Mathematics High School

if x-y=9,x²+y²=27,then xy=?​

Answers

Answer 1

Answer:

xy = - 27

Step-by-step explanation:

Note that

(x - y)² = x² - 2xy + y² ← substitute given values, that is

9² = 27 - 2xy

81 = 27 - 2xy ( subtract 27 from both sides )

54 = - 2xy (divide both sides by - 2 )

- 27 = xy

Related Questions

If BE = 2x + 2, BD = 5x – 3, and AE = 4x – 6, what are the values of x and AC?

Answers

Answer: x=7 and AC = 44 unuts.

Step-by-step explanation:

We know that the diagonals of a parallelogram bisect each other. (i)

Here in parallelogram ABCD , AC and Bd are diagonals intersecting at E.

BE = 2x + 2, BD = 5x – 3, and AE = 4x – 6

Using (i)

[tex]BE=\dfrac{BD}{2}\\\\2x+2=\dfrac{5x-3}{2}\\\\ 2(2x+2)=5x-3\\\\ 4x+4= 5x-3\\\\ 5x-4x=4+3\\\\ x= 7[/tex]

Now , AE = 4(7)-6 = 28-6 = 22

AC =2 AE = 2 (22) =44 units.

Hence, x=7 and AC = 44 unuts.

Que entiedes por semirecta​

Answers

Answer:

What do you understand by semi-direct

Step-by-step explanation:

I need an answer for "−12x+y=10"

Answers

Answer:

If you need slope intercept, y = 12x + 10

i hope this helps

12x-y+10=0 that the awnser

If 2 > -a, then _____

Answers

Answer:

-2 < a

Step-by-step explanation:

which logarithmic equation is equivalent to 2^5=32

Answers

Answer:

5= log2(32)

Step-by-step explanation:

IT IS CORRECT! I took the test :)

Chloe compares the growth of plant species A and B. Part A What do the box plots tell you about the growth of a typical plant of each species? Choose the correct response. Plant B typically grows 1 cm taller than Plant A, since the range for Plant B is 1 cm greater. Plant B typically grows 1 cm taller than Plant A, since the IQR for Plant B is 1 cm greater. Plant A typically grows 1 cm taller than Plant B, since the median for Plant A is 1 cm greater. Plant A typically grows 1 cm taller than Plant B, since the mean for Plant A is 1 cm greater.

Answers

Answer:

Type A Type B

Median 52 grams 52 grams

Lower Quartile 49 grams 51 grams

Upper Quartile 57 grams 54 grams

Range 14 grams 8 grams

Interquartile Range 8 grams 3 grams

From this table we can see that both types of tomato have the same average mass because their medians are the same.

Comparing the medians and interquartile ranges shows that there is far more variation in the masses of the type A tomatoes, which means that the masses of type B are more consistent than those of type A.

However, comparing the two box and whisker plots, and the upper quartiles, shows that type A tomatoes will generally have a larger mass than those of type B.

Nevertheless, there will be some type A tomatoes that are lighter than any of type B.

Taking all this together, the gardener would be best advised to plant type A tomatoes in future as he is likely to get a better yield from them than from type B.

Step-by-step explanation:

Hi

calculate the volume of the rectangular prism below​

Answers

Answer:

210 in

Step-by-step explanation:

pls help.
I WILL MARK BRAINLIEST!

Answers

Answer:

c

Step-by-step explanation:

because if you look at the line below it it shows 180 degrees because it is a straight line if that makes sense. if not just trust me.

Im sorry- everyone is saying its C so- Uh... sorry :<

Can someone at least do letter A I don’t understand this

Answers

Answer:

10, opposing sides of a parrallelogram will have the same length

Step-by-step explanation:

given that FG = 10 , thus EH=FG=10

Answer:

EH is 10

Step-by-step explanation:

Parallelograms have congruent sides almost all of the time. so take the opposite side ( which is 10) and your answer!

The angle of elevation of the top of a tree from a point 100 meters from the foot of the tree is 36 degrees. How high is the tree?​

Answers

To answer this question we can think Soh Cah Toa. If we are 100 ft from the tree and at an angle of 36 degrees and we want what I call the rise we can us the Toa formula tan(36)=o/100 then manipulate algebraically until we get the following o=tan(36)(100) this give us the height (o) to be 72.65 meters

Because each roll has six possible even values (2, 4, 6, 8, 10, and 12) and only five possible odd values (3, 5, 7, 9, and 11), the dice should show even values more often than odd values. Do you agree with this statement? Explain.

