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natta225 [31]
3 years ago
7

Simplify 6(A + 2) + 5A

Mathematics
2 answers:
Rama09 [41]3 years ago
7 0

Answer:the answer is 11A+12

Step-by-step explanation:

gizmo_the_mogwai [7]3 years ago
4 0
6(A+2)+5A=6A+12+5A=\boxed{11A+12}
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Find the length of AB
nikklg [1K]

Answer:

AB=8cm

Step-by-step explanation:

Since ABC is a right angled triangle,

Using pythagoras theorem,

h²=p²+b²

or, BC²=AC²+AB²

or, 17²=15²+AB²

or, 289=225+AB²

or, 289-225=AB²

or, AB² = 64

so, AB=8 cm

8 0
2 years ago
..vertex: (4, -1)<br> f(3) = -6
s344n2d4d5 [400]

Answer:

\huge\boxed{f(x)=-5(x-4)^2-1=-5x^2+40x-81}

Step-by-step explanation:

The vertex form of an equation of a parabola:

f(x)=a(x-h)^2+k

(h;\ k) - vertex

We have

vertex (4;\ -1)\to h=4;\ k=-1

f(3)=-6

Therefore we have:

f(x)=a(x-4)^2+(-1)=a(x-4)^2-1

Substitute x=3 and f(3)=-6

a(3-4)^2-1=-6\qquad|\text{add 1 to both sides}\\\\a(-1)^2=-6+1\\\\a(1)=-5\\\\a=-5

Finally:

f(x)=-5(x-4)^2-1=-5(x^2-2(x)(4)+4^2)-1\\\\=-5(x^2-8x+16)-1=-5x^2+(-5)(-8x)+(-5)(16)-1\\\\=-5x^2+40x-80-1=-5x^2+40x-81

4 0
3 years ago
The sum of my age and my sisters age is 30, and she is 3 years less than twice as old as me. How old are each of us? HELP
Marta_Voda [28]

Answer:

  • 11 and 19

Step-by-step explanation:

  • My age = m
  • Sister's age = s

<u>Equations:</u>

  • m + s = 30
  • s = 2m - 3

<u>Substitute s into first equation and solve for m:</u>

  • m + 2m - 3 = 30
  • 3m - 3 = 30
  • 3m = 33
  • m = 11

<u>Find s:</u>

  • s = 2*11 - 3 = 22 - 3 = 19
5 0
3 years ago
Read 3 more answers
a kayaker travels x miles per hour downstream for 3 hours. on the 4-hour return trip, the kayaker travels 1 mile per hour slower
o-na [289]
3x is the miles from downstream
4 (x - 1) is the return trip 

Solution:
3x = 4 (x - 1)
3x =4x - 4
-x = -4 
x = 4 

The outward journey 3x = 12 miles 
Return journey is same length 
Therefore the distance travel is 24 miles
7 0
3 years ago
Read 2 more answers
For a normal distribution with μ=500 and σ=100, what is the minimum score necessary to be in the top 60% of the distribution?
STatiana [176]

Answer:

475.

Step-by-step explanation:

We have been given that for a normal distribution with μ=500 and σ=100. We are asked to find the minimum score that is necessary to be in the top 60% of the distribution.

We will use z-score formula and normal distribution table to solve our given problem.

z=\frac{x-\mu}{\sigma}

Top 60% means greater than 40%.

Let us find z-score corresponding to normal score to 40% or 0.40.

Using normal distribution table, we got a z-score of -0.25.

Upon substituting our given values in z-score formula, we will get:

-0.25=\frac{x-500}{100}

-0.25*100=\frac{x-500}{100}*100

-25=x-500

-25+500=x-500+500

x=475

Therefore, the minimum score necessary to be in the top 60% of the distribution is 475.

3 0
3 years ago
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