10 points + brainliest... IF you can tell me if I'm right or wrong! (no explanation needed but the person with most explanation will get brianleist)

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

The given line passes through the points (-4, -3) and (4, 1).

What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (-4, 3)?

a) y - 3 = -2(x + 4)

b) y - 3= - (x + 4)

c) y - 3 = (x + 4)

d) y - 3 = 2(x + 4)

Answer:

The equation of the line that is perpendicular to the given line and passes through the point (-4, 3) is

a) y - 3 = -2(x +4)

Step-by-step explanation:

First of all, we will find the slope of the given line.

We are given that the line passes through the points (-4, -3) and (4, 1)

[tex](x_1, y_1) = (-4,-3) \\\\(x_2, y_2) = (4,1) \\\\[/tex]

The slope of the equation is given by

[tex]$ m_1 = \frac{y_2 - y_1 }{x_2 - x_1} $[/tex]

[tex]m_1 = \frac{1 -(-3) }{4 -(-4)} \\\\m_1 = \frac{1 + 3 }{4 + 4} \\\\m_1 = \frac{4 }{8} \\\\m_1 = \frac{1 }{2} \\\\[/tex]

Recall that the slopes of two perpendicular lines are negative reciprocals of each other.

[tex]$ m_2 = - \frac{1}{m_1} $[/tex]

So the slope of the other line is

[tex]m_2 = - 2[/tex]

Now we can find the equation of the line that is perpendicular to the given line and passes through the point (-4, 3)

The point-slope form is given by,

[tex]y - y_1 = m(x -x_1)[/tex]

Substitute the value of slope and the given point

[tex]y - 3 = -2(x -(-4) \\\\y - 3 = -2(x +4)[/tex]

Therefore, the correct option is (a)

y - 3 = -2(x + 4)

The equation of the line in point-slope form is y - 3 = -2(x + 4)

A linear equation is in the form:

y = mx + b

Where y,x are variables, m is the rate of change and b is the y intercept.

The line passes through the point (-4, -3) and (4, 1). Hence:

Slope = (1 - (-3)) / (4 - (-4)) = 1/2

The slope of the line perpendicular to this line is -2 (-2 *  1/2 = -1).

The line passes through (-4, 3), hence:

y - 3 = -2(x - (-4))

y - 3 = -2(x + 4)

The equation of the line in point-slope form is y - 3 = -2(x + 4)

Find out more on linear equation at: https://brainly.com/question/14323743

Answer:

Option (D)

Step-by-step explanation:

Zero of any function is defined by the x-value of the function when y = 0.

Let the equation of the line given in the graph is,

y = mx + b

where m = slope of the line

b = y-intercept of the line

Slope of a line passing through [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is defined by the formula,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

If the passes through (0, -3) and (-2, 0)

m = [tex]\frac{-3-0}{0+2}[/tex]

m = [tex]-\frac{3}{2}[/tex]

Fro the graph,

y-intercept 'b' = -3

Therefore, equation of the line is,

[tex]y=-\frac{3}{2}x-3[/tex]

For y = 0,

[tex]0=-\frac{3}{2}x-3[/tex]

[tex]\frac{3}{2}x=-3[/tex]

x = -2

Therefore, option (D) will be the answer.

Answer:

d- -2

Step-by-step explanation:

Answer:

74w+10

Step-by-step explanation:

That's the answer

Answer:   (-5, 5)

Step-by-step explanation:

J = (-3, 1)    K = (-8, 11)          ratio 2 : 3    --> 2 + 3  = 5 segments

x-distance from J to K: -8 - (-3) = -5 units

y-distance from J to K: 11 - 1 = 10 units

Divide those distance into 5 segments:

x = -5/5  = -1 unit per segment

y = 10/5 = 2 units per segment

The partition is 2 segments from J:

x = -3 +2(-1)  = -5

y = 1 + 2(2)   = 5

The partition is located at (-5, 5)

Answer:

5

Step-by-step explanation:

Answer:

0.078

Step-by-step explanation:

The probability P(A) of an event A happening is given by;

P(A) = [tex]\frac{number-of-possible-outcomes-of-event-A}{total-number-of-sample-space}[/tex]

From the question;

There are two events;

(i) Drawing a first card which is a king: Let the event be X. The probability is given by;

P(X) = [tex]\frac{number-of-possible-outcomes-of-event-X}{total-number-of-sample-space}[/tex]

Since there are 4 king cards in the pack, the number of possible outcomes of event X = 4.

