P and a are on points on the line 4x+2y=8. What are the coordinates?

Answer:

10

Step-by-step explanation:

20%x50=10

Final answer:

To find the number of left-handed players on the sports team, 20% of the 50 total players is calculated, which equals 10 left-handed players.

Explanation:

To calculate the number of left-handed players on a local sports team where 20% of the players are left-handed, you need to apply the percentage to the total number of players. If there are 50 players in total, you would calculate 20% of 50:

Convert the percentage to a decimal by dividing it by 100. So, 20% becomes 0.20.

Multiply this decimal by the total number of players to find the number of left-handed players: 0.20  imes 50 = 10.

Therefore, there are 10 left-handed players on the team.

Answer:

The equation of the hyperbola in standard form is

[tex]\frac{y^{2}}{100}-\frac{4x^{2}}{625}=1[/tex]

Step-by-step explanation:

* We will take about the standard form equation of the hyperbola

- If the given coordinates of the vertices (0 , a) and (0 , -a)

∴ The transverse axis is the y-axis. (because x = 0)

- If the given asymptotes at y = ± (b/a) x

∴  Use the standard form  ⇒ y²/a² - x²/b² = 1

* Lets use this to solve our problem

∵ The vertices are (0 , 10) and (0 , -10)

∴ a = ±10

∴ a² = 100

∵ The asymptotes at y = ± 5/4 x

∴ ± 5/4 = ± b/a

∵ a = ± 10

∴ ± 5/4 = ± b/10 ⇒ using cross multiplication

∴± (4b) = ± (5 × 10) = ± 50 ⇒ divide both sides by 4

∴ b = ± 25/2

∴ b² = 625/4

* Now Lets write the equation

* y²/100 - x²/(625/4) = 1

∵ x² ÷ 625/4 = x² × 4/625 = (4x²/625)

∴ y²/100 - 4x²/625 = 1

* The equation of the hyperbola in standard form is

  [tex]\frac{y^{2}}{100}-\frac{4x^{2}}{625}=1[/tex]

Jessica, who reads at a speed of 3 pages per minute, can read 360 pages in 2 hours.

The subject of this question is mathematics, answered by a simple multiplication operation. Jessica loves to read and reads at a speed of 3 pages per minute. We know that there are 60 minutes in an hour, so in 2 hours, there are 2 * 60 = 120 minutes. Now, if Jessica reads 3 pages per minute, in 120 minutes, she would read 120 * 3 = 360 pages. Therefore, Jessica can read 360 pages in 2 hours at her reading speed.

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Answer:

The circle's diameter is [tex]4\ yd[/tex]

Step-by-step explanation:

we know that

The circumference of a circle is equal to

[tex]C=\pi D[/tex]

where

D is the diameter of the circle

In this problem we have

[tex]C=12.56\ yd[/tex]

[tex]\pi=3.14[/tex]

substitute the values and solve for D

[tex]12.56=(3.14)D[/tex]

[tex]D=12.56/(3.14)=4\ yd[/tex]

Answer:

Yes, you can translate a mathemetical expression into a verbal expression.

Step-by-step explanation:

If that explantion was not helpful, you can always read out the equation verbally. For example, you can say that "three more than x" can be written as an algebraic expression. x + 3 x+ 3 x+3 .

10km+9hm+16adm+19m

I think your trying to question about combining the like terms?

The student is asked to add two sets of distances in various units. The sum of 3km 9hm 9dam 19m and 7km 7dam is converted to meters and added together, resulting in a total of 11 kilometers and 149 meters.

The question involves the addition of distances in different units, namely kilometers (km), hectometers (hm), decameters (dam), and meters (m). The student is asked to perform an addition of 3km 9hm 9dam 19m and 7km 7dam. To solve this, we must first convert all units to meters, add them up, and then convert back to the appropriate unit if necessary.

Step-by-step solution:

This results in a total distance of 11 kilometers and 149 meters.

Time taken by Julian to complete 24 km trip to Guelph at 12 km/h =

[tex]\frac{24}{12}=2[/tex] hours

Time taken by Julian for return trip at 8 km/h = [tex]\frac{24}{8}=3[/tex] hours

As given, the total distance is 24 + 24 = 48 km.

And the total time is 2 + 3 = 5 hrs.

Hence, the average speed for the entire trip is = [tex]\frac{48}{5}= 9.6[/tex]

The answer is 9.6 km/hour.

Answer:

13:12

Step-by-step explanation:

52% 2400 = 1248

48% 2400 = 1152

Reduce to 13/12 = 13:12

Answer:

V=18.75 or 18 3/4

Step-by-step explanation:

The formula for a rectangle prism is V=L×W×H

V=L×W×H

V= 3×2.5×2.5

V=18.75 or 18 3/4

Answer:

Figure 4: Square

Figure 1: Parallelogram

Figure 2: Rectangle

Step-by-step explanation:

Question 1: If they're not similar it can't be the same shape but if they have the same corresponding angles it has to be either a rectangle or a square. It can't be a rectangle so it must be a square.

