The distance between 2 points is found by ________ the x terms and squaring the result, _________ the y terms and squaring the result, taking the sum of the results and then finding the square root of the sum.
subtracting; subtracting
adding; adding
adding; subtracting
subtracting; adding
Answers
The goal is to find the legs of the right triangle, so you can find the hypotenuse. The hypotenuse is the distance between the two points. See the attached image.
Answer:
A)
subtracting; subtracting
Step-by-step explanation:
Related Questions
Jen has 12 ounces milkshake. 4 ounces in the milkshake are vanilla, and the rest is chocolate. What are two equivalent fractions that represent the fractions of the milkshake that is vanilla?
Answers
There are two parts two a fraction. The top part is called the numerator, which shows how many of the parts indicated by the denominator are taken.
The bottom part is called the denominator, which is the total amount of that particular thing.
In this case, 12 would be the denominator and the and 4 would be the numerator. Your fraction would look like:
4/12
Now, this question asks for equivalent fractions. An equivalent fraction is a fraction that is equivalent to the first fraction.
To equivalent fractions could be:
2/6 and 1/3
How I got these fractions? I simply divided the numerator and denominator by 2, and then again by 2 to get 1/3.
Good Day!
WILL GIVE A BRAINLEST !!!!
The graph of a logarithmic function is shown below.
What is the domain of the function?
x < 0
x > 0
x < 1
all real numbers
Answers
Hope this helps!
Answer: The correct option is second, i.e., x>0.
Explanation:
As we know that the domain is the set of all possible inputs. If function is defined as, f(x) then all possible value of x for which the function f(x) is defined is called domain.
In a graph the domain is defined on the x axis and the range of the function is defined on y-axis.
In the given graph the function is defined from x=0 to [tex]x=\infty[/tex] because for [tex]x\leq 0[/tex] the graph is not defined. It means for [tex]x\leq 0[/tex] the function is not defined.
Sicen the graph is defined for all positive values of x, therefore the domain of the function is al real number greater than 0. It can be written as x>0 and the second option is correct.
Solve. 2m^2-7m-13=-10
Answers
[tex]2m^2-7m-13=-10\ \ \ |+10\\\\2m^2-7m-3=0[/tex]
[tex]a=2;\ b=-7;\ c=-3\\\\b^2-4ac=(-7)^2-4\cdot2\cdot(-3)=49+24=73\\\\m_1=\dfrac{-b-\sqrt{b^2-4ac}}{2a};\ m_2=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\\\m_1=\dfrac{-(-7)-\sqrt{73}}{2\cdot2}=\dfrac{7-\sqrt{73}}{4}\\\\m_2=\dfrac{-(-7)+\sqrt{73}}{2\cdot2}=\dfrac{7+\sqrt{73}}{4}[/tex]
Marcus has a total of 10 nickels and dimes in his pocket. he has a total of 70 cents. how many dimes does he have in his pocket?
Answers
1 nickel = $0.05
1 dime = $0.10
4 dimes = $0.40
6 nickels = $0.30
4 dimes + 6 nickels = 10 coins
$0.40 + $0.30 = $0.70
The answer is: He has a total of 4 dimes in his pocket.
Find the area of circle B in terms of π.
Answers
Answer:
(2.25π) yd²
Step-by-step explanation:
The area of a circle is given by the formula:
[tex]\boxed{\text{Area of circle}=\pi r^{2} }[/tex] , where r is the radius.
In this question, the radius is 1.5 yd.
Substitute r= 1.5 into the formula:
Area of circle B
[tex]=\pi (1.5)^2[/tex]
= (2.25π) yd²
Additional:
For more questions on area of circle, do check out the following!
https://brainly.com/question/15245049Solve for x where a is an integer less than 0
Answers
So to do this, simply change the sign for a to -a in the original equation and solve for x.
-ax > -12
X < 12/a.
This is the solution.
18 points were scored by one figure skating pair that was 40% of your final score. What was the final score for that pair of figure skaters?
Answers
We have following information
18 points = 40%
We need to find out the final score. Let's use x for final number of points.
x points = 100%
We can write this:
18 points = 40%
x points = 100%
We cross multiply numbers
18*100=x*40
1800=40x /:40
1800/40=x
x=45
The final score was 45 points.
Yu-Xi draws a triangle with two angles measuring 79 degrees and 23 degrees.What is the measure, in degrees, of the third angle?
Answers
180-102=78
the third angle is 78 degrees
Answer:
The Triangle Drawn by ,Yu-Xi,has measure of two angles ,79° and 23°.
All the Basic Learners who knows Math ,that,sum of Measures of three Interior angles of Triangle is 180°.
