Factor this polynomial completely.

x²- 64

A. (x+8)(x-8)
B. (x+64)(x-64)
C. (x-8)(x-8)
D. (x-64)(x-64)​

Answer:

-decreases the chance of contracting any type of virus  

-decreases the chance of other people contracting the virus

Step-by-step explanation:

Answer: It keeps people safe, and it keeps you safe as well.

Step-by-step explanation: You're keeping other people safe by wearing a mask,since youre limiting or even entirely preventing particles and germs from reaching other people,and protecting yourself because a mask prevents germs entering your nose and mouth.

Answer:

Exact form:

[tex]x=\sqrt{17} +3,-\sqrt{17} +3[/tex]

Step-by-step explanation:

Take the root of both sides and solve.

Answer:

160 minutes

Step-by-step explanation:

Find out how many minutes are in a hour. 60 min in one hour. 60 x 2 = 120

120 + 40 = 160

Answer:

uncountable

Step-by-step explanation:

----------------uncountable-----------------

Answer:

A: 46 meters at 3 seconds

B: 0 meters at 6.033 seconds

C. It depends where the tree is

D. 6.033 seconds

Step-by-step explanation:

A. To find max height, we need to find the vertex.

We can do this by using vertex from y=a(x-h)+k for y=a^2+b^2+c^2

h(t) = -5t^2+30t+1

h(t)+45 = - 5x^2+30x+45+1

h(t)+45= -5(x^2-6x-9)+1

h(t)+45 = -5(x-3)^2+1

h(t) = -5(x-3)^2+46

Hence, the max height is 46 at 3 seconds

B. The minimum height is 0 meters because of the problem

C. It depends because the parabola intersects x=10 in 2 places meaning that you need the tree to be in either of these two places to intercept the horseshoe

D. -5x^2+30x+1=0

     5x^2-30x-1=0

     x=  (30+-sqrt(30^2-4*5*-1))/2*5

     x=(30+-sqrt920)/10

     x=3+-2sqrt230/10

     x=3+-sqrt230/5

      This means that x =  -0.033  or 6.033. Negative value doesn't make sense so it's 6.033 seconds  

Answer:

The exact value of sin-1(√32) sin -1 ( 3 2 ) is π3 .

Step-by-step explanation:

Answer:

Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values.

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

The denominator is the bottom number, and represents how many parts are possible—in other words, how many parts go into a whole. The numerator is the top number, and represents how many parts you have.

[tex]\frac{Numerator}{Denominator}[/tex]

Answer:

The numerator is 1.

Step-by-step explanation:

The numerator is the number above the fraction bar; the denominator is below.

[tex]\frac{denominator}{numerator} -\frac{1}{2}[/tex]

Answer:

Please read explanations

Step-by-step explanation:

By direct calculations, we know that the nearest perfect square to 29 is 25

The next is 36;

Hence, since 29 is between 25 and 36; it is only proper that the square root of 29 is also between the square roots of both numbers

So, we can conclude that the square root is between 5 and 6

For actual values by calculating, we have this as 5.38 which to the nearest number is 5.4

so, we have the dot at the next 4 small lines after the number 5

Answer:

3

Step-by-step explanation:

We know that the slope of a line passing through the points ( x ₁ , y₁) and ( x₂ , y₂ ) is ,

→ Slope ( m ) = ( y₂ - y₁) / ( x₂ - x ₁ )

→ m = -3 - y / -7 - (-1)

→ 1 = -(3+y)/ -7+1

→ 1 = -(3+y) / -6

→ 6 = 3 + y

→ y = 6 - 3

→ y = 3

Answer:

A: FG = ½GC

Step-by-step explanation:

Since AD, BC and CD are medians concurrent at G, it means G is the centroid.

Now, when median passes through the centroid, the centroid divides the median in the ratio of 2:1.

Also,that the median touches the side of the triangle at their midpoints.

Thus,by inspection, we can say that;

GD = ⅓AD

GC/FG = 2/1

Thus, GC = 2FG and FG = ½GC

BG = ⅔BE

Tbus,looking at the options given and what we have gotten in proof, we can say only FG = ½GC is correct.

