△ABC
has vertices at

A(3,4),
B(−1,1),

and
C(−2,5)
What is the approximate perimeter of
△ABC?

Final answer:

The y-intercept of the equation y = 2x + 10 is 10, which means the ordered pair for the y-intercept is (0, 10).

Explanation:

The y-intercept of the line given by the equation y = 2x + 10 can be found by looking at the equation in its slope-intercept form, which is y = mx + b. Here m represents the slope of the line, and b represents the y-intercept. Since the y-intercept is the value of y when x is zero, we can determine that the y-intercept for this line is the constant term in the equation, 10. Therefore, the y-intercept as an ordered pair is (0, 10).

Answer:

[tex]f(\frac{2}{9})=1[/tex]

Step-by-step explanation:

we have

[tex]f(x)=3x+\frac{1}{3}[/tex]

we know that

f(2/9) is the value of the function f(x) when the value of x is equal to 2/9

so

For x=2/9

substitute the value of x in the function and solve for f(x)

[tex]f(x)=3(\frac{2}{9})+\frac{1}{3}[/tex]

[tex]f(x)=\frac{2}{3}+\frac{1}{3}[/tex]

[tex]f(x)=\frac{3}{3}[/tex]

[tex]f(x)=1[/tex]

therefore

[tex]f(\frac{2}{9})=1[/tex]

Answer:

C

Step-by-step explanation:

Haley read five more than half as many books as her brother did last summer.

1/2b + 5 = 7 (the amount Haley read)

b = the amount Haley's brother read

Answer:

Step-by-step explanation:

f(x) = 8x + 8

f(x+1) = 8(x+1) + 8

= 8x + 8 + 8

= 8x + 16

Answer:

f(x+1) = 8x + 16

Step-by-step explanation:

f(x+1) = 8(x + 1) + 8 = 8x + 8 + 8 = 8x + 16

Answer:

Step-by-step explanation:

A) bisect an angle

The measure of the angle x is 70 degrees because the sum of the two interior angles is equal to the exterior angle.

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

As we know,

The sum of the two interior angles is equal to the exterior angle.

15 + 35 = x

x = 70 degrees

Thus, the measure of the angle x is 70 degrees because the sum of the two interior angles is equal to the exterior angle.

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Answer:

$16 million (provided that it is in US dollar) is equivalent to 16 orca/killer whales (each costs $1 million)

Explanation:

I'm not sure what equivalent you're looking for, but $16 million is worth a lot of money. You can actually purchase 16 killer whales with that. An orca whale is  the largest member of the dolphin family and most of them can be purchased from Russia.

You may also use the money for a sharing program, such as the 16-million-dollar bike sharing program in Los Angeles. It would be a great advancement in the people's mobility. This will give more liberty to public spaces.

Answer:

7850 square units

Step-by-step explanation:

According to the question;

We are required to find the area of the circle;

Perimeter of a circle = pi × D or 2 pi r

Therefore;

Rearranging the formula;

D = Perimeter ÷ pi

Taking pi to be 3.14

Then;

Diameter = 314 units ÷ 3.14

              = 100 units

But, radius = Diameter ÷ 2

                  = 100 units ÷ 2

                  = 50 units

We also need to know how we calculate the area of a circle;

Area of a circle = pi×r²

Therefore;

Taking pi as 3.14

Then, Area = 3.14 × 50²

                   = 7850 square units

Thus, the area of the circle is 7850 square units

Answer:

35 bottles

Step-by-step explanation:

455

- 175 = 280

280 ÷ 8= 35

Proof

8 x 30= 240

8 × 5= 40

240 + 40= 280

The line passing through the point (4, -6) and perpendicular to the line y=1/4x+4 has an equation in point-slope form of y + 6 = -4(x - 4) and in slope-intercept form, it is y = -4x + 10.

In Mathematics, lines that are perpendicular have slopes that are negative reciprocals of each other. This means if one line has a slope of m, the line perpendicular to it will have a slope of -1/m. The given line has a slope of 1/4, so the line perpendicular to it will have a slope of -4 (negative reciprocal of 1/4).

The point-slope form of a line is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. Thus, the equation of a line passing through the point (4, -6) with a slope of -4 can be expressed as y - (-6) = -4(x - 4), which simplifies to y + 6 = -4x + 16 or y = -4x + 10.