→79°+23°+Third Angle =180°
→102°+Third Angle =180°
→Third Angle =180° -102°
Third Angle =78°
What is the solution set for the quadratic equation x2 - 16 = 0?
A)
{4}
B)
{-4, 4}
C)
{256}
D)
{-256, 256}
Answers
Proof:
Solve for x over the real numbers:
x^2 - 16 = 0
The left hand side factors into a product with two terms:
(x - 4) (x + 4) = 0
Split into two equations:
x - 4 = 0 or x + 4 = 0
Add 4 to both sides:
x = 4 or x + 4 = 0
Subtract 4 from both sides:
Answer: x = 4 or x = -4
The shorter leg of a 30-60-90 triangle is 4. How long is the hypotenuse?
Answers
Therefore it is 8
In a 30-60-90 triangle, the hypotenuse is twice the length of the shortest leg. Hence, if the shortest leg is 4, then the hypotenuse is 8.
Explanation:In a 30-60-90 triangle, the ratios of the sides are specific and constant. The shortest side, the one opposite the 30-degree angle, is considered to be x. The longest side (hypotenuse), directly across from the 90-degree angle, is 2x, and the remaining side is x√3. In this case, the shortest side (x) is indicated to be 4.
So, in this triangle, the hypotenuse (2x) would be 2*4 = 8.
The Pythagorean theorem, as mentioned in the reference content, will also hold, but in the case of this special triangle, the ratios of the sides simplify the process of determining side lengths.
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What is the slope of a line parallel to line B?
Answers
Answer:
[tex]\frac{5}{2}[/tex]
Step-by-step explanation:
The slope of a line parallel to b has the exact same slope as b. Therefore, by finding the slope of b, you will find the slope of a line parallel to be as well.
The following formula is used to find m, the slope of the line, using the two given points:
[tex]m=\frac{y_{1}-y_{2} }{x_{1}-x_{2} } \\m=\frac{5--5}{3--1} \\m=\frac{5+5}{3+1} \\m=\frac{10}{4} \\m=\frac{5}{2}[/tex]
What scale factor was applied to the first rectangle to get the resulting image
Help me plsssssssssssssssssssssssssssssssssssssssssss!
Answers
.5 x 5 = 2.5
scale factor should be 5.
helpppppppppppppppppppppp
Answers
7x (x^2 * y)^1/3 which is the last option
Explanation:
5x (x^2 * y)^1/3 + 2 (x^5 * y)^1/3
5x (x^2/3 * y^1/3) + 2 (x^5/3 * y^1/3)
5 * x^5/3 * y^1/3 + 2 * x^5/3 * y^1/3
(5+2) * x^5/3 * y^1/3
7* x^5/3 * y^1/3
which can be rewritten as:
7x (x^2 * y)^1/3 which is the last option
Hope this helps :)
Which statement about BC←→ is correct?
BC←→ is a tangent line because △ABC is a right triangle.
BC←→ is a tangent line because the sum of the angles in △ABC is 180º.
BC←→ is not a tangent line because m∠ABC≠90°.
BC←→ is a tangent line because m∠ABC is acute.
Answers
So a tangent line is perpendicular to the radius, which means it creates a 90 degree angle with the radius of the circle. The sum of the interior angles of any triangle is 180 degrees. To determine if line BC is a tangent line, we have to determine if angle ABC is 90 degrees. Well we know the degrees of the other two angles of the triangle, so let's set up an equation:
180 = 48 + 47 + x
180 = 95 + x
85 = x
Since angle ABC must be 85 degrees (not 90), line BC is not a tangent line.
Answer:
BC←→ is not a tangent line because m∠ABC ≠ 90°.
The measure of angle at the tangent of a circle is a right angle.
The correct statement about BC is (c) BC is not a tangent line because m∠ABC≠90°.Start by calculating the measure of angle ABC using the following angle in a triangle theorem
[tex]\angle ABC + 48 + 47 = 180[/tex]
[tex]\angle ABC + 95 = 180[/tex]
Subtract 95 from both sides of the equation
[tex]\angle ABC = 180 - 95[/tex]
[tex]\angle ABC = 85[/tex]
For line BC to be a tangent, then the following must be true
[tex]\angle ABC = 90[/tex]
Hence, the correct statement about BC is (c)
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If you were going to represent the top view of the figure, stated which boxed should be shaded.
Answers
Choose the pair of numbers that is not a solution to the given equation.
y = 5 - 2x
My options are;
1,3
2,1
0,3
Answers
3 = 5 - 2(1) True
1=5-2(2) True
3=5-2(0) False
0,3 is not a solution
Indicate a general rule for the [tex] n^{th}[/tex] term of this sequence.
