Select the correct answer. What are the solutions to this quadratic equation?
A)x=4+sqrt 10
B)x=-2+4 sqrt 10
C)x=4+2 sqrt 10
D)x=-4+4 sqrt 10

Answer:

Surface area of the given prism = 63 square feet

Step-by-step explanation:

Surface area of the given triangular prism = Area of two triangular bases + Area of three vertical rectangles

Area of triangular bases = 2[[tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]] (Since the bases of this prism are right triangles)

                                        = 3 × 3

                                        = 9 square ft

Area of one vertical rectangular face = (Length × Width)

                                                             = (3 × 6)

                                                             = 18 square feet

Area of all vertical sides = 3 × 18 = 54 square feet

Total surface area = 9 + 54 = 63 square feet

Answer:

x=6

Step-by-step explanation:

h(x) = -( x-2)^2 +16

We want when h(x) = 0

0 = -( x-2)^2 +16

Subtract 16 from each side

-16  = -( x-2)^2 +16-16

-16 = -( x-2)^2

Divide by -1

16= ( x-2)^2

Take the square root of each side

±sqrt(16) = sqrt(( x-2)^2 )

±4 = x-2

Add 2 to each sdie

2 ±4 = x-2+2

2+4 = x     2-4 =x

6 =x           -2 =x

since time cannot be negative

x=6

Answer:

The weight of an object is defined as the force of gravity on the object and may be calculated as the mass times the acceleration of gravity, w = mg. Since the weight is a force, its SI unit is the newton.

hope that helps love!

Answer:

Edge length of the cube = 27 m

Dimensions of the box is length = 135 m, width = 81 m, height = 27 m

Step-by-step explanation:

The box contains 15 identical cubes therefore, we have

Edge length of cube = Side, s, of cube

15 × s³ = 295245 m³

∴ s³ = 295245/15 = 19683 m³

s = ∛19683 = 27 m

Hence the edge length of the cube = 27 m

The dimension of the box is length =  5 × 27 = 135 m

Width = 3 × 27 = 81 m

height = 27 m.

[tex]\frac{3-5x}{-4}[/tex]

[tex]\frac{3+-5x}{-4}[/tex]

[tex]\frac{-5x+3}{-4}[/tex]

[tex]\frac{5}{4} x+\frac{-3}{4}[/tex]

[tex]\frac{5x-3}{4}[/tex]

Step-by-step explanation:

For instance, though not like terms, subtract

5-3/4= 2/4= 1/2

3-5/-4= -2/-4, -ve plus -ve hence +ve

+ve 1/2

They are the same

Answer:

Given expression is [tex]\frac{1}{\text{cosec}A-1}-\frac{1}{\text{cosecA+1}}[/tex] = 2tan²A

We have to prove this identity.

[tex]\frac{1}{\text{cosec}A-1}-\frac{1}{\text{cosecA+1}}=\frac{(\text{cosecA+1})-(\text{cosecA-1})}{(\text{cosecA-1})(\text{cosecA+1})}[/tex]

                              = [tex]\frac{(\text{cosecA}-\text{cosecA})+(1+1)}{cosec^2A-1}[/tex]

                              = [tex]\frac{2}{cosec^{2}A-1}[/tex]

                              = [tex]\frac{2}{cot^{2}A}[/tex] [From the identity, (cosec²A - 1) = cot²A]

                              = 2tan²A [From the identity, cotA = [tex]\frac{1}{\text{tan}A}[/tex]]

Hence the given equation is proved.

Answer: (A) [tex]2.2\text{ in}^3/\text{cookie}[/tex] .

Step-by-step explanation:

From the given table , the dimension of the container for the 90cookies = 11 inch x 6 inch x 3 inch

Then, the volume of the container would be [tex]11\times6\times3= 198 \ in^3[/tex]

Then, the ratio of cubic inches per cookie would be

[tex]=\dfrac{\text{Volume of container}}{\text{Number of cookies in it}}\\\\=\dfrac{198}{90}\\\\=2.2\text{ in}^3/\text{cookie}[/tex]

So, the the ratio of cubic inches per cookie would be [tex]2.2\text{ in}^3/\text{cookie}[/tex] .

Hence, the correct option is (A) [tex]2.2\text{ in}^3/\text{cookie}[/tex] .

Answer:

6^21 = B

Step-by-step explanation:

[tex][6^{7} ]^{3} \\(6)^7^*^3\\6 ^{21} \\[/tex]

Answer:

B

Step-by-step explanation:

When solving exponents with parenthesis around the base + sub exponent, always multiply the two exponents. Basically, when the two exponents are right next to each other, you multiply them. When you multiply 7 and 3, you get 21; therefore, the answer is 6 to the power of 23.

Answer:

x>3

Step-by-step explanation:

2x + 10 < 5x + 1

Add -5x and -10 on both sides of the inequality.

2x + 10 -10 -5x < 5x + 1 -5x -10

2x -5x < 1 -10

Subtract like terms.

-3x < -9

Multiply -1 and reverse the inequality.

3x>9

Divide 3 into both sides of the inequality.

3x/3>9/3

x>3

Answer: x > 3

Step-by-step explanation: Put your x's together on the left side of the inequality by subtracting 5x from both sides to give you -3x + 10 < 1.

Next, put your numbers together on the right by

subtracting 10 from both sides and we have -3x < -9.

To get x by itself, divide both sides by -3, but watch out.

If you multiply or divide both sides of an inequality by a negative,

you must switch the direction of the inequality sign.

Please give this idea your full attention.

Even the most advanced algebra students will sometimes forget to

switch the direction of the inequality sign when multiplying or

dividing both sides of an inequality by a negative.

So we have x > 3 as our answer.

I have graphed the solution below.

Answer:

B.$43.95

Step-by-step explanation:

Commission = 15% of $

[tex] = \frac{15}{100} \times 293 \\ \\ = 0.15 \times 293 \\ = \$ 43.95[/tex]

Answer:

x = -6/7

Step-by-step explanation:

5 – 6x = 8x + 17

-5                 - 5           Subtract 5 from both sides

-6x = 8x + 12

-8x   - 8x                     Subtract 8x from both sides

-14x = 12                      Divide both sides by -14

x = -12/14                     Simplify

x = -6/7

Answer:

Step-by-step explanation:

f(x)=4x+1

g(x) = x^2-5

(f*g)(x) = 4x^3+x^2-20x-5

Answer: c - 10

Step-by-step explanation:

Feom the question, we are told to wrote an expression that can be used to represent the following situation: 10 dollars less than catilian.

The first thing that we need to do is to represent catilian by an alphabet.

Let catilian be denoted by c.

Since we are told that 10 dollars is less than catilian. The expression will be:

= c - 10

Solution,

Principal (P)=$200

Time(t)=3 years

Rate(R)=7.5%

Now,

Simple Interest=PTR/100

=200*3*7.5/100

=4500/100

= $45

Hope it helps

good luck on your assignment

Answer:

C  y =2x -3  

Step-by-step explanation:

The y intercept is the value when x =0

A y = -4x+15   The y intercept is 15

B The y intercept is -2

C  y =2x -3   The y intercept is -3

D   The y intercept is 2

The smallest ( least) y intercept is -3

Answer:

y = 2x - 4

Step-by-step explanation:

Slope intercept form should be the easiest because they give you all you need.

y = mx + b

m = 2

b = -4

y = 2x - 4

[tex]364 \times 3[/tex]

[tex]= 1092[/tex]

Answer:

2.25 +3/4x = y

Step-by-step explanation:

2.25 +3/4x = y

Step-by-step explanation:

each can is R is 4 so her width is 8. 6×8= 48 4×8=32 so it means the cardboard is 32×48. now calculate the area (1536 i think) and reduce 24×4^2×pi that this is the area of the cans.

Answer:

f(x)=2e^x

Step-by-step explanation:

graphic calculator

Answer:

B

Step-by-step explanation:

Answer:

The vertical angles theorem

Step-by-step explanation:

The correct answer is the vertical angles theorem, which states that vertical angles, angles that are opposite each other and formed by two intersecting straight lines, are congruent

Answer:

Step-by-step explanation:

3) ∠JKN =∠ MKL Vertical angles theorem  - Vertically opposite angles are equal

4) ΔJKN ≅ΔMKL     AAS congruency

5) ∠J ≅ ∠ M    CPCTC

Answer:

-9s2 + 4s -2

Step-by-step explanation:

(–6s2 + 12s – 8) – (3s2 + 8s – 6)=

(-6s2-3s2) +12s-8s -8+6=

-9s2 + 4s -2

Answer:

[tex]-9s^2+4s-2[/tex]

Step-by-step explanation:

Step-by-step explanation:

30 - 5x > 2x + 9

-7x > -21

x < 3

Answer:

g = 12

Step-by-step explanation:

–19g = –20g + 12

Add 20 g to each side

–19g+20 g = –20g+ 20g + 12

g = 12

Answer:

g = 12

Step-by-step explanation:

→The first step is to add 19g to both sides:

-19g = -20g + 12

+19g   +19g

____________

0 = -g + 12

→Subtract 12 from both sides:

0 = -g + 12

-12       -12

_________

-12 = -g

→Divide both sides by -1:

12 = g

Answer:

u = 9  and u = -9

Step-by-step explanation:

u^2 = 81

Take the square root of each side

sqrt(u^2) =± sqrt(81)

u = ±9

Answer:

Brainliest!!!

Step-by-step explanation:

[tex]\sqrt{81}[/tex] or ±9

they both equal the equation u^2 = 81

Answer:

x = 52y

Step-by-step explanation:

The answer is B i.e. one

Answer:

48%

Step-by-step explanation:

12 out o 25 are broken

so, 12/25 = .48 * 100 = 48%

Hope this helps!

Answer:

The answer to this question is 48% is broken