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creativ13 [48]
4 years ago
14

Find the slope of the line passing through the points (-4, 4) and (-7,1)

Mathematics
1 answer:
KATRIN_1 [288]4 years ago
5 0

Answer:

slope = 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 4, 4) and (x₂, y₂ ) = (- 7, 1)

m = \frac{1-4}{-7+4} = \frac{-3}{-3} = 1

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Without drawing the graphs, find the points of intersection of the lines:
tankabanditka [31]
The answer is (4,7) :)
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4 years ago
0.27 (repeating) into a fraction. Simplify if needed.
WARRIOR [948]
Dont ask me why...I cant really explain it...but if u have 1 repeating decimal, u put it over 9. If u have 2 repeating decimals, u put it over 99....3 repeating decimals, put it over 999.

Examples :
0.7 (repeating) = 7/9
0.27 (repeating) = 27/99 when simplified = 3/11 <===
0.444 (repeating = 444/999 
8 0
3 years ago
Read 2 more answers
Simplify 3^2 x 3^4 x 3^6 A3^10 B3^12 C3^48 D3^0​
kvasek [131]

Answer:

\boxed{\sf\: B)\:3^{12}}

Step-by-step explanation:

\sf 3^2\times \:3^4\times \:3^6

<u>Apply exponent rule:</u>

\hookrightarrow \boxed{\sf a^b\times \:a^c=a^{b+c}}

  • \sf 3^2\times \:3^4\times \:3^6
  • \sf 3^{2+4+6}

Add the numbers:

  • \sf 2+4+6=12
  • \sf \:3^{12}

________________________________

7 0
2 years ago
The numbers 7, 11, 12, 13, 14, 18, 21, 23, 27, and 29 are written on separate cards, and the cards are placed on a table with th
SCORPION-xisa [38]

The probability of picking a card with an even number is \frac{3}{10}.

<h3>What is probability?</h3>
  • Probability is an area of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely a statement is to be true.
  • The probability of an event is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.

To find the probability of picking a card with an even number:

  • There are 10 cards on which numbers are written 7, 11, 12, 13, 14, 18, 21, 23, 27, and 29.
  • These cards are placed on a table with the numbers facing down.
  • To find the probability of picking a card with an even number, first, we count all the even numbers written on the cards.
  • 12, 14, and 18 out of 10 cards there are 3 even numbers written on the cards.
  • So, the probability of picking a card with an even number is \frac{3}{10}.

Therefore, the probability of picking a card with an even number is \frac{3}{10}.

Know more about probability here:

brainly.com/question/24756209

#SPJ4

COMPLETE QUESTION:

The numbers 7, 11, 12, 13, 14, 18, 21, 23, 27, and 29 are written on separate cards, and the cards are placed on a table with the numbers facing down. The probability of picking a card with an even number is _____.

5 0
2 years ago
In the figure, triangle CAE is an enlargement of triangle CBD with scale factor of 4/3. The area of the smaller triangle is 9cm2
balandron [24]

Answer:

16 cm^2

Step-by-step explanation:

Given

\triangle CAE -- Bigger Triangle

\triangle CBD -- Smaller Triangle

k = \frac{4}{3} --- Scale factor

Area of CBD = 9

Required

Determine the area of CAE

The area of triangle CBD is:

A_1 = \frac{1}{2}bh

\frac{1}{2}bh = 9

The area of CAE is:

A_2 = \frac{1}{2}BH

Where:

B = \frac{4}{3}b and

H = \frac{4}{3}h

The above values is the dimension of the larger triangle (after dilation).

So, we have:

A_2 = \frac{1}{2}*\frac{4}{3}b * \frac{4}{3} * h

A_2 = \frac{1}{2}*\frac{4}{3} * \frac{4}{3} *b* h

A_2 = \frac{1}{2}*\frac{16}{9}  *b* h

Re-order

A_2 = \frac{16}{9}*\frac{1}{2}* b* h

A_2 = \frac{16}{9}*\frac{1}{2}bh

Recall that:

\frac{1}{2}bh = 9

A_2 = \frac{16}{9}*9

A_2 = 16

Hence, the area is 16 cm^2

3 0
3 years ago
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