Answers

lahdhd7svs7dhdhdydys

Given that B is the midpoint of AC, and E is the midpoint of AD, prove △ABE and △ACD are similar.

Options:
A. 1. B is the midpoint of AC¯¯¯¯¯ and E is themidpoint of AD¯¯¯¯¯. (Given)2. AB¯¯¯¯¯≅BC¯¯¯¯¯, AE¯¯¯¯¯≅ED¯¯¯¯¯ (Def. of mdpt.)3. ACAB=ADAE (Trans. Prop. of =)4. ∠A≅∠A (Reflex. Prop. of ≅)5. ΔABE∼ΔACD (AA∼)

B. 1. B is the midpoint of AC¯¯¯¯¯ and E is themidpoint of AD¯¯¯¯¯. (Given)2. AB¯¯¯¯¯≅BC¯¯¯¯¯, AE¯¯¯¯¯≅ED¯¯¯¯¯ (Def. of mdpt.)3. ACAB=ADAE (Trans. Prop. of =)4. ∠A≅∠A (Reflex. Prop. of ≅)5. ΔABE∼ΔACD (SAS∼)

C. 1. B is the midpoint of AC¯¯¯¯¯ and E is themidpoint of AD¯¯¯¯¯. (Given)2. AB¯¯¯¯¯≅ED¯¯¯¯¯, AE¯¯¯¯¯≅BC¯¯¯¯¯ (Def. of mdpt.)3. ACAB=ADAE (Trans. Prop. of =)4. ∠A≅∠A (Trans. Prop. of =)5. ΔABE∼ΔACD (AA∼)

D. 1. B is the midpoint of AC¯¯¯¯¯ and E is themidpoint of AD¯¯¯¯¯. (Given)2. AB¯¯¯¯¯≅ED¯¯¯¯¯, AE¯¯¯¯¯≅BC¯¯¯¯¯ (Def. of mdpt.)3. ACAB=AEAD (Reflex. Prop. of ≅)4. ∠A≅∠A (Trans. Prop. of =)5. ΔABE∼ΔACD (SAS∼)

Answers

Answer: B

Step by Step explanation:

plsss help ASAP!!!
BRAINLIEST

Answers

When x is -2 then y is 2

marking brainliest bc i need help

Answers

Answer:

x=35

Step-by-step explanation:

The answer is x=35.

the roman number of 30 is​

Answers

Answer:

XXX

Step-by-step explanation:

10+10+10 if that helps

Hi guys?
Please help
I will give brainliest ​

Answers

Answer:

your question is blard

i can see it sory

Answer:

Simplification :-

=》

[tex] \frac{3 {}^{20} }{3 {}^{19} } \times 3 {}^{3} [/tex]

=》

[tex]3 \times 3 {}^{3} [/tex]

=》

[tex] {3}^{4} [/tex]

you can write

[tex]3 {}^{4} [/tex]

as 81

Hi I really need help

Answers

Answers:

EG = 26 unitsangle IFG = 40 degrees

Input the numbers only.

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

Explanation:

In any rectangle the diagonals are the same length. Also, the diagonals cut each other in half (aka bisect).

This means EI and FI are the same length

EI = FI

4x+5 = 6x+1

4x-6x = 1-5

-2x = -4

x = -4/(-2)

x = 2

This then leads to

EI = 4x+5 = 4(2)+5 = 13FI = 6x+1 = 6(2)+1 = 13

Both are 13 units long to help confirm we have the correct x value.

If EI = 13, then EG = 2*EI = 2*13 = 26 since EG is twice as long as EI. This goes back to the fact that the diagonals cut each other in half.

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

If angle EIH is 100 degrees, then so is angle FIG (they are vertical angles).

Focus on triangle FIG. We just found that angle i = 100. This triangle is isosceles with FI = IG being the two equal sides. The angles opposite these congruent sides are angles F and G. Let's call them x for now.

So we have

i = 100F = xG = x

The three angles of this triangle add to 180

F+I+G = 180

x+100+x = 180

2x+100 = 180

2x = 180-100

2x = 80

x = 80/2

x = 40

So angle F, of triangle FIG, is 40 degrees

This is the same as saying angle IFG is 40 degrees.

Answer:

EG = 26 units

angle IFG = 40 degrees

Step-by-step explanation:

If a scale drawing of a room measures 5 inches by 6 inches, and the drawing is at 1:10 scale, how large is the actual room?

