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3 years ago

Find the value of 423 using the identity (x + y)3 = x3 + 3x2y + 3xy2 + y3

Mathematics

1 answer:

finlep [7]3 years ago

8 0

Hint: 423 = (40 + 2)3; therefore, x = 40 and y = 2.

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damita uses the pythagorean theorem to write the equation 2k² = j² to represent the triangle shown. Is she correct? Explain.

Rudiy27

Answer:

Yes, She is correct.

Step-by-step explanation:

Pythagorean theorem:

base² + altitude² = hypotenuse²

k² + k² = j²

Add the like terms. Like terms have same variable with same power.

2k² = j²

4 0

3 years ago

Please help!!!!!!!!!!!!!!!!!!

vlabodo [156]

Answer:

57°

Step-by-step explanation:

The sum of both angles is 90°

3x+5x+2=90

8x+2=90

8x=88

x=11

Plug x into the equation

Larger Angle

5(11)+2=57

Smaller Angle

3(11)=33

4 0

3 years ago

Read 2 more answers

Find the area of triangle ABC with vertices A(2,1), B (12,2), C (12,8). Hence, or otherwise find the perpendicular distance from

Lapatulllka [165]

<h2>The area of a triangle is =54 square units</h2><h2>The perpendicular distance from B to AC is = $\frac{108}{\sqrt{149} } units$ </h2>

Step-by-step explanation:

Given a triangle ABC with vertices A(2,1),B(12,2) and C(12,8)

$x_1=2,y_1=1,x_2=12,y_2=2,x_3=12 and y_3=8$

The area of a triangle is= $\frac{1}{2} [x_1(y_2-y_3) +x_2 (y_3- y_1)+x_3(y_1-y_2)]$

= $|\frac{1}{2} [2(2-8+12(8-1)+12(1-2)]|$

= $|-54|$ = 54 square units

The length of AC = $\sqrt{(x_1-x_3)^{2} +(y_1-y_3)^2}$

= $\sqrt{(2-12)^{2} +(1-8)^2}$

= $\sqrt{149}$ units

Let the perpendicular distance from B to AC be = x

According To Problem

$\frac{1}{2} \times x \times \sqrt{149} = 54$

⇔ $x =\frac{108}{\sqrt{149} }$ units

Therefore the perpendicular distance from B to AC is = $\frac{108}{\sqrt{149} } units$

5 0

3 years ago

The table below shows the distance Chris is located from his school at different times. Time (minutes) Distance (miles) 0 20 3 1

telo118 [61]

Answer:

20 minutes

Step-by-step explanation:

x is 0 in the graph and y is 20

so 20 is your answer if 0 is x

3 0

3 years ago

Match each set of values to its correct median

NikAS [45]

Answer

Red is 6

Orange is 4

Purple is 3

Green and Turquoise are both 2

Step-by-step explanation:

Hope this was helpful!!

4 0

3 years ago

Read 2 more answers