Answer:
Step-by-step explanation:
Use the slope formula:
[tex]m = \frac{y2 -y1}{x2 - x1}[/tex]
where m = slope
Given the coordinates
(-4, 4) ---> this means x1 = -4 , y1 = 4
(2, -5) ---> this means x2 = 2 , y2 = -5
Substitute these values into the slope formula:
[tex]m = \frac{y2 -y1}{x2 - x1}[/tex]
[tex]m = \frac{-5 -4}{2 - (-4)} = \frac{-9}{2+4} = \frac{-9}{6} = \frac{-3}{2}[/tex]
The slope of the line passing through the coordinates (-4, 4) and (2, -5) is - 3/2.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
The slope of the line passing coordinates (-4, 4) and (2, -5) can be obtained as we know slope is rise over run which is slope(m) = (y₂ - y₁)/(x₂ - x₁) = (-5 - 4)/(2 + 4) = -9/6 = - 3/2.
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need help answer quick
Answer:
number 10
k= 36
number 11
k=33
HELP!!
Given h(x) = 4x – 1, solve for x when h(x) = -9.
Answer:
-2
Given:
h(x) = -9
Step-by-step explanation:
h(x) = 4x - 1
-9 = 4x - 1
-9 + 1 = 4x
-8 = 4x
-8/4 = x
x = -2
hope you understood❤
The solution for x when h(x) = -9 is -2
What is a linear equation?A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0. A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively
Given;
h(x) = 4x – 1...(1)
h(x) = -9
Substituting the value of h(x) in equation 1
-9=4x-1
-9+1=4x
-8=4x
x=-8/4
x=-2
Therefore, the solution for the equation will be x=-2
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the price for rosemary is 49 cents for 6 ounces. what is the price in dollars per pound?
HELP ASAP PLZZZZZ Which property is used in the first step to solve this equation?
4 (x minus 6) = 5. 4 x minus 24 = 5. 4 x = 29. x = StartFraction 29 Over 4 EndFraction
Answer:
Distributive Property
Step-by-step explanation:
4(x-6)=5.4x-24
4x-24=5.4x-24
What is 0.362 rounded to the nearest tenth?
Answer:
0.4
Step-by-step explanation:
Answer:
0.4
Step-by-step explanation:
The tenths has 3, the hundredths has 6, and the thousandths has 2. The hundredth is greater than 5, so we have to round the tenths up by 1, making it 0.4
The difference of three times a number and 4 is 8. What is the value of n?
a. -1.3
C. 4
b. -4
d. 1.3
Answer:
It’s c
Step-by-step explanation:
I just did it in edg
Please help!!! will give brainliest
Answer:
Angle D
Step-by-step explanation:
If you flip the triangle upside down, Angle D should be in the same location as Angle A. Congruent triangles will have corresponding congruent angles.
The seventh term of an arithmetic progression is equal to twice the fifth term. The sum
of the first seven terms is 84. Find the first term.
Answer:
a₁ = - 24
Step-by-step explanation:
The n th term of an AP is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₇ = 2a₅ , then
a₁ + 6d = 2(a₁ + 4d) = 2a₁ + 8d ( subtract 2a₁ + 8d from both sides )
- a₁ - 2d = 0 → (1)
The sum to n terms of an AP is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
Given [tex]S_{7}[/tex] = 84 , then
[tex]\frac{7}{2}[/tex] (2a₁ + 6d) = 84
3.5(2a₁ + 6d) = 84 ( divide both sides by 3.5 )
2a₁ + 6d = 24 → (2)
Thus we have 2 equations
- a₁ - 2d = 0 → (1)
2a₁ + 6d = 24 → (2)
Multiplying (1) by 3 and adding to (2) will eliminate d
- 3a₁ - 6d = 0 → (3)
Add (2) and (3) term by term to eliminate d
- a₁ = 24 ( multiply both sides by - 1 )
a₁ = - 24
which equation represents a linear function?
Helppp I need to pass critical! Oh um will give brainliest if requested!
Answer:
Subtraction property of equality (a)
The answer is A because the subtraction property of equality tells us that if we subtract from one side of an equation, we also must subtract from the other side of the equation to keep the equation the same.
find the distance between points (2, 9) and (5, 4) to the nearest tenth
Answer:
[tex]Distance = 5.8[/tex]
Step-by-step explanation:
[tex]d=\sqrt{(4-9)^{2} } { (5-2)} ^{2} \\[/tex]
[tex]d = -5^{2} + 3^{2}[/tex]
[tex]d= 25 + 9[/tex]
[tex]d= \sqrt{34}[/tex]
[tex]distance = 5.8[/tex]
A hotel patron starts at the fifth floor and goes up seven floors to meet a friend. How many levels, and in which direction, must they take the elevator to get to Parking A? Express your answer in one or more complete sentences.
Answer:
they must go 12 floors downwards because parking A has to be on the last floor
Answer:
they other person is somewhat correct
Step-by-step explanation:
Work out the first four terms and the 10th term of the quadratic
sequence with
a T(n) = 2n2 + 4
b T(n) = 3n2-3
c T(n) = -3n2 + 7
d T(n) = 4n? -5
Answer:
a. The first four terms and the 10th term are 6, 12, 22, 36, ......., 204
b. The first four terms and the 10th term are 0, 9, 24, 45, ......., 297
c. The first four terms and the 10th term are 4, -5, -20, -41, ......., -293
d. The first four terms and the 10th term are -1, 11, 31, 59, ......., 395
Step-by-step explanation:
a.
∵ T(n) = 2n² + 4 is the rule of the sequence, where
n is the position of the number in the sequence∴ For the first term, n = 1
→ Substitute n by 1 in the rule above to find T(1)
∵ T(1) = 2(1)² + 4 = 2(1) + 4 = 2 + 4
∴ T(1) = 6
→ For the second term, n = 2
∵ T(2) = 2(2)² + 4 = 2(4) + 4 = 8 + 4
∴ T(2) = 12
→ For the third term, n = 3
∵ T(3) = 2(3)² + 4 = 2(9) + 4 = 18 + 4
∴ T(3) = 22
→ For the fourth term, n = 4
∵ T(4) = 2(4)² + 4 = 2(16) + 4 = 32 + 4
∴ T(4) = 36
→ For the tenth term, n = 10
∵ T(10) = 2(10)² + 4 = 2(100) + 4 = 200 + 4
∴ T(10) = 204
The first four terms and the 10th term are 6, 12, 22, 36, ......., 204
b.
∵ T(n) = 3n² - 3 is the rule of the sequence
→ For the first term, n = 1
∵ T(1) = 3(1)² - 3 = 3(1) - 3 = 3 - 3
∴ T(1) = 0
→ For the second term, n = 2
∵ T(2) = 3(2)² - 3 = 3(4) - 3 = 12 - 3
∴ T(2) = 9
→ For the third term, n = 3
∵ T(3) = 3(3)² - 3 = 3(9) - 3 = 27 - 3
∴ T(3) = 24
→ For the fourth term, n = 4
∵ T(4) = 3(4)² - 3 = 3(16) - 3 = 48 - 3
∴ T(4) = 45
→ For the tenth term, n = 10
∵ T(10) = 3(10)² - 3 = 3(100) - 3 = 300 - 3
∴ T(10) = 297
The first four terms and the 10th term are 0, 9, 24, 45, ......., 297
c.
∵ T(n) = -3n² + 7 is the rule of the sequence
→ For the first term, n = 1
∵ T(1) = -3(1)² + 7 = -3(1) + 7 = -3 + 7
∴ T(1) = 4
→ For the second term, n = 2
∵ T(2) = -3(2)² + 7 = -3(4) + 7 = -12 + 7
∴ T(2) = -5
→ For the third term, n = 3
∵ T(3) = -3(3)² + 7 = -3(9) + 7 = -27 + 7
∴ T(3) = -20
→ For the fourth term, n = 4
∵ T(4) = -3(4)² +7 = -3(16) + 7 = -48 + 7
∴ T(4) = -41
→ For the tenth term, n = 10
∵ T(10) = -3(10)² + 7 = -3(100) + 7 = -300 + 7
∴ T(10) = -293
The first four terms and the 10th term are 4, -5, -20, -41, ......., -293
d.
∵ T(n) = 4n² - 5 is the rule of the sequence
→ For the first term, n = 1
∵ T(1) = 4(1)² - 5 = 4(1) - 5 = 4 - 5
∴ T(1) = -1
→ For the second term, n = 2
∵ T(2) = 4(2)² - 5 = 4(4) - 5 = 16 - 5
∴ T(2) = 11
→ For the third term, n = 3
∵ T(3) = 4(3)² - 5 = 4(9) - 5 = 36 - 5
∴ T(3) = 31
→ For the fourth term, n = 4
∵ T(4) = 4(4)² - 5 = 4(16) - 5 = 64 - 5
∴ T(4) = 59
→ For the tenth term, n = 10
∵ T(10) = 4(10)² - 5 = 4(100) - 5 = 400 - 5
∴ T(10) = 395
The first four terms and the 10th term are -1, 11, 31, 59, ......., 395
14. Given the function f(x) = 3x -9, what is the value of f(6)?
Answer:
f(6) = 3(6) - 9
Step-by-step explanation:
y = 3(6) - 9
y = 18 - 9
y / f(x) = 9
What is the equation of the line that passes through the point (-8, 3) and has a
slope of -1/4
Answer:
-1/4x + 1 ( If this is wrong then ignore this)
Step-by-step explanation:
The formula for a problem like this is y - y1 = m(x - x1). The x coordinate, -8 is the x1 and the y coordinate 3 is x1. So the equation is y - 3 = -1/4(x + 8)
Equation:
y - 3 = -1/4(x + 8)
y - 3= -1/4x - 2
y = -1/4x + 1
Therefore the equation for the line is y = -1/4x + 1
Given parameters:
Slope of the line = [tex]-\frac{1}{4}[/tex]
Coordinates of the points = (-8, 3)
Unknown:
Equation of the line = ?
Solution:
To find the equation of the line, we must note that any straight line can be represented by the equation;
y = mx + c
where x and y are the coordinates
m is the slope
c is the y-intercept of the line
Input the parameters and solve for c;
x = -8 and y = 3;
3 = [tex]-\frac{1}{4}[/tex] x (-8) + c
3 = 2 + c
c = 1;
So the equation of the line is ;
y = [tex]-\frac{1}{4}[/tex]x + 1
multiply through by 4;
4y = -x + 4
The equation of the line is 4y = -x + 4
what is the change between -15 and 11
Plz help me I’ll give brainliest
Answer: (below)
Step-by-step explanation:
y = 2x + 1
slope = 2
y-int = (0, 1)
y = 3x - 1
slope = 3
y-int = (0, -1)
y = 4x
slope = 4
y-int = (0, 0)
y = -3x - 1
slope = -3
y-int = (0, -1)
y = -x - 4
slope = -1
y-int = (0, -4)
y = (2/5)x - 1
slope = 2/5
y-int = (0, -1)
Task: 4 2/3 yards = ? feet
whats the rule
Answer:
4 2/3 yards = 14 feet
Step-by-step explanation:
1 yard = 3 feet
Somebody help ...............................
If the area of a rectangle is 100, then the length is 25 and the width is 4
Answer:
Yes.
Step-by-step explanation:
since area is length x the width, so in this case it would be 25 x 4 = 100
What does the graph of y = -4 look like?
Deductive reasoning uses all of the following except...
A. Laws
B. Patterns
C. Facts
D. Rules
Angle A and Angle B are supplementary. If Angle A has a measure of 100 degrees and Angle B has a measure of 7x, what is the value of x?
Answer:
x=11.429 (rounded) because a supplementary angle is equal to 180 degrees so 180-100=80. 80/7=11.429 (rounded).
Simplify 6(3a - 8b + 2)
When I solve (1 + 5n^4 + n^2) + (8n^4 - 4 - n^2), is the answer -3 + 13n^4 + n^2 or just -3 + 13n^4
Answer:
Just -3 + 13n^4
Step-by-step explanation:
number of your answer choice and the answer itself.
2. The point (5,-9) is the image under the translation (x, y) = (x + 4, y - 2). What is the pre-image?
1) (9,-11)
2) (1, -7)
3) (1, -11)
4) (20, 18)
+ Ac
Pear Deck Interactive Slide
Students, write your response!
Answer:
Answer: (1,-7)
Step-by-step explanation:
since the translation is under (x + 4, y - 2)
the symbols (+ and -) would change so the translation to use would be
(x - 4, y + 2)
so you plug in (5, -9) to the new translation and you get your answer which is (1,-7)
A company's stock began the day at $36.66 per share. That price drops by $1.69 each hour.
a. What is the price per share after 6 hours?
Answer:
After 6 hours the price per share is $26.52
Step-by-step explanation:
You multiply 1.69 by how many hours which in your case is 6. This gives you $10.14. Then you subtract 36.66 by 10.14 and you get your answer.
Hope this helps!
What is the probability that a randomly chosen exam score is above 300?
Answer:
I DONT KNOW SORRY DO YOU HAVE ANY OTHER QUESTIONS ON ANYTHING ELSE?
Step-by-step explanation:
is 3.14 a terminating decimal ?
Answer:
Yes, it is a terminating decimal.
Step-by-step explanation:
3.14 ends and it does not repeat. If it repeated, it would be a repeating decimal but since it does not, it is a terminating decimal.
To estimate the mean number of text messages sent by cell-phone users, a researcher chooses a location on a college campus in the city and surveys the first 50 people who walk past. These subjects are asked how many text messages they have sent in the past 24 hours. Is it likely that bias will be present in the sample?
A) Because this is a convenience sample, it is likely that the sample results will be unbiased.
B) Because this is a convenience sample of college students, it is likely that bias is present and that the results will overestimate the mean number of text messages sent.
C) Because this is a convenience sample of college students, it is likely that bias is present and that the results will underestimate the mean number of text messages sent.
D) Because this is a voluntary response sample of college students, it is likely that bias is present and that the results will overestimate the mean number of text messages sent.
Answer:
WARNING! C IS INCORRECT 2021.
MOST LIKELY (B): Because this is a convenience sample of college students, it is likely that bias is present and that the results will overestimate the mean number of text messages sent.
ED2021