The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept. Therefore, based on our previous findings, the equation of the line in slope-intercept form is y = -4x + 10.

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Answer:

The solution is (0 ,0)

Step-by-step explanation:

–10x – y = 0   (1)

 10x – 4y = 0 (2)

solving by elimination:

(1)+(2)⇒ -5y=0 ⇒ y=0

if we replace y by 0 in the first equation we will get :

–10x – 0 = 0 ⇒ x=0

Answer:

6y+9x

Step-by-step explanation:

Combine like terms.

8y-2y=6y

4x+5x=9x

6y+9x

Answer:9x+6y

Step-by-step explanation:

8y +4y-2y+5x

=8y+4x+-2y+5x

(4x+5x)+(8y+-2y)

Answer:

Area of triangle = 64 cm²

Step-by-step explanation:

Base, b = 16 cm

Height, h = 12 cm

Formula of area of triangle:-

[tex]A=\dfrac{1}{2}\times b\times h[/tex]

[tex]A=\dfrac{1}{2}\times 16\times 8[/tex]

[tex]A=64[/tex]

Hence, the area of triangle is 64 cm²

Answer:

Area of triangle = 64 cm²

Step-by-step explanation:

Answer:

If you're trying to solve for r. r=35

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

r+2r=105

(r+2r)=105(Combine Like Terms)

3r=105

3r=105

Step 2: Divide both sides by 3.

3r/3 = 105/3

r=35

Answer:

'<' (lessthan symbol) and '/' (division symbol)  are the two operations needed here to represent the given expression

In the expression [tex]5<(\frac{x}{3})[/tex]  we are using the '<' (lessthan symbol) and '/' (division symbol)

The expression that represents “five less than the quotient of a number and three” is [tex]5<(\frac{x}{3})[/tex]

Step-by-step explanation:

Given that “five less than the quotient of a number and three”

To find the two operations that are needed to write the given expression :

Let x be the number

“five less than the quotient of a number and three”

can be written as below

[tex]5<(\frac{x}{3})[/tex]

Therefore “five less than the quotient of a number and three”=[tex]5<(\frac{x}{3})[/tex]

The expression that represents “five less than the quotient of a number and three” is [tex]5<(\frac{x}{3})[/tex]

In the expression [tex]5<(\frac{x}{3})[/tex]  we are using the '<' (lessthan symbol) and '/' (division symbol)

'<' (lessthan symbol) and '/' (division symbol)  are the two operations needed here to represent the given expression

Answer:

Step-by-step explanation:

division and subtraction

Answer:

Investing vs. Saving

Step-by-step explanation:

SAVING

Investing

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Answer:

12x+32

Step-by-step explanation:

6(2x+5)+2

12x+30+2

12x+32

Final answer:

The expanded form of 4(7x+3) is achieved by using the distributive property, resulting in the expression 28x + 12.

Explanation:

The expanded form of the algebraic expression 4(7x+3) involves distributing the 4 to both terms inside the parentheses. This is accomplished using the distributive property of multiplication over addition. The steps are as follows:

Multiply 4 by 7x to get 28x.

Multiply 4 by 3 to get 12.

Combine these products to express the expanded form.

Therefore, the expanded form of 4(7x+3) is 28x + 12.

As for evaluating complex expressions such as 2+x(−7+x(2+x(−8+x(−2+3x)))), you would begin by substituting the value of x and simplifying from the innermost parentheses outwards. However, this is a different exercise than simply expanding an algebraic expression.

Answer:

x = 9

Step-by-step explanation:

To find the value of x to make the 2 expressions equal, then equate them, that is

3x - 6 = 2x + 3 ( subtract 2x from both sides )

x - 6 = 3 ( add 6 to both sides )

x = 9

Then

3x - 6 = 3(9) - 6 = 27 - 6 = 21 and 2x + 3 = 2(9) + 3 = 18 + 3 = 21

There are different ways through which you can earn money through a share, either from Exxon or from any other company. These are:

-Through obtaining profits by collecting dividends, which are sums of money that each company pays to shareholders as a way to distribute profits.

-Through the maintenance of the share in the investment portfolio, when it rises in value, it will also cause the shareholder's wealth to rise.

-Through the short investment, seeking to earn money through the "bet" for the fall in the value of the share.

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Answer:

A bag has 2 red marbles, 1 blue marble and 4 gold marbles. What is the probability of drawing two gold marbles, if the first marble is replaced after it is drawn?  The answer is 16/49

Step-by-step explanation:

Answer:

With $134 he can receive 8 moths of internet. Hope this helps

Answer:I would say at least 8:05

Step-by-step explanation:I’m probably doing this wrong but... if you take two away from the seven and add it to 7:58 you get 8:00. But you still have the remaining 5 minutes so you simply add it to the 5:00 and get 5:05.

Answer:

Second option: On a coordinate plane, rectangle A'B'C'D' prime has points [tex](-4,4),(12,4),(12,-4),(-4,-4)[/tex]

(See the graph attached)

Step-by-step explanation:

For this exercise it is importnat to know that a Dilation is defined as a transformation in which the Image (The figure obtained after the transformation) has the same shape as the Pre-Image (which is the original figure before the transformation), but they have different sizes.

In this case, you know that the vertices of the rectangle ABCD ( The Pre-Image)  are the following:

[tex]A(-1,1)\\\\B(3,1)\\\\C(3,-1)\\\\D(-1,-1)[/tex]

Therefore, to find the vertices of the rectangle A'B'C'D' (The Image)  that results of dilating the rectangle ABCD by a factor of 4 about the origin, you need to multiply the coordinates of each original vertex by 4. Then, you get:

[tex]A'=((-1)(4),(1)(4))=(-4,4)\\\\B'=((3)(4),(1)(4))=(12,4)\\\\C'=((3)(4),(-1)(4))=(12,-4)\\\\D'=((-1)(4),(-1)(4))=(-4,-4)[/tex]

Finally, knowing those points, you can identify that the graph that shows the result of that Dilation, is the one attached.

Answer:

answer A

Step-by-step explanation:

Answer:

=4

Step-by-step explanation:

-11+15=4

4-8=-4

-4+4=0

Answer:

decrease of 4F since it started at 8 <3

Step-by-step explanation:

please say thanks !

Answer:

20 TV need to be sold to qualify for the trip.

Step-by-step explanation:

Given: Sale price of each TV is $250

           Sales target to qualify for trip is $5000.

As given, T represent TV sold.

Now, finding the number of TV sold to qualify for the trip.

Forming an inequality for the number of TV sold to qualify for trip.

We know, Total amount of TV sold= [tex]Selling\ price\ of\ each\ TV \times Number\ of\ TV\ sold[/tex]

∴ To qualify for trip: [tex]250T\geq 5000[/tex]

solving it by dividing both side by 250

∴[tex]T\geq \frac{5000}{250}[/tex]

[tex]T\geq 20\ TV[/tex]

Hence, Angelica need to sell minimum 20 TV to qualify for the trip.

Final answer:

The density of the wooden dowel can be determined using the principle of buoyancy to calculate the volume of the submerged part and the total volume of the dowel which, when combined with the mass of the displaced water, provides the density of the dowel.

Explanation:

To determine the density of the wooden dowel based on its flotation characteristics, you can use the principle of buoyancy, which states that the buoyant force exerted on a submerged object equals the weight of the fluid displaced by that object. Since the dowel floats in water, the weight of the displaced water equals the weight of the dowel.

First, calculate the volume of the submerged part of the dowel: The dowel has a diameter of 1.20 cm, and the submerged height is the total diameter minus the portion above water, which is 1.20 cm - 0.400 cm = 0.800 cm. The volume (V) of the submerged cylinder is V = πr^2h, where r is the radius (half the diameter) and h is the submerged height. Plugging in values, V = π(0.6 cm)^2(0.8 cm).

Second, calculate the mass (m) of the dowel using the density (ρ) of water (1 g/cm^3) and the volume of water displaced which equals the volume of the submerged part of the dowel: m = ρ_water * V_submerged.

Finally, to find the density of the dowel, divide the mass of the dowel by the total volume of the dowel. The total volume is the same formula V = πr^2h, but with h being the full diameter of the dowel since it's cylindrical. The density of the dowel is ρ_dowel = m / V_total.

Using these steps, you can calculate the density of the dowel.

Answer:

90.7

Step-by-step explanation:

90.69

where 6 is tenth place

and     9 is hundredth place to the right of the decimal

the rule for decimals is that we look for the hundredth digit, if it is equal to or greater than 5 then 1 is added to the tenth place digit. and remove all the digits to the right

here 9>5

so 6+1=7

we write

90.7 ANSWER