Answer:
The equation in the slope-intercept form will be:
[tex]y=2x+10[/tex]
Step-by-step explanation:
Given the points
(-3, 4)(-4, 2)Finding the slope between two points
[tex]\left(x_1,\:y_1\right)=\left(-3,\:4\right),\:\left(x_2,\:y_2\right)=\left(-4,\:2\right)[/tex]
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{2-4}{-4-\left(-3\right)}[/tex]
[tex]m=2[/tex]
As the point-slope form of the line equation is
[tex]y-y_1=m\left(x-x_1\right)[/tex]
putting the values m=2 and the point (-3, 4)
[tex]y-4=2\left(x-\left(-3\right)\right)[/tex]
[tex]y-4=2\left(x+3\right)[/tex]
Writing the equation in slope-intercept form
[tex]y=mx+b[/tex]
where m is the slope, and b is the y-intercept
so the equation becomes
[tex]y-4=2\left(x+3\right)[/tex]
add 4 to both sides
[tex]y-4+4=2\left(x+3\right)+4[/tex]
[tex]y=2x+10[/tex]
Therefore, the equation in the slope-intercept form will be:
[tex]y=2x+10[/tex]
Find the area of a compound shape
Can you please explain
Answer: right there
Step-by-step explanation:
Find area of semi circle, and then rectangle.(rectangle is 20x14). 20xdiameter.
evaluate 6a+4 when a=12
Answer:
Answer is 76
Step-by-step explanation:
6a+4 a=12
insert the value of "a" into equation
=6(12)+4
=72+4
=76
evaluate 8.3s + 7.5t when s=3 and t=4
plz help
the zoo has 30 animals all of them are lions or monkeys. There is a ratio of 3 lions to 7 monkeys. How many monkeys are there?
Answer:
21 monkeys
Work:
The ratio is 3:7 so 3*3=9 lions 7*3=21 monkeys
9+21=30
if a ship travels west for 15 miles and south for 13 miles to the nearest tenth approximately how far away is it from its starting point
Answer:
23
Step-by-step explanation:
Which graph represents points on the polar curve r = 2 + 5sin(θ)?
Answer:
Graph 2
Step-by-step explanation:
See image attached. Hope this helps.
The second graph shown the polar curve at r = 7.
Given ,
Equation of polar curve = r = 2 + 5sin(θ)
We have to find ,
Which of following graph show polar curve ,
At r = 2 + 5sin(θ)
The area between two curves in the polar coordinate system, first find the points of intersection, then subtract the corresponding areas.
First graph ; r = 2 + 5sin(θ)
Where ,
[tex]\theta = 0[/tex]
r = 2 + 5sin0
r = 2 + 5 (0)
r = 2
Second graph : r = 2 + 5sin(θ)
Where
[tex]\theta = \frac{\pi }{2}[/tex]
Then,
r = 2 + sin[tex]\frac{\pi }{2}[/tex]
r = 2 +5 ( 1 )
r = 2+5
r = 7
Third graph ; r = 2 + 5sin(θ)
where
[tex]\theta = \pi[/tex]
Then,
r = 2 + 5sin[tex]\pi[/tex]
r = 2 + 5(0)
r = 2
Fourth graph ; r = 2 + 5sin(θ)
Where
r = 2 + 5sin[tex]\frac{3\pi }{2}[/tex]
r = 2 + 5 (-1)
r = -3
Fifth graph ; r = 2 + 5sin(θ)
Where
[tex]\theta = 2\pi[/tex]
r = 2 + 5sin(2π)
r = 2+ 5 (0)
r = 2
Comparing all the value of the graph ,the second graph shown the polar curve at r = 7.
Hence, The second graph shown the polar curve at r = 7.
For more information about Polar curves click the link given below.
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10.An object of mass 300 kg is observed to accelerate at the rate of 4 m/s2. Calculate the force required to produce this
acceleration
PLLLLSSSSS HHHHHEEEELLLLPPPP
Answer:
F=Ma
Step-by-step explanation:
force= 300x4
force= 1200N
The Force required to move a mass of 300 kg is 1200 N
What is force?In Physics, force is defined as The push or pull on an object with mass that causes it to change its velocity. Force is an external agent capable of changing a body's state of rest or motion. It has a magnitude and a direction.
Given here, the mass (M) = 300 kg and acceleration = 4 m/s²
Therefore force required to move a body of mass 300 kg is
F=300×4
= 1200N
Hence, the for required to produce this acceleration is 1200N
Learn more about force here:
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Find the median of 64,65,67,75,80,85,90,90
Answer:
75
Step-by-step explanation:
Median means the middle number in a sequence.
It cost 21 dollars to sent 3 packages. how much does it cost to send 1 package?