Also, the total number of sample space = 52, since there are 52 cards in total.

P(X) = [tex]\frac{4}{52}[/tex] = [tex]\frac{1}{13}[/tex]

(ii) Drawing a second card which is a queen: Let the event be Y. The probability is given by;

P(Y) = [tex]\frac{number-of-possible-outcomes-of-event-Y}{total-number-of-sample-space}[/tex]

Since there are 4 queen cards in the pack, the number of possible outcomes of event Y = 4

But then, the total number of sample = 51, since there 52 cards in total and a king card has been removed without replacement.

P(Y) = [tex]\frac{4}{51}[/tex]

Therefore, the probability of selecting a first card as king and a second card as queen is;

P(X and Y) = P(X) x P(Y)

= [tex]\frac{1}{13} * \frac{4}{51}[/tex] = 0.078

Therefore the probability is 0.078

Answer:

a) Central area = 0.95, df = 10 t = (-2.228, 2.228)

(b) Central area = 0.95, df = 20 t= (-2.086, 2.086)

(c) Central area = 0.99, df = 20 t= ( -2.845, 2.845)

(d) Central area = 0.99, df = 60 t= (-2.660, 2.660)

(e) Upper-tail area = 0.01, df = 30 t= 2.457

(f) Lower-tail area = 0.025, df = 5 t= -2.571

Step-by-step explanation:

In this question, we are to determine the t critical value that will capture the t-curve area in the cases below;

We can use the t-table for this by using the appropriate confidence interval with the corresponding degree of freedom.

The following are the answers obtained from the table;

a) Central area = 0.95, df = 10 t = (-2.228, 2.228)

(b) Central area = 0.95, df = 20 t= (-2.086, 2.086)

(c) Central area = 0.99, df = 20 t= ( -2.845, 2.845)

(d) Central area = 0.99, df = 60 t= (-2.660, 2.660)

(e) Upper-tail area = 0.01, df = 30 t= 2.457

(f) Lower-tail area = 0.025, df = 5 t= -2.571

Answer:

A: (2, 11).

Step-by-step explanation:

For an ordered pair to be a solution of an equation, the ordered pair must "fit".

A: (2, 11).

11 = 3(2) + 5

11 = 6 + 5

11 = 11

So, (2, 11) is a solution.

B: (3, 13).

13 = 3(3) + 5

13 = 9 + 5

13 = 14

Since 13 is not the same thing as 14, (3, 13) is not a solution.

Since A works but B doesn't, choices C and D are both eliminated. A is your answer.

Hope this helps!

Answer:

Subtract c from each side, using the subtraction property of equality

Step-by-step explanation:

0 = ax^2 + bx + c

Subtract c from each side, using the subtraction property of equality

-c = ax^2 + bx + c-c

-c = ax^2 + bx

Answer:

subtract c from each side, so the answer would be D

Answer:

b. [tex]g(x)=f(x)-5[/tex]

Step-by-step explanation:

You have that the function f(x) has its y-intercept for y=3.

Furthermore, you have that g(x) is a transformation of f(x) with y-intercept for y=-2.

In this case you have that f(x) has been translated vertically downward.

The general way to translate a function vertically in the coordinate system is:

[tex]g(x)=f(x)+a[/tex]      (1)

being a positive or negative.

if g(x) has its y-intercept for y=-2, and the y-intercept of f(x) is for y=3, then the value of a in the equation (1) must be a = -5, which is the difference between both y-intercepts, in fact:

a = -2 -3 = -5

Then, the answer is:

b. [tex]g(x)=f(x)-5[/tex]

Answer: g(x) = f(x) - 5

Step-by-step explanation:

just took this

Step-by-step explanation:

Using trigonometrical functions we can obtain the required side lengths.

