Solve the simultaneous equation 4x + 3y = -2 8x + 3y = 14​

Answers:

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Explanation:

Point A is at (-3, 4). If we apply the translation rule of "shift 9 units to the right and 6 units down", then we apply this transformation

[tex](x,y) \to (x+9,y-6)[/tex]

We add 9 to the x coordinate and subtract 6 from the y coordinate.

So (-3,4) becomes (-3+9, 4-6) = (6, -2) which is where point A' is located in the diagram. You should find that points B,C,D all map to B', C', D' following this same translation rule.

Therefore, statement 1 is true.

Statement 3 is the same idea, but the order has been swapped. The order doesn't matter in this case. So that makes statement 3 true as well.

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Statement 2 on the other hand is false

Why? Because a reflection reverses the orientation of a figure. Note how both squares ABCD and A'B'C'D' all go clockwise when we go through the alphabet (ie A to B to C to D).

If a reflection happened, then A'B'C'D' would go counterclockwise and show that the orientation has been swapped. I recommend drawing an analogue clock and going up to a mirror to see that the orientation has swapped.

To swap the orientation back, you need a second reflection. This shows that two reflections either lead to a translation or a rotation (depending if the mirror lines are parallel or not).

If you wanted, you could track to see where point B ends up if you follow statement 2. Point B is at (-1, 4). Reflect over the y axis to get to (1, 4). Then shift 6 units down to arrive at (1, -2) which is not the correct location of B'. The diagram shows B' is actually at (8, -2). So this is an alternative way to see how statement 2 is false.

Answer:

True

False

True

Step-by-step explanation:

Answer:

the answer is the second one

Answer:

0.88

Step-by-step explanation:

We would consider the first case second column....

So 14/16 will be the probability that comes out be approximately 0.88.

Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

(m+5)(m-5)

m(m-5)+5(m-5)

m^2-5m+5m-25 (-5m and + 5m gets cancel)

m^2-25

m^2-5^2

There are 6 numbers in a die.

So, theoretical probability of each no. = 1/6

P(1) = 7/42 = 1/6

P(2)= 6/42 =1/7

P(3) = 14/42= 1/3

P(4)= 4/42=2/21

P(5)= 6/42= 1/7

P(6)= 5/42

For no. 1 experimental probability of rolling the number the same as the theoretical probability

Answer:

7x-1+2x-1=7

9x-2=7

9x=7+2

9x=9

÷9

x=1

Answer:

---

Step-by-step explanation:

W=2x²+9x-7

L=x²-9

2(3x²+9x-16)

6x²+18x-32

The bold is the perimeter.

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hope it helps

Answer: OOOOOKAY So I got three answers they all equal to the same thing

Step-by-step explanation:

Exact Form: x = -30/7

Decimal Form: -4.285714..

Mixed Number Form: x - 4 2/7

Answer:

volume of cylinder= πr²h

Step-by-step explanation:

volume of cylinder = πr²h

hope it is helpful to you

Answer:

The binomial in expanded form is [tex](0.3 + q)^{5} = \frac{243}{100000} + \frac{81}{2000}\cdot q + \frac{27}{100}\cdot q^{2} + \frac{9}{10} \cdot q^{3} + \frac{3}{2}\cdot q^{4} + q^{5}[/tex].

Step-by-step explanation:

The Binomial Theorem states that a binomial of the form [tex](a + b)^{n}[/tex] can be expanded by using the following identity:

[tex](a + b)^{n} = \Sigma \limits^{n}_{k = 0}\,\frac{n!}{k!\cdot (n-k)!}\cdot a^{n-k}\cdot b^{k}[/tex] (1)

If we know that [tex]a = p = 0.3[/tex] and [tex]n = 5[/tex], then the expanded form of the binomial is:

[tex](p+q)^{n} = \frac{243}{100000} + 5\cdot \left(\frac{81}{10000} \right)\cdot q + 10\cdot \left(\frac{27}{1000})\cdot q^{2} + 10\cdot \left(\frac{9}{100} \right)\cdot q^{3} + 5\cdot \left(\frac{3}{10} \right)\cdot q^{4} + q^{5}[/tex]

[tex](0.3 + q)^{5} = \frac{243}{100000} + \frac{81}{2000}\cdot q + \frac{27}{100}\cdot q^{2} + \frac{9}{10} \cdot q^{3} + \frac{3}{2}\cdot q^{4} + q^{5}[/tex]

Answer:

ECB=EBC=(180-90)/2

=90/2=45

MEASURE OF ABE=180-45

=135

Answer:

c and d

Step-by-step explanation:

c) Housing, savings and food = 54%

d) Housing, food and transportation = 60%

Answer:

c and d

Step-by-step explanation:

Answer:

C. 11/21

Step-by-step explanation:

Find the probability that he scores in general, by dividing 33 by 63:

33/63

Simplify this by dividing the numerator and denominator by 3:

= 11/21

So, the probability that he will score his next shot is 11/21

The correct answer is C. 11/21

Answer:

Step-by-step explanation:

R=Q

P=2Q+R/R

P=2R+R/R

P=3R/R

P=3

Answer:

He will use about 12.375 cups of oatmeal

Step-by-step explanation:

Answer:

x=25

Step-by-step explanation:

We know vertical angles are equal

<A = <B

7x-8 = 6x+17

Subtract 6x from each side

7x-6x-8 = 6x-6x+17

x-8 = 17

Add 8 to each side

x-8+8 = 17+8

x=25

Answer:

547:855

Step-by-step explanation:

Answer:

x(x^2+4)

Step-by-step explanation:

See image below:)

1.4 feet

let me know if you get it right hope i helped!

Answer:

14

Step-by-step explanation:

a2+(48)2=

 502\,\,50^{2}502

Use the Pythagorean Theorem.

a2+2304=a^{2}+2304=a2+2304=

 2500\,\,25002500

Simplify.

−2304-2304\phantom{=}−2304=

 −2304\,\,-2304−2304

Subtract 2304 from both sides.

a2=a^{2}=a2=

 196\,\,196196

a2=\sqrt{a^{2}}=a2

​=

 ±196\,\,\pm\sqrt{196}±196

​

Square root both sides.

a=a=a=

 14\,\,1414

Simplify. Ignore negative root, as length must be positive.

Answer:

I'm pretty sure the answer is D.

Step-by-step explanation:

idontknow

Answer:

the directrix and focus the axis of symmetry (goes through the focus, at right angles to the directrix) the vertex (where the parabola makes its sharpest turn) is halfway between the focus and directrix.

Step-by-step explanation:

Answer: im pretty sure that would be A

Step-by-step explanation:

9514 1404 393

Answer:

  28

Step-by-step explanation:

Let x represent the even number between them. Then the desired sum is 2x.

The given relation is ...

  7(x -1) = 1 +6(x +1)

  x = 14 . . . . . . . add 7-6x

 2x = 28 = sum of those numbers

__

The two numbers are 13 and 15.

Step-by-step explanation:

17². + 144²=x²

289 + 20736=x²

x²=21025

x =√21025

x=145

145 miles apart

50 miles apart

hope this helps

Answer:

3x³ + x² + x + 1

= 3x³ - 3x² + 4x² - 4x + 5x - 5 + 6

= 3x²(x - 1) + 4x(x - 1) + 5(x - 1) + 6

= (x - 1)(3x² + 4x + 5) + 6

but 3x³ + x² + x + 1 = (x - 1).Q(x) + R

=> Q(x) = 3x² + 4x + 5

R = 6

Answer: 20 years old

Step-by-step explanation: when Zoe was six years old, Lulu would have been 12 years old since Lulu's age is twice that of Zoe's. Since Zoe is now 10 years old, Lulu would have to be 20 years old since 10 multiplied by 2 equals 20.