Write the point-slope form of a line that has slope −7 and passes through the point (4, 8)

Answer:

[tex]\boxed{\sf{x=\dfrac{25}{2}=12.5}}[/tex]

Step-by-step explanation:

Solve the logarithm function.

Put the logarithm function on one side of the equation and x on the other.

[tex]\sf{\log _{10}(x)+\log _{10}(8)=2}[/tex]

First, subtract by log₁₀(8) from both sides.

[tex]\sf{\log _{10}(x)+\log _{10}(8)-\log _{10}(8)=2-\log _{10}(8)}[/tex]

Solve.

[tex]\sf{\log _{10}(x)=2-\log _{10}(8)}[/tex]

[tex]\sf{\log _{10}(x)=2-\log _{10}(8)=\boxed{\sf{x=\dfrac{25}{2} }}[/tex]

I hope this helps you! Let me know if my answer is wrong or not.

Answer: 4 (4x + 7)

Step-by-step explanation:

4 ( 4x + 7)

4 is the greatest number divisble by both 16 and 28 so 4 is factored out of the equation

Answer:y=x^2 translated 3 to the right gives

y=(x-3)^2,   the vertex shifts from (0,0) to (3,0)

translate it 4 up by adding 4

y=(x-3)^2 + 4, this shifts the vertex up to (3,4)

f(x) = (x-3)^2 + 4   or call it

g(x) = (x-3)^2 + 4  if you want to distinguish it from the original f(x) function

Step-by-step explanation:In this question we have been given a function f(x) = |x|

When we perform a translation of 4 units right then the translated form of the function becomes f(x) = |x - 4|

And when we we translate the function up by 2 units then the transformed form is f(x) = |x - 4| + 2

Therefore the given graph in option B is the correct option.

Answer:

The answer should be 15, since each week the number goes up by 15.

I see a pattern here! Let me show you - multiply 15 by the week number (1, 2, 3, 4, ...), and you have y.

For example, 15 x 3 (for week 3) is 45, as shown by the y value.

So all we must do is multiply 15 by 5, and voila! We'll have our answer. Which, by the way, is 75.

I hope this answers your question!

-Toremi

I assume 3π/2 < x < 2π, so that x is in the 4th quadrant. For angles x terminating in Q4, we have sin(x) < 0 and cos(x) > 0, so tan(x) = sin(x)/cos(x) < 0.

This means that, using the Pythagorean identity,

cos(x) = + √(1 - sin²(x)) = 4/5

tan(x) = (-3/5) / (4/5) = -3/4

Recall the double angle identities:

sin(2x) = 2 sin(x) cos(x) = 2 (-3/5) (4/5) = -24/25

cos(2x) = 2 cos²(x) - 1 = 2 (4/5)² - 1 = 7/25

tan(2x) = 2 tan(x) / (1 - tan²(x)) = 2 (-3/4) / (1 - (-3/4)²) = -24/7

The concentration of pineapple when 2 gallons of pineapple juice are added to 3 gallons of the other juice is 5.75

Given the functions that model the concentration of pineapple when 2 gallons of pineapple juice are added to x gallons of another juice as:

f(x)=(2)(1.0)+x(0.5)²+x

If the concentration of pineapple when 2 gallons of pineapple juice are added to 3 gallons of the other juice, then;

f(3) = (2)(1.0)+3(0.5)²+3

f(3) = 2.0 + 3.75
f(3) = 5.75

Hence the concentration of pineapple when 2 gallons of pineapple juice are added to 3 gallons of the other juice is 5.75

Learn more on functions here: https://brainly.com/question/2833285

diameter=4ft=12(4)=48in

So

Area of table:-

Area of platter:-

Difference:-

Answer:

1554.3 in²

Step-by-step explanation:

Given information:

1 foot = 12 inches

⇒ 4 ft = 4 × 12 = 48 in

Radius = ¹/₂ diameter

⇒ Radius of table = ¹/₂ × 48 in = 24 in

⇒ Radius of platter = 24 in - 15 in = 9 in

Area of a circle = πr²

⇒ Area of table = 3.14 × 24² = 1808.64 in²

⇒ Area of platter = 3.14 × 9² = 254.34 in²

Difference = area of table - area of platter

                  = 1808.64 - 254.34

                  = 1554.3 in²

Answer:

27 bricks

Step-by-step explanation:

find the perimeter of the first one, 4 x 3 = 12. Then the perimeter of the second one, 5 x 5 = 25. Therefore 12 + 15 = 27. Meaning you need 27 bricks

Answer:

[tex]\textsf{A.} \quad \textsf{The slope of the line is }\boxed{\dfrac12}[/tex]

Step-by-step explanation:

[tex]\textsf{let}\:(x_1,y_1)=(12,0)[/tex]

[tex]\textsf{let}\:(x_2,y_2)=(2,-5)[/tex]

[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-5-0}{2-12}=\dfrac12[/tex]

[tex]\textsf{The slope of the line is }\boxed{\dfrac12}[/tex]

Step-by-step explanation:

it is 300,000 for a 3 day contract

Answer:

Divide 108 by 12 since there are 12 inches in a foot.

108 ÷ 12 = 9

Veronica needs to divide 108 inches by 12 to get 9 feet.

To convert inches to feet, Veronica needs to divide the number of inches by 12, as there are 12 inches in a foot.

Given that Veronica wants to convert 108 inches to feet, she should perform the following calculation:

108 inches ÷ 12

= 9 feet

Therefore, Veronica needs to divide 108 inches by 12 to get 9 feet.

To learn more on Conversion factor click:

https://brainly.com/question/32020768

#SPJ6

⠀

Explanation :

⠀

We know,

[tex]{ \longrightarrow{\qquad \pmb {\sf Volume_{(Sphere)} = \dfrac{4}{3} \pi {r}^{3} }}}[/tex]

⠀

Here,

⠀

Substituting the values in the formula :

⠀

[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4}{3} \times3.14 \times {\bigg(7 \bigg)}^{3} }}}[/tex]

⠀

[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4}{3} \times 3.14 \times 343 }}}[/tex]

⠀

[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4 \times 3.14 \times 343}{3} }}}[/tex]

⠀

[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4308.08}{3}}}}[/tex]

⠀

[tex]{ \longrightarrow{\qquad \pmb {\sf Volume_{(Sphere)} = 1436.02 }}}[/tex]

⠀

Therefore,

x is equal to 3 ..

Step-by-step explanation:

hope this helps

Answer:

His annual net income.

Step-by-step explanation:

Hope it helps.

Answer:

  385.6 m²

Step-by-step explanation:

The surface area of a prism is the sum of the surface areas of each of the faces. A triangular prism has two triangular faces and three rectangular faces. The areas of the rectangular faces will have a total equal to the perimeter of the triangle times the height of the prism.

__

  Area = 2×triangle area + lateral area

  = 2(1/2)(bh) +PH

  = (16 m)(5.6 m) + (6 +15 +16 m)(8 m)

  = 89.6 m² +296 m² = 385.6 m²

The surface area of the triangular prism is 385.6 square meters.

_____

Additional comment

In the above formula, we have used ...

Answer:

1) 728

2) 274.89

Step-by-step explanation:

Find the volume and surface formulas for each shape attached.

I'll do a couple for you. For rest just use the formulas and input the values and solve.

1) It is a pyramid.

V  = 1/3 * b * h, where b is the area of base, which is a rectangle so,

b = l * w

so,

V = 1/3 * l * w * h

V = 1/3 * 8 * 21 * 13

V = 1/3 * 2184

V = 2184 / 3

V = 728

2) It is a cylinder

[tex]V = \pi *r^2*h[/tex]

V = π * 5^2 * 3.5

V = π * 25 * 3.5

V = 87.5 π

V = 274.89

Answer:

See below in bold.

Step-by-step explanation:

Let the length of the shortest side be x, then the longest side = 2x.

Also  x + y = 2x  + 1   where y = length of the middle side,

Simplifying:

2x - x - y = -1

x - y = -1        (A)

Also as the perimeter = 7:

x + 2x + y = 7

3x + y = 7       (B)

Adding (A) and (B):

4x + 0 = 6

x = 6/4 = 1.5

Plug x = 1.5 into equation B:

3(1.5) + y = 7

y = 7 - 4.5 = 2.5.

