Answer:
√89
Step-by-step explanation:
The distance formula is good for this.
d = √((x2 -x1)^2 +(y2 -y1)^2)
d = ((6 -(-2))^2 +(-1-4)^2) = √(64 +25)
d = √89
The distance between the point is √89 units.
simplify (-2)(-3)+(4)(-8)
Step-by-step explanation:
[tex]( - 2)( - 3) + (4 )( - 8) \\ - 2 \times - 3 + 4 \times - 8 \\ 6 + ( - 64) \\ 6 - 64 \\ - 58[/tex]
If 1 inch on a map represents y miles, how many miles are represented by x feet on the same map?
Answer:
1 inch represents 1 mile
66330 inches represent 1 mile
Convert to feet = 5280 feet for every mile
So if the map shows y = 1 1/4 then this means 1 1/4 miles
which would make the decimal of y = 1.25
which makes x = 5280 x 1.25 = 6600
We can just convert to decimalization the ' length of y in inches' and multiply by 5280 to find our answer.
= y * x = (1 .) + additional) * 1 * 5280
Not forgetting the above decimal if under 2 inches.
Or in any measure including if over 2 inches we can use
= measure of y * 5280 = ( ) answer
If [tex]1[/tex] inch on a map represents [tex]y[/tex] miles, then the miles represented by [tex]x[/tex] feet on the same map will be [tex]12[/tex] miles.
What is map ?A map is a visual representation of an entire area or a part of an area, typically represented on a flat surface.
What is mile?Mile is a measure of length, in one mile there 1.6 kilometers.
We have,
[tex]1[/tex] inch [tex]=y[/tex] miles
Then,
[tex]x[/tex] feet will represent miles on map will be as
We know that,
[tex]1[/tex] feet [tex]=12[/tex] inch
So,
According to question,
Miles represented by [tex]x[/tex] feet [tex]=12y[/tex] miles
Because according to the above given statement we came to know that in [tex]1[/tex] feet there are [tex]12[/tex] inches.
Hence, we can say that if [tex]1[/tex] inch on a map represents [tex]y[/tex] miles, then the miles represented by [tex]x[/tex] feet on the same map will be [tex]12[/tex] miles.
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A group of 4 friends likes to golf together, and each friend keeps track of her all-time lowest score in a single round. Their low scores are all between 90 and 100, except for Angie, whose low score is 80. Angie then golfs a great round and has a new low score of 75. How will decreasing Angie's low score affect the mean and median?
Answer: Mean get decreased and median remains same.
Step-by-step explanation:
Given: The low scores of all 4 friends are all between 90 and 100, except for Angie, whose low score is 80.
i.e. Angie is an outlier.
[An outlier is an extreme value which lies far from the other data values.]
Angie then golfs a great round and has a new low score of 75.
i.e. more lower value.
Since Mean gets effected by an outlier but median remains same.
Here, value of new outlier(75) is less than the previous one (80), so mean score will get decreased, where as median (middle most value in ordered data) remains the same.
change 25/6 to mixed fraction
Answer:
[tex]4\frac{1}{6}[/tex]
Step-by-step explanation:
To find this, first, we need to ask ourselves, "how many times does 6 go into 25?" The answer is 4 because 6 * 4 = 24 with 1 left over. Therefore, we know that the whole number is 4 and the fraction is 1/6, so the answer is [tex]4\frac{1}{6}[/tex].
Answer:
4\frac{1}{6}
;-)
Step-by-step explanation:
plz crown 'o'
Three fair, standard six-sided dice are rolled. What is the probability that the sum of the numbers on the top faces is 18? Express your answer as a common fraction.
Explanation:
There is only one way to get a sum of 18 and that is rolling three '6's to get 6+6+6 = 18.
There are 6*6*6 = 216 different ways to roll three dice.
Divide the two values to get 1/216
NEED HELP ASAP algebra 2
Answer:
[tex]8\sqrt{2}[/tex]
Step-by-step explanation:
Step 1: Use Pythagorean Theorem to find the length of the hypotenuse
[tex]a^{2}+b^{2} =c^{2}[/tex]
[tex]9^{2}+7^{2} =c^{2}[/tex]
[tex]81+47 =c^{2}[/tex]
[tex]128 =c^{2}[/tex]
[tex]\sqrt{c^{2} } =\sqrt{128}[/tex]
[tex]c=\sqrt{128}[/tex][tex]\sqrt{128} =8\sqrt{2}[/tex]
Therefore the third side is [tex]8\sqrt{2}[/tex]
Given: g (x) = StartFraction 1 Over x + 2 EndFraction and h (x) = 3 x Check all restrictions on the domain of g circle h. x not-equals 0 x not-equals negative 2 x not-equals negative two-thirds There are no restrictions.
