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What is 7 over 12 / 5 over 9? Answer truthfully, please!

attashe74 [19]

In math, "over" and "/" and "÷" mean the same thing. The expression you have written is

... 7/12/5/9 = 7/540

It seems possible you may want the ratio of two fractions to be simplified. Perhaps you intend ...

... (7/12)/(5/9) = (7/12)×(9/5) = (7×9)/(12×5) = 63/60

... = 21/20 = 1 1/20

_____

Dividing by anything is the same as multiplying by its reciprocal. This is a convenient fact when dividing by a fraction.

5 0

4 years ago

Find an equation of the circle that has center (-1,1 ) and passes through (1,-6)

Ivahew [28]

Answer:

$(x+1)^2+(y-1)^2=53$

Step-by-step explanation:

The standard form for the equation of a circle is $(x-h)^2+(y-k)^2=r^2$ , where h is the x coordinate of the center, k is the y coordinate, and r is the radius. To find the radius of this circle, we can simply find the distance from the center to any of the points on its circumference. Using the distance formula, you know that the distance from (-1,1) to (1,-6) is:

$\sqrt{(1-(-1))^2+(1-(-6))^2}=\sqrt{2^2+7^2}=\sqrt{4+49}=\sqrt{53}$

Therefore, the equation of this circle is:

$(x+1)^2+(y-1)^2=53$

Hope this helps!

7 0

3 years ago

Can someone please help me??? Its urgent. 15 Points.

maxonik [38]

Answer:

The measure of arc ABC is 180 + x ⇒ 1st answer

Step-by-step explanation:

Let us revise some notes about the arcs of a circle

The measure of an inscribed angle is half the measure of its subtended arc
The measure of the central angle is equal to the measure of its subtended arc
If two tangents intersect outside a circle then the measure of the angle formed between them is one-half the positive difference of the measures of the intercepted arcs

∵ CD and AD are two tangents to the given circle

∵ They intersected at point D out side the circle

∵ The measure of ∠ADC = x°

- By using the 3rd note above

∵ The intercepted arcs are arc ABC and arc AC

∴ x° = $\frac{1}{2}$ (measure of arc ABC - measure of arc AC)