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3 years ago

10

Mrs.jeffries has 12 girls out of 16 students on the student council.The earth day committee has 4 girls out of the 8.Are the rat

ios equivalent?

1 answer:

Liula [17]3 years ago

7 0

Answer:

not equivalent.

Step-by-step explanation:

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Find the distance from P to l.

ki77a [65]

$Equation\ of\ a\ line\ from\ 2\ points (x_1;\ y_1);\ (x_2;\ y_2):\\\\y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\(-4;\ 2)\ and\ (3;-5)\\subtitute:\\\\y-2=\dfrac{-5-2}{3-(-4)}\cdot(x-(-4))\\\\y-2=\dfrac{-7}{7}\cdot(x+4)\\\\y-2=-(x+4)\\\\y-2=-x-4\ \ \ |add\ x\ and\ 4\ to\ both\ sides\\\\x+y+2=0\\-------------------\\$

$Point-line\ distance\\l:Ax+By+C=0;\ (x_0;\ y_0)\\\\d=\dfrac{|Ax_0+By_0+C|}{\sqrt{A^2+B^2}}\\\\x+y+2=0\to A=1;\ B=1;\ C=2\\(1;\ 2)\to x_0=1;\ y_0=2\\subtitute\\\\d=\dfrac{|1\cdot1+1\cdot2+2|}{\sqrt{1^2+1^2}}=\dfrac{|1+2+2|}{\sqrt2}=\dfrac{|5|}{\sqrt2}=\dfrac{5}{\sqrt2}=\dfrac{5\cdot\sqrt2}{\sqrt2\cdot\sqrt2}\\\\=\boxed{\dfrac{5\sqrt2}{2}}$

4 0

3 years ago

What is the nth term of the sequence -2 -8 -18 -32 -50

andreev551 [17]

Answer:

-2n²

Step-by-step explanation:

Using the image attached:
We see that the second differences (blue ones) are all equal so we conclude that this is a quadratic sequence.
The quadratic sequence has the form:
$T_{n} = an^{2} +bn +c$

To find the value of a we just divide second difference ( -4 ) by 2:

$a = \frac{-4}{2}= -2$

Now we have:

$T_{n}= -2n^{2} +bn+c$

Substitute $n_{1}$ and $n_{2}$ into the equation above:

$T_{1} = -2(1)^{2} +b(1) +c$

$T_{2} = -2(2)^{2} +b(2)+c$

Since $T_{1}$ = -2 and $T_{2}$ = -8 , after simplification we have:

$b +c =0$
$2b+c=0$

The solution of this system is:

b=0, c =0

The general term is :

$T_{n} = -2n^{2}$

6 0

2 years ago

Which statement is true? 5 6 8 27 을 ll < - 3 8 4 8 6 6

Neko [114]

Fractions

We are going to be checking each statement in order to find which of them are correct:

<h2>5/6 < 6/8 - 5/6 is smaller than 6/8</h2>

We can see that in the drawing 3/8 is smaller than 5/6. Then this statement is false.

<h2>4/6 < 5/8 - 4/6 is smaller than 5/8</h2>

We can see that in the drawing 5/8 is smaller than 4/6. Then this statement is false.

<h2>2/6 = 3/8 - 2/6 is equal to 3/8</h2>

We can see that in the drawing 3/8 is bigger than 2/6. Then this statement is false.

<h2>3/6 = 4/8 - 3/6 is equal to 4/8</h2>

We can see that in the drawing 4/8 is equal to 3/6. Then this statement is true.

<h2>Answer: 3/6 = 4/8</h2>

6 0

1 year ago

Serious answers only please !! 20 points as well as brainliest for correct answer!!

Gre4nikov [31]

Answer:

Measure of angle A = 55°.

Step-by-step explanation:

From the picture attached,

$\frac{AC}{LN}=\frac{BC}{LM}$

$\frac{10}{5}=\frac{8}{4}$

2 = 2

Corresponding sides of the given triangles ΔACB and ΔNLM are proportional.

Therefore, ΔACB ~ ΔNLM.

m∠A = 180° - (90° + 35°) [By triangle sum theorem]

= 180° - 125°

= 55°

Measure of angle A is 55°.

8 0

3 years ago

Read 2 more answers

An engineering crew ran several tests on a new automobile engine they were designing. The mean fuel consumption was 52.4 miles p

zhenek [66]

Any value which is more than 2 standard deviations away from the mean is considered to be "unusual."

2 standard deviations above the mean 52.4 mp would be 52.4+2(1.8), or 56; 2 std devs below the mean would be 52.4 - 2(1.8), or 48.8. Thus, any value larger than 56 or any value smaller than 48.8 would be "unusual."

54.8, 49.1 and 51.3 are not unusual; 56.5 is unusual, because it's greaster than 56.

8 0

3 years ago