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3 years ago

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) 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

Equations:

m + s = 30
s = 2m - 3

Substitute s into first equation and solve for m:

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

Find s:

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.

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