-6a, -3a, 0a, 3a, 6a. . .
A.] [tex] a_{n}=3an+9a[/tex]
B.] [tex] a_{n}=-3an-9a[/tex]
C.] [tex] a_{n}=-3an+9a[/tex]
D.] [tex] a_{n}=3an-9a[/tex]
Answers
Justification:
1) That is an arithmetic sequence which you prove by determining the difference between two consecutive terms (which shall be constant if it indeed is an arithmetic sequence):
2)
Second term - first term = -3a - (-6a) = -3a + 6a = 3a
Third term - second term = 0a - (-3a) = 3a
Fourth term - third term = 3a - 0a = 3a
Fith term - fourth term = 6a - 3a = 3a
Therefore, it is an arithmetic sequence with difference d = 3a.
3) the general rule for the nth term of an arithmetic sequence is given by the formula:
An = Ao + d (n - 1)
Where Ao = -6a and d, as determined above, is 3a
=> An = -6a + 3a (n - 1)
Expand the parenthesis (distributive property) =>
An = -6a + 3an - 3a = -9a + 3an = 3an - 9a = option D. <------- answer.
What is the derivative of e^(2x)
I am confused because the derivative e^x is e^x.
But they say you need to use the chain rule.
Which is f'(g(x))*g'(x).
I have used that on exponents but in this I just get, 2x * e^(2x-1) *e
Which is not the answer =/
Answers
Let u=2x. So u'=2
So the derivative of e^u is e^(2x)*2 This can also be written as 2e^(2x).
Northbound buses with tourists leave Waco for Dallas at 10 minute intervals. The trip takes exactly one hour. Southbound tourist buses leave Dallas for Waco at the same moment as their northbound counterparts and arrive an hour later. How many southbound buses does a northbound bus encounter between Waco and Dallas, including the one that is arriving in Waco just as the northbound bus leaves for Dallas and the one that is departing from Dallas just as the northbound bus arrives there?
Answers
Explanation:
When a Northbound bus leaves Waco there are 7 buses on the way from Dallas, including the one that is arriving at Waco and one departing from Dallas.
If you do not visualize it, think that the Northbound bus departs at 6:00 am, then the bus arriving at Waco departed at 5:00 am, other departed at 5:10am, other at 5:20, other at 5:30, other at 5:40, other at 5:50 and other at 6:00 am. Those are 6 buses that the Northbound bus will encounter on its way.
After that, there will departure other 6 buses that the Nortbound bus will encounter. The times for those departures are: 6:10am, 6:20am, 6:30am; 6:40am, 6:50am and, the last one, 7:00am just when it is arriving.
Therefore, the Northbound bus will encounter 7 buses + 6 buses = 13 buses, which is the answer.
If side a has a length of 3 and side b has a length of 4, use the Pythagorean Theorem to find the length of side c. Round the answer to the nearest tenth.
Answers
[tex]a {}^{2} + b {}^{2} = c[/tex]
when you put the numbers in for the variables given it will look like this
[tex]( {3})^{2} + ( {4})^{2} = c[/tex]
3 squared equals 9 and 4 squared equals 16:
[tex]9 + 16 = 25[/tex]
so side c is 25 units
Use the grouping method to factor the polynomial below completely.
2x3 + 16x2 + 7x + 56
A. (x2 + 8)(x + 7)
B. (x2 + 7)(x + 8)
C. (2x2 + 7)(x + 8)
D. (2x2 + 8)(x + 7)
Answers
Which is C. (2x2+7)(x+8)
Hope I helped! :)
At the start of a race, a runner’s velocity changes from 0 to 4.0 m/s. It takes him 2 seconds to speed up. His acceleration is ______ m/s2.
Answers
Change of velocity: 4 m/s
Change of time: 2 s
Acceleration = [tex] \frac{4}{2} = 2[/tex]
So the answer: his acceleration is 2 m/s^2
His acceleration is, 2 m/s^2!
Hope this helps! :)
How would you get the answer??
Answers
20+6=26
6/26
Divide the numerator and denominator by 2
3/13
So, the fraction is 3/13
What term can you add to 5/6x-4 to make it equivalent to 1/2x-4
Answers
Answer:
-1/3
Step-by-step explanation:
We need a c number that:
5/6x + cx = 1/2x
We clear the equation:
cx = 1/2x -5/6x
c = 1/2 -5/6
c= -2/6 = -1/3
Does the interest rate increase at a constant rate?
6 months = 2.4%
9 months = 2.9%
12 months = 3.0%
18 months = 3.1%
Answers
From 6 mo to 12 mo, it increases 0.6%.
