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3 years ago

Work out the equation of a line which has a gradient of -2 and passes through the point (1 ,7)

Mathematics

1 answer:

r-ruslan [8.4K]3 years ago

7 0

Answer:

Y=-2x+9

Step-by-step explanation:

The first thing is to know the formula which is Y÷x

Then... The line (1,7)use the coordinates Y and X so it will be as follows... Label 1 and 7 as x, y

So it will be Y-7÷X-1 = the gradient which is - 2

So multiply both sides by X-1

So it will be Y-7=2x+2 again be careful because a negative number multiplied by another negative will give you a positive sign

Remember Y-7....... Take 7 to the other side so it will be a positive...... Then work out the integers

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Solve the system, or show that it has no solution. (If there is no solution, enter NO SOLUTION. If there are an infinite number

liberstina [14]

Answer:

The system has an infinite set of solutions $(x,y) = (x, \frac{x-5}{4})$

Step-by-step explanation:

From the first equation:

$20x - 80y = 100$

$20x = 100 + 80y$

$x = \frac{100 + 80y}{20}$

$x = 5 + 4y$

Replacing on the second equation:

$-14x + 56y = -70$

$-14(5 + 4y) + 56y = -70$

$-70 - 56y + 56y = -70$

$0 = 0$

This means that the system has an infinite number of solutions, considering:

$x = 5 + 4y$

$4y = x - 5$

$y = \frac{x - 5}{4}$

The system has an infinite set of solutions $(x,y) = (x, \frac{x-5}{4})$

8 0

2 years ago

Round each number to the nearest whole number. What is the best estimate for the answer to 276.37 – 67.81? A. 209 B. 208.6

pav-90 [236]

A.209

<span>276.37 – 67.81 = 208.56
The 5 in .56 means round up.
This means 208.56 will turn into 209.</span>

8 0

3 years ago

Read 2 more answers

Which situation would require determining volume?

IrinaK [193]

A

Explanation: finding volume is a measure of how much space an object takes us.

Kiki wants to know how wide or how much space of her wall her window is taking up therefore the answer is A

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3 years ago

In triangle ABC, a = 9, c = 5, and angle B = 120°. Find the measure of angle A to the nearest degree. Show your work.

slamgirl [31]

<u>Answer:</u>

Angle A = 39°

<u>Step-by-step explanation:</u>

We are given that there is a triangle ABC where a = 9, c = 5 and angle B = 120° and we are to find the measure of angle A.

But first we need to find the side b using the law of cosine:

$b^2 = a^2 + c^2- 2a*c*cos(120)$

$b^2 = 81 + 25 - 2*9*5*(-0.5)$

$b=\sqrt{151}$

Now finding angle A using law of cosine:

$cos(A) = \frac{b^2+c^2-a^2}{2b*c}$

$cos(A) = \frac{151+25-81}{2*12.29*5}$

$cos A=0.7730$

$A=39.38$

Therefore, the measure of angle A = 39°.

7 0

3 years ago

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Write an expression that represents the volume of a rectangular-shaped box with a length 3 inches less than its height and a wid

AfilCa [17]

The expression that represents the volume of a rectangular-shaped box is: A. x³ + x² - 12x.

<h3>What is the Volume of a Rectangular Prism?</h3>

A rectangular-shaped box is a rectangular prism. To find the volume of a rectangular-shaped box, we would apply the formula of the volume of a rectangular prism, which is expressed as: V = (length)(width)(height).

We are given the following dimensions of the rectangular-shaped box:

Let the height be represented as x

Height of the rectangular-shaped box = x in.

Length of the rectangular-shaped box = (x - 3) in.

Width of the rectangular-shaped box = (x + 4) in.

Plug in the values into the volume formula:

Volume of the rectangular-shaped box = (x - 3)(x)(x + 4)

Expand (x - 3)(x)(x + 4)

Volume of the rectangular-shaped box = x³ + x² - 12x.

Therefore, the expression that represents the volume of a rectangular-shaped box with the given dimensions is: A. x³ + x² - 12x.

Learn more about the volume of rectangular prism on:

brainly.com/question/12917973

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1 year ago

Work out the equation of a line which has a gradient of -2 and passes through the point (1 ,7)​

Work out the equation of a line which has a gradient of -2 and passes through the point (1 ,7)