Mathematics High School

Please help with systems of equations need super urgent
*Check the pic*

Please Help With Systems Of Equations Need Super Urgent*Check The Pic*

Answers

Answer 1

Answer:

y = ±5

x = ±6

Step-by-step explanation:

Here we have the system:

x^2 + y^2 = 61

x^2 - y^2 = 11

Notice that we have both variables squared, then we can define:

x^2 = X

y^2 = Y

And write our system as:

X + Y = 61

X - Y  = 11

To solve this, the first step is to isolate one of the variables in one of the equations, i will isolate X in the second equation:

X = 11 + Y

Now we can replace this in the other equation to get:

(11 + Y) + Y  = 61

Now we can solve this for Y

11 + 2*Y = 61

2*Y = 61 - 11 = 50

Y = 50/2 = 25

Y = 25

And remember that Y = y^2

then:

y^2 = 25

y = √25 = ±5

And using the equation: X = 11 + Y

X = 11 + 25 = 36

X = x^2 = √36 = ±6

Related Questions

4.8-2/5(w-6)
mathematic equation

Answers

Answer:

[tex] \frac{0.56}{w - 6} [/tex]

Step-by-step explanation:

1) Simplify 4.8 - 2 to 2.8.

[tex] \frac{2.8}{5(w - 6)} [/tex]

2) Simplify.

[tex] \frac{0.56}{w - 6} [/tex]

Therefor, the answer is 0.56/w-6.

1. A company buys a digital scanner for $12,000. The value of the scanner is 12,000 (1 – 3) after n years. The
company has budgeted to replace the scanner when the trade-in value is $2,400. After how many years should the
company plan to replace the machine in order to receive this trade-in value?

Answers

Sorry not sure. :(((((

24=×+7 ayudenme por favor :) ​

Answers

Answer:

24 -7 = x+7-7

17 = x

x = 17

so the solution set of

x is x = 17

what is 6 x 3/5.................................................................................................................

Answers

Answer

3.6

Step-by-step explanation:

3/5 is equal to .6 so multiply 6x.6

what is the sum of the interior angle measures of a polygon that has 20 sides

Answers

Answer:

3240°

Step-by-step explanation:

Formula is ( 2n-4)90° where n is the no of sides

(2×20-4)90°

(40-4)90°

36×90

3240°

B-19=-11. What is the B? Plz help

Answers

Answer:

8

Step-by-step explanation:

b - 19 = - 11

b = -11 + 19

b = 8

Hal read 114 pages of his book during vacation. This was 60 percent of the book. How many pages does Hal have left to read

Answers

Answer:

76

Step-by-step explanation:

Let number of pages=x

60% of x=114

x=114×100/60=190

pages left=190-114=76

Help ASAP
1. Andre and Mai leave the post office at the same time. They walk in opposite directions. Andre walks 50 feet, and Mai walks 30 feet. When they stop walking, how far apart are they? Explain or show your reasoning.


2. A ribbon is 24 inches long. You need to cut it into pieces so that all the pieces are the same length.

A. Can you cut the ribbon into 5-inch pieces?

B. What are all the possible whole-number lengths of the equal-length pieces?

Answers

21 feet for number 1 where Andre and mai are walking

Can you guys help me with this please it suppose to use the synthetic substitution or the remainder theorem.

Answers

Answer:

x=17554456775432209765443

The probability of rolling a number cube and getting a 6 and 3.

Answers

We have to find out the probability of getting 6 and 3,

Since this only one roll it is not possible to get 2 numbers in one roll

So, I will presume you want the probability of getting 6 or 3,

Total number of outcomes= {1,2,3,4,5,6} = 6 outcomes

Number of favorable outcomes = {3,6} = 2 outcomes

Probability of rolling 6 or 3 = [tex]\frac{Number'of 'favorable' outcomes}{Total' number 'of' outcomes}[/tex]

= 2/6

= 1/3 or 0.33333%

Therefore the probability of rolling 6 or 3 is one in three chances

Happy to help :)

If u have any doubts or questions , feel free to ask

Which of the following sets of numbers could represent the
lengths of the sides of a triangle?
A 2, 2,5
B 3,3,5
C 4,4,8
D 5,5, 15

Answers

Answer:

b i think tell me if i am wrong.

Step-by-step explanation:

What is the slope of points (2,-15) and (-3,10).

Answers

Answer:

m = 5

Step-by-step explanation:

I believe you are asking, "What is the slope of the line passing through the points (2, -15) and (-3, 10)?"

As we go from (-3, 10) to (2, -15), x (the horizontal leg of a right triangle) increases by 5 (this is the 'run'), and y (the vertical leg) increases by 25 (the 'rise').  Thus, the slope of this line is

m = rise / run = 25/5, or just 5.  m = 5

The ounces of yellow paint, y, needed to mix with x ounces of blue paint to make a certain shade of green paint can be represented by the equation y = 1.5x. What is the constant of proportionality of the equation? Calculator​

Answers

Answer:

Step-by-step explanation:

A proportional constant satisfies

y/x=k, where k is the constant of proportion

Since

y/x=k

y=kx

You are given

y=1.5x so

k=1.5

Andros has an oil fired heating system. In 30 days period he used a full tank of oil at a constant rate per day . At a different time of the year the amount of oil andros uses per day is 1/3 of the rate used in 30 days period . How many days should a full tank of oil last at this new rate

Answers

Answer:

90 days

Step-by-step explanation:

Let the rate per day for the 30 days period be x

Given that the rate drops to 1/3 of the rate used in 30 days period, it means that the new rate

= 1/3 x

If at a rate of x, the full tank runs for 30 days

at a rate of 1/3 x, the full tank would run for

= x/ (1/3 x) * 30 days

= 3 * 30 days

= 90 days

At the new rate, the full tank of oil will last for 90 days

Write the ratios for sin A and cos B. 10 AC, 24 CB, 26 BA

Answers

Answer:

acdc

Step-by-step explanation:

please help me, I'm stuck on the second one. ​Also for i) i got angle ABD because angles in a semicircle measures 90 degree and OAX because the angle between the tangent and a radius is 90 degrees

Answers

Answer:

i)

DA is diameter and AX is tangent to circle

Your answer is correct

m∠ABD = 90°, m∠DAX = 90°

ii)

Given m∠BAX = 42° and ∠DAB is complementary with BAX ⇒

m∠DAB = 90° - 42° = 48°

DC = BC ⇒ intercepted arcs are same ⇒

∠CDB = ∠BDC

mDC = mCB ⇒ mDCB = ∠DAB = 48° ⇒

m∠CDB = m∠BDC = 1/2*48 = 24°

iii)

∠CBA

∠CBA is supplementary with ∠ADC as opposite angles of cyclic quadrilateral (∠ADB = ∠BAX = 42°)

m∠ADC = m∠ADB  + m∠CDB = 42° + 24° = 68°m∠CBA = 180° - m∠ADC = 180° - 68° = 112°

∠BAE

EA║CB and AB is transversal ⇒ CBA and BAE are supplementary angles:

m∠BAE = 180° - 112° = 68°

∠DCE

∠DCE = ∠DCB - ∠BCEm∠DCB = 180° - m∠DAB = 180° - 48° = 132°m∠BCE = 180° - m∠BAE = 180° - 68° = 112°∠DCE = 132° - 112° = 20°

how to slove cos 41=x/11

Answers

41=x/11

x=41×11

= 451

so the answer is 451

hope it hekps

Answer:

x=451

Step-by-step explanation:

41= x /11

(41)*(11)=( x /11 )*(11)

451=x

I WILL GIVE BRAINLIEST 5 STARS AND A HEART PLEASE HELPPPP

Answers

Answer:

140  square feet

Step-by-step explanation:

The total area can be calculated by splitting this irregular shape into two quadrilaterals.

In this case, I am splitting it horizontally, but you can do it vertically and get the same answer!

