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2 years ago

EASY SCALE FACTOR SHOW WORK

Mathematics

1 answer:

Leni [432]2 years ago

6 0

The scale factor would be $\frac{9.6}{6} =1.6$

So the scale factor is 1.6

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Which equation represents the circle described?

faust18 [17]

ANSWER

${(x - 4)}^{2} + {(y - 3)}^{2} = {2}^{2}$

EXPLANATION

The equation of the circle with radius r and centre (a,b) is given by

$(x - a)^{2} + {(x - b)}^{2} = {r}^{2}$

The radius is

$r = 2$

We need to determine the center of the circle from the given equation of another circle, which is,

${x}^{2} + {y}^{2} - 8x - 6y + 24 = 0$

We complete the square to obtain,

${x}^{2} - 8x+ {y}^{2} - 6y + 24 = 0$

${x}^{2} - 8x+ {y}^{2} - 6y = - 24$
${x}^{2} - 8x+ {( - 4)}^{2} + {y}^{2} - 6y + {( - 3)}^{2} = - 24 + {( - 3)}^{2} + {( - 4)}^{2}$

${(x - 4)}^{2} + {(y - 3)}^{2} = - 24 + 9+ 16$

${(x - 4)}^{2} + {(y - 3)}^{2} = 1$

The centre of this circle is (4,3)

Hence the center of the circle whose equation we want to find is also (4,3).

With this center and radius 2, the required equation is,

${(x - 4)}^{2} + {(y - 3)}^{2} = {2}^{2}$

Therefore the correct answer is C.

3 0

3 years ago

Read 2 more answers

What is D to the secind power plus 8D plus 7

Feliz [49]

It matters what D is.
the way to do it is like 8 to the third power th math is:
8 times 8=64
8 times 64=512
8 times 512=4096
3 times

7 0

2 years ago

5/7 divided by 20/5 <br> then simply it completely

Pavlova-9 [17]

Answer:

5 / 28

Step-by-step explanation:

5/7 ÷ 20/5

= 5/7 x 5/20

= (5 x 5) / (7 x 20)

= 25 / 140 (divide numerator and denominator by 5)

= 5 / 28

5 0

3 years ago

Graph y = 3x - 3 and label the x- and y-intercepts. My answer: (0,3)

Lesechka [4]

The slope-intercept form of the linear function is y = m x + b , where m is the slope and b is y-intercept.
Here we have: y = 3 x - 3
a ) When y = 0
0 = 3 x - 3
- 3 x = - 3
x = ( - 3 ) : ( - 3 )
x = 1
When x = 0
y = 3 * 0 - 3
y = - 3
So x - intercept is ( 1, 0 ) and y-intercept is ( 0, - 3 ).
b ) The slope:
m = ( y2 - y1) / ( x2 - x1 ) =
= ( - 3 - 3 ) / ( 5- 7 ) = ( - 6 ) /( - 2 ) = 6 / 2 = 3
Answer: The slope m = 3 .

5 0

2 years ago

☺️help would be appreciated

Lady_Fox [76]

All of the angles in a triangle add up to 180°.
${??} = 180 - (19 + 15) \\ {??} = 180 - 34 \\ {?}{?} = 146$
The missing angle is 146°

7 0

2 years ago