factor z^2+18z+45 45=3*3*5=3*(3*5)=3*15 and 3=15=18 and 18 is the coefficient of the middle term (z+3)(z+15)

factor z^2+18z+45 45=3*3*5=3*(3*5)=3*15 and 3=15=18 and 18 is the coefficient of the middle term (z+3)(z+15)

Need help asap.. (answer)

#25 to get you started... find the sum of every integer from 1 to 1000 that is not a perfect square find the sum of all the numbers from 1 to 1000 and then subtract the sum of all the squares from 1 to 1000 the sum of the first n consecutive numbers is found by using the formula n(n+1)/2 1000(1001)/2=500(1001)=500,500 you...

find the arithmetic mean of the first "n" natural numbers look at the pattern: (1+2)/2=3/2=1.5 and the next natural number is 3 and 3/2=1.5 (1+2+3)/3=6/3=2 and the next natural number is 4 and 4/2=2 (1+2+3+4)/4=10/4=2.5 and the next natural number...

Combinations (answer)

(n,k)=n!/k!(n-k)! (n,n-k)=n!/(n-k)!(n-[n-k])! =n!/(n-k)!(n-n+k)! =n!/(n-k)!k! =n!/k!(n-k)! after rearranging f...

call the other leg L z2=x2+L2 z2-x2=L2 take the square root of both sides √L2=√z2-x2 L=√(z2-x2)

ST=6x TU=9 SU=9x ST=? ST+TU=SU 6x+9=9x 9=9x-6x 9=3x x=9/3 x=3 ST=6x=6*3=18 ST=18 ST+TU=SU 18+9=9x 27=9*3=27

Math question (answer)

g(x)=√3x g(a)=6 g(a)=√3a 6=√3a square both sides 36=3a a=36/3 a=12

Height of Cloud Cover (answer)

draw the triangle the left base angle is 75º and the right base angle is 45º draw the height and call it h the base is 600 m the height divides the triangle into two right triangles the one on the right is an isosceles right triangle (45-45-90) the base of the triangle on...

2cos^2x+sinx-1=0 2cos^2x-1+sinx=0 2cos^2x-1=1-2sin^2x (trig identity) substitute 1-2sin^2x+sinx=0 2sin^2x-sinx-1=0 factor (2sinx+1)(sinx-1)=0 2sinx+1=0 or sinx-1=0 2sinx=-1 sinx=-1/2 look on the unit circle x=7∏/6 or x=11∏/6 (210º...

Not understanding how to set up (answer)

let x=amount of the 95% mixture needed 30%(25)+95%(x)=90%(25+x) 0.3(25)+0.95(x)=0.9(25+x) 7.5+0.95x=22.5+0.9x 0.95x-0.9x=22.5-7.5 0.05x=15 5x=1500 x=1500/5 x=300 mL is needed of the 95% mixture

Solve A= 2pirsq+2pirh (answer)

A=2∏r^2+2∏rh factor out ∏ A=∏(2r^2+2rh) A/(2r^2+2rh)=∏

Identify the lateral area and the surface area of the cylinder rounded to the nearest tenth. (answer)

if you could cut the cylinder and fold it flat it would look like a rectangle whose length is the circumference which is 14∏ C=∏d C=14∏, so d=14 cm and r=7 cm the height is 3*7=21 cm the width of the rectangle is the height which is 21 cm the lateral area is l*w=14∏*21=294∏ sq...

x, x+2, and x+4 are the integers 2x=14+(x+4) 2x=14+x+4 2x=x+18 2x-x=18 x=18 x+2=20 x+4=22

Percentage word problem (answer)

$3000+$800=$3800 total income 3000/3800=30/38=15/19=0.7894737...=78.9473% for the husband (78.95% rounded) 800/3800=8/38=4/19=0.2105263...=21.0526% for the wife (21.05% rounded)

Please tell me The difference of two numbers is 7, and their sum is 49. Find the two numbers (answer)

there are different approaches here's one of them... x and x+7 are the numbers x+(x+7)=49 2x+7=49 2x=49-7 2x=42 x=42/2 x=21 x+7=21+7=28 21 and 28 are the numbers another solution... x-y=7 x+y=49 add 2x=56 x=56/2 x=28 substitute 28-y=7 28-7=y y=21 21...

2sin43cos43 (answer)

2sinθcosθ=sin2θ 2sin43cos43 θ=43º sin2(43º)=sin86º sin86º=0.99756405026

5x+8y=34 8y=-5x+34 y=(-5/8)x+(34/8) the slope of this line is -5/8 the slope of the line perpendicular to this line is the negative reciprocal of -5/8 the negative reciprocal is 8/5 the perpendicular line has slope 8/5 and goes through the points (8,2) and (-2,y) find...

What is the slope-intercept form equation of the line that passes through (2, 4) and (4, 10) (answer)

points (2,4) and (4,10) find the slope, m (10-4)/(4-2)=6/2=3 y=mx+b y=3x+b choose one of the points, such as (2,4) 4=3(2)+b 4=6+b b=-2 y=3x-2 if you use (4,10)... 10=3(4)+b 10=12+b b=-2 again y=3x-2

24y*4+4y*3−8y*2=0 Solve for Y (answer)

24y^4+4y^3-8y^2=0 6y^4+y^3-2y^2=0 y^2(6y^2+y-2)=0 y^2(3y+2)(2y-1)=0 y^2=0 y=0 3y+2=0 3y=-2 y=-2/3 2y-1=0 2y=1 y=1/2 y=0 (double root), y=-2/3, y=1/2

30x*3=3x*2+6x Solve for X (answer)

there are 3 answers ! 30x^3=3x^2+6x 30x^3-3x^2-6x=0 10x^3-x^2-2x x(10x^2-x-2)=0 x(5x+2)(2x-1)=0 x=0 5x+2=0 5x=-2 x=-2/5 2x-1=0 2x=1 x=1/2 x=1/2, x=-2/5, x=0