Using the midpoint formula, the coordinates of the midpoint M is: (-1/2, 1).
Using the distance formula, the length of YZ is: 14.3.
How to Apply the Midpoint and Distance Formula?The midpoint formula is: M[(x1 + x2)/2, (y1 + y2)/2].
Distant formula is: d = [tex]\sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}[/tex].
Given the following:
Y(1,-6) = (x1, y1)
Z(-2,8) = (x2, y2)
Apply the midpoint formula to find the midpoint of YZ:
M(x, y) = [(1 + (-2))/2, (-6 + 8)/2].
M(x, y) = (-1/2, 2/2)
M(x, y) = (-1/2, 1)
M(-1/2, 1)
Apply the distance formula to find YZ:
YZ = √[(−2−1)² + (8−(−6))²]
YZ = √[(−3)² + (14)²]
YZ = √205
YZ ≈ 14.3 (nearest tenth)
In conclusion:
Using the midpoint formula, the coordinates of the midpoint M is: (-1/2, 1).
Using the distance formula, the length of YZ is: 14.3.
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Solve each equation.
25x =1/5
The value of x for 25x =1/5 is 0.008
What is a linear equation?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) component are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
Given,
25x = 1/5
x = 1/125
x = 0.008
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What are the coordinates of the midpoint of,
PQ for P(-12, 6) and Q(1,-8)?
Montserrat can make 4 bracelets in 2 1/4 hours. How many bracelets can she make per hour
Answer: Montserrat bracelets can she make per hour = 0.5625 hours
Step-by-step explanation:
Given data,
Montserrat can make 4 bracelets in 2 1/4 hours.
Let assume Montserrat can make 1 bracelets in x hours.
So,
we can write,
4 ⇒ 2 1/4
1 ⇒ x
Then,
4x = 1 * 2 1/4
4x =1* 9/4
4x = 9/4
x = (9/4)/4
x = 9/16
x = 0.5625 hours.
Therefore,
Montserrat bracelets can she make per hour = 0.5625 hours
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I WILL MARK YOU BRAINLIST IF YOU ANSWER THIS QUESTION FOR ME!!
you can do this two ways:
1. reflect ABC on the x and y axis, then translate the points up one and three to the right.
2. translate 3 to the left and 1 down and then reflect ABC on the x and y axis.
I need help understanding the question is x+1=-5
Answer:so you have to get x by itself so minus 1 to both sides that would equals x=-6 thats your answer but if it was 2x=-6 then you wound divide until you get x by itself hope this helps but the answer is
x=-6
Step-by-step explanation:
Answer:
I got you!
So x is basically a placeholder for a number. We don't know what that number is, so we just put the letter x so we can make an equation. x can also be shown as a ? or any symbol as long as it consitant throughout the whole equation. for x+1=-5, we are trying to find what number when added to 1 equals -5. Or.... 1+?=-5. We can subtract 1 from each side of the equation to get ?=-6. Or in this case, X=-6!
Anybody know the answer to this question?
6b + 3x = 12
2b - 2x = 4 pls help i need this answer asap
During one month Andre used 785 gallons of water at his home. There are approximately 3.8 liters in 1 gallon.Which measurement is closest to the number of liters Andre used during this month?
The closest measurement to the number of liters Andre used during the month is 2,983 liters of water.
How is the measurement determined?The measurement of the number of liters used is determined by multiplying the number of gallons of water by the approximate value of 1 gallon in liters.
Using one of the mathematical operations, multiplication, the conversion of the quantity of water from gallons to liters can be computed.
Data and Calculations:The total number of gallons of water used = 785
Conversion of 1 gallon to liters = 3.8 liters per gallon
The total number of liters of water used = 2,983 (785 x 3.8)
Thus, the closest measurement to the number of liters Andre used during the month is 2,983 liters of water.
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Answer:
The answer is 2,983
Step-by-step explanation:
Solve. Check for extraneous solutions. -∛x+3=0
No Extraneous solution in the equation.
The equation is
-∛x + 3 = 0
To find whether the solution has the extraneous solution or not we need to find the value of x.
∛x = 3
x = 27
Now we have to put the value of x = 27 in the equation
∛27 = 3
3 = 3
Therefore we get to know that there is no extraneous solution to the equation.
