A. 11.2 in. b. 19.6 in. c. 25.2 in.

hammer [34]

(9,0) (0,9) choose any two points since it’s a straight line honey and the dk the difference between the two points

9-0
———. = 1
0-9

5 0

3 years ago

5 Find the slope of the line that contains points (1,-3) and (-4,5).

ch4aika [34]

Answer:

gradient = m

m= $\frac{rise}{run}$

m= $\frac{1-(-4)}{-3-5}$

m= $\frac{5}{-8}$

3 0

3 years ago

What is the ratio for consonants to vowels,Vowels to total letters,and all letters to consonants

Studentka2010 [4]

Answers:

Ratio of consonants to vowels = 21:5
Ratio of vowels to total letters = 5:26
Ratio of all letters to consonants = 26:21

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Explanation:

vowels = {a, e, i, o, u}

consonants = anything but a vowel (eg: the letter R)

There are 26 letters in the English alphabet. Five of which are vowels, so there are 26-5 = 21 consonants.

The ratio of consonants to vowels is 21:5

The order is important because the number of consonants must be listed first, simply because "consonants" is mentioned first in the phrasing "ratio of consonants to vowels". In other words, writing 5:21 would mean the ratio of vowels to consonants.

The ratio 21:5 cannot be reduced further since 21 and 5 have no factors in common (other than 1).

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The other ratios will follow a similar idea as mentioned in the previous section.

To get the ratio of vowels to total letters, we list the number of vowels first (5) follow by the number of letters (26). A colon separates the two numbers to form the ratio 5:26

This ratio cannot be reduced further.

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Like in the previous sections, we'll glue together two numbers to form a ratio. In this case, we have 26 letters glued with 21 consonants to form the ratio 26:21 and this represents the ratio of total letters to consonants.

This ratio cannot be reduced further.

5 0

3 years ago

Read 2 more answers

Two corresponding sides of similar triangles are 2 cm and 5 cm. What is the area of the second triangle if the area of the first

Stella [2.4K]

Answer:

(1) Area of second triangle= 50 cm^2.

(2) Area of ΔABC=98 cm^2.

and Area of ΔDFG=175 cm^2.

Step-by-step explanation:

" For two similar triangles the ratio of sides is equal to the ratio of square of their areas".

i.e. if a,b are the corresponding sides of two similar triangles and let A and B denote the area of two triangles then we have the relation as:

$\dfrac{a^2}{b^2}=\dfrac{A}{B}$

(1)

for the first question:

we have a=2, b=5.

A=8 cm^2.

Hence,

$\dfrac{2^2}{5^2}=\dfrac{8}{B}\\\\\dfrac{4}{25}=\dfrac{8}{B}$

B=50 cm^2.

Hence, the area of second triangle is 50 cm^2.

(2)

In second option we have:

a=6 and b=5.

A-B=77 cm^2.

A=77+B

$\dfrac{6^2}{5^2}=\dfrac{A}{B}\\ \\\dfrac{36}{25}=\dfrac{77+B}{B}\\ \\36B=25\times77+25B\\\\36B-25B=25\times77\\\\11B=25\times77\\\\B=25\times7\\\\B=175$

Hence area of second triangle i.e. ΔDFG is 175 cm^2.

and area of first triangle i.e. ΔABC=175-77=98 cm^2.

8 0

3 years ago

Find the domain of the funtion 4/x-7

dedylja [7]

Domain means which values the function can have which make it true or Possible to solve

So all you got to do is set the denominator = to 0 and solve for x
You will get x=7

4/(7-7) is not possible

So x cannot equal to 7 because you cant divide a number by 0!

5 0

3 years ago