Question 2: Can't be similar so it can't be the same shape. The only two shapes with side lengths proportional are the parallelogram and the rectangle. It can't be the rectangle so it must be the parallelogram.

Question 3: If it's similar it has to be the same shape so the answer must be the rectangle.

Answer:

hope this helps

Step-by-step explanation:

Answer:

n E R

Step-by-step explanation:

Since 7n-8 is a linear equation with no restrictions, n's domain is real numbers.

Answer:

Step-by-step explanation:

with 1st term = -1. and common difference is 7

in this series we can say that 1st term is -1 , 2nd term is 6 , 3rd term is 13 , and so on

therefore in a series we cannot define a 0th term , so here n will be greater than or equal to 1.

Answer: The graph is attached.

Step-by-step explanation:

1. Solve for y, as following:

[tex]10x+7y<49\\7y<-10x+49\\y<-\frac{10}{7}x+\frac{49}{7}\\\\y<-\frac{10}{7}x+7[/tex]

2. The equation of the line in slope intercept form is:

[tex]y=mx+b[/tex]

Where m is the slope and b is the y-intercept.

3. In this case the equation of the line is:

[tex]y=-\frac{10}{7}x+7[/tex]

then:

[tex]m=-\frac{10}{7}\\\\b=7[/tex]

4. Find the x-intercept. Make y=0. Then:

[tex]0=-\frac{10}{7}x+7\\\frac{10}{7}x=7\\x=4.9[/tex]

5. Then, plot the line that passes through the points (0,7) and (4.9, 0).

6. The symbol of the inequality is < therefore, the line must be dashed and indicates that the region under the line must be shaded.

Then you obtain the graph attached.

Answer:

We need to graph the given inequality 10x + 7y < 49.

We can do that into 2 parts:

Part 1:

Graph the line 10x+7y=49

plug any number for x say x=0

10x+7y=49

10(0)+7y=49

0+7y=49

7y=49

y=49/7

y=7

hence it passes through point (0,7)

similarly plug y=0

10x+7(0)=49

10x=49

x=49/10

x=4.9

hence it passes through point (4.9,0)

Graph both points then join them by a straight dotted line because of < sign.

PART 2:

Shade the graph for inequality sign <

use any test point which is not on the given line say (0,0)

plug into original problem

10x + 7y < 49

10(0) + 7(0) < 49

0<49 is true

so shade in direction of test point

Hence final graph looks like:

-6 + 15w = 9w + 66

6w = 72

w = 12

Answer:

(x+1)^2 + (y-6)^2 = 3^2

Step-by-step explanation:

The general equation for a circle is given by

(x-h)^2 + (y-k)^2 = r^2

where (h,k) is the center and r is the radius

Substituting in the point (-1,6) and the radius 3

(x--1)^2 + (y-6)^2 = 3^2

(x+1)^2 + (y-6)^2 = 3^2

Answer:

2016 apex approved

Step-by-step explanation:

Answer:

Dora must have planned to repay her debts no later than year 2016.

Step-by-step explanation:

When a person enters into a Chapter 13 bankruptcy case, he or she can reorganize his/her debts or unpaid mortgage or any other loan payment. This can be paid off between three to five years with five years being the maximum allotted time frame.

So, if Dora filed for chapter 13 bankruptcy in 2011, she must have planned to repay her debts no later than [tex]2011+5=2016[/tex]

Answer:

sin, cos, sec, csc  

Step-by-step explanation:

If the terminal side passes through (-1, -1), the angle θ = 225° and is in the third quadrant.

sinθ = opp/hyp = -/+  =  -

cosθ = adj/hyp  = -/+ =  -

tanθ = opp/adj  = -/-  = +

cotθ = adj/opp  = -/-  = +

secθ = 1/cosθ            =  -

cscθ = 1/sinθ             =  -

The functions that will be negative for the angle are sin, cos, sec, and csc.

pretty sure it’s B if it’s talking about her car loan and that isn’t including the money she borrowed. lmk if that’s right

a) second and last one : 32x - 24 and 8*4x - 8*3

b) first and third one : 22y and 7y + 15y

pls mark brainliest!!

Answer:

a. b,d / b. a,c

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The amount of plastic needed to cover the globe is the surface area of the globe. Since a globe is a sphere, the formula is SA = 4/3 πr³. Substitute r= 3 inches.

SA = 4/3 π(3)³ = 4/3 π * 27 = 36π

Answer:

After 50 years the stock value will be $50 per share.

Step-by-step explanation:

Simple Interest Equation (Principal + Interest)

A = P(1 + rt)

Where:

A = Future amont = $50

P = Principal Amount = $40

r = Rate of Interest per year in decimal; r = R/100 = 0.5/100 = 0.005

t = Time Period involved in months or years  

Plug in the values

50 = 40(1 + 0.005t)

50 / 40 = (1 + 0.005t)

5/4 = 1 + 0.005t

5/4 - 1 = 0.005t

0.25 = 0.005t

t = 0.25 / 0.005

t = 50 years

Answer:

44. 7 yr

Step-by-step explanation:

The compound interest equation is

[tex]A = P(1+ \frac{r }{ n})^{nt}[/tex]

You don't give the frequency of compounding, so I will assume that it is once per year.

