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irina [24]
3 years ago
5

Write the equation in standard form of a circle with center (-7,2), tangent to the y-axis.

Mathematics
1 answer:
DerKrebs [107]3 years ago
6 0

Answer:

(x+7)^{2}+ (y-2)^{2}=49

Step-by-step explanation:

It is given that circle is a tangent to y axis, which tells us that the distance between the centre point and y axis is the radius of the triangle.

Formula for equation of circle with centre (x1,y1) and radius r is

(x-x1)^{2}+ (y-y1)^{2}=r^{2}

In the given case distance between the centre and y axis is 7 units so radius would be 7 and the centre point is (-7,2),

the equation of circle is ,

(x+7)^{2}+ (y-2)^{2}=7^{2}

(x+7)^{2}+ (y-2)^{2}=49

Hence the abow equation is the circle equation.

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Answer:

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Step-by-step explanation:

−4(x+7)−4

Distribute:

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Combine Like Terms:

=−4x+−28+−4

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five and three-tenths times a number plus two and seven-tenths is less than three and three-tenths times a number plus one and s
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The number according to the given statement is x<-0.55.

Given the statement is five and three-tenths times a number plus two and seven-tenths is less than three and three-tenths times a number plus one and six-tenths​.

A mathematical statement is a meaningful component of words that can be true or false. Simply, they are known as a statement.

Let us assume the given number be x.

According to the given statement,

Five and three-tenths of a number means 5.3x.

And two and seven-tenths means 2.7.

So, five and three-tenths times a number plus two and seven-tenths means 5.3x+2.7.                ......(1)

It is also given that three and three-tenths times a number means is 3.3x.      

And one and six-tenths means 1.6.

So, three and three-tenths times a number plus one and six-tenths​ means 3.3x+1.6         .......(2)

Now, we will substitute equation (1) less than equation (2) according to the given statement is

5.3x+2.7<3.3x+1.6

Further, we will subtract 2.7 from both sides, we get

5.3x+2.7-2.7<3.3x+1.6-2.7

5.3x<3.3x-1.1

Now, we will subtract 3.3x from both sides, we get

5.3x-3.3x<3.3x-1.1-3.3x

2x<-1.1

Now, we will divide both sides by 2, we get

2x/2<-1.1/2

x<-0.55

Hence, the number for the given statement "five and three-tenths times a number plus two and seven-tenths is less than three and three-tenths times a number plus one and six-tenths​" is -0.55.

Learn more about the algebraic statement from here brainly.com/question/2689808

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