In the figure, parallelogram PQSR and Triangle PQT are standing
on the same base and between, the same parallel lines. The
area of triangle PQT is 50 cm?. Find the area of Triangle PRS.

Answer:

( 5 , − 1 )

Step-by-step explanation:

Answer:

2x  + 3 )(x   + 2 )

Step-by-step explanation:

2x² + 7x + 6          

Find two numbers multiplied together to get 6

and if you multiply one by 2, the answer is 7:

Tested:                                  

6 & 1  but 6 · 2 + 1 = 13 or 6 + 2 · 1  = 8 No

2 & 3  and 2 · 2 + 3 = 7    Yes

2x² = 2x  & x

 all signs are positive

   trinomial  factoring  (            )(            )

                                     (     +     )(      +    )

    2 and 3 are the numbers to use    (2x  + 3 )(x   + 2 )   or     (2x + 2) (x + 3)

The largest number goes with the 2x.

Therefore (2x  + 3 )(x   + 2 )

Check 2x(x + 2) + 3(x + 2)

              2x² + 4x + 3x + 6

              2x² + 7x + 6         checked                            

Answer:

11[tex]x[/tex]+6

Step-by-step explanation:

2[tex]x^{2}[/tex]= 4[tex]x[/tex] because 2 *2 = 4 + x = 4[tex]x[/tex]

since 7[tex]x[/tex] is a like term we add it to 4[tex]x[/tex] and it becomes : 11[tex]x[/tex]

Since 6 does not have a variable we do not add anything to it so, it stays the same and the simplified expression becomes : 11[tex]x[/tex] + 6

Answer:

After 7 seconds it hits the ground.

h= -16^2 + 80x + 224

(I'm assuming this is what you meant, because these problems are generally quadratic)

Use quadratic formula to find when it hits the ground (get zeros)

x = -2, x = 7

After 7 seconds it hits the ground.

You would pay $14,583.33 per month if you divided the mortgage amount into equal monthly payments.

To calculate the additional amount you would have to pay per year to make 13 mortgage payments instead of 12, we need to determine the monthly mortgage payment first.

Using the formula for a fixed-rate mortgage:

[tex]M = \dfrac{P(r(1 + r)^n)} { ((1 + r)^n - 1)}[/tex]

M = P(r(1 + r)^n) / ((1 + r)^n - 1)

Here:

M = Monthly mortgage payment

P = Principal amount (mortgage amount)

r = Monthly interest rate (annual interest rate / 12)

n = Total number of payments (number of years × 12)

Let's calculate the monthly mortgage payment first:

P = $175,000

r = 6% / 12 = 0.005

n = 30 × 12 = 360

[tex]M = 175,000 \times\dfrac{ (0.005(1 + 0.005)^{360})}{ ((1 + 0.005)^{360} - 1)}[/tex]

M = $1,049.91

With a monthly mortgage payment of $1,049.91, we can calculate the additional amount you would need to pay per year to make 13 payments instead of 12.

Additional payment per year = Monthly payment × 12 - Monthly payment

Additional payment per year = $1,049.91 × 12 - $1,049.91

Additional payment per year = $12,599.92 - $1,049.91

Additional payment per year = $11,550.01

Therefore, you would need to pay $11,550.01 extra per year to make 13 mortgage payments instead of 12.

Now, let's calculate the amount you would pay if you made equal monthly payments throughout the year (1/12 of the mortgage amount per month).

Amount paid per month = Mortgage amount / 12

Amount paid per month = $175,000 / 12

Amount paid per month ≈ $14,583.33

Thus, you would pay $14,583.33 per month if you divided the mortgage amount into equal monthly payments.

Learn more about mortgage repayment here:

https://brainly.com/question/15063865

#SPJ12

Answer:

[tex]ax+ay=k; a\ne0, k\ne2a[/tex]; line D in the options.

Step-by-step explanation:

The set of equations has no solutions if the two lines are parallel. A quick way to create a parallel line is to solve for y, put it in slope-intercept form. Else, as long as the cofficient of x and y are in the same ratio (in this case 1:1), the two lines are parallel, you just have to be careful not to pick the same line again!

The condition [tex]a\ne 0[/tex] makes sure you are still getting lines (else you would get rid of both x and y); the condition [tex]k\ne 2a[/tex] makes sure you're not picking line A again, just written in a different form.

Now that we have the options:

A and C have a different ratio for the coefficient of x and y (2:1 and 1:2) so are not good.

Choice B is just a more complicated way to write the same line, you can see by dividing both sides by 2 and get back x+y=2.

Line D is correct.

Answer:

B

Step-by-step explanation:

-25,- 10, -3, 0, 5, 7, 25

Answer:

It's a rotation of 90 degrees - doesn't matter which way - around the intersection of the two lines

Step-by-step explanation:

Claim: it's a 90 degree rotation around the intersection of f and g.

It's easy to spot the two lines  are perpendicular. Let's assume the rotation doesn't happen at the point of intersection [tex]x_0[/tex], but slightly to the side, around let's say, [tex]x_0+\epsilon[/tex]; the new line will coincide with [tex]g(x)[/tex] if and only if [tex]\epsilon = 0[/tex], ie only the rotation happens around the intersection.

