What is line parallel to -x?

Answer: Olympic National Park

Established 1938

Size: 922,651 acres

Scientific notation exists as a method of writing very large or very small numbers. The expression as a number in scientific notation is 2.5 × [tex]10^5[/tex], 3.5 × [tex]10^{-7[/tex], 1 × [tex]10^{-8[/tex], 3.24 × [tex]10^{17[/tex],

Utilizing scientific notation, one can express extremely big or extremely small values. When a number between 1 and 10 is multiplied by a power of 10, the result is represented in scientific notation.

To express exceedingly high numbers in a shorter manner, scientists have created a shorthand. Scientific notation is the name of this technique. The foundation of scientific notation is the base-10 powers. The coefficient is defined as the initial number, 1.23.

The guidelines for writing scientific notation.

Always start with a base of 10.

The exponent may have both positive and negative values and must be a non-zero integer.

The absolute value of the coefficient is more than or equal to 1, even though it should be less than 10.

Whole numbers, decimal numbers, positive, negative, or both can all be used as coefficients.

The mantissa represents the remaining significant digits of the number.

The expression as a number in scientific notation is 2.5 × [tex]10^5[/tex], 3.5 × [tex]10^{-7[/tex], 1 × [tex]10^{-8[/tex], 3.24 × [tex]10^{17[/tex],

To learn more about scientific notation, refer to:

brainly.com/question/1767229

#SPJ4

Answer:

x ≥ 8

Step-by-step explanation:

  x

-------  ≥  4(2)

  2(2)

x ≥ 8

[8, ∞)

I hope this helps!

You can either form no triangles or an endless number of triangles when you are given three angles.

For Example -

How many distinct triangles can you construct using angles of 30, 60, and 90 degrees?

Use a protractor to create one of the angles needed to form a triangle. You can adjust the side lengths to your desired length. Make another angle at the end of one of the sides, then link the sides together. You've constructed a triangle.

You should note that you chose the side lengths. This implies that you might choose differently. This allowed you to create an infinite number of distinct triangles using the same angles.

Hence, we can form infinite number of triangles when only the measurements of three angles is given

To learn more about, Triangles here

https://brainly.com/question/2773823

#SPJ4

Answer:

115 ≤ 25a+15

-15. -15

100 ≤ 25a

100/25 ≤ 25/25 a

4≤a

Answer:

    25x + 15 > 115

Step-by-step explanation:

Subtract 15 from both sides

25x+15-15 > 115-15

Simplify

25x > 100

Divide both sides by 25

25x/25 > 100/25

Simplify

x > 4

Sorry if it doesn't help

The value of q for the given relation will be 32.

A sort of proportionality known as "direct variation" occurs when one quantity immediately changes in response to a change in another variable.

This suggests that if one number increases, the other quantity will also rise proportionately. Similar to the last example, if one quantity declines, the other amount likewise declines. The link between direct variation and the graph will be linear, resulting in a straight line.

As q varies jointly with v and s,

It implies that

q = k v s

Given,

q=24 when v=2 and s=3

24 = k × 2 × 3

k = 24 / 2 × 3

k = 4

When we put v = 4 and s = 2

⇒ q = 4 × v × s

⇒ q = 4 × 4 × 2

⇒ q = 32

To learn more about direct variation from given link

https://brainly.com/question/6499629

#SPJ4

Answer:

$1,025.52

Step-by-step explanation:

Annual Compound Interest Formula

[tex]\large \text{$ \sf A=P\left(1+r\right)^{t} $}[/tex]

where:

Given:

Substitute the given values into the formula and solve for P:

[tex]\implies \sf 3900=P(1+0.16)^9[/tex]

[tex]\implies \sf 3900=P(1.16)^9[/tex]

[tex]\implies \sf P=\dfrac{3900}{(1.16)^9}[/tex]

[tex]\implies \sf P=\dfrac{3900}{3.802961...}[/tex]

[tex]\implies \sf P=1025.51662...[/tex]

Therefore, you would need to invest $1,025.52.

Learn more about annual compound interest here:

https://brainly.com/question/28263709

The equation of the line in slope-intercept form is y = 3x + (-7) .

The equation of a line in slope-intercept form can be written as follows,

y = mx + c                                                       equation 1

m in the above equation represents slope of the line and c represents the intercept.

The given equation is -7 -y = -3x .

To get the equation of the line in slope-intercept form we need to convert the given equation in the format of equation of a straight line i.e., equation1. So, now we will rearrange the given equation as

    -7 -y = -3x

⇒ y = 3x + (-7)                                             equation 2

On equating equation 1  and equation 2, we will get

Slope of the line = m = 3

Intercept = c = -7

The equation of the line in slope-intercept form is y = 3x + (-7)  .      

To know more about Slope Intercept form refer to the link:

https://brainly.com/question/19440459

#SPJ4

  The distance between 37th St. and 36th St. is

x= 275ft

 Similar triangles are those that share at least one vertex and the angular value between the sides associated to their sides is the same, which makes them proportional in their dimensions (same type of triangle).

