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3 years ago

What should be added to p to get p+q?

Mathematics

1 answer:

lisov135 [29]3 years ago

7 0

Answer:

Step-by-step explanation:

The correct answer is q

Because we have been given the equation p + q already so if we observe the equation carefully we see that if we add the variable q to the variable p we get the answer p + q

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Is the number 3 a rational number?

VikaD [51]

Answer:

Yes.

Step-by-step explanation:

The number 3 is a natural number, and all of these types of numbers are rational.

Another way to look at it is if a number can be written as a fraction, the number is rational.

5 0

3 years ago

Read 2 more answers

0.2x+2.7x−8.1=6.9+1.1x plz help 25 points on the line

ololo11 [35]

Answer:

Step-by-step explanation:

0.2x + 2.7x - 8.1 = 6.9 + 1.1x

0.2x + 2.7x - 1.1x = 6.9 + 8.1

1.8x = 15

x = 15/1.8

x = 8.33

6 0

3 years ago

Triangle ABC has vertices at A(2,3),B(-4,-3) and C(2,-3) find the coordinates of each point of concurrency.

dem82 [27]

Answer:

Circumcenter =(-1,0)

Orthocenter =(2,-3)

Step-by-step explanation:

Given : Points A = (2,3), B = (-4,-3), C = (2,-3)

Formula used :

→Mid point of two points- $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

→Slope of two points - $\frac{y_2-y_1}{x_2-x_1})$

→Perpendicular of a line = $\frac{-1}{slope of line})$

Circumcenter- The point where the perpendicular bisectors of a triangle meets.

Orthocenter-The intersecting point for all the altitudes of the triangle.

To find out the circumcenter we have to solve any two bisector equations.

We solve for line AB and AC

So, mid point of AB = $(\frac{2-4}{2},\frac{3-3}{2})=(-1,0)$

Slope of AB = $\frac{-3-3}{-4-2}=1$

Slope of the bisector is the negative reciprocal of the given slope.

So, the slope of the perpendicular bisector = -1

Equation of AB with slope -1 and the coordinates (-1,0) is,

(y – 0) = -1(x – (-1))

y+x=-1………………(1)

Similarly, for AC

Mid point of AC = $(\frac{2+2}{2},\frac{3-3}{2})=(2,0)$

Slope of AC = $\frac{-3-3}{2-2}=\frac{-6}{0}$

Slope of the bisector is the negative reciprocal of the given slope.

So, the slope of the perpendicular bisector = 0

Equation of AC with slope 0 and the coordinates (2,0) is,

(y – 0) = 0(x – 2)

y=0 ………………(2)

By solving equation (1) and (2),

put y=0 in equation (1)

y+x=-1

0+x=-1

⇒x=-1

So the circumcenter(P)= (-1,0)

To find the orthocenter we solve the intersections of altitudes.

We solve for line AB and BC

So, mid point of AB = $(\frac{2-4}{2},\frac{3-3}{2})=(-1,0)$

Slope of AB = $\frac{-3-3}{-4-2}=1$

Slope of the bisector is the negative reciprocal of the given slope.

So, the slope of CF = -1

Equation of AB with slope -1 and the coordinates (-1,0) gives equation CF

(y – 0) = -1(x – (-1))

y+x=-1………………(3)

Similarly, mid point of BC = $(\frac{-4+2}{2},\frac{-3-3}{2})=(-1,-3)$

Slope of AB = $\frac{-3+3}{-4-2}=0$

Slope of the bisector is the negative reciprocal of the given slope.

So, the slope of AD = 0

Equation of AB with slope 0 and the coordinates (-1,-3) gives equation AD

(y-(-3)) = 0(x – (-1))

y+3=0

y=-3………………(4)

Solve equation (3) and (4),

Put y=-3 in equation (3)

y+x=-1

-3+x=-1

x=2

Therefore, orthocenter(O)= (2,-3)

7 0

3 years ago

Find the mean of the binomial distribution for which n = 60 and p = 0.2. 10)

sergeinik [125]

Gffhudghdhufvhcfgbvd

5 0

3 years ago

Read 2 more answers

Rewrite the function f of x equals 7 times one half to the 3 times x power using the properties of exponents.

Artist 52 [7]

Answer:

f of x equals 7 times one eighth to the x power

Step-by-step explanation:

Given phrase,

function f of x equals 7 times one half to the 3 times x power,

$\implies f(x) = 7(\frac{1}{2})^{3x}$

By the power to power property of exponent,

That is,

$(a^m)^n=a^{m.n}$

$f(x) = 7((\frac{1}{2})^3)^x$

$f(x) = 7(\frac{1}{8})^x$

= f of x equals 7 times one eighth to the x power

8 0

3 years ago

What should be added to p to get p+q?​

What should be added to p to get p+q?