Now I need help with this one problem I hope it's not too confusing.

Find the length of QP given Q is the midpoint of XF, PQ =2X+1, XF=7X-4, PF=X

nadezda [96]

Answer:

Therefore the length of QP = 3.4 units

Step-by-step explanation:

Given:

PQ = 2x + 1

XF = 7x - 4

PF = x

Q is the mid poimt of XF

∴ XQ = QF

QF = PQ - PF ..........( Q - F - P )

= 2x + 1 - x

∴ QF = x + 1

∴ XQ = QF = x + 1

TO Find:

QP = ?

Solution:

By Addition Property we have

$XP = XQ + QF+PF ..........(X-Q-F-P)\\\\$

$XF + PF =XQ + QF+PF ..........(X-Q-F-P)\\$

Substituting the given values in above equation we get

(7x - 4) + x = (x +1) + (x +1) + x

8x -4 = 3x +2

8x - 3x + 4 + 2

5x = 6

∴ $x = \frac{6}{5}$

Now we require

QP = (2x + 1)

∴ $QP = 2\times \frac{6}{5} +1\\\\QP = \frac{12+5}{5} \\\\QP =\frac{17}{5} \\\\\therefore QP = 3.4\ unit$

Therefore the length of QP = 3.4 units

3 0

3 years ago

Find the measure of angle x in the figure below:

Crank

Answer:

70 degrees

Step-by-step explanation:

Because an area of a triangle is 180.

55 + 55 = 110 180 - 110 = 70

110 + 70 = 180

8 0

3 years ago

Read 2 more answers

what is the quotient when x3 − 5x2 2x 5 is divided by x − 2? x2 − 3x − 4 x2 − 7x 16 x2 − 3x − 4 − 3 over the quantity of x minus

nekit [7.7K]

The correct answer is: 
x²-3x-4 - $\frac{3}{x-2}$ .

Explanation: 
To divide these polynomials, the dividend, x³-5x²+2x+5, goes under the box, and the divisor, x-2, goes outside of the box.

We first want to find what we multiply x by to make x³; x*x²=x³, so we write x² over -5x² in the box.

Now we multiply our divisor, x-2, by x²: 
x*x²=x³
-2*x²=-2x².

This goes under x³-5x² in the box.

Now we subtract: 
(x³-5x²)-(x³-2x²)=-3x².

This goes below the 2x² we wrote, and we bring down 2x.

Now we see what we multiply x by to make -3x²;
x*-3x=-3x², so we write -3x beside x² in the quotient (at the top).

We multiply our divisor, x-2, by -3x: 
x*-3x=-3x²
-2*-3x=6x.

We write -3x²+6x under our -3x²+2x and subtract:
(-3x²+2x)-(-3x²+6x)=-4x.

Write this below 6x. Bring down +5.

Now we see what we multiply x by to make -4x;
x*-4=-4x, so write -4 beside -3x in the quotient.

Multiply our divisor, x-2, by -4: 
x*-4=-4x;
-2*-4=8;

write -4x+8 below -4x+5 and subtract:
(-4x+5)-(-4x+8)=-3.

This gives us the quotient x²-3x-4 with a remainder of -3, so we write our full answer as x²-3x-4-(3/x-2).

3 0

3 years ago

Read 2 more answers

What is the equation of the line that passes through the pont (6,2) and has a of -2/3

ss7ja [257]

Answer: y

=

−

2

3

x

+

2

Explanation:

Given that we have the slope and a point on the graph we can use the point slope formula to find the equation of the line.

Point-Slope Formula:

y

−

y

1

=

m

(

x

−

x

1

)

, where

m

is the slope of the line and

x

1

and

y

1

are x and y coordinates of a given point.

We can summarize the information already given:

m

=

−

2

3

x

1

=

6

y

1

=

−

2

Using this information, we can substitute these values onto the point-slope formula:

y

−

(

−

2

)

=

−

2

3

(

x

−

(

6

)

y

+

2

=

−

2

3

(

x

−

6

)

The equation above is the equation of the line in point-slope form. If we wanted to have the equation in

y

=

m

x

+

b

form then we simply solve the equation above for

y

+

2

=

−

2

3

x

+

12

3

y

+

2

−

2

=

−

2

3

x

+

12

3

−

2

y

=

−

2

3

x

+

12

3

−

2

(

3

)

y

=

−

2

3

x

+

12

3

−

6

3

y

=

−

2

3

x

+

6

3

y

=

−

2

3

x

+

2y

=

−

2

3

x

+

2

Explanation:

Given that we have the slope and a point on the graph we can use the point slope formula to find the equation of the line.

Point-Slope Formula:

y

−

y

1

=

m

(

x

−

x

1

)

, where

m

is the slope of the line and

x

1

and

y

1

are x and y coordinates of a given point.

We can summarize the information already given:

m

=

−

2

3

x

1

=

6

y

1

=

−

2

Using this information, we can substitute these values onto the point-slope formula:

y

−

(

−

2

)

=

−

2

3

(

x

−

(

6

)

y

+

2

=

−

2

3

(

x

−

6

)

The equation above is the equation of the line in point-slope form. If we wanted to have the equation in

y

=

m

x

+

b

form then we simply solve the equation above for

y

+

2

=

−

2

3

x

+

12

3

y

+

2

−

2

=

−

2

3

x

+

12

3

−

2

y

=

−

2

3

x

+

12

3

−

2

(

3

)

y

=

−

2

3

x

+

12

3

−

6

3

y

=

−

2

3

x

+

6

3

y

=

−

2

3

x

+

2

Step-by-step explanation:

8 0

3 years ago

A recent survey found that 30% of telephone users have switched completely to cell phone use (i.e. they do not have landlines in

Lilit [14]

Answer:

it cannot be considered unusual if there was 1 telephone user in this sample without a landline

Step-by-step explanation:

Given that a recent survey found that 30% of telephone users have switched completely to cell phone use (i.e. they do not have landlines in their homes)

Each telephone user is independent of the other and hence prob for switching to cell phone has constant probability 0.30

X the no of customers who switch to cell phones from the sample of 10 is

Binomial with n =10 and p = 0.30

Prob (x=1) = Prob there was 1 telephone user in this sample without a landline

= $10C1 (0.3)^1 (0.7)^9\\= 0.1211$

This is not very near to 0.

Hence this is not a rare event.

So it cannot be considered unusual if there was 1 telephone user in this sample without a landline

7 0

3 years ago