  To solve this problem we will use the relation of similar triangles, if we raise the equation we have the following way:

x /275 = 220/220

  Proportion of the sides

x/275 = 1

x = 275 ft ,  is the distance x between the lanes N° 37 and 36.

Learn more about similar triangles in:

https://brainly.com/question/14285697

#SPJ4

Answer:

Step-by-step explanation:

x²-6x+9 = 0

Factor

(x-3)(x-3) = 0

x = 3

Answer:

x = 3

Step-by-step explanation:

We need to find to numbers that sum up to make -6 but their product is +9 :

-3 and -3 will do :

Now we split -6x into -3x and -3x :

x² -3x -3x + 9 = 0  

Factorise the first 2 terms:

x(x-3)

Keeping the terms inside the bracket the same as the 1st one factorise the next 2 terms :

x(x-3)-3(x-3) = 0

Keep 1 bracket and make another bracket out of the terms that are outside the brackets :

(x-3)(x-3) = 0

Using the integer rule :

a × 0 = 0

We know that one of these brackets are equal to zero :

x-3= 0

Add 3 to both sides :

x = 3

The other bracket is the same so our final answer is x = 3

Hope this helped and have a good day

It would be nice of you to give brainliest

Answer:

25 cm

Step-by-step explanation:

triangle abc is Mathematically similar

The statement "If lines p and q are parallel, then angles 3 and 6 are congruent" is false because "If lines p and q are parallel, then angles 3 and 6 are supplementary".

Given,

The statement "If lines p and q are parallel, then angles 3 and 6 are congruent"

We know,

when two parallel lines are intersect by a transversal then the  interior angles on the same side of the transversal is supplementary.

Here, ∠3 and ∠6 are interior angles on the same side of the transversal, So the ∠3 and ∠6 are supplementary

So, the correct statement is "If lines p and q are parallel, then angles 3 and 6 are supplementary"

Hence, the statement "If lines p and q are parallel, then angles 3 and 6 are congruent" is false because "If lines p and q are parallel, then angles 3 and 6 are supplementary".

The complete question is:

State whether the sentence is true or false. If false, replace the underlined word or number to make a true sentence.

If lines p and q are parallel, then angles 3 and 6 are congruent.

Learn more about supplementary angles here

brainly.com/question/13045673

#SPJ4

Answer:

1.4 should be added..................

Step-by-step explanation:

Hello, and thank you for asking your question on Brainly!

This problem is basically telling is to isolate the variable g. But how are we to do so, when it's being sandwiched inside a variety of numbers and letters? The problem looks harder than it seems. But do not fret!

When you're in a trail in the woods and you get lost, the most logical thing is to do the opposite of where you just went in order to try and reach home. We can use this same analogy for math. We just try and use the opposite operation for every action that the function is being acted on!

Let be the original equation,

[tex]u=\sqrt{Ng+Q^3 }[/tex]

Looks pretty complicated right? We want to isolate the variable g, so let's get rid of this 'roof' over their heads.

To get rid of the square root, we can square both sides by two; this negates the square root, and opens up the right section of the equation.

[tex]u=\sqrt{Ng+Q^3 }[/tex]

[tex]u^2 =(\sqrt{Ng+Q^3 })^2[/tex]

[tex]u^2=Ng+Q^3[/tex]
Now, we have to make sure we get the variable g alone. Let's subtract Q cubed to the other side, we can subtract it over to get rid of it on the right hand side.

[tex]u^2=Ng+Q^3\\-Q^3 ~~~~~ -Q^3[/tex]

[tex]u^2-Q^3=Ng[/tex]
We're almost close! Now, all we have to do to isolate the variable g is to divide the whole equation by N, so the right hand side it cancels out. This is the opposite of N multiplied by g.

[tex]\frac{u^2-Q^3}{N} =g[/tex]

It wasn't so bad now, was it? I hope this helped! g is now isolated and this is the end of the problem.

The value of Slope is undefined for given points.

A Line's Slope

The increase divided by the run, or the ratio of the rise to the run, is known as the line's slope. In the coordinate plane, it describes the slope of the line. Finding the slope between two separate locations and calculating the slope of a line are related tasks.

The formula to calculate the slope is

Slope of the line passing through 2 points is y₂ - y₁ / x₂ - x₁

points given are  (9,3) and (9,-4)

after putting it in the formula,

⇒ -4 - 3 / 9 - 9

It implies that the slope is undefined.

Line is parallel to y axis, x = 9

To learn more about slope of line from given link

https://brainly.com/question/3493733

#SPJ4

The correct answer is 1.19×10³ lbs.

The weight of first animal = 5.12×10² lbs

Performing multiplication to get the complete weight of first animal

The weight of first animal = 512 lbs

The weight of second animal = 6.8×10² lbs

Performing multiplication to get the complete weight of second animal

The weight of second animal = 680 lbs

Now, performing addition to find the approximate weights of two animals-

Final answer = 512 + 680

Performing addition to find the approximate weights of two animals

Final answer = 1192 lbs

Now, converting the number in scientific notation -

Final answer = 1.19×10³ lbs

Hence, the final answer in significant digits is 1.19×10³ lbs.

