MATHEMATICS HIGH SCHOOL

Which pair of fractions is equivalent to this pair? 2/9
and
3/7

A.

2/63
and
3/63

B.

7/63
and
9/63

C.

14/63
and
27/63

D.

18/63
and
21/63

Answers

Answer 1

Answer: C is the correct abswerm

Answer 2

Answer:

Answer:

C is the correct

Step-by-step explanation:

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9. Nick has desigied a diamond-shaped kite as shown below. The measures of so me sides of the kite, are marked in thefigure. Find the value of x (JUSTIFY)

Answers

Answer:

$x=(10√(6))/(7)\ in$

Step-by-step explanation:

step 1

In the right triangle DOC

Find the measure of side DO

Applying the Pythagoras Theorem

$DC^(2)=DO^(2)+OC^(2)$

substitute the given values

$7^(2)=DO^(2)+5^(2)$

$DO^(2)=7^(2)-5^(2)$

$DO^(2)=49-25$

$DO^(2)=24$

$DO=2√(6)\ in$

step 2

In the right triangle DOC

Find the sine of angle ∠ODC

sin(∠ODC)=OC/DC

substitute

$sin(ODC)=5/7$ -----> equation A

step 3

In the right triangle DOP

Find the sine of angle ∠ODP

sin(∠ODP)=OP/DO

substitute

$sin(ODP)=x/2√(6)$ -----> equation B

step 4

Find the value of x

In this problem

∠ODC=∠ODP

equate equation A and equation B

$5/7=x/2√(6)$

$x=(10√(6))/(7)\ in$

Mina has £3.20. If she gives half to her brother how much money does she have left?

Answers

Amount of money Mina has : £3.20

Half of her money : ½ × 3.20 = £1.6

So, She gives her brother £1.6
Money left with her : Total money - Money given to her brother = £3.20 - £1.60 = £1.60

How do i solve 3x² - 8x + 2 = 0 using quadratic formula?

Answers

$3x^2 - 8x + 2 = 0\n \na=3 , \ \ b=-8 , \ \ c=2 \n \nx_(1)=(-b-√(b^2-4ac))/(2a) =(8-√( (-8)^2-4 \cdot 3\cdot 2))/(2 \cdot 3) =(8-√( 64-24 ))/(6) =\n \n =(8-√(40 ))/(6) = ( 8-√(4\cdot 10 ) )/(6) = ( 8-2√( 10 ))/(6) = (2 (4-√( 10 )))/(6) = ( 4-√( 10 ) )/(3)$

$x_(2)=(-b+√(b^2-4ac))/(2a) =(8+√( (-8)^2-4 \cdot 3\cdot 2))/(2 \cdot 3) = ( 4+√( 10 ) )/(3)$

$x = (-b +/- √(b^2 - 4ac))/(2a)$

$x = (-(-8) +/- √((-8)^2 - 4(3)(2)))/(2(3))$

$x = (8 +/- √(64 - 24))/(6)$

$x = (8 +/- √(40))/(6)$

$x = (8 +/- 6.31)/(6)$

$x = (14.32)/(6)$ x ≈ 2.39

$x = (1.68)/(6)$ x ≈ 0.28

Which statement best describes why there is no real solution to the quadratic equation y = x^2 - 6x + 13?The value of (-6)2 - 4 • 1 • 13 is a perfect square.
The value of (-6)2 - 4 • 1 • 13 is equal to zero.
The value of (-6)2 - 4 • 1 • 13 is negative.
The value of (-6)2 - 4 • 1 • 13 is positive.

Answers

Answer:

The value of (-6)2 - 4 • 1 • 13 is negative.

Step-by-step explanation:

To solve a quadratic equation we can solve by factoring, graphing or through the quadratic formula. The formula is as follows:

$x=\frac{-b+/-\sqrt{b^(2)-4ac } }{2a}$

When the square root value is less than 0, a real solution cannot be found. This means when $b^(2)-4ac<0$ . For the equation, a=1, b=-6 and c=13.

We substitute and simplify.

$b^(2)-4ac=(-6)^2-4(1)(13)=36-4(13)=36-52=-16$

This gives us an imaginary solution because the value of (-6)2 - 4 • 1 • 13 is negative.

12p - 13 + 3p = 32
please help

Answers

Answer:

Step-by-step explanation:

Step 1:

12p - 13 + 3p = 32 Equation

Step 2:

15p - 13 = 32 Add

Step 3:

15p = 45 Add 13 on both sides

Step 4:

45 ÷ 15 Divide

Answer:

p = 3

Hope This Helps :)

Answer:

p=6

Step-by-step explanation:

Please Help I Have No Idea What They Talking Bout Which level does macroeconomics focus on?
A. personal
B. business
C. government

Answers

Macroeconomics focuses on C) government level.
Macroeconomics is a branch of economics dealing with the performance, structure, behavior, and decision-making of an economy as a whole rather than individual markets.

Answer:

C. government

Step-by-step explanation:

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