Answers

Answer:

n

Step-by-step explanation:n

help me pls i will mark as brainliest

Answers

Answer:

y. = 42

Step-by-step explanation:

The right side of the triangle is 48 and the top part is 90 degrees so then if you subtract 138 from 180 is would be 42

Evaluate (98 x 102) by using suitable identities.

Answers

Answer:

The answer is 9996

Step-by-step explanation:

Using the identity (x+a)(x+b) = x  ^2  +(a+b)x+ab

Writing 102 as 100+2 and 98 as 100−2

Hence (100+2)(100−2) = 100  ^2  +[2+(−2)]100+(2)(−2)

= 10000+(0)100−4

= 9996

The answer is 9996

Answer:

9996

Step-by-step explanation:

by using suitable identities ;

(98) × (102)(100 - 2) × (100 + 2)10000 - 49996

identity used here is :

[tex](a + b) \times (a - b) = (a {}^{2} - b {}^{2} )[/tex]

..........................

1
Write 15% as a fraction in simplest form:

Answers

Answer:

3/20

Step-by-step explanation:

15 / 100

divide both the numerator and denominator by 5: 3 / 20

Answer:

3/20 is it's simplest form.

Step-by-step explanation:

How can we solve this?

we know we can simplify this if we can divide the numerator and denominator by the same number.

15% is equal to 15/100.

15 divided by 5 equals 3.100 divided by 5 equals 20.

Therefore, 15/100 can be simplified to 3/20.

How many 1/4 unit cubes does it take to fill the prism?

Answers

Answer:

Each cube with side lengths of 1/4 have a volume of (1/4)3 which means each cube's volume is 0.015625 cubic units. To find how many cubes are needed to fill the prism, divide 3 cubic units by 0.015625 cubic units. Your answer will be 192 cubes.

Step-by-step explanation: Furthermore, how many 1/4 unit cubes does it take to fill the prism? Each cube with side lengths of 1/4 have a volume of (1/4)3 which means each cube's volume is 0.015625 cubic units. To find how many cubes are needed to fill the prism, divide 3 cubic units by 0.015625 cubic units. Your answer will be 192 cubes. you welcome

Please help me, this is due today and I'm very confused.. :l

Answers

Answer:

I don't see anything

Step-by-step explanation:

rynsggnegnegnhn

Answer:

There isn't anything there, thanks for the points though

Step-by-step explanation:

If y varies directly with x, and y= 10 when x = 5, find y when x 15.​

Answers

Answer:

30

Step-by-step explanation:

Set up the proportion y=kx k equals y over x

y=2x

y=30 if x is 15

Here is my answer y=30

Seth missed the due date for his credit card payment. His credit card company will
charge him $20 and an APR of 27%. What is the amount of interest he would have to
pay at the 27% APR?

Answers

20 x 1.27 = 25.4
so 27% APR will put him up to $25.4

I ONLY HAVE LITTLE TIME PLZ HELP
Which statement correctly identifies the line of reflection?
A.The triangles are reflected across the X-axis
B.The triangles are reflected across the Y-axis
C.The triangles are reflected across the line Y=X
D.The triangles are reflected across the line Y=-X

Answers

Answer: C , triangles reflected across the line Y=X

Explanation: The line Y=X intersects through the origin and has a slope of positive 1, so if you imagine that line on the graph shown, you're able to see how the triangles are reflected across it.

Also, when the X and Y coordinates are "flipped" for each triangle, you can tell that it's reflected across Y=X. For example, the point at the right angle for the red triangle is (1,-1), while the corresponding point on the black triangle is at (-1,1), "flipping" the coordinates.
Hope this helps!!! :)

Juan rides his bike 30 miles in 8 hours. At this rate how many miles does he ride his bike
in 2 hours?
1.8 miles
15 miles
30 miles
7.5 miles

Answers

Answer:

answer is 7.5 miles

Step-by-step explanation:

30/8=3.75 mi in one hour

3.75*2=7.5 miles in 2 hours

hope it helps

Simplify the expression. 4√768x8y5

Answers

Answer: 64x^4 y^2 √3y

by-step explanation:

This mean ^ the mini number that goes on top hope this helps.

Answer:

B. [tex]4x^2y\sqrt[4]{3y}[/tex]

Step-by-step explanation:

I just took the quiz #platofam

The perimeter of a parallelogram whose parallel sides have lengths equal to 12 cm and 7cm is: ​

Answers

The answer is 38cm, hope this helps

What is the volume of a cube with a side length of 3t5units?

Cube V = s3

3t8 units3
9t15 units3
27t15 units3
243t5 units3

Answers

Answer:

C;27t15 units3

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

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