Answer:2/3 is the same
Step-by-step explanation:
Find the ratio in which y-axis divides the line segment joining the points A(5, -6), and B (-1, -4). Also find the coordinates of the point of division.
Answer:
Something like this
Step-by-step explanation:
distance √(-1 - 5)² + (-6 - -4)² = √36 + 4 = √40 = 6.32
slope = 2/-6 = -1/3
distance (-1,-4) to (0, -4.63)
√(-1 - 0)² + (-4 - -4.63...)² = √1.4 = 1.18
6.32 - 1.18 = 5.14
1.18 : 5.14
Answer:
ratio 5:1
coordinates (0,-13/3)
Step-by-step explanation:
let any point on y-axis (0,y) divides the join of A(5,-6) and B(-1,-4) in the ratio k:1
[tex]0=\frac{-1(k)+1(5)}{k+1} \\or~0=-k+5\\or~ k=5\\\therefore ~y-axis~ divides ~A,B~in~the~ratio~5:1\\y=\frac{5(-4)+1(-6)}{5+1} =\frac{-26}{6} =-\frac{13}{3}[/tex]
so coordinates of point of intersection are (0,-13/3)
Which of the following statements is not true concerning the equation x^2 - c = 0 for c > 0 A. A quadratic system in this form can always be solved by factoring. B. This equation is not considered to be a quadratic equation because it is not in the form ax^2 + bx + c = 0 C. The left-hand side of this equation is called a difference of two squares D. A quadratic equation in this form can always be solved using the square root property.
Answer:
[tex]\Large \boxed{\mathrm{Option \ B}}[/tex]
Step-by-step explanation:
The equation is in the form ax² + bx + c = 0.
x² - c = 0
1x² + 0x + -c = 0
Where : a = 1, b = 0, and c = -c
c > 0
The quadratic equation can always be factored if c is a square number
c can be a square number and the quadratic equation can be solved by using the difference of two squares formula.
x is squared so it can be solved by isolating x on one side by adding c to both sides and using the square root property.
Answer:
[tex]\huge\boxed{Option \ B}[/tex]
Step-by-step explanation:
[tex]x^2 - c = 0[/tex]
This equation is in a quadratic form since:
=> It has the highest power of x as 2. Those equations are quadratic equations in which the highest power of x is 2.
=> However, Those quadratic equation in which b = 0 , and they are like either [tex]ax^2 + c = 0 \ OR \ ax^2-c = 0[/tex], They are called pure quadratic equation.
So, [tex]x^2 - c = 0[/tex] is a quadratic equation.
In the matrix shown, which element is A1,2?
Answer:
B. 2
Step-by-step explanation:
a1,1=1
a1,2=2
a1,3=3
a2,1=4
a2,2=5
a2,3=6
a3,1=7
a3,2=8
a3,3=9
The expression a₁₋₂ represents the term present in the first raw and the second column which is 2. Then the correct option is B.
What is the matrix?A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The a_{ij} element in a matrix, such as M, refers to the i-th row and j-th column element.
The dimensions of a matrix are the product of the number of raw and the number of columns, which is known as a dimension of a matrix.
The matrix is given below.
[tex]\rm A = \begin{bmatrix}1 & 2 & 3\\ 4 & 5 & 6\\ 7 & 8 & 9\end{bmatrix}[/tex]
The 'i' represents the number of raw and 'j' represents the number of columns. Then the matrix is given as,
In the grid, a₁₋₂ addresses the term present in the primary crude and the second segment which is 2. Then, at that point, the right choice is B.
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why do you need definitions to write proofs?
Answer:
BECAUSE YOU ARE TRYING TO BE CONVINCE THAT THE PROOF IS TRUE,AND IT IS EASIER TO JUSTIFY
Step-by-step explanation:
-0.38 repeating written as a fraction is _____. -7/18 2/5 -15/36
Answer:
-7/18
Step-by-step explanation:
You know that 8/9 = 0.888.... repeating, so this value is effectively ...
[tex]-0.3\overline{8}=-\left(\dfrac{3}{10}+\dfrac{8}{90}\right)=-\dfrac{3(90)+10(8)}{(10)(90)}=-\dfrac{350}{900}=\boxed{-\dfrac{7}{18}}[/tex]
__
Of course, you can use your calculator to determine which answer choice has the given decimal equivalent.
