Multiply: (x – 4)(x + 5)

(a) x2 + 5x - 20

(b) x2 - 4x - 20

(c) x2 - x - 20

(d) x2 + x - 20​

Answer:

  8 km

Step-by-step explanation:

Danielle can multiply the scale values by 4 to find the real life distance between the park and the beach.

  1 cm : 2 km . . . . . given scale values

  4 cm : 8 km . . . . . multiply values by 4

The state park and state beach are 8 km apart.

Answer:

[tex]\frac{ {b}^{10} }{ 81 {a}^{2} } [/tex]

Step-by-step explanation:

[tex](9ab^{-5})^{-2} \\ \\ = {9}^{ - 2} {a}^{ - 2} {b}^{ - 5( - 2)} \\ \\ = {9}^{ - 2} {a}^{ - 2} {b}^{10} \\ \\ = \frac{ {b}^{10} }{ {9}^{2} {a}^{2} } \\ \\ \huge = \frac{ {b}^{10} }{ 81 {a}^{2} } [/tex]

Answer:

x= 6.324555320

Step-by-step explanation:

X^2=40

1. Square root both sides

2. You should be left with x=6.32....

Solution: √40 = x

So basically, you have to find x, which is raised to the power of two. To find that, we'll have to square root 40 because square rooting a number is the opposite of squaring a number

So 40 squared = 6.32455532034

A really long number...

Now, let's check our answer

6.32455532034^2 = 40

So therefore, x = 6.32455532034

Hope this helped!!

Answer:

53.1°

Step-by-step explanation:

Look at the right triangle formed. You are given the Hypotenuse and an adjacent side to the angle needed to calculate the measure of the arc.

To find measure of angle use Cosine

Once you find measure of angle (central angle), you'll have the measure of the arc because they are the same.

cos -1 (9/15)  = 53.13

Answer:

83 degrees

Step-by-step explanation:

The angles 56 and 41 plus the one in between should add up to 180 degrees. So you do 180 - 56 - 41 = 83.

83 and x are vertical angles so they are the same measure.

<x = 83 degrees

hope this helps! :)

Answer:

Step-by-step explanation:

Multiply the top equation by 3.

3*(x - y)/3 = 0.5 * 3

(x - y) = 1.5

There is no single solution that satisfies this system. There infinitely many values for x and y that will work. The only restriction is that x - y = 1,5

So if you make y = 3

x - 3 = 1.5                   Add 3 to both results

x - 3 + 3 = 1.5 + 3       Combine

x = 4.5

Infinitely many solutions exist.

Answer:

When simplified, the functions are x < 5 or x > -1

Step-by-step explanation:

answer is provided in the attached picture

Answer:

h(t) = -16t² + 200

distance = 56 ft

Step-by-step explanation:

First of all, we know that the initial velocity (v0) of the rock is 0 ft/s because the rock was dropped. We also know that the initial height of the rock is 200 ft because it was dropped at the top of the well which is 200 ft high. Plugging this information into our quadratic function we get h(t) = -16t² + 200.

Now we need to find the distance from the surface of the water to the bottom of the well. This distance is equal to the height of the rock at time equals 3 seconds. Therefore, all we need to do is find h(3) = -16(3)² + 200 = 56 ft.

Answer:

75

Step-by-step explanation:

The area of a triangle with base b and height h is

1

2

bh. You want to find the area of a triangle with base b=15 inches and height h=10 inches.

Evaluate the expression

1/2

bh for b=15 and h=10

1/2

bh=1/2

(15)(10)

=1/2

(150)

=

75

The area of Larry's tortilla chip is 75 square inches.

