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3 years ago

The product of two numbers is 50 and their difference is 5. What are the two numbers?

Mathematics

1 answer:

lyudmila [28]3 years ago

6 0

27.5 and 22.5 are the two numbers

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The ratio 4/7 to 8/9 has the unit rate 9/14

Setler79 [48]

Answer:

Answer:

true

Step-by-step explanation:

4/7 = 8/9

= 4*9/7*8

= 36/56

= 2*2*3*3/2*2*2*7

= 9/14

proved

Step-by-step explanation:

6 0

3 years ago

Find an equation of the circle that satisfies the given conditions. (Give your answer in terms of x and y.) Center at the origin

Elanso [62]

Answer:

The equation of circle is $x^2+y^2=65$ .

Step-by-step explanation:

It is given that the circle passes through the point (8,1) and center at the origin.

The distance between any point and the circle and center is called radius. it means radius of the given circle is the distance between (0,0) and (8,1).

Distance formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using distance formula the radius of circle is

$r=\sqrt{\left(8-0\right)^2+\left(1-0\right)^2}=\sqrt{65}$

The standard form of a circle is

$(x-h)^2+(y-k)^2=r^2$ .... (1)

where, (h,k) is center and r is radius.

The center of the circle is (0,0). So h=0 and k=0.

Substitute h=0, k=0 and $r=\sqrt{65}$ in equation (1).

$(x-0)^2+(y-0)^2=(\sqrt{65})^2$

$x^2+y^2=65$

Therefore the equation of circle is $x^2+y^2=65$ .

5 0

3 years ago

What is the equation of the line shown in this graph

prisoha [69]

Slope = (2+4)/(1-4) = 6/-3 = -2
passing thru (1.2)
y = mx + b
b = y - mx
b = 2 - (-2)(1)
b = 2 + 2
b = 4

equation
y = -2x + 4

7 0

3 years ago

Another One I need help withhhh sorrry

Effectus [21]

Answer:

y = 2x+3

Step-by-step explanation:

Sorry I'm probably too late since Quizziz doesn't wait unless you have the freeze timer thing.

y = mx+b

b is the y intercept. The y intercept (when x=0) is given in the table.

Now plug a coordinate in to solve for m.

My coordinates: (1,5)

5 = m + 3

Solve.

2 = m

m = 2

Note: never plug in the y intercept when looking for m.

You can also find the slope by (subtracting the y value of one coordinate from another y value of another coordinate)/(subtracting x value from the first y coordinate above from the x value from the second coordinate).

In this case, it'd be

m = (7-5)/(2-1)

m = 2/1

m = 2

6 0

3 years ago

In the diagram, figure PMNO is the image of a figure ABCD.

ollegr [7]

Answer:

angle B is angle M

Look at the position.

Or the name of figures

(PMNO) and (ABCD) ,M and B are the second.

4 0

3 years ago

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