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3 years ago

Please expand (X+3)^4

Mathematics

2 answers:

Marta_Voda [28]3 years ago

4 0

(x+3)(x+3)(x+3)(x+3)

Sliva [168]3 years ago

4 0

That would be (x+3) (x+3) (x+3) (x+3)

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Pls help will mark brainliest!!!!!!

Zina [86]

A. figure ABCD is similar to figure A'B'C'D'

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3 years ago

Read 2 more answers

Find the measure of the the sides of DEF then classify it by it sides. <br> D(8,-6) E(-1,-3) F(-2,5)

Mama L [17]

Answer:

Part a) The measure of the sides of triangle DEF are

$d_D_E=\sqrt{90}\ units$

$d_E_F=\sqrt{65}\ units$

$d_D_F=\sqrt{221}\ units$

Part b) Is a scalene triangle

Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have the coordinates

D(8,-6) E(-1,-3) F(-2,5)

step 1

Find the length side DE

D(8,-6) E(-1,-3)

substitute in the formula

$d=\sqrt{(-3+6)^{2}+(-1-8)^{2}}$

$d=\sqrt{(3)^{2}+(9)^{2}}$

$d_D_E=\sqrt{90}\ units$

step 2

Find the length side EF

E(-1,-3) F(-2,5)

substitute in the formula

$d=\sqrt{(5+3)^{2}+(-2+1)^{2}}$

$d=\sqrt{(8)^{2}+(-1)^{2}}$

$d_E_F=\sqrt{65}\ units$

step 3

Find the length side DF

D(8,-6) F(-2,5)

substitute in the formula

$d=\sqrt{(5+6)^{2}+(-2-8)^{2}}$

$d=\sqrt{(11)^{2}+(-10)^{2}}$

$d_D_F=\sqrt{221}\ units$

step 4

Classify the triangle by the measure of its sides

we have

$d_D_E=\sqrt{90}\ units$

$d_E_F=\sqrt{65}\ units$

$d_D_F=\sqrt{221}\ units$

Is a scalene triangle, because is a triangle in which all three sides have different lengths.

6 0

3 years ago

Find the solution of this system of equations. Separate the x- and y-values with a comma. x - 4y = 12 and x - y = 0

Elenna [48]

Use elimination and subtitution method to solve the problem.
First, eliminate x and you'll find the value of y
x - 4y = 12
x - y = 0
--------------- - (substract)
-3y = 12
y = 12/-3
y = -4

Second, subtitute -4 as y and you'll find the value of x
x - y = 0
x- (-4) = 0
x + 4 = 0
x = -4

The solution
x,y = -4,-4

6 0

3 years ago

A set of average city temperatures in May are normally distributed with a mean of 20.66 ^\circ \text{C}20.66

Angelina_Jolie [31]

Answer:

0.9962

Step-by-step explanation:

The z score shows the number of standard deviations by which the raw score is above or below the mean. If the raw score is above the mean then the z score is positive but if the raw score is less than the mean then the raw score is negative. The z score is given by:

$z=\frac{x-\mu}{\sigma}\\ \\\mu=mean,\sigma=standard\ deviation, x=raw\ score$

μ = 20.66°C, σ = 2°C

For x < Singapore temperature, i.e. x < 26

$z=\frac{x-\mu}{\sigma} =\frac{26-20.66}{2}=2.67$

From the normal distribution table P(x < 26) = P(z < 2.67) = 0.9962

4 0

3 years ago

Find the missing side lengths. Leave your answer as radicals in simplest form.

Ronch [10]

Answer:

Hence x = y = 2

Step-by-step explanation:

Using the SOH CAH TOA identity

Hypotenuse = 2√2

Opposite = x

theta = 45

Sin theta = opp/hyp

Sin 45 =x/2√2

1/√2 = x/2√2

x = 2√2 * 1/√2

x = 2

To get y we will use the pythagoras theorem;

(2√2)² = x² +y²

(2√2)² = 2²+y²

8 = 4 + y²

y² = 8-4

y² = 4

y = √4

y = 2

Hence x = y = 2

7 0

3 years ago