Answer:

So the shortest side = 1.5, middle = 2.5 and longest = 2*1.5 = 3.

Answer:

37 5/7

Step-by-step explanation:

use formular it will be 2pie -22/7 ×radius

since we have been given only radius it will be

2×22/7×6=37 5/7

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's find the circumference of given circle ~

Circumference :

[tex] \qquad \tt  \dashrightarrow \: 2\pi{r}^{} [/tex]

where, r = radius

Now, let's calculate it ~

[tex] \qquad \tt  \dashrightarrow \: c = 2×\pi{}^{}×6 [/tex]

[tex] \qquad \tt  \dashrightarrow \: c = 12\pi\: \: m[/tex]

That's the answer I terms of π, but we can also plug in the approximate value of pi as 3.14

[tex] \qquad \tt  \dashrightarrow \: c = 12 \times 3.14{}^{} [/tex]

[tex] \qquad \tt  \dashrightarrow \: c = 37.68\: \: m[/tex]

[tex] \qquad \tt  \dashrightarrow \: c \approx 37.7\: \: m[/tex]

Answer:

B. 6 cookies

Step-by-step explanation:

Given :

Number of chocolate chip

su masa atómica es de 4 creo

Answer:

12.6 = c

Step-by-step explanation:

The Pythagorean therom is a^2 + b^2 = c^2

We already know 2 varibles (12 and 4) so we can just plug them in.

12^2 + 4^2 = c^2

144 + 16 = c^2

160 = c^2

[tex]\sqrt{160}[/tex] = [tex]\sqrt{c^2}[/tex]

12.6 = c

Hope this helps :)

Answer:

y = (4/3)x

Step-by-step explanation:

Two points on the line are the origen (0, 0) and the given (9, 12).

Starting at the origin and moving to (9,  12), we see the change in x being 9 and that in y being 12.  Thus, the slope of the line through these two points is m = rise/run = 12/9 = 4/3.

Thus the equation of the line in slope-intercept form is y = (4/3)x + 0, or

just y = (4/3)x

Answer:

  y = 1.36x

Step-by-step explanation:

There will be no touchdown throws if no games are played. The y-intercept must be zero. That is, the number of touchdown throws is considered to be proportional to the number of games, with the constant of proportionality being 1.36:

  y = 1.36x

Step-by-step explanation:

Using distance formula,

Let the distance between point E and F = ef,

[tex]ef = \sqrt{{(7 - 1)}^{2} + {(2 - 9)}^{2} } \\ ef = \sqrt{85} \\ = 9.219544457[/tex]

Answer:

The answer is 15

Step-by-step explanation:

f(x) = -4x + 3, f(-3)

f(-3) = -4x + 3

f(-3) = -4(-3) + 3

f(-3) = 12 + 3

f(-3) = 15

Thus, The answer is 15

Answer:

f(-3)=-4(-3)+3

=12+3=15

Step-by-step explanation:replace x with -3

[tex] \frac{(1 - \cos(a))(1 + \cos(a)) }{(1 - \sin(a) )(1 + \sin(a)) } = \\ [/tex]

[tex] \frac{1 - {cos}^{2}(a) }{1 - {sin}^{2}(a) } = \\ [/tex]

[tex] \frac{ {sin}^{2}(a) }{ {cos}^{2}(a) } = \\ [/tex]

[tex] {tan}^{2} (a)[/tex]

Answer:

Step-by-step explanation:

The ratios of the numbers shown in the table are all ...

  y/x = 16/4 = 20/5 = 4

Then the missing y-value is ...

  y = 4x

  y = 4(2) = 8

__

And the missing x-value is ...

  36 = 4x

  36/4 = x = 9

_____

Additional comment

The x- and y-values in a "ratio table" are proportional to each other. That means the y corresponding to half an x-value will be half the y-value. In other words, the y for x=2 will be half the y for x=4, or 16/2 = 8.

Also, the values add. We notice that y=36 is the sum of y=16 and y=20. This means the corresponding x-value for y=36 will be the sum of x=4 and x=5, or x = 4+5 = 9.