Answer:
[tex] \large{ \tt{❃ \: STEP- BY - STEP \: EXPLANATION}} : [/tex]
Let the equation of line passes through the points A ( 4 , - 1 ) and B ( - 7 , 4 ) . Let A ( 4 , -1 ) be ( x₁ , y₁ ) & B ( - 7 , 4 ) be ( x₂ , y₂ )[tex] \large{ \tt{❁ \: LET'S \: START}} : [/tex]
Using two - point form of the equation of straight line , we have :[tex] \boxed{ \large{ \bf{❀ \: y -y _{1} = \frac{y_{2} - y_{1} }{x_{2} - x_{1}} (x - x_{1)}}}}[/tex]
- Plug the values :
[tex] \large{ \bf{⇢ \: y - ( - 1) = \frac{4 - ( - 1)}{ - 7 - 4}(x - 4) }}[/tex]
[tex] \large{ \bf{⇢y + 1 = \frac{4 + 1}{ - 11} (x - 4)}}[/tex]
[tex] \large{ \bf{⇢ \: y + 1 = - \frac{5}{11} (x - 4)}}[/tex]
[tex] \large{ \bf{⇢y + 1 = - \frac{5}{11}x + \frac{20}{11} }}[/tex]
[tex] \large{ \bf{⇢y + 1 = \frac{ - 5x + 20}{11} }}[/tex]
[tex] \large{ \bf{⇢11(y + 1) = - 5x + 20}}[/tex]
[tex] \large{ \bf{⇢11y + 11 = - 5x + 20}}[/tex]
[tex] \large{ \bf{⇢5x + 11y + 11 - 20 = 0}}[/tex]
[tex] ⇢ \boxed{\large{ \bold{\bf{5x + 11y - 9 = 0}}}}[/tex]
♕ Hence , 5x + 11y - 9 = 0 is the required equation of the line.✺ The two most important days in your life are the day you are born and the day you find out why ! ♪
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Solve for x in the system of equations
2x+5y=20
-2x+10y=25
Hi there!
[tex]\large\boxed{x = 2.5}[/tex]
We can solve for x by using an elimination of variables.
2x + 5y = 20
-2x + 10y = 25
Add the two equations to eliminate x:
0x + 15y = 45
15y = 45
y = 3
Substitute this value of y into an equation to solve for x:
2x + 5(3) = 20
2x + 15 = 20
2x = 5
x = 2.5
Answer:
I believe it is (5/2,3)
Step-by-step explanation:
Hope this works for u :)
if you put $300 into a savings account and the bank account has a 4% annual compound interest-rate, find how much money will be in your savings account after 10 years if you don’t take any money out or put any more in.
hey! please help i’ll give brainliest
Answer:
D
Step-by-step explanation:
the others are positive
Answer:
I think it's D
hope this helps
have a good day :)
Step-by-step explanation:
HELP I WILL MARK BRANLIEST
Answer:
[tex]A) 22.5cm[/tex]
Step-by-step explanation:
[tex]\frac{AB}{BC} =\frac{FG}{GH}[/tex]
⇒ [tex]\frac{9}{15} =\frac{13.5}{x}[/tex]
⇒ [tex]\frac{9}{15} =\frac{13.5}{x} [cross ~multiply][/tex]
⇒ [tex]9x=202.5[/tex]
⇒[tex]\frac{9x}{9} =\frac{202.5}{9} ~[divide~both ~sides~by ~9][/tex]
⇒ [tex]x=22.5[/tex]
------------------------
hope it helps...
have a great day!!
A bus comes to a station once every 10 minutes and waits at the station for 1.5 minutes. Assume that you arrive at the station at a random time. Express each probability as a decimal.
Answer:
friend me on here and imma send you the link Step-by-step explanation:
A square with side length 4 cm represents 20% of a larger figure what is the area of the larger figure?
At a carnival, Ivan bought 9 packs of 16 tickets each. He has used 35 of the tickets so far. How many tickets does he have left?
Answer:
He has 109 tickets left!
Step-by-step explanation:
ok, let's find out how many tickets he bought in total!
he bought: 9 packs with 16 tickets inside each pack
so...
9 x 16 = 144
144 - 35 = 109
Make sure to double check before writing it down!
Look at the sequence of numbers.
6 12 18 24
a Write down the next number in the sequence.
b Write down the term-to-term rule.
C Write down the position-to-term rule.
Answer:
Here we have the sequence:
6, 12, 18, 24
We can assume that this is an arithmetic sequence, this is, the difference between any two consecutive terms is always the same, D.
