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3 years ago

Write an equivalent expression for the following

Mathematics

1 answer:

Llana [10]3 years ago

6 0

Answer:

6x, 2x + 4, 5y + 11

Step-by-step explanation:

x + x + x + 2x + x = 6x

(x + 2) + (x + 2) = 2x + 4

y + y + y + y + 10 + y + 1 = 5y + 11

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Complete the square to transform the expression x2 + 4x + 2 into the form a(x − h)2 + k.

Nina [5.8K]

Answer:

Step-by-step explanation:

y = (x^2 + 4x) + 2

Take 1/2 of the linear term 4/2 = 2 and square that result. 2^2 = 4.

Put it after 4x

y = (x^2 + 4x + 4) +2 Subtract what you put inside the brackets on the outside.

y = (x^2 + 4x + 4) + 2 - 4 Combine the right.

y = (x^2 + 4x + 4) - 2 Express the brackets as a square.

y = (x + 2)^2 - 2

That's your answer

a = 1

h = 2

k = -2

3 0

3 years ago

Elza [17]

To be considered similar triangles, the angles must be the exact same, and the sides must be proportional. The side lengths do not have to be exactly the same, but they must be proportional (like a ratio, suppose one triangle has a side length of 1, and the similar triangle has a side length of 3. The ratio is 1:3, and all sides will follow this ratio.)

5 0

4 years ago

Read 2 more answers

A 10 meter long wire is attached to the top of a flagpole 5√3 meters long. What is the measure of the angle the wire makes with

liberstina [14]

Well there has to be a right angle in there somewhere as the pole must be perpendicular to the ground.

Using the sine rule:
sinA/a = sinB/b where a = 10, A = 90, b = 5√3, B = B
Re-arrange for B, B = arcsin (b(sinA)/a)
B = arcsin(5√3(sin90)/10)
B = 60 degrees.

Answer is C

7 0

4 years ago

A: 5x − 2y = 10

Nuetrik [128]

Answer:

D) Multiply A by -4 and B by 5

Step-by-step explanation:

5x-2y=10

4x+3y=7

----------------

-4(5x-2y)=-4(10)

5(4x+3y)=5(7)

----------------------

-20x+8y=-40

20x+15y=35

---------------------

23y=-5

y=-5/23

5x-2(-5/23)=10

5x+10/23=10

5x=10-10/23

5x=230/23-10/23

5x=220/23

x=(220/23)/5

x=(220/23)(1/5)

x=220/115

x=44/23

7 0

4 years ago

A ladder 3m long leans against a wall. It reaches 2m up the wall. What angle does the ladder make with the ground?

lisabon 2012 [21]

Here. I drew a triangle just for this problem. :) You can find it in attachments.

To find the angle, we must use the sine function. To find the angle, we must know the sine of the angle first. The formula for the angle we are trying to find is:

(Forgot to mention, let the angle = x)

$sinx= \frac{2}{3}$

= $sinx = 0.3333....$

Knowing this, we can now derive that:

$x=sin^{-1}0.3333$

Using our scientific calculators, we find that:

$x=19.47122$ °

Which is our final answer. You may round accordingly.

Thank you, and I hope that helped. :)

7 0

3 years ago