10 cm 10 cm 30 cm. 14.1 cm

100 points need answer asap!! The diameter of Circle Q terminates on the circumference of the circle at (3,0) and (-4,0). Write

Colt1911 [192]

Answer:

$4(x+0.5)^2+4y^2=49$

Step-by-step explanation:

Since the diameter of Circle Q terminates on the circumference of the circle at (3,0) and (-4,0), the diameter lies on the x-axis.

The midpoint of the ends of the diameter gives the center of the circle.

$(\frac{3+-4}{2},\frac{0+0}{2} =(\frac{-1}{2},\frac{0}{2})=(-0.5,0)$

The radius of this circle is the distance from the center to one of this points on the circumference.

$r=|3-0.5|=3.5$

The equation of the circle is given by $(x-a)^2+(x-b)^2=r^2$

where (a,b)=(-0.5,0) is the center and r=3.5

We substitute to get:

$(x--0.5)^2+(y-0)^2=3.5^2$

The standard form equation is $4(x+0.5)^2+4y^2=49$

6 0

3 years ago

In angle XYZ, m/_ y=80, XY= 14, and XZ=17. to the nearest tenth, what is m/_ z

valkas [14]

Answer:

Using Sine rule we found the measure of ∠ $Z=54.2$ °.

Step-by-step explanation:

Diagram of the given condition shown below.

Given that,

In Triangle Δ $XYZ$ ,

∠ $Y = 80$ ° , $XY = 14, & \ XZ=17$ .

To find :- What is the measure of ∠ $Z$ .

So,

Using Sine rule :- sine rule relates the sine of each angle to length of opposite side.

$\frac{Sin A}{a} = \frac{SinB}{b} = \frac{SinC}{c}$

Where, $A,B,C$ are angles of triangle Δ $ABC.$

$a,b,c$ are side length of triangle.

Then,

$\frac{Sin80}{17} = \frac{SinZ}{14}$

Using cross multiplication:-

⇒ $SinZ \times 17 = Sin80 \times 14$

⇒ $SinZ=\frac{Sin80\times14}{17}$

⇒ $SinZ= 0.8110$

⇒ ∠ $Z=Sin^{-1}(0.8110)$

⇒ ∠ $Z=54.2$ °

Hence,

Using Sine rule we found the measure of ∠ $Z=54.2$ °.

4 0

3 years ago

Darcy and Harper work for different catering companies. Darcy earns a weekly salary of $982 and an 18% commission on her food

PilotLPTM [1.2K]

Answer:

$2500

Step-by-step explanation:

Given that:

Darcy's weekly earning = $982 plus 18% commission on food sales

Harper's weekly earning = $807 plus 25% commision

amount of food sales will result in Darcy and Harper earning the same amount for the week

Let amount of food sales = f

Darcy's earning = Harper's earning

(982 + 18%*f) = (807 + 25% * f)

(982 + 0.18f) = (807 + 0.25f)

982 + 0.18f = 807 + 0.25f

982 - 807 = 0.25f - 0.18f

175 = 0.07f

f = 175 / 0.07

f = 2500

Hence amount of food sales that will result in both Darcy and Harper earning the same amount = $2500

8 0

3 years ago

Indicate in standard form the equation of the line passing through the given points. R(3, 3), S(-6, -6)

Vsevolod [243]

The slope of this line is:

3-(-6)

m = ------------ = 1

3-(-3)

and so, using the point-slope formula for the equation of a str. line,

y-3 = 1(x-3), or y-3 = x - 3, or 1x - 3 - y + 3 = 0. Then 1x - 1y = 0 (in standard form). Alternatively, y = x (slope-intercept form).

4 0

4 years ago

Suppose Q-Mart plans to obtain information on a randomly selected sample of customers using each type of charge card, using equa

lesya [120]

Answer:

Independent

Step-by-step explanation:

Paired: Two different variable observed on same group at different points in time. Here a randomly selected samples is observed for type of change card.

Independent: A single variable observed on multiple groups.

6 0

3 years ago

10 cm 10 cm 30 cm. 14.1 cm​

10 cm 10 cm 30 cm. 14.1 cm