To check this, let's find the difference between the consecutive terms:
12 - 6 = 6
18 - 12 = 6
24 - 18 = 6
So we can conclude that this is an arithmetic sequence, and the difference between any two consecutive terms is always 6.
a) Then the next number in the sequence will be equal to the previous number plus 6, this is:
24 + 6 = 30
The next number in the sequence is 30
b) The term-to-term rule is the rule that defines the n-th term based on the previous terms.
Here we already know that each term in this sequence is the previous one plus six, so we can write this as:
Aₙ = Aₙ₋₁ + 6
c) The position-to-term rule is the general one.
Here we need to know that, the first term, A₁ = 6
Then, the n-th term will be A₁ plus (n - 1) times 6.
Then the rule is:
Aₙ = A₁ + (n - 1)*6
Replacing A₁ by its value, the rule becomes:
Aₙ = 6 + (n - 1)*6
PLZ HELP ME MARK AS BRAINLY HOWEVER ANSWERS FIRST!!!!
Answer:
115
Step-by-step explanation:
When multiplying a fraction by a fraction, you multiply the numerator by the numerator and same with the denominator. 13 times 4 =52, 7 times 9=63, 52+63=115. Hope this helps!
Which equation represents a car that gets more miles per gallon of gas than Mitch's car?
Helppppp!!! Plsss
Describe the graph of the quadratic from the original y = x^2 .
y = 5(x+4)2 + 7
a. Wider/narrower?
b. Shifts left/right?
c. Opens up/down?
d. Shifts up/down?
Answer:
a. Narrower
b. Shifts left
c. Opens up
d. Shifts up
Step-by-step explanation:
The original quadratic equation is y = x²
The given quadratic equation is y = 5·(x + 4)² + 7
The given quadratic equation is of the form, f(x) = a·(x - h)² + k
a. A quadratic equation is narrower than the standard form when the coefficient is larger than the coefficient in the original equation
The quadratic coefficient is 5 > 1 in the original, therefore, the quadratic equation is narrower
b. Given that the given quadratic equation has positive 'a', and 'b', and h = -4, therefore, the axis of symmetry shifts left
c. The quadratic coefficient is positive, (a = 5), therefore, the quadratic equation opens down
d. The value of 'k' gives the vertical shift, therefore, the given quadratic equation with k = 7, shifts up.
PLEASE HELP!!! 50 POINTS. Identify each graph as a linear function, nonlinear function, or not a function.
Answer:
1)non linear
2)linear
3)non linear
4) not a function
John received a shipment of 3 crates, this was only 20% of his total order. How many crates did John order in all?
Answer:
Total number of crates John order = 15 crates
Step-by-step explanation:
Given:
Total number of crates John received = 3 crates
Amount of order John received = 20%
Find:
Total number of crates John order
Computation:
Total number of crates John order = Total number of crates John received / Amount of order John received
Total number of crates John order = 3 / 20%
Total number of crates John order = 3 / 0.2
Total number of crates John order = 15 crates
what is the probility of tossing talls twice
find the simple interest of Rs 4000 for 2 years at the rate of 8%
Answer:
Rs 4640
Step-by-step explanation:
8/100 x 4000 = 320
320 x 2 = 640
4000+ 640 = Rs4640
Feel free to mark it as branliest
Heidi solved the equation
3(x + 4) + 2 = 2 + 5(x – 4). Her steps are below:
3x + 12 + 2 = 2 + 5x – 20
3x + 14 = 5x – 18
14 = 2x – 18
32 = 2x
16 = x
Use the drops-downs to justify how Heidi arrived at each step.
Answer:
her first step was) Combining like terms= 12+2
her second step was) Combining like terms/ subtracting 5x from 3x= 5x-3x
her third step was) Adding to both sides 18= 14+18
her last step was) isolating the variable/ dividing 2 from both sides= 32/x.
Hope You Got It!
PLEASE MARK ME AS THE BRAINLIEST
The line that goes through the points (0,-4) and (1,2) is......
Answer: The equation for the line is “y = 6x - 4”
Step-by-step explanation: To find this answer we will put it in slope-intercept form which is y = mx +b. To first find m which is the slope you subtract the the second y by the first y over the second x by the first x. It looks like this y2 - y1/ x2 - x1. After we find the slope which is 6, to find the y-intercept which is b we just plug a point we used to find the slope into the equation we have. It looks like this y = 6x + b —> 2 = 6(1) + b... I used (1,2). Then you solve for b by multiplying 1 by 6 and then subtracting 6 to both sides to get b by itself. So it goes from 2 = 6(1) + b into -4 = b. Then you just put -4 into b and you get the answer y = 6x - 4.
