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3 years ago

Which property explains why these expressions are equal? 5(g + h) = 5g + 5h

Mathematics

2 answers:

zepelin [54]3 years ago

4 0

Answer:

distributive

Step-by-step explanation:

VladimirAG [237]3 years ago

3 0

Answer: distrubitive

Step-by-step explanation:

You might be interested in

Write each sum using summation notation 12 + 22 + 32 + 42 + ⋯ + 10000^2

Murljashka [212]

Answer:

50,00,70,000

Step-by-step explanation:

The given sequence is Arithmetic Progression.

Arithmetic Progression is a sequence in which every two neighbor digits have equal distances.

Here first we will find the number of terms

For finding the nth term, we use formula

aₙ = a + (n - 1) d

where, aₙ = value of nth term

a = First term

n = number of term

d = difference

Now, In given sequence: 12, 22, 32, 42, ⋯ , 100002

a = 12, d = 10, n = ? and aₙ= 100002

∴ 100002 = 12 + (n - 1) × (10)

⇒ 99990 = 10(n - 1)

⇒ n = 10000

Now using the formula of Sum of Arithmetic Sequence,

Sₙ = n÷2[2a + (n - 1)d]

⇒ Sₙ = (10000÷2)[2 × 12 + 9999 × 10]

⇒ Sₙ = 5000 [ 24 + 99990]

⇒ Sₙ = 5000 × 100014 = 50,00,70,000

5 0

3 years ago

There are 80 pupils in a school. If 32 are boys, what percentage are boys?

maks197457 [2]

Answer:

40%

Step-by-step explanation:

32/80=.4

8 0

2 years ago

Read 2 more answers

How do you solve this?

DiKsa [7]

Triangles ABC and LBM are similar. We know this because AL and LB have the same length, so that AB is twice as long as either AL or LB. The same goes for MC and BM, and BC. The angle B is the same for both tirangles ABC and LBM, so the side-angle-side postulate tells us the triangles are similar, and in particular that triangle ABC is twice as large as LBM.

All this to say that LM must be half as long as AC, so LM has length (B) 14 cm.

3 0

2 years ago

Identify the properties of the given quadratic.

Komok [63]

Answer:

see explanation

Step-by-step explanation:

A quadratic function in standard form is

y = ax² + bx + c (a ≠ 0 )

Given

y = - 3x² + 6x + 17 ← compare coefficients with standard form, then

a = - 3, b = 6, c = 17

Given the quadratic in standard form the the equation of the axis of symmetry is

x = - $\frac{b}{2a}$ = - $\frac{6}{-6}$ = 1

Equation of axis of symmetry is x = 1

4 0

3 years ago

I need help with this 10 points Pls pls pls someone come help me

Vikki [24]

Answer:

angle b is 62 degrees. This is because if we solve for x, by putting the 2 equations equal to each other(because they are vertical angles), than we figure out that x=6. Now plug that into angle b's equation, and you get 62 degrees.

Step-by-step explanation:

7 0

3 years ago