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4 years ago

Simplify 3/5(10g-5k)-(-3g+2k)

Mathematics

1 answer:

dybincka [34]4 years ago

6 0

Answer:

9g -5k

Step-by-step explanation:

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What is the product of 76 and 6.0 x 10^2 expressed in scientific notation?

Dima020 [189]

Answer:

45.6 x 10^3

Step-by-step explanation:

76 can be expressed as 7.6 x 10^1.

Now, you can multiply the two values together.

7.6 x 6.0 is 45.6.

Then, add the two exponents together:

1 + 2 = 3

45.6 x 10^3

8 0

2 years ago

Find the length of the arc.

Ket [755]

This is the answer in different units
Millimeters-7660.46
Centimeters-766.046
Meters-7.66047
Kilometers- 0.00766046
Inches-301.593
Feet-25.13
Yards- 8.37758

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2 years ago

The sum of an integer and 3 times the next consecutive integer is -21. Find the value of the greater integer.

Anni [7]

Answer: -5

Step-by-step explanation:

i=integer

i+3(i+1)=-21

i+3i+3=-21

4i+3=-21

4i=-24

i=-6

i+1=-6+1=-5

5 0

2 years ago

show that thw roots of the equation (x-a)(x_b)=k^2 are always real if a,b and k are real. Please I really need help with this

VLD [36.1K]

Answer:

see explanation

Step-by-step explanation:

Check the value of the discriminant

Δ = b² - 4ac

• If b² - 4ac > 0 then roots are real

• If b² - 4ac = 0 roots are real and equal

• If b² - 4ac < 0 then roots are not real

given (x - a)(x - b) = k² ( expand factors )

x² - bx - ax - k² = 0 ( in standard form )

x² + x(- a - b) - k² = 0

with a = 1, b = (- a - b), c = -k²

b² - 4ac = (- a - b)² + 4k²

For a, b, k ∈ R then (- a - b)² ≥ 0 and 4k² ≥ 0

Hence roots of the equation are always real for a, b, k ∈ R

8 0

3 years ago

Use the following number line to determine if the expressions are true or false.

Usimov [2.4K]

True cus from point a and b is very low so true slime

6 0

3 years ago