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3 years ago

Please HELPppppppppppppppp

Mathematics

1 answer:

aleksandr82 [10.1K]3 years ago

6 0

Answer:

Point of intersections are (0, -7) and (5, -2).

Step-by-step explanation:

From the graph attached,

A straight line is intersecting the circle at the two points (0, 7) and (5, -2).

Now solve algebraically,

Equation of the line → y = x - 7 -------(1)

Equation of the circle → (x - 5)² + (y + 7)² = 25 -------(2)

By substituting the value of y from equation (1) to equation (2)

(x - 5)² + (x - 7 + 7)² = 25

(x - 5)² + x² = 25

x² - 10x + 25 + x² = 25

2x² - 10x = 0

x² - 5x = 0

x(x - 5) = 0

x = 0, 5

From equation (1),

y = 0 - 7 = -7

y = 5 - 7 = -2

Therefore, point of intersections are (0, -7) and (5, -2).

You might be interested in

Jill has a photograph that is 4 inches wide by 6 inches high. If she enlarges it so that the width is 12

Nadya [2.5K]

Answer:

The inches in height will be 18 inches.

Step-by-step explanation:

Okay so we know that the original width is 4 inches and she enlarged that to 12 inches

So what we first have to do is find out how much did the photograph "grow" per se. To find this we have to divide 12 by 4. 12 divided by 4 = 3.

So, the width of the photograph grew "times 3" inches

Now whatever you do to the width you have to do to the height. In this case, what is "3 times" 6 (which is the height). 3 times 6 = 18 inches

So in simpler words 12 divided 4 = 3 x 6 = 18 inches

The inches in height will be 18 inches.

Jill has a square with a width of 12 inches, and a height of 18 inches.

Have a wonderful day!

5 0

2 years ago

Find the volume of a pyramid with a square base, where the perimeter of the

lianna [129]

Answer:

$42.7\,\,cubic\,\, meters$

Step-by-step explanation:

Given: Perimeter of base of a pyramid = 12.8 m

Height of the pyramid = 12.5 m

To find: volume of a pyramid

Solution:

Perimeter of base of a pyramid = 12.8 m

As base of the pyramid is a square,

12.8 = $4(side\,\,of\,\,a\,\,square)$

side of a square = $\frac{12.8}{4}=3.2\,\,m$

Area of a square (A) = $(side\,\,of\,\,a\,\,square)^2=(3.2)^2=10.24\,\,m^2$

Height of the pyramid (h) = 12.5 m

Volume of the pyramid = $\frac{Ah}{3}=\frac{1}{3}(10.24)(12.5)=42.7\,\,cubic \,\,meters$

6 0

3 years ago

If there's a how and a guy picks her up who's getting abused

Vika [28.1K]

What does this even mean

8 0

2 years ago

Which is the graph of y=(x-1)4-3?

Bumek [7]

Answer:

There is no graph attached but it would look like this

4 0

1 year ago

Please help me with whatever you can i really need to get this done :)

Nady [450]

Answer:

7a) m=2x

7b) m=-3/4x

8)m=-5x

9) m=1/10x

10) 1/4x

Step-by-step explanation: So first what you want to do is take two points from your graph that you see that your line is on.

for example, on a), you would take lets say (3,2) and (0,-4)

*tip! if your X and Y intercepts are whole numbers it will be best to use them but if not, any two points will work.

so then you would first take your y coordinates of each point and plug it into the equation, $\frac{y^2-y^1}{x^2-x^1}$ .

so lets break it down!

so lets first take our y coordinates, (3,2) and (0,-4) and plug them into the equations

$\frac{-4-2}{x^2-x^1}$

so then lets subtract! -4 -2 gives us -6. so the numerator is -6.

lets now plug in our x values (3,2) and (0,-4)

$\frac{-6}{0-3}$

after we do the subtraction, we get -3 as our denominator.

so we are left with -6/-3. so -6/-3 gives us a slope of 2.

therefore you have Y=2x+b

Hopes this helps :)!

6 0

2 years ago