From 12 mo to 18 mo, it increases 0.1%. The change over a 6 mo period gets smaller as the period gets longer or the rate gets higher.
it seems what's being asked is, "is the change from a month to the next, constant", as in an arithmetic sequence, well, check the picture below, those coordinates do not give us a straight line, and therefore, we don't have an arithmetic sequence, and therefore, we don't have a "common difference".
and since we don't have a common difference, the rate is not constant.
the ordered pairs below represent a relation between x and y.
(-3,0), (-2,4), (-1,8), (0,12), (1,16), (2,20)
could this set of ordered pairs have been generated by a linear function?
A. No, because the distance between consecutive x-value is different than the distance between consecutive x-values.
B. Yes, because the relative difference between y-values and x-values is the same no matter which pairs of (x, y) values you use to calculate it.
C. No, because the y-values decrease and then increase
D. Yes, because the distance between consecutive x-values is constant.
Answers
Answer:
Yes because the relative difference between y-values and x-values is the same no matter what which pairs of (x,y) values you use to calculate it
Step-by-step explanation:
Yes, this set of ordered pairs have been generated by a linear function because the relative difference between y-values and x-values is the same no matter which pairs of (x, y) values you use to calculate it.
The correct option is (B)
What is graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Given are ordered pairs are: (-3,0) (-2,4)(-1,8)(0,12)(1,16)(2,20).
It can be seen that the there only unit increase in x coordinates and units increase in consecutive y- coordinates.
Now, if we set up the equation of line as:
Here, m =4 and b = 12
So the relationship is linear and represented by the equation
y=4x+12
Hence, the relative difference between y-values and x-values is the same no matter which pairs of (x, y) values you use to calculate it.
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The perimeter of a square must be greater than 188 inches but less than 198 inches. find the range of possible side lengths that satisfy these conditions. (hint: the perimeter of a square is given by p=4s, where s represents the length of a side).
Answers
The range of possible side lengths for the square is from slightly more than 47 inches to slightly less than 49.5 inches. This is found by dividing the given perimeters by 4, using the formula p=4s.
Explanation:In this problem, we need to find the range of possible side lengths of a square where the perimeter is more than 188 inches but less than 198 inches. Remember that the perimeter of a square is found by multiplying the length of one side by 4 (p=4s).
First, let's find the side length for a square with a perimeter of 188 inches. We do this by dividing the perimeter by 4: 188 / 4 = 47 inches. So, any square with side lengths greater than 47 inches would have a perimeter more than 188 inches.
Next, we find the side length for a square with a perimeter of 198 inches. Similarly, we divide the perimeter by 4: 198 / 4 = 49.5 inches. So any square with side lengths less than 49.5 inches would have a perimeter less than 198 inches.
Therefore, the range of possible side lengths that satisfy these conditions is from slightly more than 47 inches to slightly less than 49.5 inches.
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Find the ordered triple of these equations. 2x - 3y - 4z = -21 -4x + 2y - 3z = -14 -3x - 4y + 2z = -10
Answers
Jana wants to navigate page 35 of her report. what is the quickest way to navigate?
Answers
To navigate to page 35 of a report, you can use the 'find' function in a web browser with CONTROL or COMMAND + F, utilize the table of contents with hyperlinks, or enter the page number in a navigator window's spin box, depending on the device and format.
To quickly navigate to page 35 of a report, you have several options depending on the format and the device you are using. If you are viewing the report on a web browser, you can usually press CONTROL or COMMAND and the letter F to open the 'find' function and type '35' to jump to page 35. Alternatively, if the document has a table of contents with hyperlinks, you can click on the relevant section to navigate quickly. For documents with a navigator window, enter '35' in the spin box to jump straight to that page. In a mobile reading environment, you may find a Contents button at the top of the screen; clicking this can allow you to select and jump to the desired page or section.
3 less than the quotient of a number y and 4
Answers
Quotient ⇒ division
The required algebraic expression can be written as [tex](y\div4)-3[/tex].
Given: a statement is [tex]3[/tex] less than the quotient of a number [tex]y[/tex] and [tex]4[/tex].
According to question,
An algebraic expression can be written by use of [tex]3[/tex] less than the quotient of a number [tex]y[/tex] and [tex]4[/tex].
Here, expression is [tex](y\div4)-3=\frac{y}{4}-3[/tex].
Therefore, the algebraic expression for the statement [tex]3[/tex] less than the quotient of a number [tex]y[/tex] and [tex]4[/tex] is written as [tex]\frac{y}{4}-3[/tex].
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