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3 years ago

0 / 3 Marks Homework Progress 16 / 33 Marks

Mathematics

2 answers:

ehidna [41]3 years ago

6 0

Answer:

what do you meen by this

Step-by-step explanation:

just olya [345]3 years ago

5 0

What does this mean... I don’t understand

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Rewrite the equation 5x – 8y + 3 = 5x – 7y + 2 into general form (ax + by + c = 0).

GarryVolchara [31]

Answer:

y-1=0

Step-by-step explanation:

To rewrite the equation 5x - 8y + 3 = 5x - 7y + 2, combine like terms across the equal sign using inverse operations.

5x - 8y + 3 = 5x - 7y + 2

5x - 5x - 8y + 3 = 5x - 5x -7y + 2

-8y + 3 = -7y + 2

-y +3 = 2

-y = -1

y- 1 = 0

5 0

3 years ago

A rectangle is drawn so that the width is 4 feet shorter than the length. The area of the rectangle is 45 square feet. Find the

svetlana [45]

The length of the rectangle is 9 feet

Step-by-step explanation:

A rectangle is drawn so that:

The width is 4 feet shorter than the length
The area of the rectangle is 45 square feet

Assume that the length of the rectangle is x feet

∵ The length of the rectangle = x feet

∵ The width of the rectangle is 4 feet shorter than the length

∴ The width of the rectangle = (x - 4) feet

∵ The area of the rectangle = length × width

∴ The area of the rectangle = x(x - 4)

- Simplify it

∴ The area of the rectangle = x² - 4x

∵ The area of the square = 45 feet²

- Equate the two expressions of the area

∴ x² - 4x = 45

- Subtract 45 from both sides

∴ x² - 4x - 45 = 0

Use your calculator to find the value of x

∴ x = 9 and x = -5

- We will reject the value of x = -5 because there is no negative

dimensions

∴ x = 9

∵ The length of the rectangle = x

∴ The length of the rectangle = 9 feet

The length of the rectangle is 9 feet

Learn more:

You can learn more about area of figures in brainly.com/question/4713715

#LearnwithBrainly

8 0

3 years ago

Give the equation of the circle centered at the origin and passing through the point , 0−9.

e-lub [12.9K]

Answer:

$x^2+y^2=81$

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The radius of the circle is the distance between the center and any point on the circle

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have the points

(0,0) and (0,-9)

substitute in the formula

$r=\sqrt{-9-0)^{2}+(0-0)^{2}}$

$r=\sqrt{-9)^{2}+(0)^{2}}$

$r=9/ units$

step 2

Find the equation of the circle

The equation of the circle in center radius form is equal to

$(x-h)^2+(y-k)^2=r^2$

we have

$(h,k)=(0,0)\\r=9\ units$

substitute

$(x-0)^2+(y-0)^2=9^2$

$x^2+y^2=81$

3 0

3 years ago

Juan will spend at most on gifts. So far, he has spent . What are the possible additional amounts he will spend?

Andru [333]

Can you send a photo of it? I can't understand

7 0

3 years ago

An item is priced at $13.94. If the sales tax is 4%, what does the item cost including sales tax?

oksano4ka [1.4K]

Answer:

$13.98

Step-by-step explanation:

Convert 4% into decimal = 0.04

Now...

13.94 + 0.04 = 13.98

6 0

3 years ago