Answer:
Step-by-step explanation:Given that the numerator of a given fraction is 4 less than its denominator.
Also given that 3 is subtracted from the numerator and 5 is added to the denominator, the fraction becomes one by fourth .
Let the fraction be
Since the numerator of a given fraction is 4 less than its denominator we have,
Numerator=Denominator-4
⇒ a=b-4
Since 3 is subtracted from the numerator and 5 is added to the denominator, the fraction becomes one by fourth we have
4(a-3)=1(b+5)
4a-12=b+5
4a-b=17
4(b-4)-b=17 ( ∵ a=b-4)
4b-16-b=17
3b=17+16
3b=33
⇒ b=11
Now put b=11 in a=b-4 we get
a=11-4
⇒ the fraction is a/b=7/11
Answer:
16
Step-by-step explanation:
Given
f(x)=5x^2+9x-2
Remainder theorem states that when f(x) is divided by x-a then the remainder can be calculated by calculating f(a).
Now Using the remainder theorem to divide 5x^2+9x-2 by x+3 to find the remainder:
f(x)=5x^2+9x-2
f(-3) = 5(-3)^2 +9(-3) -2
=5(9) - 27 -2
= 45-29
= 16 !
Answer:
70
Step-by-step explanation:
By exterior angle theorem:
Answer:
It is a picture of colors
Step-by-step explanation:
hopefully you can get it ;)
The measure of the sides is 27, 23 and 16 and the perimeter is 56 respectively
<h3>The perimeter of a triangle</h3>
The triangle is a 2 dimensional shape that has 2 sides.
Given the following sides
l = m + n - 12
n = m - 7
m = l - 1/4n
l = m + 1/4n
Substitute
m + 1/4n = m + m - 7 - 12
m + 1/4(m-7) = 2m - 19
m + 1/4m - 7/4 = 2m - 19
-m + 1/4m = -19 + 7/4
-3/4m = -19(4)+7/4
-3/4m = -69/4
-3m = -69
m = 23
Hence the value of m from the given expression is 23
n = 23 - 7
n = 16
l = 23 + 16 -12
l = 39 - 12
l = 27
n = 23 - 7
n = 16
Hence the measure of the sides is 27, 23 and 16 respectively
Perimeter = 27+23+16
Perimeter = 56
Learn more on perimeter of triangle here: brainly.com/question/24382052
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