[tex]\begin{array}{llll} \textit{logarithm of factors} \\\\ \log_a(xy)\implies \log_a(x)+\log_a(y) \end{array} ~\hspace{4em} \begin{array}{llll} \textit{Logarithm of exponentials} \\\\ \log_a\left( x^b \right)\implies b\cdot \log_a(x) \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\begin{cases} g(x)=8x^6\\\\ f(x)=\log_4(2x) \end{cases}\qquad \qquad \begin{array}{llll} f(~~g(x)~~)=\log_4[~2g(x)~] \\\\\\ f(~~g(x)~~)=\log_4[~2(8x^6)~] \end{array} \\\\\\ f(~~g(x)~~)=\log_4(16x^6)\implies f(~~g(x)~~)=\log_4(4^2x^6) \\\\\\ f(~~g(x)~~)=\log_4(4^2)~~ + ~~\log_4(x^6)\implies \boxed{f(~~g(x)~~)=2~~ + ~~6\log_4(x)}[/tex]

Answer:

y = 8x - 5

Step-by-step explanation:

Given:

To find:

How to find:

The slope is always known as "constant of variation" or "rate of change", but it's basically the increase of both y and x axes in simple terms. The decrease or increase in two points together and then found with the formula of rise/run (increase and decrease) (horizontal line/vertical line).

The y-intercept is always on the y-axis and is the beginning of what is learned in pre-algebra as a "story" which helps students practice finding the slope which again, is the change with "per" or "each".

Make sure to use the formula:

y = mx + b

Now we insert.

y = 8x <---------- slope

y = 8x - 5 <------ y-intercept and completed slope-intercept equation.

The reason it has a negative is because it started out as a negative y-intercept and is increasing by 8 through ordered pairs.

Answer:

y = 8x - 5

Step-by-step explanation:

because if its has a slope of 8 then m is 8

if the y intercept is -5 the b is -5

y = mx + b

y = 8x -5

Answer:

[tex]x =4 + \sqrt{6}, \: \: 4 - \sqrt{6}[/tex]

Step-by-step explanation:

[tex]x^2-8x + 10 = 0 \\ \\ \implies \: x^2-2(x)(4) + 10 = 0\\ \\ \implies \: x^2-2(x)(4) + {(4)}^{2} - {(4)}^{2} + 10 = 0\\ \\ \implies \: x^2-2(x)(4) + {(4)}^{2} - 16 + 10 = 0\\ \\ \implies \: (x - 4)^2 - 6= 0\\ \\ \implies \: (x - 4)^2 = 6\\ \\ \implies \: x - 4 = \pm \sqrt{6} \\ \\ \implies \: x = 4 \pm \sqrt{6} \\ \\ \implies \: x =4 + \sqrt{6}, \: \: x =4 - \sqrt{6}[/tex]

Answer:

The square root is 2357.0224861

Answer:

Well if you are adding then no it is 16 pairs of clothing

Step-by-step explanation:

Answer:

 $22.88

Step-by-step explanation:

The total bill is the subtotal plus tax. The tax is computed by multiplying the tax rate by the subtotal, which is the total of all items being billed.

  subtotal = $5.25 +12.75 +2.99 = 20.99

  tax = $20.99 × 0.09 = $1.89

The total bill is ...

  subtotal + tax = $20.99 +1.89 = $22.88

Answer:
1 bag = 8 pounds
1 pound = 16 ounces
8 pounds = 128 ounces

3 bags = 128 x 3
            =72 ounces

Answer:

x = 6

Step-by-step explanation:

20x + 11 + 9x - 5 = 180 ( linear pair)

29x + 6 = 180

29x = 180-6

29x = 174

x = 6

hence angles are:

20(6) + 11 = 131

9(6) - 5 = 49

Answer:

Solution,

Step-by-step explanation:

20x+11+9x-5=180° (being linear pair)

or, 29x+6=180

or, 29x=180-6

or, 29x=174

or, x=174 ÷29

Therefore x=6°

Answer: -7 and 4

Step-by-step explanation:

Answer:

A, If you still need help

Step-by-step explanation:

relation btw tangent and secant

ab = tangent

bd= secant

ab^2 = bc*cd

x^2 = 9*25= 225

x=15

Compare to y=mx+b

Here slope described the rate of change happened to the price of milk

Answer:

6/8

Step-by-step explanation:

Answer:

3015.99cm³

Step-by-step explanation:

Formula for the volume of a cylinder= V=πr²h

8 = radius

15 = height

V=64π x 15

V = 3015.99cm³ (rounded to 2DP)

Answer:

3014.4 cm^3

Step-by-step explanation:

volume of a cylinder =

[tex]\pi \: r {}^{2} h[/tex]

h = 15

r = 8

pi = 3.14

volume = 3.14 × 8^2 × 15

v = 3.14 × 64 × 15

therefore

v = 3014.4 cm^3

pls give brainliest

Answer:

Two angles whose sum is 90° (that is, one right angle) are called complementary angles and one is called the complement of the other.

