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alisha [4.7K]
3 years ago
8

Which equation shows a line perpendicular to the line

Mathematics
1 answer:
LenaWriter [7]3 years ago
3 0

Answer:

The second answer: y= 3/4x + 2

Step-by-step explanation:

Subtract 4x to the other side

Divide by 3 to get y by itself

Make the coefficient of the x term the negative reciprocal, for that is the perpendicular slope of the line

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△ABC is similar to △XYZ. Also, side AB measures 6 cm, side BC measures 18 cm, and side XY measures 12 cm.
Serggg [28]

Answer:

value of sides YZ is 36 cm

Step-by-step explanation:

Similar triangles states that the length of the corresponding sides are in proportion.

Given that: ΔABC is similar to ΔXYZ

then;

Corresponding sides are in proportion i.e

\frac{AB}{XY}=\frac{BC}{YZ}=\frac{AC}{XZ}    .....[1]

As per the statement:

side AB = 6 cm, side BC =18 cm and side XY = 12 cm.

Substitute these in [1] to solve for side YZ;

\frac{6}{12}= \frac{18}{YZ}

or

\frac{1}{2} = \frac{18}{YZ}

By cross multiply we have;

YZ = 36 cm

Therefore, the value of sides YZ is 36 cm


4 0
3 years ago
Read 2 more answers
At the souvenir shop. Theo buys k key chains and p photo frames
stealth61 [152]

Answer:

Total cost of Theo's purchases in terms of k and p=2.49(k + p) + 5.99

Step-by-step explanation:

Cost of k key chain=$2.49

Cost of p photo frames=$2.49

Cost of a T-shirt=$5.99

Total cost of all items=cost of k key chain + cost of p photo frame + cost of The shirt

=2.49k + 2.49p + 5.99

Factorise

2.49 is common to both k and p

=2.49(k + p) + 5.99

Total cost of Theo's purchases in terms of k and p=2.49(k + p) + 5.99

4 0
3 years ago
How is Pascal's triangle used in binomial theorem?.
Scorpion4ik [409]

To simplify the process of expanding a binomial of the type (a+b) n (a + b) n, use Pascal's triangle. The same numbered row in Pascal's triangle will match the power of n that the binomial is being raised to.

A triangular array of binomial coefficients known as Pascal's triangle can be found in algebra, combinatorics, and probability theory. Even though other mathematicians studied it centuries before him in India, Persia, China, Germany, and Italy, it is called after the French mathematician Blaise Pascal in a large portion of the Western world. Traditionally, the rows of Pascal's triangle are listed from row =0 at the top (the 0th row). Each row's entries are numbered starting at k=0 on the left and are often staggered in relation to the numbers in the next rows. The triangle could be created in the manner shown below: The top row of the table, row 0, contains one unique nonzero entry.

Learn more about triangle here

brainly.com/question/2773823

#SPJ4

7 0
1 year ago
16,000 rolls of paper were purchased and 12,500 were sold at $1.79, what is the total ending inventory?
Maslowich
12,500 x 1.79 to find the price but 16,000 - 12,500 to get how many were left. 
12,500 x 1.79 = $22,375 that they made from selling. 16,000 - 12,500 = 3,500 rolls left in the inventory. This question confused me so I just gave both answers.
8 0
3 years ago
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What is one light year in seconds need it to written out in the conversion format
ra1l [238]

In one year there are 365 days of 24 hours. Each hour has 60 minutes and each minute is 60 seconds long. So, 60s/min x 60 min/hr x 24hr/day x 365 days equals 31,536,000s.


Hope this helps you with your answer. If it is incorrect, then I am sorry.

8 0
3 years ago
Read 2 more answers
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