Answer:
7
Step-by-step explanation:
21/3=7
Answer:
7 dollars/$7
Step-by-step explanation:
21 divided by 3 = 7
$7 to send 1 package.
factorise [tex]x^{2}[/tex] - 9
Answer:
a1= 1 q= −sinx , dla |q| <1 , ta suma jest zbieżna
a1 1
S=
=
1 −q 1+sinx
w mianowniku podobnie: a1=1 , q= sinx , dla | sinx| <1
1
S=
1 −sinx
i mamy równanie:
1
1+sinx
= tg2x
1
1− sinx
Step-by-step explanation:
Given the figure below, find the values of x and z.
x =
(13x + 30)
z =
(12x + 50)
Answer:
x = 4
z = 92°
Step-by-step explanation:
From the picture attached,
Two straight lines are intersecting each other at a point so that,
(12x + 50)° + (13x + 30)° = 180° [Linear pair of angles]
25x + 80 = 180
25x = 100
x = 4
Therefore, measure of (13x + 40)° = 13×4 + 40
= 52 + 40
= 92°
Since, z° = (13x + 40)° [Vertically opposite angles]
Therefore, z° = 92°
Suppose a test of significance desires to see if there is a difference in mean SSHA scores between men and women. Which is the appropriate alternative hypothesis?
a. The population mean for women equals the population mean for men.
b. The population mean for women does not equal the population mean for men.
c. The population mean for women is greater than the population mean for men.
d. The population mean for women is less than the population mean for men.
Answer:
The correct option is b.
Step-by-step explanation:
A null hypothesis is a sort of hypothesis used in statistics that intends that no statistical significance exists in a set of given observations.
It is a hypothesis of no difference.
It is typically the hypothesis a scientist or experimenter will attempt to refute or discard. It is denoted by H₀.
For instance, H₀: µ = µ₀, where µ₀ is some null value or some claimed value.
Whereas, the alternate hypothesis is the contradicting statement to the null hypothesis.
The alternate hypothesis describes direction of the hypothesis test, i.e. if the test is left tailed, right tailed or two tailed.
It is also known as the research hypothesis and is denoted by Hₐ.
The research statement is:
"If there is a difference in mean SSHA scores between men and women."
Then the appropriate alternative hypothesis will be:
Hₐ: The population mean for women does not equal the population mean for men, i.e. μ₁ ≠ μ₂
The correct option is b.
The seventh grade students are having an end-of-year party in the schoal
cafeteria. There are 754 students attending the party. Each table seats 6 students.
How many tables are needed to seat all of the students?
What are trinomials........
In elementary algebra, a trinomial is a polynomial consisting of three terms or monomials
hope this helped <3
How many terms are in the expression
2k+15-m-3+n-7p = ?
HELP ME PLEASE
Answer:
5
Step-by-step explanation:
once you combine like terms you get 5 terms
(3x+28) + (5x+8y) (12x-28)
Round 258,177 to the nearest hundred thousand.
Answer:
It's 300,000
Step-by-step explanation:
if you round (25)0,000 off you get 300000, so you don't have to worry about the other digits too much
I need help in number 2 ASAP please
Answer:
Step-by-step explanation:
angle A + angle B + angle C = 180° [Sum of all angles of a triangle is 180°]
=> 2x+1 + x+15 + x = 180°
=> 4x + 16 = 180°
=> 4x = 180° - 16°
=> 4x = 164°
=> x = ([tex]\frac{164}{4}[/tex])°
=> x = 41°
[tex]\\[/tex]
angle A = 2x+1 = 2×41 +1 = 82 + 1
=> 83°
angle B = x+15 = 41+15
=> 56°
angle C = x
=> 41°
[tex]\\\\\\[/tex]
HOPE IT HELPS
PLEASE MARK ME BRAINLIEST ✿(◕ᴗ◕)✿
Please help me it’s due today at 3:00pm will mark brainiest please help me please
Answer: 83
Step-by-step explanation:
(88+92+87+x)/4 = 90
(277+x)/4 = 90
x+ 277 = 360
x = 83
88+92+87+93 = 360 / 4 = 90
You'll probably need to get 93 on your fourth grade
URGENT PLEASE HELP I AM GIVING AWAY MANY POINTS I HAVE ATTACHED THE QUESTION
Answer:
a) x=0, x=1
b)x=0, x=4/3
Step-by-step explanation:
I didnt use the graph, just used algebra. For part a, you can find the answers using the graph by looking at the value of x when y = whatever value they give.
A)
3x²-3x+2=2
3x²-3x+0
x(3x-3)=0
For the product of two things to equal zero, one of them has to be zero. For example, if ab=0, then either a or b (or both) are zero.
Therefore..
x=0
or 3x-3=0, ∴x=1
b)
3x²-3x-1 = x-1
3x²-4x=0
x(3x-4)=0
∴x=0, x=4/3
Answer:
I checked it over twice the first guy is correct make him brainliest
Step-by-step explanation:
is 2 a solution of 4x +12=4?
Answer:
no
Step-by-step explanation:
4x +12 = 4
4(2) +12 =/= 4
8 +12 =/= 4
8 +12 = 20
(sorry if it doesn't make sense,I tried)
Answer:
Step-by-step explanation:
point P lies on the origin of a coordinate system. if you translate the point 5 units up, then 4 units left, then 4 units down, the result is point P. what are the coordinates of point P
Answer:
The coordinates of point P after all the translations become: (-4, 1)
Step-by-step explanation:
The point P lies on the origin of a coordinate system.
i.e. P(0, 0)
Translating point 5 units up will translate the coordinates from (0, 0) to :
(x, y) → (x, y+5)
(0, 0) → (0, 0+5) = (0, 5)
THEN
Translating point 4 units left will translate the coordinates from (0, 5) to :
(x, y) → (x-4, y)
(0, 5) → (0-4, 5) = (-4, 5)
THEN FINALLY
Translating point 4 units down will translate the coordinates from (-4, 5) to :
(x, y) → (x, y-4)
(-4, 5) → (-4, 5-4) = (-4, 1)
Therefore, the coordinates of point P(0, 0) after translating point 5 units up, then 4 units left, then 4 units down will be:
(x, y) → (x, y+5) → (x-4, y+5) → (x-4, y+5-4)
(0, 0) → (0, 0+5) → (0-4, 0+5) → (0-4, 0+5-4) = (-4, 1)
Hence, the coordinates of point P after all the translations become: (-4, 1)
Suppose the line of best fit is drawn for some data points. If the mean of the
x-coordinates of the points is 5, and the mean of the y-coordinates of the
points is - 7 the line must pass through which of these points?
A. (-7,5)
B. (7-5)
C. (5, -7)
D. (-5,7)
the correct answer must be option C, which has the coordinates (5, -7), matching the centroid of the data points. Thus, the line of best fit passes through the point (5, -7).
How to find the coordinates?
To determine which point the line of best fit passes through, we need to use the fact that the line passes through the centroid of the data points. The centroid is the point (mean of x-coordinates, mean of y-coordinates).
Given that the mean of the x-coordinates is 5 and the mean of the y-coordinates is -7, the centroid is (5, -7). Therefore, we need to look for the point among the given options that has coordinates (5, -7).
The point (5, -7) is not listed as an option, but we can find the point that is closest to it.
Option A (-7,5) has the coordinates switched, so it cannot be the correct answer. Option B (7-5) is not a valid point since it is missing a comma between the x and y coordinates. Option D (-5,7) has the correct x-coordinate but the wrong y-coordinate.
Therefore, the correct answer must be option C, which has the coordinates (5, -7), matching the centroid of the data points. Thus, the line of best fit passes through the point (5, -7).
To know more about coordinates visit :-
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Fomular for finding perimeter area and circumference of a circle
Answer:
perimeter of a circle=2πR
The perimeter of a circle is the circumference of the circle.
CIRCUMFERENCE
There are two formulas:
1. C = πd (use if the problem gives you the diameter only)
2. C = 2πr (use if the problem gives you the radius only)
AREA
There are several area formulas for a circle but I think for you at your level of math, A = πr^2 is all you need to know.
8minus 2n +3p has how many terms
Answer:
It has two terms.
Step-by-step explanation:
What is the simplified value of the expression below?
12.4 x (negative 6.3)
Answers are below this
–78.12
–1.97
1.97
78.12
Answer:
-78.12
Step-by-step explanation:
a 12.4x-6.3= -78.12
mark as brainlyliest
Answer:
-78.12
Step-by-step explanation:
Find the area of the Compound shape
The answer is 45 m^2
I just need the steps....
Answer:
45 cm^2
Step-by-step explanation:
Dividing the shape into the two separate components of a square and a triangle makes it easier.
The square area is found by multiplying the side by the side, 6cm*6cm which gives us 36cm^2.
Then the triangle the height is 3cm and the base is 6cm. Using the formula 1/2*base*height.
Which would be 1/2*6*3=9cm^2.
Adding the two, 9+36= 45cm^2.
The sequence below follows the Fibonacci rule.
Calculate the next term.
8, 13, 21, 34, 55 *
Answer:
89
Step-by-step explanation:
8, 13,
8+13= 21
13+21 =34
21+34=55
34+55=89
A storage company must design a large rectangular container with a square base. The volume is 6750ft3. The material for the top costs $12 per square foot, the material for the sides costs $5 per square foot, and the material for the bottom costs $8 per square foot. Find the dimensions of the container that will minimize the total cost of material.
What is the hexadecimal equivalent of the decimal number 241?
Answer:
241 = f1
10 16
Step-by-step explanation:
241 Decimal To Hexadecimal Conversion:
step 1 Perform the successive MOD 16 for the given decimal number 241 and note down the remainder for each operation. The last remainder is the MSB (most significant bit) and the first remainder is the LSB (least significant bit).
241 / 16 = 15 : Remainder is 1 → LSB
15 / 16 = 0 : Remainder is 15 → MSB
step 2 Write the remainders from MSB to LSB provide the equivalent hex number
f1
241 = f1
10 16
Decimal
241
Hex
F1
Binary
11110001