Here, ∠AOB = 40° and ∠BOC = 50°

Therefore, ∠AOB + ∠BOC = 90°

Here, ∠AOB and ∠BOC are called complementary angles.

∠AOB is complement of ∠BOC and ∠BOC is complement of ∠AOB.

Step-by-step explanation:

hope it helps

The diagram illustrates congruent and complementary angles

The congruent statement [tex]\angle C \cong \angle P[/tex] is true

The given parameters are:

Angles C and O are complementary angles

Angles P and M are complementary angles

[tex]\angle O \cong \angle M[/tex]

The statement [tex]\angle O \cong \angle M[/tex] means that, angles O and M are congruent angles.

From the figure, we have:

[tex]\angle C = 90 - \angle O[/tex]

Also, we have:

[tex]\angle P = 90 - \angle M[/tex]

Recall that: [tex]\angle O \cong \angle M[/tex]

So, we have:

[tex]\angle P = 90 - \angle O[/tex]

By comparison, we have:

[tex]\angle C \cong \angle P = 90 - \angle O[/tex]

Hence, the statement [tex]\angle C \cong \angle P[/tex] has been proven

Read more about angle proofs at:

https://brainly.com/question/1788884

Answer:

  1/3

Step-by-step explanation:

The simulation will say that Jeffrey collected three different toys if the numbers in a group of three are either 0 or 1, a number more than 1 and less than 6, and a number 6 or more.

The groups {3, 7, 1}, {5, 1, 7}, {9, 2, 0}, {3, 0, 6} and {4, 6, 0} all simulate collection of all three toys from three boxes of cereal. Of the 15 simulated sets of three boxes, that is a probability of 5/15, or 1/3.

_____

Additional comment

The simulated toy numbers can be grouped in different ways. For example, we could take a vertical column of numbers as representing the purchase of 3 boxes of cereal. Doing that, we find 3 different toys only for the simulated values {4, 0, 6}, the last digits in the 4th column. The probability from considering the simulation that way is 1/15.

From this group of 45 numbers, one could calculate P(car) = 10/45, P(bus) = 19/45, and P(airplane) = 16/45. These vary a little from the theoretical values. Overall, with these values, the probability of 3 different toys from 3 boxes is about 0.200, only slightly different from the theoretical probability of 0.192.

Answer:

[tex](4a)^{-3}*^{-4}[/tex]

[tex]x^m*x^n=x^{m+n}[/tex]

[tex](4a)^{-3}*a^{-4}[/tex]

[tex](-4)^{-3}\: a^{-3}*a^{-4}[/tex]

[tex]4^{-3}\:a^{-3-4}[/tex]

[tex]\cfrac{1}{4^3} \:a^{-7}[/tex]

[tex]\boxed{\frac{1}{64a^{7}} }[/tex]

~

[tex](3xy)^2*(-4x^3y^2)^3[/tex]

[tex]9x^2y^2*(64x^9y^6)[/tex]

[tex]\boxed{-576x^{11}y^8}[/tex]

~

[tex](4a^{-1}b^5c^{-3})^3[/tex]

[tex](4)^3(a^{-1})^3(b^5)^3(c^{-3})^3[/tex]

[tex](4*4*4)\:a^{-1*3}\:b^{5*3}\:c^{-3*3}[/tex]

[tex]64\:a^{-3}b^{15}c^{-9}[/tex]

[tex]\boxed{\frac{64b^{15}}{a^3c^9}}[/tex]