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3 years ago

Kayla reads the same number of books each month. She reads at a rate of 14 books every 7 months. She claims

Mathematics

1 answer:

Viktor [21]3 years ago

4 0

Answer:

28 books and 14 months

Step-by-step explanation:

Because 28 is greater then 14 by 14 not 7

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PLEASE HELP (answer only if you now)

____ [38]

Answer:

y = 30

Step-by-step explanation:

If y varies directly with x, then you can make a ratio:

24/8

Simplify the ratio:

3/1

Y is always the first number/ on top in a ratio, that's where I get 24 over 8

3/1 means that y is triple x

so 10 * 3 is 30

8 0

3 years ago

1-6 HELP PLEASE!! I DONT UNDERSTAND!!!

Leto [7]

Sorry i cant tell which is 1 through 6

3 0

4 years ago

I'm supposed to solve for PQ. it's pythagorean theorem.

adelina 88 [10]

Answer:

29 i think

Step-by-step explanation:

pythagoreon thereom is a^2+b^2=c^2 so c^2 being the hypotneuse you would do 2*2=4 +5*5=25 and 4+25=29

7 0

3 years ago

I don’t understand how to do this

kherson [118]

For Part A, you need to input x=6 into the equation 8x + 8 = 56 to see if 6 is a solution of that equation. It'll be 8(6) + 8 = 56 -> 48 + 8 = 56 -> 56 = 56. Does 56 equal 56? Then yes, x = 6 is a solution of the equation 8x + 8 = 56.

For Part B, it changed the value of x from 6 to 9. It also states that the left side of the equation (left side of the equal sign) stays the same so it'll still be 8x + 8. You do what you did in Part A, but instead of inputting 6, you do 9. It'll be like this: 8(9) + 8. It's asking how the right side would change, but that's basically asking what the answer is. If you do the math correctly, it'd be 72+8, which would be 80. The right side would need to be 80 if the solution is now x = 9.

7 0

3 years ago

Find an equation of the circle that satisfies the stated conditions. (Give your answer in standard notation.)

Murljashka [212]

Answer:

Equation of circle is: $\mathbf{(x+1)^2+(y-5)^2=28.94}$

Step-by-step explanation:

We need to find an equation of the circle that satisfies the stated conditions. (Give your answer in standard notation.)

Endpoints of a diameter A(−6, 3) and B(4, 7)

The general equation of circle is: $(x-h)^2+(y-k)^2=r^2$

Where r is radius and (h,k) is centre of circle.

Finding centre of circle

The midpoint of diameter is centre of circle.

So, finding midpoint of A(−6, 3) and B(4, 7)

The formula used is: $Midpoint=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )$

We have x_1=-6, y_1=3, x_2=4, y_2=7

$Midpoint=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )\\Midpoint=(\frac{-6+4}{2} ,\frac{3+7}{2} )\\Midpoint=(\frac{-2}{2} ,\frac{10}{2} )\\Midpoint=(-1 ,5)$

So, we get Midpoint (x,y)=(-1,5)

Finding radius of circle

Radius of circle can be found by first finding diameter using distance formula and then divide it by 2.

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\Distance=\sqrt{(4-(-6))^2+(7-3)^2} \\Distance=\sqrt{(4+6)^2+(7-3)^2} \\Distance=\sqrt{(10)^2+(4)^2} \\Distance=\sqrt{100+16}\\Distance=\sqrt{116}\\Distance = 10.77$

So, Diameter = 10.77

Radius = Diameter/2 = 5.38

Equation of circle

Equation of circle having centre(-1,5) and radius r = 5.38 is:

$(x-h)^2+(y-k)^2=r^2\\(x-(-1))^2+(y-5)^2=(5.38)^2\\(x+1)^2+(y-5)^2=28.94$

So, Equation of circle is: $\mathbf{(x+1)^2+(y-5)^2=28.94}$

4 0

3 years ago