Answer:

269.46

Step-by-step explanation:

sin(theta) = opposite / adjacent

adjacent = opposite / sin(theta)

adjacent = 1425*sin(10.9)

adjacent = 269.4610063

Step-by-step explanation:

Divide 180 by 3 = 60

Divide 150 by 2 = 75

The faster vehicle is truck and its speed is 75 mph

Answer:

hope this helps

Step-by-step explanation:

Answer:

Step-by-step explanation:

here A(-3,-2)

-3 is x and -2 is y

so use this formula to find A'

p(x,y)=p'kx,ky)

here k is a scale factor which is 1/2

A(-3,-2)=A'(1/2*-3.1/2*-2)

A'(-3/2,-1)

Answer:

[tex]y= (x -4)^2 - 1[/tex]

[tex]Vertex = (4,-1)[/tex]

Step-by-step explanation:

Given

[tex]f(x) = x^2 + 6x+13[/tex]

Required

7 units left and 5 units down

First, we have: [7 units left]

The rule is:

[tex](x,y) \to (x-7,y)[/tex]

So, we have:

[tex]f(x) = (x - 7)^2 + 6(x -7)+13[/tex]

Next, we have: [5 units down]

The rule is:

[tex](x,y) \to (x,y-5)[/tex]

So, we have:

[tex]f'(x) = (x - 7)^2 + 6(x -7)+13 - 5[/tex]

[tex]f'(x) = (x - 7)^2 + 6(x -7)+8[/tex]

Rewrite as:

[tex]y = (x - 7)^2 + 6(x -7)+8[/tex]

Expand

[tex]y = x^2 - 14x + 49 + 6x -42+8[/tex]

Collect like terms

[tex]y = x^2 - 14x + 6x -42+8+ 49[/tex]

[tex]y = x^2 -8x +15[/tex]

To write in vertex form, we have

Subtract 15 from both sides

[tex]y -15= x^2 -8x[/tex]

Divide (-8) by 2; Add the square to both sides

[tex]y -15+ (-8/2)^2= x^2 -8x + (-8/2)^2[/tex]

[tex]y -15+ 16= x^2 -8x + 16[/tex]

[tex]y +1= x^2 -8x + 16[/tex]

Expand

[tex]y +1= x^2 -4x - 4x + 16[/tex]

Factorize

[tex]y +1= x(x -4) -4(x - 4)[/tex]

Factor out x - 4

[tex]y +1= (x -4)(x - 4)[/tex]

Rewrite as:

[tex]y +1= (x -4)^2[/tex]

Make y the subject

[tex]y= (x -4)^2 - 1[/tex]

The vertex is:

[tex]Vertex = (4,-1)[/tex]

Answer:

132

Step-by-step explanation:

4*7  +  (7+19)/2  * 8  = 28 + 104 = 132

Answer:

5 bottles

Step-by-step explanation:

a total of $0.80 was paid

6 $0.05 bottles were returned= $0.05×6= $0.30

remainder= $0.80-$0.30= $0.50

amount of $0.10 bottles returned= $0.50÷$0.10= 5

Answer: factors of 10 are 1, 2, 5, and 10.

Step-by-step explanation: You can also look at this the other way around: if you can multiply two whole numbers to create a third number, those two numbers are factors of the third. 2 x 5 = 10, so 2 and 5 are factors of 10.

Answer:

1,2,5,10

Step-by-step explanation:

1 x 10 = 10

2 x 5 = 10

10 x 1 = 10

Answer: 46

Step-by-step explanation:

4(9)+10

36+10

46

Answer:

46

Step-by-step explanation:

4y + 10

4(9) + 10

36 + 10

46

Answer: 1331

Step-by-step explanation: v=lwh

The volume would be 1,331 cm cubed. I hope this helps, have a good day!

Answer:

asasasdcvxcvszs

Step-by-step explanation:dsadsdasz

Answer:

1. <

2. <

Step-by-step explanation:

Have a good day :)

Answer:

Step-by-step explanation:

Answer:

Solution given:

length of cube[a]=6ft

volume of cube =a³=6³=216ft³

again

For cylinder

d=4ft

r=2ft

h=6ft

volume of cylinder=πr²h=π×2²×6=75.4ft³

Now

remaining volume=216-75.4=140.6ft³

is a required answer.

Answer:

the shape would be a triangle

Step-by-step explanation:

any horizontal slice would create a triangle

Answer:46%

Step-by-step explanation:

Answer:

23/50 or 46%

Step-by-step explanation:

I just added red and purple out of the total(red+purple/total=11+12/50=23/50)

then I multiplied the fraction by 2 to get out of 100 for the percentage(23/50*2=46/100=46%)