what is the value of x when the distance between the points (-2,-3) (-3,x) is equal to 5
Answer:
(-3,-4)
Step-by-step explanation:
FURTHER MATHEMATICS Use determinants to solve the systems of equation:
2x + y + 2z = 13
X + y - 2z = 8
X + 2y + z = 11
Answer:
Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}2x+1y+2z&=&13\\1x+1y-2z&=&8\\1x+2y+1z&=&11\\\end{array}\right.\\\\\\\Delta=\left| \begin{array}{ccc}2&1&2\\1&1&-2\\1&2&1\end{array}\right| =2*\left| \begin{array}{ccc}1&\frac{1}{2}&1\\1&1&-2\\1&2&1\end{array}\right| =2*\left| \begin{array}{ccc}1&\frac{1}{2}&1\\0&\frac{1}{2}&-3\\0&1&3\end{array}\right| =2*(\frac{3}{2}+3)=9\\\\[/tex]
[tex]\Delta_1=\left| \begin{array}{ccc}13&1&2\\8&1&-2\\11&2&1\end{array}\right| =2*\left| \begin{array}{ccc}13&1&2\\8&1&-2\\\frac{11}{2}& 1&\frac{1}{2}\end{array}\right| =2*\left| \begin{array}{ccc}13&1&2\\-5&0&-4\\\frac{-5}{2}& 0&\frac{5}{2}\end{array}\right| \\\\=2*(-1)*(\frac{-25}{2}-\frac{20}{2}) =45\\[/tex]
[tex]\Delta_2=\left| \begin{array}{ccc}2&13&2\\1&8&-2\\1&11&1\end{array}\right| \\\\\\=\left| \begin{array}{ccc}3&21&0\\3&30&0\\1&11&1\end{array}\right| \\\\\\=1*(90-63) =27\\[/tex]
[tex]\Delta_3=\left| \begin{array}{ccc}2&1&13\\1&1&8\\1&2&11\end{array}\right| \\\\\\=\left| \begin{array}{ccc}0&-1&-3\\0&-1&-3\\1&2&11\end{array}\right| \\\\\\=0\\[/tex]
[tex]\left\{\begin{array}{ccc}x=\dfrac{\Delta_1}{\Delta}=\dfrac{45}{9}=5\\\\y=\dfrac{\Delta_2}{\Delta}=\dfrac{27}{9}=3\\\\z=\dfrac{\Delta_3}{\Delta}=\dfrac{0}{9}=0\\\end{array}\right.[/tex]
The typing speeds for the students in a typing class is normally distributed with mean 44 words per minute and standard deviation 6 words per minute. What is the probability that a randomly selected student has a typing speed of less than 38 words per minute
Answer:
15.87%
Step-by-step explanation:
*Probability-Below 15.87%
Z1=-1
*x-1 38
*µ 44
*σ 6
The probability that a randomly selected student has a typing speed of less than 38 words per minute is 15.87%.
What is z-score?The Z-score, or standard score, is the number of standard deviations a given data point lies above or below mean.
Formula for z-scorez = (x -μ)/σ
Where,
Z is standard score.
x is observed value.
μ is mean of the sample.
σ is standard deviation of the sample.
What is probability?The area under the normal distribution curve represents probability.
According to the given question.
Mean, μ = 44
Standard deviation, σ = 6
Observed value, x = 38
Therefore, z-score = [tex]\frac{38-44}{6}= -1[/tex]
So, the are P(z > -1) = 15.87%
Hence, the probability that a randomly selected student has a typing speed of less than 38 words per minute is 15.87%.
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How does this work please explain clearly :) also 25 points
You start a travelling car wash service. You spend $30 on supplies and plan to charge
$6 for each car you wash. Which of the following equations could be used to find your
profit based on the number of cars you wash?
O y = 6x - 30
O y = 6x
O y = 6x + 30
Answer:
y= 6x - 30
Step-by-step explanation:
First yu would take the 30 dollars you spent then you will subtract 6 times how many cars you have done.
Solve the equation for y. Then find the value of Y for each value of X.
y+7x=9;x=-1,0,2
y=?
x=?
(help i hate this math hw)
Answer:
y=9-7x
If x= -1, y=16
If x= 0, y=9
If x=2, y= -5
Step-by-step explanation:
Because you are solving the equation for y, you want to have y by itself on one side. The only way to do that in this problem is by subtracting the 7x on both sides.
y+7x=9
-7x -7x ---> y=9-7x
The next part of the question says to find the value of Y for each value of X. Using the given X values, we plug them into the equation we just got in order to find Y.
y=9-7(-1) ----> y=16
y=9-7(0) ----> y=9
y=9-7(2) ----> y=-5
A rectangular garden is to be twice as long as it is wide. If 360 yards of fencing, including the gate, will completely enclose the garden, what will be the length of the garden, in yards
Answer:
ninguna respuesta lo siento pero si es que puedo lo cmletare
2/5 (z+ 1) = y for z
Answer:
z = 5y/2 - 1
Step-by-step explanation:
Solve for z
by simplifying both sides of the equation, then isolating the variable.
the number is 869214.951 , i need the answers for fractions and decimals and power of 10.
Answer:
Step-by-step explanation:
Fraction:
[tex]869214.951=\dfrac{869214951}{1000}\\[/tex]
Power of 10:
[tex]869214.951=8.69214951 * 10^{5}[/tex]
evaluate the following 1340five minus 242five
Answer:
10980 is the correct answer
What is the product of 3.5 ⋅ 102 and 2.4 ⋅ 103?
Answer:
3.5 × 102 = 357
2.4 × 103 = 247.2
357 × 247.2 = 88250.4
23. What is the value of 3.2/0.8
Answer:
When you divide 3.2 by 0.8 you get 4.
why the absolute value of a number will never be negitve
True because if a number is negative 4 the absolute value will be 4
blake and josh are both saving money for a new bike. the ratio of blake,s saving to josh saving is 3:1 if they have saved 400$, how much has each boy saved
Answer:
200 each.
Step-by-step explanation:
400 divided by 2 is 200
Line R is represented by the equation `y=-2x+7`and Line Z is represented by the equation `y=3x-3`. At what point will line R and line Z intersect?
Write a proof. Given x - 2 = 3(x - 4) Prove x = 5
x=5
Step-by-step explanation:
x-2=3(x-4)
x-2=3x-12
12-2=3x-x
10=2x
x=10/2
x=5
Answer:
x = 5
Step-by-step explanation:
x - 2 = 3(x - 4)
x - 2 = 3x - 12
-2x - 2 = -12
-2x = -10
x = 5
Martinez town is building a volleyball court based on a scale drawing that is 40cm by 80cm and uses the scale 1 cm :22.5cm
The proportional relationship between drawing court lengths x in centimeters and court lengths in y centimeters is y = 22.5x
Your question is not complete, it seems to be missing the following information;
"write an equation for the proportional relationship between drawing court lengths x in centimeters and court lengths in y centimeters"
The drawing court length is given as;
x = 40 cm or 80 cm
drawing scale = 1 cm : 22.5 cm
The corresponding length of the court is calculated as;
when x = 40 cm;
[tex]y = \frac{22.5}{1} \times 40 cm = 900 \ cm[/tex]
when x = 80 cm;
[tex]y = \frac{22.5}{1} \times 80 \ cm = 1,800 \ cm[/tex]
The proportional relationship between drawing court lengths x in centimeters and court lengths in y centimeters is calculated as;
[tex]\frac{y}{x} = \frac{900}{40} = \frac{1800}{80} \\\\\frac{y}{x} = 22.5\\\\y = 22.5 x[/tex]
Thus, the proportional relationship between the lengths is y = 22.5x
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please help me for this question....
Answer:
the answer is 3. but the workings are so long
Can anyone solve numbers 60 through 65?
Answer:
[tex]4a + 9a \\ \\ = (4 + 9).a \\ \\ = 13a \\ \\ 9y + 3y - 5x \\ \\ (9y + 3y) - 5x \\ \\ (9 + 3).y - 5x \\ \\ 12y - 5x[/tex]
Dad is getting food ready for my birthday party! Including me, there will be 16 people at the party. Dad is baking cookies for us! He can bake 20 cookies per batch.
How many batches should I tell Dad to make so we can each have 3 cookies?
Answer:
3 batches but you will have some left over
Step-by-step explanation:
the perimeter of a triangle is 14x - 4. if two sides measure 3x - 2 and 5x + 3, then how long is the third side?
Answer:
6x-5
Step-by-step explanation:
14x-4- (3x-2)-(5x+3)= 14x-4-3x+2-5x-3= 6x-5
100 POINTS
PLEASE DO THESE FOUR QUESTIONS (even if it’s just one)
1. write a number sentence expressing the value of the missing angle in the diagram below
2. write a number sentence expressing the value of r in the diagram
3. label the diagram below so that one pair of parallel lines, and one pair of equal lines
4. use the index laws to simplify the expression below, giving your answer with positive indices. SHOW ALL WORKING OUT.
Step-by-step explanation:
1. k = 76°
2. r = 25cm
3. as the drawing attached
one pair of parallel lines : AB and DC
one pair of equal angles : L A and L D
4. (7²× 3`¹)⁴×7^5 / (3² × 7^(-6))³
= (7^8 × 3`⁴)×7^5/ (3² × 7^(-6))³
= (7^13 × 3`⁴)/ (3^6 × 7^(-18))
= (7^(31) × 3^(-10))
= 7^31 / 3^10
Compare and order the numbers below from least to greatest.
4.6, 2.8, V7, V17,
Answer:
2.8, 4.6, V7, V17
i hope it help n im sorry i can't explain
Find the value of 5u+3 given that -3u-1=8.
Simplify your answer as much as possible.
Answer:
u=6
Step-by-step explanation:
5u+3=-3u-1=8
COMBINE LIKE TERMS(so 5u and -3u and then combine your positive 4 and your negative 1 then bring down your 8
2u-4=8
opposite inverse so add 4 to 8
2u=12
divide 2 into 12
u=6
so your final answer is 6.
XY=32, YZ=7d, and XZ=74
The value of d = 6 and the value of YZ = 42
Since XY=32, YZ=7d, and XZ=74
Based on this question, it should be noted that the addition of XY and YZ will equal to the value of XZ. Therefore,
XY + YZ = XZ
32 + 7d = 74
Collect like terms
7d = 74 - 32
7d = 42
Divide through by 7
7d/7 = 42/7
d = 6
Since d is 6, the value of YZ will be:
= 7d = 7 × 6 = 42
In conclusion, the value of d = 6 and the value of YZ = 42.
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please help me please
answer:
sorry i don't know the answer but are you an army ?
if U = {1,2,3,10},A={2,4,6,8,10}and B={3,6,9}
,find AUB
Answer:
AUB = {2,3,4,6,8,9,10,12}
help me asap please right now
Answer:
-3
Step-by-step explanation:
Answer:
-4.5, -3, 22/7 , 16/5, sqrt(17)
Step-by-step explanation:
friends??
disc; misti.#7628
tt; mistis.wishes
How many solutions does this equation have?
–3h = 1 − 3h