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3 years ago

If point C is between points A and B, then ___ + CB = AB. A. ABC B. AB C. CA D. BC

Mathematics

2 answers:

yanalaym [24]3 years ago

4 0

Points A and B are the end points and C is somewhere between them.

In order to find the total length of AB, you would add CA and CB together.

The answer would be C. CA

lozanna [386]3 years ago

3 0

Here we are given that C is between A and B.

So using the midpoint rule, sum of whole length AB will be addition of lengths AC and BC

so we can say that option C. CA is the correct choice as it satisfies the given condition.

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Given: -3(2x + 7) = -29 – 4x; Prove: x = 4

sergey [27]

Answer:

See steps below

Step-by-step explanation:

-3(2x+7)=-29-4x

Use the distributive property

-6x-21=-29-4x

Add 21 to each side

-6x=-8-4x

Add 4x to both sides

-2x=-8

Divide by -2

x=4

8 0

3 years ago

Helpp me please!!!!!!

Alexeev081 [22]

Answer:

a. Inscribed angle = <WXY

b. Minor arc = arc(XY)

c. VWX

d. m(VWX) = 180°

e. m<VUW = 110°

Step-by-step explanation:

a. The angle, <WXY has its vertex on the circumference of the circle. Therefore, it can be referred to as an inscribed angle of the circle with center U.

Inscribed angle = <WXY

b. Arc(XY) is a minor arc because it is smaller than half of circle with center U.

Minor arc = arc(XY)

c. A semicircle is half of a full rotation for a circle. From the diagram, a semicircle is VWX

d. m(VWX) = Half the rotation of a full circle = 180°

e. m<VUW = arc(VW) (measure of central angle = measure of arc)

m<VUW = 110° (Substitution)

3 0

3 years ago

Please help me please help i will give up vote and 5 star please and follow

Afina-wow [57]

Answer:

C. y = 4x, table B, graph A

Step-by-step explanation:

Charges = $4 per hour (this is the slope, m,)

m = 4

The equation can be represented in the form of y = mx

Where,

m = slope = 4

Substitute m = 4 into y = mx

Thus:

y = 4x

✔️The table that represents the equation y = 4x showing that for 1 hour, the charges is $4 is table B (x = 1, y = 4).

Table B represents the parking cost.

✔️The equation with a slope of 4 is the equation that represents the parking cost. Thus, in graph A, when x = 1 (hour), y = 4 (cost).

Therefore, graph A is the answer.

3 0

3 years ago

Find the volume v of the described solid s. the base of s is an elliptical region with boundary curve 4x2 + 9y2 = 36. cross-sect

Tasya [4]

$4x^2+9y^2=36\iff\dfrac{x^2}9+\dfrac{y^2}4=1$

defines an ellipse centered at $(0,0)$ with semi-major axis length 3 and semi-minor axis length 2. The semi-major axis lies on the $x$ -axis. So if cross sections are taken perpendicular to the $x$ -axis, any such triangular section will have a base that is determined by the vertical distance between the lower and upper halves of the ellipse. That is, any cross section taken at $x=x_0$ will have a base of length

$\dfrac{x^2}9+\dfrac{y^2}4=1\implies y=\pm\dfrac23\sqrt{9-x^2}$
$\implies \text{base}=\dfrac23\sqrt{9-{x_0}^2}-\left(-\dfrac23\sqrt{9-{x_0}^2}\right)=\dfrac43\sqrt{9-{x_0}^2}$

I've attached a graphic of what a sample section would look like.

Any such isosceles triangle will have a hypotenuse that occurs in a $\sqrt2:1$ ratio with either of the remaining legs. So if the hypotenuse is $\dfrac43\sqrt{9-{x_0}^2}$ , then either leg will have length $\dfrac4{3\sqrt2}\sqrt{9-{x_0}^2}$ .

Now the legs form a similar triangle with the height of the triangle, where the legs of the larger triangle section are the hypotenuses and the height is one of the legs. This means the height of the triangular section is $\dfrac4{3(\sqrt2)^2}\sqrt{9-{x_0}^2}=\dfrac23\sqrt{9-{x_0}^2}$ .

Finally, $x_0$ can be chosen from any value in $-3\le x_0\le3$ . We're now ready to set up the integral to find the volume of the solid. The volume is the sum of the infinitely many triangular sections' areas, which are

$\dfrac12\left(\dfrac43\sqrt{9-{x_0}^2}\right)\left(\dfrac23\sqrt{9-{x_0}^2}\right)=\dfrac49(9-{x_0}^2)$

and so the volume would be

$\displaystyle\int_{x=-3}^{x=3}\frac49(9-x^2)\,\mathrm dx$
$=\left(4x-\dfrac4{27}x^3\right)\bigg|_{x=-3}^{x=3}$
$=16$