Answer:

It can not be rounded to the nearest millionths bc there is not millionths place in the decimal

Step-by-step explanation:

Answer:

15°

Step-by-step explanation:

Rotation - Rotation is a plane transformation that rotates every point in a figure through a given angle and direction on a fixed point.

Transformation - Transformation is a process that alters the shape and or position of a point, a line, or a geometric figure.

Translation - Translation occurs when a figure is relocated from one position to another without changing its size, shape, or orientation.

Dilation - Dilation is a transformation that alters the size of a figure, whether enlarging or shrinking it, but it has no effect on the shape of the figure.

Angle of Rotation - Angle of Rotation is the amount that a figure is rotated about a fixed point referred to as the point of rotation.

Line of Reflection - Line of Reflection is a transformation in which each point in a shape appears at an equal distance on the opposite side of a given line.

Hope this helps!!

Answer:

it is D

UR WELCOME

Answer:

C

Step-by-step explanation:

Substitute the values of x into y and evaluate , that is

x = - 27 → y = [tex]\sqrt[3]{-27}[/tex] = - 3

x = 0 → y = [tex]\sqrt[3]{0}[/tex] = 0

x = 27 → y = [tex]\sqrt[3]{27}[/tex] = 3

The values of y that complete the table are

- 3, 0, 3 → C

Answer:

.25 dollars or 25 cents

Step-by-step explanation:

128/2=64                         32/2=16

64/2=32                          16/2=8                        

32/2=16                           8/2=4

16/2=8                             4/2=2

8/2=4                               2/2=1

4/2=2                               1/2=(1/2)

2/2=1                                (1/2)/2=(1/4)

1/4 of 1 dollar is 25 cents

Answer:

If you end up with the exact opposite of what you started with (that is, if f (–x) = –f (x), so all of the signs are switched), then the function is odd.

Step-by-step explanation:

Answer:

FOURTH ONE DOWN

Step-by-step explanation:

Basically the the format is (vertical / horizontal), so CB and AD are both gonna be denominators (the bottom of the fraction).

** also next time please take a better picture i had to squint my eyes so hard **

Answer:

1.6 x 10^-6.

Step-by-step explanation:

a) Work out (8 x 10^-3)(2 x 10^-4)

= 8 x 2 x 10^(-3 + -4)

= 16 x 10^-7

Convert this to standard form by dividing the first part by 10 and multiplying the second by 10.

= 1.6 x 10^-6.

Answer:

15 is the answer

Step-by-step explanation:

If it was designed as an alternate angle, then it would 63 degrees

Answer:

1/2.....9......all real numbers......y > 0

Step-by-step explanation:

got this right on edge 2021. hope this helps

Answer:

The initial value is

✔ 1/2

.

The simplified base is

✔ 9

.

The domain is

✔ all real numbers

.

The range is

✔ y > 0

.

Step-by-step explanation:

Answer:

1,2,3,6,9,18,27,54

Step-by-step explanation:

1 x 54 = 54

2 x 27 = 54

3 x 18 = 54

6 x 9 = 54

9 x 6 = 54

18 x 3 = 54

27 x 2 = 54

54 x 1 = 54

Answer:

4 dollars 8 dimes 8 pennies

Step-by-step explanation:

Answer:

Each pen costs $1.22, which means that you would have to drag a $1 bill, 2 dimes, and 2 Penny's into the box.

Answer:

8

Step-by-step explanation:

HF and DE are parallel to each other ( since corresponding angles are equal = 90°) .

Hence the smaller and the larger triangle will be similar to each other.

Also we know the corresponding sides of similar triangles are proportional .

=> 10 / z = 10+5/12

=> 10/z = 15/12

=> z = 10 *12/15

=> z = 8 yards

Answer:

8

Step-by-step explanation:

Answer:

Yes, P(A) = P(A|B)

Step-by-step explanation:

The context of the question is incomplete but I've assumed logically what it might be;

Whether a traveller flies or doesn't fly to their destination is unrelated to whether they home share or not;

Therefore, they are independent;

Independent events are events where the outcome of one event has no effect on the probabilities of the outcomes from a second event;

This can be represented mathematically as: P(A) = P(A|B);

The corollary of this is P(B) = P(B|A);

A common example easily understood would be if you flip a coin, there is a 50% chance of heads and 50% chance of tails;

If I flip and gets a heads first, the probability of getting a heads or tails on the second, third or tenth flip is going to be unchanged, i.e. 50% chance of heads and 50% chance of tails

Answer:

5 + (-5) and 8 + (-8)

Step-by-step explanation:

Sum of zero means when you add them you get 0

so the others are wrong

-5 + (-5) = -10 because you have -5 and you add another -5

-12 + (-12) = -24 you start with -12 and you add another -12

Think of positive and negative numbers like floors in a building. Positive numbers are the stories and the negative numbers are the basement and sub-basement, zero is the ground level. So for 5 + (-5) you go up 5 floors, then you go down 5 floors. you end up on the ground level, 0.

Answer:

2+2=5

Step-by-step explanation: