school x and school y play each other in a competition
school x has eight more than school y
school x has three times as many points as school y.

how many points does each school have ?

Answer:

  y = -1.2x² +6.6x +2

Step-by-step explanation:

The quadratic regression function of a calculator or spreadsheet can do this for you. The resulting function is ...

  y = -1.2x² +6.6x +2

_____

If you want to do this by hand, put the given (x, y) values into the formula ...

  ax² +bx +c = y

and solve the resulting system of equations.

The third point tells you c=2, so you can simplify the system of equations to ...

  a(-2)² +b(-2) +2 = -16   ⇒   4a -2b = -18   ⇒   2a -b = -9

  a(3)² +b(3) +2 = 11   ⇒   9a +3b = 9   ⇒   3a +b = 3

Adding these equations together gives ...

  (2a -b) +(3a +b) = (-9) +(3)

  5a = -6 . . . . . . . . simplify

  a = -1.2 . . . . . . . divide by 5

  b = 3 -3a = 3 -3(-1.2) = 6.6 . . . . from the second equation

Now we know the coefficients are a=-1.2, b=6.6, c=2, so the function is ...

  y = -1.2x² +6.6x +2

Answer:

Step-by-step explanation:

18.

LHS

[tex]\frac{cos^{2}a-sin^{2}b }{sin^{2}a.sin^{2}b}[/tex]

= [tex]\frac{cos^{2}a }{sin^{2}a.sin^{2}b} -\frac{sin^{2}b }{sin^{2}a.sin^{2}b}[/tex]

= [tex]\frac{cos^{2}a}{sin^{2}a}[/tex] × [tex]\frac{1}{sin^{2}b}[/tex] - [tex]\frac{sin^{2}b}{sin^{2}b}[/tex] × [tex]\frac{1}{sin^{2}a}[/tex]

= [tex]cot^{2}a[/tex] × [tex](1+cot^{2}b)[/tex] - 1 × [tex](1 + cot^{2}a)[/tex]

= [tex]cot^{2}a[/tex] + [tex]cot^{2}a.cot^{2}b[/tex] - 1 - [tex]cot^{2}a[/tex]

= [tex]cot^{2}a.cot^{2}b[/tex] - 1

Then you can conclude that LHS = RHS

19. It's weird. I tried a few ways like simplifying, dividing both numerator and denominator on LHS by tan or sin or cos but it didn't work out.

Answer:

Step-by-step explanation:

Intersecting chords theorem:

Substitute values and solve for OS:

Correct choice is B

Answer:

Let x and y be the numbers, with x the larger one.

x - y = 5

2y = x + 18

Then solve this system of equations:

x - y = 5

x - 2y = -18

Subtract bottom equation from top equation and get

y = 23

So x = y + 5 = 23 + 5 = 28

Answer:

m = -3

c = 2

Step-by-step explanation:

if m = slope and c = y-intercept:

Convert to slope - intercept form : y = mx + b, or y = mx + c

2y + 6x = 4

2y = -6x + 4

y = -3x + 2

(m)Slope = -3

(c)y - intercept = 2

-Chetan K

Answer:

Step-by-step explanation:

6x + 5 = 4x + 45

6x - 4x = 45 - 5

2x = 40

x = 20

6x + 5 = 6.20 + 5 = 125°

Answer:

x=121

Step-by-step explanation:

Answer:

x = 121°

Step-by-step explanation:

180 - 115 = 65°

The angle beside 115° is 65°.

A full circle is 360° so

360 - 304 = 56°

Add the two angles

65 + 56 = 121°

Subtract it to 180° to find the other angle

180 - 121 = 59°

Now subtract again to 180° to find the angle in the other side

180 - 59 = 121°

Answer:

a = b² + 3c

Step-by-step explanation:

The square of the number b is b² and 3 times c is 3c , then

a = b² + 3c

Answer:

for line b - the slope is 0, not undefined. an undefined slope is a vertical line.

for line d - the slope is -1/3. slope is written rise over run, so just count the units that it goes down and how many it goes right. it goes down 1 and right 3, so it is -1/3.

Answer:

how am I supposed to graph?

Step-by-step explanation:

Answer:

There is no Question or no images...

Step-by-step explanation:

Answer:

1) 9/10 + 4/5 + 5/6 = 2 8/15

2) 14/15 + 2/9 + 1/5 = 1 16/45

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

Solution:

[tex] \bold{1)} \: \tt \frac{9}{10} + \frac{4}{5} + \frac{5}{6} \\ \\⟹ \tt \frac{9}{10} + \frac{4}{5} \\ = \tt \frac{9 \times 1}{10 \times 1} + \frac{4 \times 2}{5 \times 2} = \frac{9 + 8}{10} = \frac{17}{10} \\ \\ ⟹\tt \frac{17}{10} + \frac{5}{6} \\ = \tt \frac{17 \times 3}{10 \times 3} + \frac{5 \times 5}{6 \times 5} = \frac{51 + 25}{30} = \frac{76}{30} \: or \: 2 \frac{16}{30} = 2 \frac{8}{15} \\ \\ \\ \\ \bold{2)} \tt \: \: \frac{14}{15} + \frac{2}{9} + \frac{1}{5} \\ \\⟹ \tt \frac{14 \times 3}{15 \times 3} + \frac{2 \times 5}{9 \times 5} = \frac{42 + 10}{45} = \frac{52}{45} \\ \\⟹ \tt \frac{52}{45} + \frac{1}{5} \\ = \frac{52 \times 1}{45 \times 1} + \frac{1 \times 9}{5 \times 9} = \frac{52 + 9}{45} = \frac{61}{45} = 1 \frac{16}{45} [/tex]

False

9 + 13 = 31

22 ≠ 31

Answer:

22

Step-by-step explanation:

po ang tamang sagon po

Answer:

Step-by-step explanation:

[tex]\frac{6}{4.5}=\frac{4}{x}[/tex]

6x = 4 × 4.5

6x = 18

x = 3

Answer:

Elena is incorrect.

Step-by-step explanation:

In the first step, the figures are supposed to be about the same size. But the reflection over AE does not match them together. The correct line must be vertical and it has to go through point D.

If I'm correct, the scale copy should be 2.

∴/therefore, if it doesn't go through point D, Elena is incorrect.

Mark me brainliest if possible, it's always appreciated! ¯\_(ツ)_/¯

-❤AbqveNatural❤

Answer:

forty six hundred thousand tweny five thound and six hundred eighty nine

six hundred and fifty eight hundred nine thoundsand two and two hundred and fifty

Step-by-step explanation:

Answer:

Can you pls give a bit more information.

Step-by-step explanation:

Answer:

A rectangle doesn't have equal sides

Both sides are not equal

Answer:

8(3x + 1)

Step-by-step explanation:

8 and 24 are multiples of 8

(8/8) + (24x/8) = 1 + 3x

The equation with distributive property is 8(1 + 3x)

-Chetan K

Answer:35 m

Step-by-step explanation:

North: 5+6+4. East: 4+16. 15+20

Answer:

$16.48

Step-by-step explanation:

Split this up into the four years.

For the first year, multiply 200 x .02 to get 4

Add 4 onto your total. ($204.00)

For the second year multiply 204 x .02 to get 4.08

Add 4.08 onto your total. ($208.08)

For the third year multiply 208.08 x .02 to get 4.1616 but round to 4.16

Add 4.16 onto your total ($212.24)

For the fourth year multiply 212.24 x .02 to get 4.2448 but round to 4.24

Add 4.24 onto your total (216.48)

Now subtract 200 from your total

216.48-200 = 16.48

She will be payed $16.48 in interest.

here is answer

- BRAINLIEST answerer

The ∆ABC ~ ∆DEF by AA similarity Criteria.

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent.

Two angles in ∆ABC and their equivalent angles in DEF are congruent.

Hence, it follows that the triangles' third pair of angles would likewise be similar.

So, the three sides of ∆ABC and corresponding sides of ∆DEF will be proportional to each other.

Then here the AA Similarity Criterion will be used.

Thus, ∆ABC ~ ∆DEF by AA Similarity rule.

Learn more about similarity here:

https://brainly.com/question/25502802

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Answer:

900 seconds I believe

Step-by-step explanation:

60*6= 360

9*60=540

540+360=900

Answer:

x = 40°

y = 30°

Step-by-step explanation:

Given parallelogram ABCD :

∠A = ∠C

3x = 120

x = 120 ÷ 3

∠B + ∠C = 180°

2y + 120 = 180

2y = 180 - 120

2y = 60

y = 60 ÷ 2

Answer:

x = 40°

y = 30°

Step-by-step explanation:

Given the diagram of a parallelogram, where:

∠A = 3x°, ∠B = 2y°, and ∠C = 120°

The given problem also requires us to find the values of x and y.

In reference to the Parallelogram Opposite Angles Theorem, where it states that: if a quadrilateral is a parallelogram, then it will have congruent opposite angles.  In other words, ∠A ≅ ∠C , and ∠B ≅ ∠D.

Hence, we can establish the following equality statement to solve for the value of x:

m∠A = m∠C

3x° =  120°

Divide both sides by 3 to solve for x:

[tex]\displaystyle\mathsf{\frac{3x^{\circ}}{3}=\:\frac{120^{\circ}}{3}}[/tex]

x = 40°

Therefore, the value of x = 40°.

In order to solve for y, we must refer to the Parallelogram Consecutive Angles Theorem, where it states that if a quadrilateral is a parallelogram, then its consecutive angles are supplementary whose sum add up to 180°.

In the given diagram, ∠A and ∠D, ∠B and ∠C are consecutive angles.  

We can establish the following equation to solve for the value of y:

m∠B + m∠C = 180°

2y° + 120° = 180°

Subtract 120° from both sides:

2y° + 120° - 120° = 180° - 120°

2y° = 60°

Divide both sides by 2 to solve for y:

[tex]\displaystyle\mathsf{\frac{2y^{\circ}}{2}=\:\frac{60^{\circ}}{2}}[/tex]

y = 30°

Therefore, the value of y = 30°.

Answer:

2038 that's a answer po because hindi kasali ang 10

The exponent is represented as [tex]A=2*10^{4}[/tex] where the resulting quotient has 10 raised to the power of 4.

Given data:

To perform the given division of  [tex]A=\frac{4*10^{2}}{2*10^{-2}}[/tex] , we can use the properties of exponents and arithmetic operations.

When dividing numbers with the same base (in this case, 10), we subtract the exponent in the denominator from the exponent in the numerator:

So, the exponent is represented as A.

The exponential form of a number is a way of representing a number using exponents, where the base is typically a number greater than 1.

Now, the value of  [tex]A=\frac{4*10^{2}}{2*10^{-2}}[/tex].

Now, simplify the exponent expression:

[tex]A=\frac{4*10^{2+2}}{2}[/tex]

[tex]A=2*10^{4}[/tex]

Hence, the exponential form is [tex]A=2*10^{4}[/tex].

To learn more about exponential form, refer:

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Answer:

160

Step-by-step explanation: