The value of a for the equation of line CD are;
a) a = -2b) a = -3c) a = 6Given the following data:
a) C(5, -2), D(-4, a); m = 0
Point on x-axis ([tex]x_{1}, x_{2}[/tex]) = [tex]5, -4[/tex]Point on y-axis ([tex]y_{1}, y_{2}[/tex]) = [tex]-2, a[/tex]Slope, m = 0To find the value of a;
Mathematically, the slope (m) of an equation of line is given by the 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]
Substituting the values into the formula, we have;
[tex]0 = \frac{a - [-2]}{-4 - 5}\\\\0 = \frac{a\; + \;2}{-9}[/tex]
Cross-multiplying, we have;
[tex]-9[/tex] × [tex]0[/tex] = [tex]a + 2[/tex]
[tex]a +2 = 0[/tex]
a = -2
b) C(a, -1), D(-3, 2); m = undefined
Point on x-axis ([tex]x_{1}, x_{2}[/tex]) = [tex]a, -3[/tex]Point on y-axis ([tex]y_{1}, y_{2}[/tex]) = [tex]-1, 2[/tex]Slope, m = undefinedTo find the value of a;
Note: Undefined is a terminology used to refer to a mathematical expression that has not been assigned a value or isn't correct. Also, a mathematical expression is considered to be undefined when its denominator is zero (0) i.e it is divided by zero (0).
Substituting the given values into the slope formula, we have;
Undefined [tex]= \frac{2 - [-1]}{-3 - a}[/tex]
Undefined [tex]= \frac{2 + 1}{-3 - a}[/tex]
Next, we would equate the denominator to zero (0);
[tex]-3 - a = 0[/tex]
a = -3
c) C(-3, -2), D(1, a); m = 2
Point on x-axis ([tex]x_{1}, x_{2}[/tex]) = [tex]-3, 1[/tex]Point on y-axis ([tex]y_{1}, y_{2}[/tex]) = [tex]-2, a[/tex]Slope, m = 2Substituting the values into the formula, we have;
[tex]2 = \frac{a - [-2]}{1 - [-3]}\\\\2 = \frac{a\; + \;2}{1 \;+ \;3}\\\\2 = \frac{a\; + \;2}{4}[/tex]
Cross-multiplying, we have;
[tex]4[/tex] × [tex]2[/tex] = [tex]a + 2[/tex]
[tex]a +2 = 8[/tex]
[tex]a = 8 -2[/tex]
a = 6
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In each represent the common form of each argument using letters to stand for component sentences, and fill in the blanks so that the argument in part (b) has the same logical form as the argument in part (a).
a. If all computer programs contain errors, then this program contains an error.
This program does not contain an error.
Therefore, it is not the case that all computer programs contain errors.
b. If _______________, then _____________.
2 is not odd.
Therefore, it is not the case that all prime numbers are odd.
Answer:
a
[tex]a \to b[/tex]
[tex]\neg b[/tex]
[tex]\neg a[/tex]
b
If all prime numbers are odd, then 2 is odd.
2 is not odd.
Therefore, it is not the case that all prime numbers are odd.
Step-by-step explanation:
Considering part A
The first sentence is
If all computer programs contain errors, then this program contains an error.
The second sentence is
This program does not contain an error.
The third sentence is
Therefore, it is not the case that all computer programs contain errors.
Now we will use a and b as the letter to denote the component sentences and [tex]\neg a[/tex] and [tex]\neg b[/tex] when the component sentences is not the case
So a = If all computer programs contain errors
and
b = this program contains an error.
Generally then is represented as [tex]\to[/tex]
Hence the first sentence is denoted as
[tex]a \to b[/tex]
The second sentence is represented as
[tex]\neg b[/tex]
The third sentence is represented as
[tex]\neg a[/tex]
So part a can be represented as
[tex]a \to b[/tex]
[tex]\neg b[/tex]
[tex]\neg a[/tex]
Considering part B
Here the objective is to fill in the blank spaces so that the logic of the sentence in part b is as that in part a
Now comparing the second statement a and b
"This program does not contain an error" = "2 is not odd" = [tex]\neg b[/tex]
Hence "this program contains an error." = "2 is odd" = b
Now comparing the third statement a and b
Therefore, it is not the case that all computer programs contain errors.
=
Therefore, it is not the case that all prime numbers are odd
=
[tex]\neg a[/tex]
Hence
If all computer programs contain errors, = if all prime numbers are odd.= a
Please help me with this please I’ll give you a Brainly list
Answer: X-axis
Step-by-step explanation: You can use the "Desmos Graphing Calculator".
max is thinking of a number, which he calls n. He adds 8 an then doubles the sum
decimal:
3.2
fraction:
3.2/1
4) Given: f(x) = 4x – 1 g(x)= 3x - 2
Find:
f(x) + g(x)
f(x) *g(x)
f(g(x))
f(x) - g(x)
Step-by-step explanation:
f(x) = 4x - 1
g(x) = 3x - 2
1) f(x) + g(x) = (4x - 1) + (3x - 2)
= 4x - 1 + 3x - 2
= 4x + 3x -1 - 2 = 7x - 3
2) f(x) * g(x) = (4x - 1) * (3x - 2)
= 12x^2 - 8x - 3x + 2
= 12x^2 -11x + 2
3) f(g(x)) = 4(3x - 2) - 1
= 12x - 8 - 1
= 12x - 9
4) f(x) - g(x) = (4x - 1) - (3x - 2)
= 4x - 1 - 3x + 2
= 4x - 3x - 1 +2
= x + 1
A die is rolled five times and a 5 or 6 is considered a success. find the probability of no. of success?
Answer:
1/3
Step-by-step explanation:
I didn’t study and it’s 2 am pls help
7. g(3) = 42
8. f(6) = - 124
9. g(15) = 3
10. h(-3) = 1/8
Step-by-step explanation:7. g(x) = 4x² + 6
g(3) = 4×3² + 6
= 4×9 + 6
= 36 + 6
= 42
8. f(x) = - 3x² - 4x + 8
f(6) = - 3×6² - 4×6 + 8
= - 3×36 - 24 + 8
= - 108 -16
= - 124
9. g(x) = √(x - 6)
g(15) = √(15 - 6)
= √9
= 3
10. h(x) = 2ˣ
h(-3) = 2⁻³
= 1/2³
= 1/8
Negative numbers do not have square roots that are real numbers
Answer:
Negative numbers don't have real square roots since a square is either positive or 0. The square roots of numbers that are not a perfect square are members of the irrational numbers. This means that they can't be written as the quotient of two integers.
HELP ME SOMEONE PLSSS WHAT IS THE ANSWER
Answer: 3 2
Wrong 1 5 6 4
Step-by-step explanation:
Point A is located at (4, 7). It will be translated 5 units right and 3 units down. Write the rule and give the location of point A. Step by Step Explanation
Answer:
4,7 -> 9,4, rule: (x,y)->(x+5,y-3)
Step-by-step explanation:
Let’s write the rule first,
(x,y) -> (x+5,y-3) (right 3, down 3)
Now we add 5 to x and subtract 3 from y.
4,7 -> 9,4
Find the mean. 217, 230, 214, 227, 196, 235, 220, 224, 208, 209, 191, 205, 184, 214, 219, 208, 227, 194, 228, 186, 201, 239
Answer:
212.54
Step-by-step explanation:
To find the mean, we take the sum of all numbers and divide by the total amount in the set
Total sum: 4676
Numbers in the set: 22
4676 divided by 22 = approx. 212.54
When conducting a survey, which of the following is a reason to use a random sample?1. To make cause-and-effect connections2. To avoid bias3. No answer text provided.4. To systematically favors the correct choice over every other choice on each question
Answer: 2. To avoid bias
Explanation:
The random sampling can be defined as the method of selecting the samples from the population of interest randomly. The main advantage of this method is to select the samples from the target population and eliminating the bias in sampling. The random sampling is least choice of sampling for research purpose as the researcher wants to choose only selected desired samples for the study.
Find k if 3k, k-2, and k + 7 are consecutive terms of an arithmetic sequence.
The value of k is equal to -5.5
How to calculate the value of k in this arithmetic sequence?In Mathematics and Geometry, the nth term of an arithmetic sequence can be calculated by using this equation:
[tex]a_n=a_1+(n-1)d[/tex]
Where:
d represents the common difference.a₁ represents the first term of an arithmetic sequence.n represents the total number of terms.Based on the the common difference of an arithmetic sequence, we have:
k - 2 - 3k = k + 7 - (k - 2)
-2k - 2 = k + 7 - k + 2
-2k - 2 = 9
-2k = 11
k = -11/2
k = -5.5
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Angles Q and R are supplementary. If the measure of angle Q =4x+9 and the measure of angle R is 8x+3, what is the measure of each angle?
Answer:
180°
Step-by-step explanation:
So supplementary agles are angles that add up to 180 degrees thus the measure of each angle is 180 degrees.
The 4x+ 9 and 8x+3 are meant to confuse you. But if you need help figuring out what x is i can help :)
HOPE IT HELPED.
Can some body please help meeeee T^T
Answer:
Till tomorrow
TT Definition / TT Means
The definition of TT is "Telegrahic Transfer" or "Till tomorrow"
Step-by-step explanation:
Answer:
The answer is 5
Step-by-step explanation:
(50-10)=40/8=5
Given that QRVTSU is a regular hexagon, what are the lengths of QR and ST ?
Answer:
QR = 37
ST = 37
Step-by-step explanation:
length of all sides are equal
so QR = ST
3y + 19 = 6y + 1
combine like terms
19 -1 = 6y - 3y
18 = 3y
y = 18/3
y = 6
QR = 3(6) + 19
QR = 37
ST = 6(6) + 1
ST = 37
Answer:
QR = 37
ST = 37
Step-by-step explanation:
QR = ST
3y + 19 = 6y + 1
19 -1 = 6y - 3y
18 = 3y
y = 18/3 = 6
substitute
QR = 3(6) + 19 = 37
ST = 6(6) + 1 = 37
EEEE
Domain: The set of all states
Range: The set of all senators
(Remember, each state has two senators!)
This relation is
not a functions
COMPLETE
Create your own real-world example of a relation
that is a function,
Domain: The set of
Range: The set of
DONE
Answer:
Domain: The set of 0
Range: The set of 16
Step-by-step explanation:
A real-world example of a relation that is a function is
Domain: The set of voters.
Range: The set of candidates.
during an election.
What is a function?A function is a relationship from a set of inputs called domain to a set of outputs called range, such that not more than one value is assigned to an input.
How to tackle the problem?For the given example we understand that each state has two senators hence the relation is not a function.
A real-world example of a relation that is a function is
Domain: The set of voters.
Range: The set of candidates.
during an election.
This is a function because one voter can vote for only one candidate.
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Elise bought 6.47 pounds of peanuts and 4.22 pounds of raisins. How many pounds of snacks did she buy in all?
Answer:
10.69 pounds
Step-by-step explanation:
4.22 + 6.47 = 10.69
Answer:
10.69 pounds of snacks
Step-by-step explanation:
Total no of raisins ;
[tex]6.47+4.22\\\\=10.69[/tex]
How do you do this question?
Answer:
9.29
Step-by-step explanation:
S₄ is the area using Simpson's rule and 4 intervals.
Simpson's rule can be calculated as:
Sᵢ = Δx/3 (f(x₀) + 4f(x₁) + 2f(x₂) + 4f(x₃) + ... + 4f(xᵢ₋₂) + 2f(xᵢ₋₁) + f(xᵢ))
Or, Simpson's rule can be calculated as a combination of midpoint and trapezoid sums:
S₂ᵢ = (2Mᵢ + Tᵢ) / 3
Using the first method:
Δx = (4−0)/4 = 1
S₄ = 1/3 (1.00 + 4(1.41) + 2(2.24) + 4(3.16) + 4.12)
S₄ = 1/3 (27.88)
S₄ ≈ 9.29
Using the second method:
S₄ = (2M₂ + T₂) / 3
The midpoint area for 2 intervals is:
M₂ = (2) (1.41) + (2) (3.16) = 9.14
The trapezoid area for 2 intervals is:
T₂ = ½ (1.00 + 2.24) (2) + ½ (2.24 + 4.12) (2) = 9.60
Therefore:
S₄ = (2 (9.14) + 9.60) / 3
S₄ ≈ 9.29
A club has 16 girls and 8 boys as members. The president wants to break the club into groups, with each group containing the same combination of girls and boys. The president also wants to make sure that no one is left out. What is the greatest number of groups the president can make?
Answer: 8
Step-by-step explanation:
what choice is NOT equal to the others? - 2/5. -2/5. 2/5. 2/-5
Answer:
[tex]\frac{2}{5}[/tex]
Step-by-step explanation:
[tex]- 2/5= -\frac{2}{5}\\\\ -2/5= -\frac{2}{5}\\\\ 2/5 = \frac{2}{5} \\\\2/-5= -\frac{2}{5}[/tex]
Answer:
2/5
Step-by-step explanation:
It has no minus behind any of the numbers.
Please help I don’t understand
Answer:
2·8·78+2+712·5·33+5+12Step-by-step explanation:
The properties of addition and multiplication allow you to rearrange and/or regroup the components of a sum or a product. That is the point of this exercise.
(2·8)·7 = 2·(8·7) . . . . parentheses have moved: associative property
2 + 7 + 8 = 8 + 2 + 7 . . . . order is rearranged: commutative property
5·3·12 = 12·5·3 . . . . . order is rearranged: commutative property
(3 +5) +12 = 3 +(5 +12) . . . . parentheses have moved: associative property
_____
Additional comment
Whenever you're in doubt about the equivalence of numerical expressions, you can use your calculator to evaluate them. They will give the same result if they are equivalent. (You need a good scientific or graphing calculator that uses parentheses for this. Some seriously good calculators are available as low-cost phone apps.)
The Google search box also serves as input to the Google calculator. You can use an asterisk (*) for multiplication.
Find the midpoint of the segment with the following endpoints.
(-6, -6) and (4, -2)
Answer:
(-1,-4)
Step-by-step explanation:
USE A1 + A2 / 2 AND B1 + B2 / 2
A1 + A2 / 2
= (-6+4) / 2
= -2/2
= -1
B2 + B1 / 2
= (-6+(-2)) / 2
= -8 / 2
= -4
therefore, (-1,-4) is your midpoint.
Simplify negative 3 over 4 divided by 2 over negative 8 .
Answer:
3/4 1/4
Step-by-step explanation:
Answer:
im pretty sure its three i did this question as well
Step-by-step explanation:
I converted each fraction into a decimal because its just eaiser for me that way and -3/4 is .75 and - 2/8 is -.25 and if you divide those you get three :)
While on your trip you get sick and eventually end up in the hospital. The doctor orders 120 mg of medicine to be given in the morning, and another 120 mg to be given at night. The nurse comes in to give you your morning dose and tells you that there are 30 mg in each tablet. How many tablets should you get?
Answer:
4 tablets
Step-by-step explanation:
If the morning dose is 120mg and each tablet is 30mg then all you do is divide 120 by 30 to get the answer 4
Step-by-step explanation:
4 tablets
by equatitg this term
120 = 30x ( X = number of tablets )
X = 4 tablets
1. Write the algebraic expression for:
"Three less than a number.”
X + 3
a.
b.
3 x
X - 3
c.
d.
3.x
Assume the heights in a male population are normally distributed with mean 70.3 inches and standard deviation 4.1 inches. If a randomly selected male’s height is at the 75th percentile, how tall is he (to the nearest tenth of an inch)?
Answer:
73.1 inches
Step-by-step explanation:
We solve for this using z score formula.
z-score is z = (x-μ)/σ,
where x is the raw score,
μ is the population mean
σ is the population standard deviation.
x = unknown = randomly selected male's height
μ = 70.3 inches
σ = 4.1 inches
z = is not given but we are given its percentile which is 75
The z score for a 75th percentile = 0.674
Hence,
0.674 = x - 70.3/4.1
Cross Multiply
0.674 × 4.1 = x - 70.3
2.7634 = x - 70.3
x = 70.3 + 2.7634
x = 73.0634 inches
The height of the randomly selected male = 73.0634
Therefore, the height of the randomly selected male to the nearest tenth of an inch is 73.1 inches
find the x and y intercepts of the circle: (x-6)^2+(y+3)^2=16
Answer: x=0 y=2
Step-by-step explanation:
Answer:
-y+11
Step-by-step explanation:
(x-6)•2+(y+3)•2-(y+3)•2=16-(y+3)•2
(x-6)•2=-2y+10
(x-6)•=-2y/2+10/2
x-6=-y+5
x=-y+11
Evaluate u’ – 4u + 3 for u
=-3
Enter an integer or decimal number (more..]
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Milo's Ice Cream Factory sold more than 43 waffle cones yesterday. Which of the following inequalities represents the number of waffle cones Milo's Ice Cream Factory sold yesterday?
A.
x < 43
B.
x = 43
C.
x < 49
D.
x > 43
Answer:
D. X > 43
Step-by-step explanation:
You do not know the number of waffle cones sold yesterday, so let's make that the X.
The question says "sold more than 43" so we need an X and a 43.
But which sign to use?
The question says "more than 43" so that means X is bigger
The alligator > wants to eat the bigger number, so you use:
X > 43
Answer:
x > 43
Step-by-step explanation:
what is 5(3-12)(42-32)
Answer:
-450
Step-by-step explanation:
5(3-12)(42-32)
5(-9)(10)
-45(10)
Answer:
-450
Step-by-step explanation:
5(3-12)(42-32)
5(-9)(10)
-45(10)
= -450