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2 years ago

Solve by square roots 4x^2+11= 59

Mathematics

2 answers:

AnnyKZ [126]2 years ago

6 0

Subtract 11 from each side

4x^2+11-11= 59-11

4x^2 = 48

Divide by 4

4/4x^2 = 48/4

x^2 = 12

Take the square root of each side

sqrt(x^2) = sqrt(12)

x = ±sqrt(4 x 3)

baherus [9]2 years ago

3 0

Answer:

x= ±2 sqrt(3)

Step-by-step explanation:

4x^2+11= 59

Subtract 11 from each side

4x^2+11-11= 59-11

4x^2 = 48

Divide by 4

4/4x^2 = 48/4

x^2 = 12

Take the square root of each side

sqrt(x^2) = sqrt(12)

x = ±sqrt(4*3)

x= ±2 sqrt(3)

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tia_tia [17]

Answer:

$8-6i$

Step-by-step explanation:

Multiply out $(3-i)^2$ in order to find out which expression it is equivalent to.

1) Since the whole quantity is squared, write it out as $(3-i)(3-i)$ .

$(3-i)^2\\(3-i)(3-i)$

2) Multiply binomials by using the FOIL method. Multiply the terms that are listed first in each binomial, then the ones that are listed outermost when looking at both binomials, then innermost, and finally the last terms listed in each binomial. Simplify and combine like terms.

$(3-i)(3-i)\\9 - 3i - 3i + i^2$

$9 - 6i + i^2$

3) $i = \sqrt{-1}$ , so $i ^2$ must be $(\sqrt{-1} )(\sqrt{-1})$ . Thus, $i^2$ is equivalent to -1. Knowing this, simplify and combine like terms.

$9 - 6i + ((-\sqrt{1} )(\sqrt{-1} ))$

$9 - 6i -1\\8 - 6i$

Thus, it is equivalent to $8 - 6i$ .

6 0

3 years ago

An ice cream shop sells 6 different flavors, 4 toppings, and 3 types of cones. How many different combinations of two different

Bas_tet [7]

Answer:

360 combinations

Step-by-step explanation:

To calculate the number of different combinations of 2 different flavors, 1 topping, and 1 cone, we are going to use the rule of multiplication as:

6 * 5 * 4 * 3 = 360

1st flavor 2nd flavor topping cone

Because first, we have 6 possible options for the flavor, then we only have 5 possible options for the 2nd flavor. Then, we have 4 options for the topping and finally, we have 3 options for the cone.

It means that there are 360 different combinations of two different flavors, one topping, and one cone are possible

6 0

2 years ago

WILL MARK BRAINLIEST! What is the value of d?

liubo4ka [24]

Answer:

Step-by-step explanation:

The square indicates that the total angle is 90 degrees so

d+59=90

d=90-59

d=31 degrees

4 0

2 years ago

Read 2 more answers

PLEASE HELP ME I HATE MATH.

dsp73

Answer:

BBBBBBBBBB

Step-by-step explanation:

1/4 mile per 22.5 seconds

7 0

2 years ago

Find difference 7 7/8-3 1/4

umka2103 [35]

So first convert to improper fractions
7 and 7/8=7+7/8=56/8+7/8=63/8

3 and 1/4=3+1/4=12/4+1/4=13/4

so nowe we have
63/8+13/4
convert bottom number to same
which is 8
13/4 times 2/2=26/8
now we have
63/8-26/8=37/8=4 and 5/8
answer is 4 and 5/8

8 0

2 years ago