Determine the equations of the straight lines
passing through the following pairs of points.
1)(2,-2) and (3, 4)
2)(-3, -2) and (1,2)
3)(4,6) and (5,2)
4)(5,8) and (7, 1)
​

Answer:

D

Step-by-step explanation:

It can't be C and B since it doesn't have two parts, and if it was uniform it would have another part attached to the bottom. Moreover, it can't be A since it isn't positively skewed or negatively skewed, so it must be D.

The shape of this distribution is Unimodal symmetric.

Option D is the correct answer.

A histogram is a representation of the distribution of data with intervals.

We have,

In statistics, a distribution is considered unimodal symmetric if it has a single mode or peak and is symmetric around that mode.

This means that the data is evenly distributed on both sides of the mode and is equally likely to occur on either side.

A common example of a unimodal symmetric distribution is the normal distribution, also known as the Gaussian distribution or bell curve.

Thus, the shape of this distribution is Unimodal symmetric.

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Given equation of the Circle is ,

[tex]\sf\implies x^2 + y^2 = 25 [/tex]

And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,

[tex]\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2[/tex]

Here we can say that ,

• Radius = 5 units

• Centre = (0,0)

Finding distance between the two points :-

[tex]\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }[/tex]

Here we can see that the distance of point from centre is less than the radius.

Hence the point lies within the circle .

Answer:

Step-by-step explanation:

m∠2 =  [tex]\frac{1}{2}[/tex](55+41)

m∠2 =   [tex]\frac{1}{2}[/tex](96)

m∠2 =48°

m∠1 = 180-48 = 132°

Answer:

triangle s

that is my answer

Answer:

1 option is correct nd your answer is also correct

Answer:

A

Step-by-step explanation:

Because 113 %45*45 that gives you isosceles

Answer:isosceles and right.

Step-by-step explanation:

Answer:

92

Step-by-step explanation:

6 x 8 = 48  

48 + 136 = 184

184 / 2 = 92

Answer:

18

Step-by-step explanation:

Let

S = sum of the measures of the interior angles of a polygon

n = number of sides of a polygon

The equation is

S = (n - 2) * 180°

Where,

S = 2,880°

S = (n - 2) * 180°

2,880° = (n - 2) * 180°

2,880° = 180°n - 360°

2,880° + 360° = 180°n

3,240° = 180°n

Divide both sides by 180°

n = 3,240° / 180°

n = 18

Good evening everyone, the correct answer is 18 sides.

A polygon with 18 sides' interior angles will add up to 2880 degrees.

Have a blessed night.

Answer:

For the first equation we have:

A*x = b

solving for x, we get:

x = b/A

If it always has a solution, then we can not have A = 0, because that causes an undefined operation.

so for example, if we have A = 1 and b = 2

x = b/A = 2/1

For the other case,

A*y = 0

dividing both sides by A

y = 0/A = 0

y = 0

Here we have only one possible solution, the trivial one, y = 0.

And the dependence on A disappears (because the quotient between zero and a number different than zero is always zero)

Answer:

5%

Step-by-step explanation:

Both should be in same measurement. so convert 4 kg to gram

1 Kg = 1000 g

4 kg = 4 * 1000 = 4000 g

[tex]\frac{200}{4000}*100=\frac{2}{40}*100\\\\=\frac{1}{20}*100 = 1 * 5\\[/tex]

= 5%

SSS (side-side-side) requires that all three sides of the potentially congruent triangles be congruent.

Triangle WVU & Triangle UBW are our two triangles.

The middle line, UW and WU are congruent by the reflexive property, so that is not the information we need to prove SSS.

For SSS, we need to know that sides WV and UB are congruent.

Hope this helps!

Answer:

Step-by-step explanation:

85/1000 because we said that 1 meter = 1000 mililiters

Divide both sides by 5 and then you have 17/200

then divide both sides by 2 (to get it over 100) =

8.5/100

.085%

Hope that helps!!

You could also just do 85/1000 you would get the same answer!!