Learn more about calculations of sum in scientific notation -

https://brainly.com/question/28453758

#SPJ4

By the definition of supplementary angles, angle 1 + angle 2 = 180° and angle 2 + angle 3 = 180°. Then angle one + angle 2 = angle 2 + angle 3 = 180°. Subtract angle 2 from each side. You get angle 1 = Angle 3 or angle 1 ≅ angle 3.

It should be noted that supplementary angles are the angles that their sum equals to 180°.

Therefore, angle 1 + angle 2 = 180° .... i

angle 2 + angle 3 = 180° .... ii

Equate equation i and ii and subtracting angle 2 from both sides will illustrate that angle 1 = angle 3.

Learn more about angles on:

https://brainly.com/question/1553934

#SPJ1

Complete the paragraph proof.

Given: angle 1 and angle 2 are supplementary, and angle 2 and angle 3 are supplementary.

Prove: angle 1 ≅ angle 3

By the definition of supplementary angles, angle 1 + angle 2 = _____(a) and angle 2 + angle 3 = ____ (b). Then angle one + angle 2 = angle 2 + angle 3 ______(c). Subtract angle 2 from each side. You get angle 1 = ______(d), or angle 1 ≅ ______(e).

Answer: x<-5

Step-by-step explanation:

[tex]2.5 < (-0.5)(x)\\2.5 < -0.5x\\[/tex]

Multiply both parts of the equation by 2:

[tex]5 < -x\\5+x < -x+x\\5+x < 0\\5+x-5 < 0-5\\x < -5[/tex]

Answer:

d

Step-by-step explanation:

Based on the calculations, the length of the zoo railroad track which does not need to be replaced is equal to 3543/8 or 442.875.

A fraction can be defined as a numerical quantity which isn't expressed as a whole number. This ultimately implies that, a fraction is simply a part of a whole number.

In Mathematics, a fraction comprises two (2) main parts and these include the following:

In order to determine the length of the zoo railroad track which does not need to be replaced, we would add all of the length of the zoo railroad track that need to be replaced and then subtract this value from the total length of the zoo railroad track as follows:

Length of replacement = 62/2 + 83/8 + 63/4

Note: Lowest common denominator (LCM) = 8.

Length of non-replacement = (248 + 83 + 126)/8

Length of non-replacement = 457/8

Length of replacement = 500 - 457/8

Length of replacement = (4000 - 457)/8

Length of replacement = 3543/8 or 442.875.

Read more on fractions here: brainly.com/question/2194108

#SPJ1

Answer:

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

-15x + 44 = 8x - 12

-8x -8x

-7x + 44 = -12

- 44 - 44

-7x = -56

x = 8

The slope between the two given points (4,5) as well as (1,8) is -1.

A line's slope is a measure of its steepness & direction.

The slope of a line is defined as a change in y coordinate in relation to a change in x coordinate.

        m = Δy/Δx

        where,m is the slope

Now, as per the stated question;

The slope of a line can be calculated using only two points on a straight line. With the coordinates of two points, we can employ the slope of line formula.

Let the coordinates of those 2 points from where the line is passing is;

P1 = (x₁, y₁)

P2 = (x₂, y₂)

The slope of the  line is estimated as;

Slope = m = tan θ = (y₂ - y₁)/(x₂ - x₁)

The values of the coordinates are given as;

(x₁, y₁) = (4,5) and,

(x₂, y₂) = (1,8)

Substitute the given values of coordinates in the formula to get the slope;

m = (8 - 5)/(1 - 4)

m = 3/(-3)

m = -1

Therefore, given the coordinates of such two points, the slope of a line passing through them is found to be -1.

To know more about the slope of a line, here

brainly.com/question/24485387

#SPJ4

The area of the parallelogram is 54 square units.

In this question we have been given a parallelogram

We need to find the area of the parallelogram.

Here, the slant height of the parallelogram is 8 units.

the base of the parallelogram is 9 units.

And the height of the parallelogram is 6 units.

We know that the area of the parallelogram is,

A = base × height

⇒ A = 9 × 6

⇒ A = 54 square units

Therefore, the area of the parallelogram is 54 square units.

Learn more about the area of parallelogram  here:

https://brainly.com/question/19187448

#SPJ1

Step-by-step explanation:

it is simple for such a line.

x goes to -infinity, and therefore y (or f(x)) also goes to -infinity.

x goes to +infinity, and therefore y (or f(x)) also goes to +infinity.

the difference between x and y values is just a constant factor (the slope). that constant factor becomes irrelevant, when the values approach infinity anyway. only the sign is relevant.

but in our case the slope is +1/+2 (the y value increases by +1 for every increase of x by +2).

so, the line (as we can see in the graph) is

y = 1/2 × x - 1

when x goes to +infinity, "-1" is irrelevant, and

1/2 × +infinity = +infinity.

when x goes to -infinity, again, "-1" is irrelevant, and

1/2 × -infinity = -infinity