8 plus 3 cubed over 12-7
Answer:
7
Step-by-step explanation:
8+3³/12-7
8+27/5
35/5
7
Which number is greater -4 or 8
Answer:
8
Step-by-step explanation:
think about this: which number has the bigger distance from 0 on a number line.
-4 -3 -2 -1 0 1 2 3 4 5 6 7 8
You can see the distance between -4 and 8. Because 8 is eight spaces away from zero, and -4 is 4 spaces away from zero, we can see that 8 is bigger
The 8 is greater than -4. The difference between the two numbers is 12, and 8 is a positive number, while -4 is a negative number, solidifying that 8 is the larger value.
To compare the numbers -4 and 8, we can use the number line or basic numerical comparison. On the number line, -4 is to the left of 8, indicating that 8 is greater. Additionally, we can verify this by subtracting -4 from 8, which gives us 12 (8 - (-4) = 12). Since 12 is positive, 8 is indeed greater than -4.
In numerical comparison, when a positive number is compared to a negative number, the positive number is always greater. This is because negative numbers are "less than" zero, and positive numbers are "greater than" zero.
In conclusion, 8 is greater than -4. The difference between the two numbers is 12, and 8 is a positive number, while -4 is a negative number, solidifying that 8 is the larger value.
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What are the coordinates of the point 3/4 of the way for A to B
Answer:
Coordinates of the point P are [tex](-\frac{29}{7},-1)[/tex]
Step-by-step explanation:
If a point P(x, y) divides the line AB into the ratio of m : n, coordinates of this point will be,
x = [tex]\frac{mx_2+nx_1}{m+n}[/tex]
y = [tex]\frac{my_2+ny_1}{m+n}[/tex]
In the given question m : n = 3 : 4
And the coordinates of A and B are (-5, -4) and (-3, 3) respectively.
x = [tex]\frac{3(-3)+4(-5)}{3+4}[/tex]
x = -[tex]\frac{29}{7}[/tex]
y = [tex]\frac{3(3)+4(-4)}{3+4}[/tex]
y = -1
Therefore, coordinates of the given point P are [tex](\frac{29}{7},-1)[/tex].
It cost 13.50 to take a girl out for the evening. Sixty percent of this was for the theater tickets.what was the cost for each ticket
Answer:
Each ticket cost 4.05
Step-by-step explanation:
Start by finding what is 60% of 13.50 = 0.6 * 13.50 = 8.10
since this is what both tickets cost, then one ticket for the theater was half of this value, that is: 8.10 / 2 = 4.05
Classify the polynomial by the number of terms
-5x + 13
•monomial
•binomial
•trinomial
what’s the answer choice?
Answer:
C. -1/2, 2, √5, √16, 4,05
Step-by-step explanation:
When ordering numbers from least to greatest first comes negative values then we compare all positive expressions
2 is smaller than √5 because it's approximately 2.2 and then comes √16 because it's equal to 4 and finally comes 4.05
Which number is closest to √18
Answer:
4.2 or 4
Step-by-step explanation:
√18 = 4.24264068712
or 4.2
or 4
A researcher received 9 shipments of 3.49 x 1010 cells to go along with the 1.2 x 109 cells she had already received. How many total cells has she received? A. 4.57 x 1010 B. 3.129 x 1011 C. 3.153 x 1011 D. 3.29 x 1011
Answer:7.84 X 10-3 m2
Step-by-step explanation:
A researcher received 9 shipments of 3.49 x 1010 cells to go along with the 1.2 x 109 cells she had already received. How many total cells has she received? A. 4.57 x 1010 B. 3.129 x 1011 C. 3.153 x 1011 D. 3.29 x 1011
4.57 x 1010 B. 3.129 x 1011 C. 3.153 x 1011 D. 3.29 x 1011
=7.84 X 10-3 m2
PLEASE HELP!
Find the value of z. A. 40 B. 80 C. 56 D. 62
Answer:
A
Step-by-step explanation:
The secant- tangent angle 50° is half the difference of the measures of the intercepted arcs, that is
[tex]\frac{1}{2}[/tex](210 - x) = 50 ( multiply both sides by 2 )
210 - x = 100 ( subtract 210 from both sides )
- x = - 110 ( multiply both sides by - 1 )
x = 110°
The sum of the 3 arcs on the circle = 360°
210 + x + z = 360
210 + 110 + z = 360
320 + z = 360 ( subtract 320 from both sides )
z = 40°
What’s the Y-intercept of the parabola with the equation y= x^2 - 4x-10?
