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3 years ago

8x-4[2x-5(3x+1)]-2[x-(x-1)] I hate math

Mathematics

1 answer:

True [87]3 years ago

7 0

Answer:

60x + 18

Step-by-step explanation:

8x - 4 [2x - 5 ( 3x + 1 )] - 2 [x - (x - 1)]

distribute

8x - 4 [2x - 15x - 5] - 2 [x - x + 1]

combine like-terms

8x - 4 [- 13x - 5] - 2 [1]

distribute again

8x + 52x + 20 - 2

combine like-terms again

60x +18

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In the figure above line m is parallel to line n.

enot [183]

Given:

Line m is parallel to line n.

The measure of ∠1 is (4x + 15)°

The measure of ∠2 is (9x + 35)°

We need to determine the measure of ∠1

Value of x:

From the figure, it is obvious that ∠1 and ∠2 are linear pairs.

Thus, we have;

$\angle 1+\angle 2=180^{\circ}$

Substituting the measures of ∠1 and ∠2, we get;

$4x+15+9x+35=180$

$13x+50=180$

$13x=130$

$x=10$

Thus, the value of x is 10.

Measure of ∠1:

The measure of ∠1 can be determined by substituting x = 10 in the measure of ∠1

Thus, we have;

$\angle 1 =4(10)+15$

$=40+15$

$\angle 1=55^{\circ}$

Thus, the measure of ∠1 is 55°

7 0

3 years ago

ALGEBRA II HELP :/

elena-14-01-66 [18.8K]

Answer:

Step-by-step explanation:

f(x) = x³+4x²-8x-6

P(a) <=> P(x)

-2 | 1 4 -8 -6

| -2 -4 24

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

1 2 -12 18

4 0

3 years ago

You roll 4 fair, distinguishable, six-sided dice. What is the probability of rolling :______

Vikentia [17]

Answer:

a)0.25

b)0.375

Step-by-step explanation:

Possible outcomes when dice are rolled : 1 ,2 ,3,4,5 ,6

Even= 2,4,6

Odd = 1 ,3 , 5

Probability of getting even = $\frac{3}{6}=\frac{1}{2}$

Probability of getting odd = $\frac{3}{6}=\frac{1}{2}$

4 dices are rolled together

a)P(3 even and 1 odd numbers)

P(3 even and 1 odd numbers)= $^4C_3 (\frac{1}{2})^3 (\frac{1}{2})^1$

P(3 even and 1 odd numbers)= $\frac{4!}{3!1!} (\frac{1}{2})^3 (\frac{1}{2})^1 =0.25$

b)P(2 even and 2 odd numbers)

P(2 even and 2 odd numbers)= $^4C_2 (\frac{1}{2})^2 (\frac{1}{2})^2$

P(3 even and 1 odd numbers)= $\frac{4!}{2!2!} (\frac{1}{2})^2 (\frac{1}{2})^2$ =0.375

6 0

3 years ago

The equations -6x + 3y = 6 and x² + y = 10 intersect at the

eimsori [14]

The values of the letters in coordinates (a, b) and (c,d) are;

a = -4

b = -6

c = 2

d = 6

We are given two equations;

-6x + 3y = 6 ---(eq 1)

x² + y = 10 ---(eq 2)

We are told that they intersect at coordinates; (a, b) and (c, d).

Let us make y the subject in eq 2 to get;

y = 10 - x² --(eq 3)

Let us put 10 - x² into eq 1 to get;

-6x + 3(10 - x²) = 6

expanding further gives;

-6x + 30 - 3x² = 6

rearranging gives;

3x² + 6x - 24 = 0

Using online quadratic equation solver, we have;

x = -4 and x = 2

Putting x = -4 into eq 3 gives;

y = 10 - (-4)²

y = 10 - 16

y = -6

Putting x = 2 into eq 3 gives;

y = 10 - (2)²

y = 10 - 4

y = 6

Thus, the coordinates are; (-4, -6) and (2, 6)

Comparing with (a, b) and (c,d), we have;

a = -4

b = -6

c = 2

d = 6

Read more at; brainly.com/question/15165519

5 0

3 years ago

line k has a slop of -5. Line J is perpendicular to line K and passes through the point (5,9). Create the equation for line j.

sveticcg [70]

Answer:

The equation of the line would be y = 1/5x + 8

Step-by-step explanation:

Since the slope of k is -5, the slope of j has to be 1/5. This is because perpendicular lines have opposite and reciprocal slopes.

Now we can use the slope and the point in point-slope form to get the equation.

y - y1 = m(x - x1)

y - 9 = 1/5(x - 5)

y - 9 = 1/5x - 1

y = 1/5x + 8

6 0

3 years ago