Answer: Choice A

L = 65 - 15d; discrete

===============================================

Explanation:

He starts with 65 cm of bread. After the first day he has 65-15 = 50 cm left over. After the second day he has 65-15*2 = 35 cm left over, and so on.

In general, he has 65-15d centimeters left over after d number of days have elapsed. For example, if d = 3 days pass by, then he has 65-15d = 65-15*3 = 65-45 = 20 cm left over.

So that's why the equation we're after is L = 65-15d where d is the number of days, and L is the amount left over in cm.

The number of days is discrete because we're dealing with the set of nonnegative numbers {0,1,2,3,4,...}. We can't have d = 2.5 for instance.

Because the input variable d is discrete, this automatically means L is discrete as well. Consider a finite domain such as {0,1,2,3}. This finite domain would map to the finite range {65,50,35,20}. These two finite sets are sufficient to say we have a discrete function.

A discrete function leads to a discrete graph which is simply a set of points. You would not connect the dots to form a straight line (simply leave the points as separate islands).

Answer:

t > 28

Step-by-step explanation:

Answer:

Step-by-step explanation:

5×6= 30

150+30

= 180

Answer:

a

Step-by-step explanation:

x/150=6/5

x=6/5×150=6×30=180 inches.

Answer:

1500

Step-by-step explanation:

The area of the regtangular floor is 360m². The floor is going to be retired with tiles having area of 240cm² . We need to find the number of times . Therefore ,

[tex]\implies 360m^2 = 360 \times 10^4 \ cm^2 [/tex]

And , the number of tiles required will be ,

[tex]\implies n =\dfrac{Area \ of \ floor}{Area \ of \ a \ tile }\\\\\implies n =\dfrac{ 360 \times 10^4 \ cm^2}{240 cm^2} \\\\\implies \underline{\underline{ n = 1,500 }}[/tex]

Hence the required answer is 1500 .

Answer:

the answer is 8 because DEF is 8 times larger than ABC.

Step-by-step explanation:

hope that helps>3

Answer:

3

Step-by-step explanation:

To find scale factor, you need to divide two of the given sides. Meaning you can do any corresponding sides. So, for now, I will do 12 from DEF and 4 from ABC.

12 ÷ 4 = 3

To check if it is accurately 3, you will do it again (optional). You can use 15 from DEF and 5 from ABC

15 ÷ 5 = 3

Since both are 3, that will be the scale factor.

The answer is 3.

The equation of the line will be y = 1/3x. The correct option is F.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

The slope of the line is calculated as,

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

The two points are (6,2) and (0,0). Calculate the slope of the line,

[tex]m = \dfrac{0 - 2}{0-6}[/tex]

m = 1 / 3

The equation of the line can be written as,

y = mx +c

y = 1/3x + 0

y = 1/3x

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Answer:

[tex]{ \bf {factor : { \tt{x - 1}}}} \\ x - 1 = 0 \\ x = 1 \\ { \tt{f(x) = {x}^{3} - {3x}^{2} + kx - 1}} \\ { \tt{f(1) : {(1)}^{3} - 3 {(1)}^{2} + k(1) - 1 = 0}} \\ { \tt{k - 3 = 0}} \\ { \tt{k = 3}}[/tex]

Answer:

k = 3

Step-by-step explanation:

If x-1 is a factor of x³ - 3x² + kx - 1 then value of x is 1.

f (x ) = x³ - 3x² + Kx - 1 , then

plug 1 as x in the expression.

expand exponents

combine like terms

Add 3 to both side

Answer:

Step-by-step explanation:

B/c  the bigger triangle is a copy of the smaller we can say

8[tex]\sqrt{3}[/tex] / 12  = x / 8[tex]\sqrt{3}[/tex]

then, solve for x

8[tex]\sqrt{3}[/tex](8[tex]\sqrt{3}[/tex]/12) = x

(64 *3) 12 = x

192 /12 = x

16 = x

nice,  the first answer looks good , then :P

Answer:

16

Step-by-step explanation:

Answer:

[tex]\frac{y^8}{x^{10}}[/tex]

Step-by-step explanation:

Given

[tex](\frac{x^{-4}y}{x^{-9}y^5})^{-2}[/tex]

Required

The equivalent

Apply law of indices to the inner bracket

[tex](x^{-4--9}y^{1 -5})^{-2}[/tex]

[tex](x^{5}y^{-4})^{-2}[/tex]

Rewrite as:

[tex]\frac{1}{(x^{5}y^{-4})^2}[/tex]

Expand

[tex]\frac{1}{(x^{5*2}y^{-4*2})}[/tex]

[tex]\frac{1}{(x^{10}y^{-8})}[/tex]

Apply law of indices

[tex]\frac{y^8}{x^{10}}[/tex]

Answer:

(centre = (3, - 1 ) and radius = 7

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Given

x² + y² - 6x + 2y - 39 = 0 ( collect x/ y terms and add 39 to both sides )

x² - 6x + y² + 2y = 39

Using the method of completing the square

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(- 3)x + 9 + y² + 2(1)y + 1 = 39 + 9 + 1

(x - 3)² + (y + 1)² = 49 ← in standard form

with centre (3, - 1 ) and r = [tex]\sqrt{49}[/tex] = 7

Answer:

a) [tex]-\frac{21}{18}[/tex], b) [tex]\frac{2}{8}[/tex].

Step-by-step explanation:

Let be [tex]u[/tex] a real number, its additive inverse is a real number [tex]v[/tex] so that:

[tex]u+v = 0[/tex]

That is,

[tex]v = - u[/tex] (1)

Then, the additive inverses of [tex]\frac{21}{18}[/tex] and [tex]-\frac{2}{8}[/tex] are, respectively:

a) [tex]-\frac{21}{18}[/tex], b) [tex]\frac{2}{8}[/tex].

the solution is in the picture ☝️

ANSWER: 240 hours

this is for n.12

Answer:

4

Step-by-step explanation:

7h-15h+40=-72

-8h=-32

h=4

Answer:

I hope this helps

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

The complete statement is BC ≅ TR.

In mathematics, the Pythagorean theorem, or Pythagoras' theorem, exists a fundamental relation in Euclidean geometry among the three sides of a right triangle. It expresses that the area of the square whose side exists the hypotenuse stands equivalent to the sum of the areas of the squares on the other two sides.

Using the similarity of triangle theorem BC ≅ TR

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Answer:

A) 5

Step-by-step explanation:

We are given that:

[tex]x^2+kx+6=(x+n)(x+3)[/tex]

Where k and n are constants.

And we want to find the value of k.

We can expand the right-hand side:

[tex]\displaystyle =x(x+n)+3(x+n)\\ \\ = x^2+nx+3x+3n \\ \\ = x^2 + (n+3)x+3n[/tex]

Hence:

[tex]x^2+kx+6=x^2+(n+3)x+3n[/tex]

The coefficients of each term must be equivalent. In other words:

[tex]k=n+3\text{ and } 6=3n[/tex]

Solve for n:

[tex]n=2[/tex]

Now, we can solve for k:

[tex]k=(2)+3=5[/tex]

Our answer is A.

Answer:

4/9

Step-by-step explanation:

First of all we need to get rid of the -2 exponent and make it positive in order  to solve this equation.

Therefore to do this we just use the reciprocal of 3/2 which is 2/3

Now we have (2/3)^2

Since 2/3 is being squared we used the following equation below:

(2/3) * (2/3)

We multiply 2/3 by itself twice since 2 is the exponent.

Then we get:

2^2

-----

3^2

2 squared is 4 and 3 squared is 9.

Therefore the final answer is 4/9.

I hope this helps have a good rest of your day!

Answer:

4/9

Step-by-step explanation:

(3/2)^(-2)

(3/2)^2=(3/2)(3/2)=9/4

However, ^(-2) means 1/(9/4), which gives you 4/9.

Answer:

ok

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