4. In parallelogram PQRS, QP is extended to point T and ST is drawn. If ST SP and
m 130°
80°
65°
50°

[tex]answer \\(x - 4)(3x + 2) \\ solution \\ {3x}^{2} - 10x - 8 \\ = {3x}^{2} - (12 - 2)x - 8 \\ = {3x}^{2} - 12x + 2x - 8 \\ = 3x(x - 4) + 2(x - 4) \\ = (x - 4)(3x + 2) \\ hope \: it \: helps[/tex]

Answer:

Step-by-step explanation:

Answer:

The answer is (rounded) 4.47213

Step-by-step explanation:

Have a nice day!

Answer:

The correct choice is 4.47213

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

(whole secant) x (external part) =  (whole secant) x (external part)

(6+x) *6 = (4+23) * 4

(6+x) *6 = 27*4

6(6+x) = 108

Divide each side by 6

6+x =18

Subtract 6 from each side

6+x-6 =18-6

x = 12

Answer:

Step-by-step explanation:

1. Find two numbers that add to make the coefficient of x (in this case, -5) and that multiply to make the constant term multiplied by the coefficient of x^2 (in this case, -2 x 3 = -6)

Two numbers that work are -6 and +1

-6 x +1 = -6

-6 + -1 = -5

2. Split the middle term into the two numbers that you found.

3x^2 -6x +x -2 = 0

I've put the -6 on the left side because in our next step, when we factorise, it will be easier than having the numbers the other way around.

3. Factorise the left side by taking out common factors from each pair. The pairs I'm talking about here are '3x^2 and -6x', and 'x and -2'

3x (x-2) +1 (x-2) = 0

4. You now have two numbers both being multiplied by the term x-2. We can rearrange this equation to give us two brackets being multiplied by each other.

(3x + 1) (x-2) = 0

5. According to the Null Factor Law, if two terms are multiplied together and the result is 0, then one of those terms must be 0. Make both terms equal to 0 and solve each for x.

3x + 1 = 0              x-2 = 0

3x = -1                   x = 2

x = -1/3

6. The solutions to this equation are x = 2 and x = -1/3

Answer:

Step-by-step explanation:

Start by separating (not factoring) -5x.  For example, we might get {-2x, - 3x} (note how these combine to produce -5x).  Might have to try several combinations to find the right one.

Then 3x^2 -5x -2=0 could possibly be x(3x - 2) - (3x - 2), or

                                                                x(3x - 2) - 1(3x - 2).

Notice how the factor (3x - 2) shows up twice.  If we factor out (3x - 2) we are left with (x - 1).  We check these results by multiplying (3x - 2) and (x - 1) together, so we can be sure that the result is the original 3x^2 -5x -2=0.

(3x - 2)(x - 1) = 3x^2 - 3x - 2x + 1 results in 3x^2 - 5x + 2.  Unfortunately, the sign of that 2 is incorrect; we'd hoped for -2, not +2.

To check this further, I used synthetic division with 1 as divisor; the remainder is -4, which tells us that (x - 1) is not a factor of 3x^2 -5x -2=0.

Please double check to ensure that you have copied this problem down correctly.

Answer:

2 quadrant

Step-by-step explanation:

i think

Answer:

Quadrant 2...

There are 6 numbers in one die.

There are 2 numbers that are less than or equal to 2, they are 1 and 2

The probability of something happening is the number of chances / total number

The probability would be 2/6, which can be reduced to 1/3

Answer:

48 years.

Step-by-step explanation:

Consider the complete question is "The ratio of ages of kissi and esinam is 3:5 and that of esinam and lariba is 3:5. The sum of ages of all 3 is 147 years. whats the age difference between oldest and youngest ?"

It is given that

Kissi : Esinam = 3:5 = 9:15

Esinam : Lariba = 3:5 = 15:25

So, the combined ratio is Kissi : Esinam : Lariba = 9:15:25

Let ages of Kissi, Esinam, Lariba are 9x, 15x and 25x.

