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Luba_88 [7]
3 years ago
11

Nick and his cousin Sarah have the same birthday but Nick is 4 years older than cigarettes the variables that represents next ag

e and Y represents ears age which graph represents the relationship between Nick and age and Sarah's age
Mathematics
1 answer:
ad-work [718]3 years ago
3 0

x = Nick's age                    y = Sara's age

Nick is 8 years older than Sara, therefore

y = x - 8


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Locate the point on the line segment between A(3, -5) and B(13, -15) given that the point is 4/5 of the way from A to B. Show yo
SVETLANKA909090 [29]

Answer:

C ( 11 , -11 )

Step-by-step explanation:

Solution:-

We are given two points in the cartesian coordinate system as:

                   A ( 3 , -5 )              B ( 13 , -15 )

The point C lies on the line segment from A to B. The ratio of segment given is:

                              AC / AB = 4 / 5

To solve such type of problems. We will use vector equation of line AC.

To form a vector equation of line representing AB. We will first determine the direction vector ( d ) that is parallel to the line AB as follows:

                 d = OB - OA

                 d = < 13 , -15 > - < 3 , -5 >  

                 d = < 10 , -10 >

The fixed point on the line is taken. We will take point A. The vector equation of line from point A to point B is expressed as:

                < x , y > = OA + s*d

                < x , y > = < 3, -5 > + s* < 10 , -10 >  

The above equation satisfies all the points that lies on the line AB. To determine the coordinates of ( C ). We will plug in the appropriate value of parameter ( s ) and evaluate.

So point C is 4/5 th the magnitude of the distance AB from A. Hence, s = 4/5 as follows:

               < x , y > = < 3 , -5 > + ( 4/5 ) * < 10 , -10 >  

               < x , y > = < 3 , -5 > + < 8 , -8 >  

              < x , y > = < 11 , -11 >   ... Answer

8 0
3 years ago
Solutions to 39=4-7v
pishuonlain [190]
V = -5 because you subtract 4 from both sides then divide both sides by -7 and you get -5
4 0
3 years ago
Read 2 more answers
HELP ASAP
astra-53 [7]

Answer:

Step-by-step explanation:

We are given a circle with a partially shaded region. First, we need to determine the area of the whole circle. To do this, we need the measurement of the radius of the circle:

Use the Pythagorean theorem to solve for the other leg of the right triangle inside the circle:

5^2 = 3^2 + x^2

x = 4

The radius is 4 + 1 cm = 5 cm

So the area of the circle is A = pi*r^2

A = 3.14 * (5)^2  

A = 25pi cm^2

To solve for the area of the shaded region:

Ashaded = Acircle - Atriangles

we need to solve for the area of the triangles:

A = 1/2 *b*h

A = 1/2 *6 * 5

A = 15 cm^2

Atriangles = 2 * 15  

Atriangles = 30 cm^2

Ashaded = 25pi - 30

8 0
2 years ago
Find the area of the shape
Gwar [14]

Answer:

3pi

Step-by-step explanation:

First find the area of the entire circle

A = pi r^2

A = pi * 2^2

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We know that this is 3/4 of a circle so multiply the area by the fraction of the circle

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4 0
3 years ago
Read 2 more answers
If each 6 in. On the scale drawing below equals 3 feet, what is the actual area of the shape in square units?
Liono4ka [1.6K]

Answer:

32 ft²

Step-by-step explanation:

Assuming the diagram attached below similar to the one required to complete the question below.

From the diagram,

Actaul Area of a parallelogram (A) = Actual Base(b)× actual heigth(h)

A = bh.......................... Equation 1

From the question,

If each 6 in on the scale drawing equals 3 feet

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base on the scale drawing = 8 in.

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Substitute these values into equation 1

A = 4×8

A = 32 ft²

Hence the actual area of the shape is 32 ft²

4 0
3 years ago
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