k)^{2} = r^2$

we get the central coordinates (h,k) = (3,-2)

So, the slope of the line joining center and (8, -2) = $\frac{-2 -(-2)}{8-3} = \frac{0}{5} = 0$

Since the slope of line = 0, line is parallel to x axis.

Now, as tangent and the line is perpendicular to each other

⇒Slope of the tangent = -1/ slope of the line = $\frac{-1}{0}$

Now, by point slope formula: the equation of the tangent is

(y-y0) = m (x-x0)

or, $(y +2) = \frac{-1}{0} (x -8)$

or x =8 is the equation of the tangent.

8 0

3 years ago

13=X/4 A. 13/4 B. 4/13 C. 52 D. 9

Snowcat [4.5K]

Answer:

Hi! The answer to your question is C. 52

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!

- Brooklynn Deka

3 0

3 years ago

A trapezoid has bases of lengths 13 cm and 17 cm. The

Vedmedyk [2.9K]

Answer:

135 cm²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = $\frac{1}{2}$ h(a + b)

where h is the height and a, b the parallel bases

Here h = 9, a = 13 and b = 17 , thus

A = $\frac{1}{2}$ × 9 × (13 + 17)

= 0.5 × 9 × 30

= 135 cm²

3 0

3 years ago