Sum of ages of all 3 is 147 years.

[tex]9x+15x+25x=147[/tex]

[tex]49x=147[/tex]

[tex]x=3[/tex]

The value of x is 3. So, the age of all three are

[tex]Kissi=9x=9(3)=27[/tex]

[tex]Esinam=15x=15(3)=45[/tex]

[tex]Lariba=25x=25(3)=75[/tex]

Since Lariba is oldest and Kissi is youngest, therefore, the difference between their ages is

[tex]75-27=48[/tex]

Hence, difference between oldest and youngest is 48 years.

Answer:j=39/28 or 1.392857 or 1 11/28

Step-by-step explanation:

I assume that you are looking for j

1⁄7 + 1⁄2 + 3⁄4=j

9/14+3/4

39/28

Answer:

97 - 65 = $32 for both the puppy food and training pads

32 / 2 = $16 for the puppy food and $16 for the training pads

Answer:

5

Step-by-step explanation:

the measure DF is 7

DE = 2

to get EF, you have to subtract 2 from 7

7 - 2 = 5

Answer:

[tex]\sqrt{11i}[/tex]

Step-by-step explanation:

x^2-9+20 = 0

x^2+11 = 0

x^2 = -11

x = [tex]\sqrt{-11} \\\sqrt{11i} \\[/tex]

Answer:

x=-3 and x=-7

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

i just took the test, its 23

Answer:

2.7 x 10⁻³

6.1 x 10⁵

9.582 x 10⁶

Step-by-step explanation:

The first digits part should be more or equal 1 and less 10

Answer:

Step-by-step explanation:

B c and d

Answer:

First solve the first one

2/x -3/x = 1

Multiply through by x

2/x×x -3/x×x = x

You will get

2 - 3 = x

x = - 1

Substitute x into the second Equation

1/x - 2/y = 2

x = 1

1/1 -2/y = 2

-2/y = 2-1

-2/y = 1

y = -2

Therefore x = - 1 and y = - 2

Hope this helps.

Answer:

x^4y^9, the second option.

Step-by-step explanation:

A radical sign over an expression also means the expression is to the power of 1/2. In other words, the square root of n=n^1/2

(x^8y^18)^1/2

You divide the powers by 2

x^4y^9 is the answer

Answer:

b

Step-by-step explanation:

Answer:

Base is 5/6

Step-by-step explanation:

We calculate the area of a triangle by multiplying height to the base and that divided by two

Let's call the base X

5/36 cm^2 = 1/3 × X ÷ 2 multiply both sides of the equation by 2

2 × 5/36 = 1/3 × X ÷ 2 × 2

5/18 = X/3 now divide both sides by 3

5/18 ÷ 3 = X/3 ÷ 3

X = 5/6

Answer:

Answer: upstream: 5.2= (x-y) 5

Downstream: 5.2= (x+y) 2.5

Step-by-step explanation:

The equations for upstream and downstream motion for time [t] seconds are -

5.2 = (x - y) t

AND

5.2 = (x - y) t

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line in point slope form can be also written as-

[tex]y-y_{1}=m\left(x-x_{1}\right)[/tex]

We have the following problem -

Let x be the speed of Aro's paddling and let y be the speed of the river. Upstream: 5.2 = ( ) Downstream: 5.2 = ( )

We can write the equations for upstream and downstream motion for time [t] seconds as -

Upstream - (Opposing motion)

5.2 = (x - y) t

Downstream - (Supporting motion)

5.2= (x + y) (t/2)

Therefore, the equations for upstream and downstream motion for time [t] seconds are -

5.2 = (x - y) t

AND

5.2 = (x - y) t

To solve more questions on system of equations , visit the link below-

https://brainly.com/question/16308797

#SPJ2

Answer:

600

Step-by-step explanation:

Given

equation t = 6n

n is term number

we have to find 100th term.

Thus, term number is 100

substituting 100 in place of n in equation t=6n , we can find the value of 100th term

t = 6*100 = 600

Thus, 100th term is 600.