[tex] \sin 45\degree = \frac{a}{16\sqrt 2}\\\\

\therefore \frac{1}{\sqrt 2}= \frac{a}{16\sqrt 2}\\\\

\therefore a = \frac{16\sqrt 2}{\sqrt 2}\\\\

\huge\red {\boxed {\therefore a = 16}} \\\\

\cos 45\degree = \frac{c}{16\sqrt 2}\\\\

\therefore \frac{1}{\sqrt 2}= \frac{c}{16\sqrt 2}\\\\

\therefore c = \frac{16\sqrt 2}{\sqrt 2}\\\\

\huge\purple {\boxed {\therefore c = 16}} \\\\

\sin 30\degree = \frac{a}{b}\\\\

\therefore \frac{1}{2}= \frac{16}{b}\\\\

\therefore b = {16\times2}\\\\

\huge\orange{\boxed {\therefore b = 32}} \\\\

\tan 30\degree = \frac{a}{d}\\\\

\therefore \frac{1}{\sqrt 3}= \frac{16}{d}\\\\

\therefore d = {16\times\sqrt 3}\\\\

\huge\pink {\boxed {\therefore d = 16\sqrt 3}} \\\\

[/tex]

Answer:

It means the left side of the equation equals the right side of the equation regardless of the value of the variables. The solution is all real numbers for each variable

Step-by-step explanation:

Answer:

(4,0,-7)

Step-by-step explanation:

The initial position was (0,0,0) since it was the origin

Now, we have a movement of positive x at a distance of 4 units, with a distance of z a total of 7 units(negative since downward)

The current position is thus;

(4,0,-7)

Thus correlates to (x,y,z) and our y has remained zero as there is no movement along the y-axis

Answer:

ΔV = 865.51 mm^3

Step-by-step explanation:

In order to calculate the difference in volume between both baseballs you use the following formula for the volume of a sphere:

[tex]V=\frac{4}{3}\pi r^3[/tex]       (1)

where r is the radius of he sphere.

You calculate the volume of each sphere:

First baseball:

radius = 23.2mm/2 = 11.61mm

[tex]V_1=\frac{4}{3}\pi (11.61mm)^3=6555.18\ mm^3[/tex]

Second baseball:

radius = 24.2mm/2 = 12.1mm

[tex]V_2=\frac{4}{3}\pi (12.10)^3=7420.70\ mm^3[/tex]

Then, the difference in the volumen of both spheres is:

[tex]\Delta V=V_2-V_1=7420\ mm^3-6555.18\ mm^3=865.51\ mm^3[/tex]

Answer:

B. y > 2/3x + 1

Step-by-step explanation:

To find slope we'll use the following formula,

[tex]\frac{y^2-y^1}{x^2-x^1}[/tex]

(-3,-1) (3,3)

3 - -1 = 4

3 - -3 = 6

2/3x

The y intercept is 1,

we know this because that's the point the line touches the y axis.

Thus,

the answer is B. y > 1/3x + 1.

Hope this helps :)

The graph of the solution of an inequality is given .

The graph represents the inequality is [tex]y>\frac{2}{3} x+1[/tex]

Option B

Given :

The graph of an inequality. To find the inequality for the given graph we use linear equation [tex]y=mx+b[/tex]

where m is the slope and b is the y intercept

To find out slope , pick two points from the graph

(-3,-1) and (3,3)

[tex]slope =\frac{y_2-y_2}{x_2-x_1} =\frac{3+1}{3+3} =\frac{2}{3} \\m=\frac{2}{3}[/tex]

Now we find out y intercept b

The point where the graph crosses y axis is the y intercept

The graph crosses y axis at 1

so y intercept b=1

The linear equation for the given graph is

[tex]y=\frac{2}{3} x+1[/tex]

Now we frame the inequality . we use test point that lies inside shaded region

Lets take (4,5)

[tex]y=\frac{2}{3} x+1\\5=\frac{2}{3} (4)+1\\5=3.6\\5>3.6\\y>\frac{2}{3} x+1[/tex]

The inequality for the given graph is

[tex]y>\frac{2}{3} x+1[/tex]

Learn more : brainly.com/question/24649632

Answer:

[tex]6-8cos2x+2cos4x[/tex]

Step-by-step explanation:

We are given that

[tex]16sin^4 x[/tex]

We can write the given expression as

[tex]16(sin^2x \times sin^2 x)[/tex]

[tex]16(\frac{1-cos2x}{2})(\frac{1-cos2x}{2})[/tex]

By using the formula

[tex]sin^2\theta=\frac{1-cos2\theta}{2}[/tex]

[tex]4(1-cos2x)^2[/tex]

[tex]4(1-2cos2x+cos^2(2x)[/tex]

Using the identity

[tex](a-b)^2=a^2+b^2-2ab[/tex]

[tex]4(1-2cos2x+\frac{1+cos4x}{2})[/tex]

[tex]4-8cos2x+2+2cos4x[/tex]

[tex]6-8cos2x+2cos4x[/tex]

This is required expression.

Answer:

The answer is B.

Step-by-step explanation:

You have to substitute x = 2, into the equation of y :

[tex]y = 6 {x}^{3} - 5 {x}^{2} + 4x - 3[/tex]

[tex]let \: x = 2[/tex]

[tex]y = 6 {( 2)}^{3} - 5 {(2)}^{2} + 4(2) - 3[/tex]

[tex]y = 48 - 20 + 8 - 3[/tex]

[tex]y = 33[/tex]

Answer:

25 percent of 8 is 2 so 2 hours

Step-by-step explanation:

Answer:

a) 17.6 + 5.4i

b) 37.6

Step-by-step explanation:

a) (9 + 9.4i) + (8.6 - 4i)

Collect like terms:

9 + 8.6 + 9.4i - 4i

= 17.6 + 5.4i

b) (9.4i)(-4i)

Expand the brackets:

9.4 * -4 * i *  i

[tex]i = \sqrt{-1}[/tex]

Therefore, i * i = -1

=> (9.4i)(-4i) = -37.6 * -1

= 37.6

Answer:

A: (–0.3, 2.1)

Answer:a

Step-by-step explanation:

Answer:

c. $50.37

Step-by-step explanation:

Close price was $56.11 and net change was $5.74. so subtract the net change from the close to get yesterday's price.

Answer:

c.50.37

Step-by-step explanation:

The lowest common denominator is lcm(5, 3), which is 15.

The sum of 2/5 + 5/3 + 9/3 is 6/15 + 25/15 + 45/15, which is 76/15 or [tex]5\frac{1}{15}[/tex].

Answer:

Step-by-step explanation:

This is a permutation problem. Given the 10 cards with numbers 2, 3, 4,5,5,7,7,7,7,7 on it, if Salvador is going to make a row call, the number of ways he can order a row is as shown below;

Total number of cards = 10!

number of times the digit 5 was repeated = 2times

number of times the digit 7 was repeated = 5times

The number of ways he can make a row call = 10!/2!5!

= 10*9*8*7*6*5!/2*5!

=  10*9*8*7*6/2

=  10*9*8*7*3

= 15,120 different ways

Hence, the number of ways he can order the row is 15,120 number of ways.

Answer:

(42, 0)

Step-by-step explanation:

Since we know the slope and y-intercept we can write the equation of the line in slope-intercept form which is y = mx + b; therefore, the equation is y = -3/7x + 18. To find the x-intercept, we just plug in y = 0 which becomes:

0 = -3/7x + 18

-18 = -3/7x

x = 42

[tex]\text{In order to find your x intercept, plug in 0 to y and solve:}\\\\0=-\frac{3}{7}x+18\\\\\text{Subtract 18 from both sides}\\\\-18=-\frac{3}{7}x\\\\\text{Multiply both sides by 7}\\\\-126=-3x\\\\\text{Divide both sides by 3}\\\\42 = x\\\\\text{This means that the x-intercept is (42,0)}\\\\\boxed{\text{x-intercept: (42,0)}}[/tex]

Answer:

-3x-12

Step-by-step explanation:

-10x-4-8+7x

-3x-4-8

-3x-12

Answer:

-3x-12

Step-by-step explanation:

– 10x + – 4 – 8 + 7x

Combine like terms

-10x +7x   -4-8

-3x              -12

Answer:

2 < x < ∞

Step-by-step explanation:

We want where the value of y is less than zero

The value of the graph is  less than zero is from x=2 and continues until x = infinity

2 < x < ∞

Answer:

[tex]\boxed{2 < x < \infty}[/tex]

Step-by-step explanation:

The value of y should be less than 0 for the graph of the function to be negative.

In the graph, when it startes from x is 2 the value becomes less than 0 and it keeps continuing until x is equal to infinity.

[tex]2 < x < \infty[/tex]

Answer:

7/9

Step-by-step explanation:

P(blue or odd) = P(blue) + P(odd) − P(blue and odd)

P(blue or odd) = 4/9 + 5/9 − 2/9

P(blue or odd) = 7/9

Alternatively:

P(blue or odd) = 1 − P(not blue and not odd)

P(blue or odd) = 1 − 2/9

P(blue or odd) = 7/9

Answer:

slope of the line through (3, 7) and (-1, 4) is

[tex]m = \frac{4 - 7}{ - 1 - 3} \\ \\ = \frac{ - 3}{ - 4} \\ \\ = \frac{3}{4} [/tex]

Hope this helps you

Answer:

3/4

Step-by-step explanation:

Using the slope formula

m = (y2-y1)/(x2-x1)

   = (4-7)/(-1-3)

   = -3/-4

   = 3/4

Answer:

E, needs more info to be determined

Step-by-step explanation:

We know that Kai takes 30 minutes round-trip to get to his school.

One way is uphill and the other is downhill.

He travels twice as fast downhill than uphill.

This means that uphill accounts for 20 minutes of the round-trip and downhill accounts for 10 minutes of his trip.

However, even with this information, we do not know how far his school is.

In order to figure out how far away his school is, we would need more information about the speed at which Kai is traveling.

Simply knowing that he travels twice as fast downhill is not enough.

This question could only be solved by knowing how many miles Kai travels uphill or downhill in a given time.

Answer:

2x - 4.

Step-by-step explanation:

4 less than twice a number is the same thing as a number times 2 minus 4. Let's say that the number is represented by x.

2 * x - 4 = 2x - 4.

Hope this helps!

Answer:

[tex] z =\frac{33.3- 34}{\frac{5}{\sqrt{54}}}= -1.028[/tex]

[tex] z =\frac{34.3- 34}{\frac{5}{\sqrt{54}}}= 0.441[/tex]

An we can use the normal standard table and the following difference and we got this result:

[tex] P(-1.028<z<0.441)= P(z<0.441) -P(z<-1.028) = 0.670 -0.152 =0.518[/tex]

Step-by-step explanation:

Assuming this statement to complete the problem "with a standard deviation 5 mpg"

We have the following info given:

[tex]\mu = 34[/tex] represent the mean

[tex]\sigma= 5[/tex] represent the deviation

We have a sample size of n = 54 and we want to find this probability:

[tex] P(33.3 < \bar X< 34.3)[/tex]

And for this case since the sample size is large enough >30 we can apply the central limit theorem and then we can use this distribution:

[tex]\bar X \sim N(\mu , \frac{\sigma}{\sqrt{n}})[/tex]

And we can use the z score formula given by:

[tex] z=\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

And replacing we got:

[tex] z =\frac{33.3- 34}{\frac{5}{\sqrt{54}}}= -1.028[/tex]

[tex] z =\frac{34.3- 34}{\frac{5}{\sqrt{54}}}= 0.441[/tex]

An we can use the normal standard table and the following difference and we got this result:

[tex] P(-1.028<z<0.441)= P(z<0.441) -P(z<-1.028) = 0.670 -0.152 =0.518[/tex]