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AURORKA [14]
3 years ago
6

Write the expression 4+6a/5 -1+3a/4 as a single fraction.

Mathematics
1 answer:
igomit [66]3 years ago
4 0
(21+39a)/20. Because they have to have the same denominator
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The perimeters of similar triangles are in the same ratio as the corresponding sides
wariber [46]

Answer:

Always

Step-by-step explanation:

Suppose you have triangle ABC with side lengths a, b, c. Suppose that is similar to triangle DEF with side lengths d, e, f.

Now, let k be the ratio of corresponding sides ...

  k = d/a

Because the same factor applies to all sides, we also have ...

  k = e/b = f/c

That is, if we multiply by the denominators of each of these fractions, we get ...

  • d = a·k
  • e =b·k
  • f = c·k

The perimeter of ΔABC is ...

   perimeter(ABC) = a + b + c

The perimeter of ΔDEF is ...

  perimeter(DEF) = d + e + f = a·k + b·k + c·k

  perimeter(DEF) = k(a + b + c) = k·perimeter(ABC)

  k = perimeter(DEF)/perimeter(ABC)

That is, the perimeters are in the same ratio as corresponding sides.

3 0
2 years ago
Maria is making a scale drawing of her basement, which is 12 yards long. if she let's 1/2 inch represent 1 yard how many inches
andrezito [222]

Answer:

the correct answer would be 6 inches.

Step-by-step explanation:

12*.5=6


7 0
2 years ago
Why is the product of a rational number and an irrational number irrational
prohojiy [21]
Because u r adding irrational to rational its like if u add a whole number to a negative number u get deeper into negatives in this case irrational is the negative and rational is the whole<span />
8 0
3 years ago
Using the completing-the-square method, rewrite f(x) = x2 + 10x + 7 in vertex form
mr Goodwill [35]

Answer:

f(x) = (x - (-5))^2 + (-18)

Step-by-step explanation:

Given:

f(x) = x^2 + 10x + 7

Rewrite f(x) in vertex form

Solution:

f(x) = ax^2 + bx + c is a quadratic function.

The vertex form of f(x) is a(x - h)^2 + k, where (h, k) is the vertex.

=> f(x) = x^2 + 10x + 7

          = x^2 + 10x + 25 - 18

          = (x + 5)^ - 18

          = (x - (-5))^2 + (-18)

=> f(x) can be rewritten in form of a(x - h)^2 + k, where (h, k) is the vertex, with a = 1, h = -5, k = -18

6 0
3 years ago
&lt;Q and &lt;R are complementary angles. If m&lt;Q = (31 - 3x)° and m&lt;R = (19x - 5)°, find m&lt;R​
Sergio [31]

31-3x+19x-5=90

26+16x=90

-26 -26

--------------------

16x= 64

16x/16= 64/16

x=4

m <R=19 (4)-5= 71.

7 0
3 years ago
Read 2 more answers
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