See the attached picture

Answer:

45

Step-by-step explanation:

(i just highlighting the answer from the other person's paper)

The equaitons are y = 25m + 33950 and y = 150m + 35700. Then the number of months will be 10 months. Then the correct option is B.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Let 'm' be the number of months and 'y' be the population. Then the equations are given as,

y = (125 - 100) m + 33,950

y = 25m + 33950          ...1

y = 150m + 35700          ...2

From equations 1 and 2, then we have

150m + 35700 = (125 - 100) m + 33950

125m - 100m + 33950 - 35700 - 150m = 0

175m = 1750

m = 10 months

The equaitons are y = 25m + 33950 and y = 150m + 35700. Then the number of months will be 10 months. Then the correct option is B.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ5

Answer:

B

Step-by-step explanation:

Expressing the ratios as fractions, that is

[tex]\frac{a}{b}[/tex] = [tex]\frac{3}{1}[/tex] ( cross- multiply )

a = 3b

[tex]\frac{b}{c}[/tex] = [tex]\frac{1}{5}[/tex] ( cross- multiply )

c = 5b

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

Given

[tex]\frac{2a+3b}{4b+3c}[/tex] , substitute values from above for a and c

= [tex]\frac{2(3b)+3b}{4b+3(5b)}[/tex]

= [tex]\frac{6b+3b}{4b+15b}[/tex]

= [tex]\frac{9b}{19b}[/tex] ← cancel b on numerator/ denominator

= [tex]\frac{9}{19}[/tex] → B

Answer:

1960

Step-by-step explanation:

8 out of 10 is 80% or 0.8. 0.8 * 2540 = 1960 students.

Answer:2032

Step-by-step explanation:

8 out of 10 is 80% or 0.8 then 2540 times 0.8=2023

Answer:

a is 1

Step-by-step explanation:

[tex]a+\dfrac{1}{a}=2[/tex]

Multiply both sides by a:

[tex]a^2+1=2a[/tex]

Move everything to one side:

[tex]a^2-2a+1=0[/tex]

Factor:

[tex](a-1)^2=0[/tex]

By the zero product rule, a is 1.

Therefore, the expression is true, because:

[tex](1)^2+\dfrac{1}{a^2}=a^4+\dfrac{1}{a^4}=1+1=2[/tex]

Hope this helps!

Answer:

Step-by-step explanation:

Translation: You move the shape by moving the points on the shape by the number, it changes the location of the shape.

Reflection: There is a line of reflection and the shape will be reflected by that, like a mirror, so it will be the same shape, same size.

Rotation: There is a point of rotation and the shape will just move around that point and will change the positioning if the shape. Always has coordinates

Answer:

D

Step-by-step explanation:

D is the correct answer, (-y, x)

Answer:

1/2 Is Greater

Step-by-step explanation:

If you have HALF of 100 you have have 50. If you have 1/100 of 100 you have 1. Therefore, 50>1, so 1/2 is greater.

Answer:

30396 fish.

Step-by-step explanation:

We are in 2020, that is, 15 years have passed since 2005, to calculate the population it would be:

The first year there would be 48,000, then each year it decreases by 3%, that is, the first one was like this:

48000 - 48000 * 0.03

That is to say:

48000 * (1 - 0.03)

Now, depending on the year number it would be:

48000 * (1-0.03) ^ n

But how were 15 years n = 15, then:

48000 * (1-0.03) ^ 15 = 30396.057

The fish population would be 30396 fish.

The correct answer is Pentagon 2 or B

Explanation:

In mathematics and related disciplines, a line of symmetry is a line that divides a figure, for example, a triangle, circle, or pentagon into two symmetrical or equal sides. This means you can fold the image following the line and both sides will be identical. This occurs in the second pentagon because the line that begins in the top of the figure divides it into two equal sides. Indeed each of the sides includes half of the base and two angles that coincide if you fold the figure following line.

Answer:

its b

Step-by-step explanation:

literally the only one you can fold in half