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FINE THEN 90 POINT TO WHO ANSWERS
Answer:
Lucia is using 7000 calories per minute
Step-by-step explanation:
1 kcal per hour = 1000 cal per hour = 1000/60 cal per minute
420 kilocalories = 420000 calories
Lucia is using 420000 calories per hour
Lucia is using 420000/60 calories per minute
Lucia is using 7000 calories per minute
Answer:
7000 cal per minute
Step-by-step explanation:
Help please let me know if you get it
The line passing through point [tex]F[/tex] that is skew to [tex]\overleftrightarrow{EH}[/tex] is [tex]\overleftrightarrow{CF}[/tex] .
Skew lines are two parallel but non-intersecting lines. The two lines that pass through the opposing edges of a normal tetrahedron are a straightforward illustration of a pair of skew lines.
To check if two lines are skew we need to check by following the steps mentioned below:
Step 1: Find lines that do not cross one another.
Step 2: Verify that these line pairs are not also parallel to one another.
Step 3: Check whether these non-intersecting, non-parallel lines are non-coplanar. If the answer is affirmative, the selected pair of lines are skew.
Therefore, the line [tex]\overleftrightarrow{CF}[/tex] passes through point F, the line is not parallel to the line [tex]\overleftrightarrow{EH}[/tex] and is also non-coplanar. Both the lines do not intersect each other.
Hence, [tex]\overleftrightarrow{CF}[/tex] and [tex]\overleftrightarrow{EH}[/tex] are skew lines.
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Which number is ninetythree and six hundredths
Answer: 93/600 or 93.06
Step-by-step explanation:
3. What is the GCF of 12a³ and 24a5?
A. 3a³
B. 3a5
C. 12a³
D. 12a5
Answer:
C
Step-by-step explanation:
12a³ and 24[tex]a^{5}[/tex]
the GCF of 12 and 24 is 12
the GCF of a³ and [tex]a^{5}[/tex] is a³
the GCF of both is 12a³
Question 3 of 10
Will the answer to the subtraction problem below be odd or even?
9297-9178 = ?
OA. Odd
OB. Even
SUBMIT
Answer:
Odd
Step-by-step explanation:
9281-9178=119
119 is a Odd number
On a slow weekend, you spend at least two hours on homework. on a busy weekend, you spend as much as five hours on homework. write an absolute value inequality that represents the number of hours you spend doing homework on a typical weekday.
Absolute value inequality that represents the number of hours you spend doing homework on a typical weekday is 2 ≤ x ≤ 5.
Let us assume that one spends x hours doing homework on a typical weekday. Then we can write
The inequality expression for a slow weekend is given as;
X ≥ 2
In the same vein, the inequality expression for a busy weekend is given as;
X ≤ 5
Putting the two inequalities we have together in the same expression;
2 ≤ x ≤ 5
Two inequality expression could be written simultaneously if they can be expressed individually. They are commonly referred to as a “double” inequality. Writing an absolute value for this expression is represented as:
|x - h|≤ k
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Write each expression as a single logarithm.
log 5-k log 2
The expression log 5-k log 2 can be expressed as log (5/[tex]2^{k}[/tex]) in the form of single logarithm.
Given that the expression is log 5-k log 2.
We are required to find the expression as a single logarithm.
Division of logarithm says that log (m/n)=log m-log n.
The expression is log 5-k log 2.
log 5-k log 2=log 5-log [tex]2^{k}[/tex]
(We have to write the power of 2 which is k because it is in front of 2)
=log (5/[tex]2^{k}[/tex])
Hence the expression log 5-k log 2 can be expressed as log (5/[tex]2^{k}[/tex]) in the form of single logarithm.
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If a toy helicopter is moving at 12 m/s, how much energy does the 3kg toy have?
Express the product (5/2x+1) and (1/2x+1/4) as a trinomial in simplest form
The product of the given expressions is expressed as a trinomial as: 5/4x² + 9/8x + 1/4.
How to Solve Trinomials?Given the expressions, (5/2x +1) and (1/2x + 1/4), find the product by multiplying both together as shown below:
(5/2x + 1)(1/2x + 1/4)
Distribute
5/2x(1/2x + 1/4) + 1(1/2x + 1/4)
5/4x² + 5/8x + 1/2x + 1/4
Combine like terms
5/4x² + 9/8x + 1/4
Therefore, the product of the given expressions is expressed as a trinomial as: 5/4x² + 9/8x + 1/4.
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What is the expression and value of "six less than the quotient of a number and two, increased by ten" when n = 20? startfraction n over 2 endfraction minus 6 10; when n = 20, the value is 14. 6 minus startfraction n over 2 endfraction 10; when n = 20, the value is 6. startfraction n over 2 endfraction minus 6 10; when n = 20, the value is 17. 6 minus startfraction n over 2 endfraction 10; when n = 20, the value is 3.
The algebraic expression that represents the expression "six less than the quotient of a number and two, increased by ten" is [(n/2) - 6] + 10 and its value is 14 when n is 20.
An algebraic expression is a number, variable, or the combination of both and operational symbols.
The expression "six less than the quotient of a number and two, increased by ten" can be written as:
[(n/2) - 6] + 10
where n is the number
Evaluate the expression by substituting the value of n.
[(n/2) - 6] + 10
= [(20/2) - 6] + 10
= (10 - 6) + 10
= 4 + 10
= 14
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How to do constant of proportional rate in a graph
Answer:
the constant of proportionality is the slope
What is the quotient of (−192) ÷ (−16) ÷ (−4)?
some children went for fishing.they caught as many fishes as their number.if they caught 81 fishes altogether.how many children were there?
Answer: I think 81
Step-by-step explanation:
It might be a trick question. Because it says they caught as many fish as their number SOOO...
Evaluate 32+ (6-2) 4-3. (1 point)
The simplified form of the given expression is 45.
The given expression is 32+(6-2)4-3.
An expression in math is a sentence that contains at least two numbers/variables and at least one math operation. The mathematics operators will be addition, subtraction, multiplication and division.
The expression is 32+(6-2)4-3.
Firstly, we will simplify the subtraction which is in the bracket, we get
32+(6-2)4-3=32+(4)4-3
Now, we will simplify the multiplication, we get
32+(6-2)4-3=32+16-3
Further, we will simplify the addition, we get
32+(6-2)4-3=48-3
Furthermore, we will simplify the subtraction, we get
32+(6-2)4-3=45
Hence, the simplified form of the given expression 32+(6-2)4-3 is 45.
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Which of the following is an equivalent representation of 5-4 ?
Can someone help me with this? Acelllus
Jalen is computing the slope of a line on the graph below. Which statement describes Jalens error?
Jalen computed the raitio in e to change in y
Jalen use the ordered pairs in the wrong order
Jalen made a computational error
Jalen used an ordered pair that is not on the line
The statement which describes Jalen's error is that: A. Jalen computed the ratio of change in x to change in y.
What is a graph?A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.
How to calculate the slope of a line?Mathematically, the slope of any straight line can be calculated by using this formula;
[tex]Slope, m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope, m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]
Slope, m = Δy/Δx
In this context, we can reasonably infer and logically deduce that the statement which describes Jalen's error is that Jalen computed the ratio of change in x to change in y i.e Δx/Δy, instead of Δy/Δx = (0 - 3)/(-4 - 2).
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Mary deposits her paycheck into her checking account every month, pays all her bills, and then puts $200 into her
money market account. She has done this for two years and now has $4,000 in a money market account that she has
not needed for expenses. Her bank requires a $250 [ninimum for regular savings accounts, $1,000 for CDs, and $1,250
for money market accounts. What would be the best option for her?
O She should do nothing; she never knows when a big expense might come up.
She should open a one-year CD with $1,000 from her money market account.
She should open a two-year CD with $2,000 from her money market account.
O She should open a regular account at another bank to keep her money safer.
Answer:
she should open a regular account to keep her money safer
Step-by-step explanation:
What is −11 + |−5| − |−15|?
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What is the constant of 2x+3y+4z+5a+6b
Constants values in the expression 2x+3y+4z+5a+6b are 2,3,4 ,5 and 6.
A constant is a value or number that is consistently the same regardless of how it is expressed. For instance, in the aforementioned figure, where its face value is 36 and 82 respectively, 36 and 82 remain constant. Its worth remains constant.
To broaden our definition, we can say that a constant is something that never changes. Either a single digit or a symbol that denotes a specific number is used. You could substitute a letter like a, b, or c for a constant.
An illustration of a constant term is the mathematical symbol Pi. The word "Pi" refers to a well-known number that can be used alone.
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The 15 members of a team are getting new uniforms. Shirts cost $25
each, shorts cost $30 each, and shoes cost $75 a pair. What is the TOTAL
cost of the new uniforms for ALL of the members?
Answer:
$1,950.00
Step-by-step explanation:
Total cost of shirts = $25 x 15 = $375
Total cost of shorts = $30 x 15 = $450
Total cost of shoes = $75 x 15 = $1,125
Total cost = $375 + $450 + $1,125
= $1,950.00