Answer:
-10
Step-by-step explanation:
Plug in 0 to the equation ('cause y-intercept is found when "x" =0), and u get -10.
The constant is typically the y-intercept.
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Which best describes the dimensions of a line?
Vx
O Aline has zero dimensions because it represents a location on the coordinate plane.
O Aline has one dimension because it is made up of all points that extend infinitely in either direction.
O Aline has two dimensions because it is made up of three noncollinear points.
O Aline has multiple dimensions depending on how many labeled points it contains.
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Answer:
B
Step-by-step explanation:
please help like nobody has helped me on my other questions and i dont wanna fail this test
Answer: d=70; f=45; e=65
Step-by-step explanation:
NUMBER 1 WAY
110+d=180
d=70
135+f=180
f=45
d+f+e=180
70+45+e=180
e=65
--------------------------------------------------
NUMBER 2 WAY
concept to know: exterior angle theorem
------------------------------
System of equation
d+e=135
f+e=110
d+e+f=180
------------------------
d=135-e
f=110-e
-------------------------
d+e+f=180
(135-e)+e+(110-e)=180
135-e+e+110-e=180
245-e=180
e=65
-----------------------
d=70
e=65
f=45
3 less than g is greater than or equal to 17
Answer:
Step-by-step explanation:
g - 3 >= 17
g >= 20
The inequality for the given statement 3 less than g is greater than or equal to 17 can be represented as g - 3 ≥ 17.
What is inequality?Inequality shows relation between two expression which are not equal to each others.
The given statement is,
3 less than g is greater than or equal to 17.
To write inequality for the Statement,
Let g is variable,
3 less than g = g - 3
g -3 is greater than or equal to 17,
Implies that,
g - 3 ≥ 17.
The required inequality is g - 3 ≥ 17.
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A 5 gram ball has a volume of 2.5 milliliters. What is the density of the ball?
Answer:
2gramm/millimeters
Step-by-step explanation:
From the question we were given 5
gram ball with a volume of 2.5 milliliters.
Then What is the density of the ball?
Density of a substance is the mass of the substance per it's unit volume
It can be expressed below as
Density= mass/ volume
Mass= 5gram
Volume= 2.5millimetre
Then substitute we have
Density=5/2.5
=2g/mm
Therefore, density of the ball is 2gramm/millimeters
subtract -11 from -7
Answer:
[tex]\Huge \boxed{4}[/tex]
Step-by-step explanation:
-11 is subtracted from -7.
Subtracting a negative number from another number means there will be a minus sign followed by another negative sign from that negative number.
[tex]\Rightarrow -7-(-11)[/tex]
Distribute negative sign.
[tex]\Rightarrow -7+11[/tex]
Adding.
[tex]\Rightarrow 4[/tex]
Find the value of x
Pls help me :(
Answer:
i think is 10
Step-by-step explanation:
.............e
Convert the following decimal to a fraction. Be sure to simplify your fraction 0.378
Answer:
189/500
Step-by-step explanation:
[tex]0.378\\\mathrm{Multiply\:and\:divide\:by\:10\:for\:every\:number\:after\:the\:decimal\:point.}\\\\\mathrm{There\:are\:}3\\\mathrm{\:digits\:to\:the\:right\:of\:the\:decimal\:point,\\\:therefore\:multiply\:and\:divide\:by\:1000}\\\\=\frac{0.378\timess \:1000}{1000}\\\\=\frac{378}{1000}\\\\\frac{378}{1000}:\quad \frac{189}{500}[/tex]
If sets A and B have the same number of terms, is the standard deviation of set A greater than the standard deviation of set B? 1.The range of set A is greater than the range of set B. 2. Sets A and B are both evenly spaced sets.
Step-by-step explanation:
(1) The range of set A is greater than the range of set B.
This statement gives only the range which means only outermost values but what about the other values. For example-11,0,0,0,11 and -10,-10,0,10,10
Clearly, Former one has higher range but lower standard deviation.
(2) Sets A and B are both evenly spaced sets.
Evenly spaced is fine. However, we don't know the spacing since that is required to know the deviation.
For, example, sets A{2,4,6,8,10} and B {1,2,3,4,5} so in this case SD of A> SD of B. Or, we can have B{2,4,6,8,10} and A{1,2,3,4,5} so in this case SD of B> SD of A.