I'm left with a 10 by 8 ft rectangle and an 15 by 4 ft rectangle. So, the total area is equivalent to:

[tex]10*8 + 4*15\\80 + 60\\=140[/tex]

Have a nice day. Spread The Love!

Marcello is investigating plant growth. The flowers he planted in his garden were expected to grow two inches in one year. This year there was more rainfall, so the flowers grew three inches. What percentage more did the flowers grow than was expected?
25%
50%
75%
100%

Answers

Answer:

50%

Step-by-step explanation:

it was predicted to grow 2 inches and that would be 100% each inch is 50% it grew one inch more than predicted so it grew 50% more

A cone with a volume of 1152π cubic meters has a radius of 12 meters. Which of these statements is correct?

Select one:

Its height is two thirds the length of its radius.

The length of its radius is twice its height.

The length of its radius is two thirds its height.

Its height is twice the length of its radius.

Answers

Answer:

Step-by-step explanation:

B

Answer: it’s hight is twice the length of its radius

Step-by-step explanation:

Write a word equation for 24 = 3x

Answers

twenty four equals three x

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

Answers

Answer:

20.94 cm^3

Step-by-step explanation:

Volume of cone = 1/3 (pi r^2 h)

V = 1/3 (pi 2^2 × 5)

=20.94 cm^3

If there is 45 ml of milkshake left .She used 1 part strawberry cream to 4 parts milk .How many ml of milk is left?

Answers

Given:

Remaining milkshake = 45 ml

She used 1 part strawberry cream to 4 parts milk.

To find:

The remaining amount of milk.

Solution:

It is given that, she used 1 part strawberry cream to 4 parts milk. It means the ratio of strawberry cream and milkshake is 1:4.

Let the remaining amount strawberry cream be x and the remaining amount of milk is 4x. Then,

[tex]x+4x=45[/tex]

[tex]5x=45[/tex]

[tex]x=\dfrac{45}{5}[/tex]

[tex]x=9[/tex]

Now, the remaining amount of milk is:

[tex]4x=4(9)[/tex]

[tex]4x=36[/tex]

Therefore, the remaining amount of milk is 36 ml.

What is the correct answer choice?

Answers

Answer:

the answer is J

Step-by-step explanation:

f(x) = (3)^2 - 8 = 9-8-1

f(x)= (7)^2 - 8 = 49 - 8 = 41

1 <= f(x)<= 41

A bakery sold 147 chocolate cupcakes in a day, which was 49% of the total number of cupcakes sold that day. How many total cupcakes did the bakery sell that day?

Answers

Answer:300

Step-by-step explanation:

What is the common ratio for this geometric sequence!
27, 9, 3, 1, ...

Answers

Answer:

1/3

Step-by-step explanation:

The ratio is 1/3 because it's just like dividing 27/3 = 9  and so on.

Simplify.
410
44
QU
4-6
Ob
16
ос
44
Od
46
ID
Don't know

Answers

Answer:

4⁶

Step-by-step explanation:

10 - 4 = 6

In terms of it, how much longer is the crust on a pizza with a radius of 10 in, than the crust of a pizza with a radius
of 5 in.?

Answers

Answer:

10

Step-by-step explanation:

10-5

Answer:

10

Step-by-step explanation:

Solve for x, 2-x= -6-4x
a . -2/3
b.-2/5
c-8/3
d.-8/5​

Answers

Answer:

-8/3

Step-by-step explanation:

2 - x = - 6 - 4x      <-- Add 4x to the left side

2 + 3x = - 6          <-- Subtract 2 from the left side

3x = -8             <-- Divide 3 on both sides

x = -8/3

Answer:

x = -8/3

Step-by-step explanation:

Consolidate x terms on the right side:

2-x= -6-4x becomes 2-x + x = -6-4x + x, which in turn becomes:

2 = -6 - 3x, or 3x = -8.  Then, dividing both sides by 3, we get x = -8/3

What is the median of 1,1,2,3,4,7,8,8

Answers

Answer:

3.5

Step-by-step explanation:

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