Data:

P = $40

r = 0.5 % = 0.005

n =1  

Calculations:

(a) Calculate A

A = P + I = 40 + 10 = $50

(b) Calculate t

[tex]50 = 40(1+ \frac{0.005 }{ 1})^{1 \times t}\\50 = 40(1+ 0.005)^{t}[/tex]

Divide each side by 40

[tex]1.25 = 1.005^{t}[/tex]

Take the logarithm of each side

 log1.25 = tlog1.005

0.09691 = 0.002 166t

Divide each side by 0.002 166

t = 44.7 yr

The value of the stock will be $50 in 44.7 yr.

Graph y because your y intercept is equal to -3 so that’s where you would start. Then your slope is equal to rise over run so you would go up 1 unit and right 3 since it’s positive

Answer:

Step-by-step explanation:

Answer:

The correct option is B.

Step-by-step explanation:

From the given figure it is clear that triangle LMN is a right angled triangle.

According to Pythagoras theorem: In a right angled triangle

[tex]hypotenuse^2=perpendicular^2+base^2[/tex]

In triangle LMN,

[tex]LN^2=LM^2+MN^2[/tex]

[tex](\sqrt{20})^2=x^2+(x-2)^2[/tex]

[tex]20=x^2+x^2-4x+4[/tex]

[tex]20=2x^2-4x+4[/tex]

Subtract 20 from both sides.

[tex]0=2x^2-4x+4-20[/tex]

[tex]0=2x^2-4x-16[/tex]

Taking out common factors.

[tex]0=2(x^2-2x-8)[/tex]

Splitting the middle term we get

[tex]0=2(x^2-4x+2x-8)[/tex]

[tex]0=2(x(x-4)+2(x-4))[/tex]

[tex]0=2(x-4)(x+2)[/tex]

Using zero product property we get

[tex]x-4=0\Rightarrow x=4[/tex]

[tex]x+2=0\Rightarrow x=-2[/tex]

The value of can not be negative because side of a triangle is always positive. So, the value of x is 4.

Therefore the correct option is B.

A) would be the correct answer

The answer is x = -2

Answer:

x=-2

Step-by-step explanation:

2x=-4

x=-2

Answer: April is correct.

Step-by-step explanation: According to the methods used in systems of equations, if we are to solve this system by setting up the equations

(3 = -2x + 1), we see that the solution is x = -1. If you substitute this x-value back into the original equation, y = -2x + 1, we get the answer y = 3 and thus, receiving the solution to the system (-1,3). Anthony is wrong because the graph includes an extra line at x = 3, throwing off his answers.  

It’s a heptagon, which has seven points.

Answer:

A Polygon that has 7 points would have to be a heptagon.

Step-by-step explanation:

Answer:

f(x)= 2/3-3 is undefined.

Answer:

The scale factor is 1.5

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

so In this problem

Let

z -----> the scale factor

[tex]z=\frac{B'C'}{BC}=\frac{C'D'}{CD}=\frac{D'A'}{DA}=\frac{A'B'}{AB}[/tex]

substitute the values

[tex]z=\frac{3}{2}=\frac{4.5}{3}=\frac{4.5}{3}=\frac{4.5}{3}[/tex]

therefore

[tex]z=1.5[/tex]

The scale factor is 1.5

The converse of the statement, "If you are smiling, then you are happy" is Option(C) "If you are not smiling, then you are not happy".

The converse of a statement is formed by switching the hypothesis and the conclusion. Thus the converse of a true statement is always false and for conditional relation statement, "If true then yes". If there are two statement proposition p and q then the converse of the statements is denoted as p→q.

Original statement given "If you are smiling, then you are happy" .

Converse is just opposite of the given statement denoting the same meaning of the Hypothesis.

Thus we have the converse statement in Option (C),

"If you are not smiling, then you are not happy".

To learn more about converse statement , refer -

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Answer:

Step-by-step explanation:

Look at the picture.

We know: the sum of the measures of the angles of the triangle is equal to 180 °.

Therefore

In ΔTQR we have the equation:

[tex]\alpha+\beta+130^o=180^o[/tex]         subtract 130° from both sides

[tex]\alpha+\beta=50^o[/tex]

In ΔPQR we have the equation:

[tex]2\alpha+2\beta+m\angle QPR=180^o[/tex]

[tex]2(\alpha+\beta)+m\angle QPR=180^o[/tex]

Substitute from the first equation

[tex]\alpha+\beta=50^o[/tex]

[tex]2(50^o)+m\angle QPR=180^o[/tex]

[tex]100^o+m\angle QPR=180^o[/tex]            subtract 100° from both sides

[tex]m\angle QPR=80^o[/tex]