Have a nice day!
One of the legs of a right triangle measures 5 cm and its hypotenuse measures 9 cm. Find the measure of the other leg.
Answer:
the other leg = 2 root 14, which is roughly 7.48331 cm
Step-by-step explanation:
9squared = 5squared + x
81-25=xsquared
squareroot 56 = 2 root 14
Lion 30% Eagle 40 Anaconda 20% Crane 10% If 80 people were surveyed, how many more people voted for eagle than for anaconda?
Answer:
16
Step-by-step explanation:
8 =10%
8x2=16
16 is 20%
32=40%
8x4=32
32-16
[tex]{[x,y]:y=\frac{x}{x-8}][/tex]
What are the closing costs for a recent home purchase that includes a mortgage of $80,528 at 1.5 points and attorney's fees of $375 and title fees of $215?
Answer:
1797.92
Step-by-step explanation:
The closing cost for the home percent mortgage can be calculated as follows
= 0.01×1.5×80,528
= 1207.92
1207.92+375+215
= 1797.92
Hence the closing cost for the home purchase is 1797.92
Answer:
$1,797.92
Step-by-step explanation:
helppppp meeeee plz i'll give brainliest!!!
Answer:
1
Step-by-step explanation:
2m + 4 = 6
2m = 6 - 4
2m = 2
m = 1
the answer is one.. ....
Please help 1-9 {30 points + brainlist}
Answer:
1. 3.4
2. 23.4
3. 8
4. 14.25
5. 9.6
6. 6
7. 25
8. 28.8
9. 1.35
I hope this is the right answer key
Step-by-step explanation:
8.
If one zero of the quadratic polynomial x2 - 7x + 5k is -2, then find the value of k
Answer:
k = - 3.6
Step-by-step explanation:
Given x = - 2 is a zero then f(- 2) = 0
Substitute x = - 2 into the polynomial and equate to zero
(- 2)² - 7(- 2) + 5k = 0
4 + 14 + 5k = 0
18 + 5k = 0 ( subtract 18 from both sides )
5k = - 18 ( divide both sides by 5 )
k = - 3.6
Evaluate the expression for w = 1/6
1/2w + 3=
Answer:
37/12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
Identify
1/2w + 3
w = 1/6
Step 2: Evaluate
Substitute in w: 1/2(1/6) + 3Multiply: 1/12 + 3Add: 37/12Find the equation of the circle with center (4, 4)
and radius of 7.
A (x-4)+(y+4)*= 49
B (x– 4) +(y - 4) = 49
C (x+4)² – (y + 4) = 7
D (x+4)*+(y+4)2=7
Witch is the net for the figure shown?
The list shows the scores posted by a professional golfer for his last ten rounds of golf. , Scores for 18 Holes of Golf 67 68 69 69 69 71 71 72 73 75 Question What is the median of the data set? ( NEED HELP ASAP)
Answer:
The correct answer is 70
Step-by-step explanation:
The roof of an airplane hanger is a parabola with the focus located 32 feet from the vertex. If the building is 200 feet wide and the side walls are 25 feet tall, find the maximum height of the hangar.
Answer:
[tex]h_m=103.125ft[/tex]
Step-by-step explanation:
From the question we are told that:
Focus [tex]F=32ft[/tex]
Width of building [tex]W=200ft[/tex]
Height[tex]h=25[/tex]
Generally the equation for the Parabola is mathematically given by
[tex]y^2=4ax[/tex]
[tex]y^2=128x[/tex]
[tex]y^2=128b^2[/tex]
[tex]y=\pm8\sqrt{2b}[/tex]
[tex]b=\frac{25}{2\sqrt{2}}[/tex]
Therefore
[tex]x=b^2[/tex]
[tex]b^2=\frac{625}{8}[/tex]
Generally the Generally the equation for momentum is mathematically given by mathematically given by
[tex]h_m=x+h\\h_m=\frac{625}{8}+25[/tex]
[tex]h_m=\frac{825}{8}ft[/tex]
[tex]h_m=103.125ft[/tex]
Solve n x 8 = 24
please help me and solve the equation.
Answer:
3
Step-by-step explanation:
Set it up as
8n = 24
n = 24/8
n = 3
Answer:
n=3
Step-by-step explanation:
24 divided by 8 is equal to n
go back and substitute the answer 3 x 8= 24
that is a fact if it is a fact then it is true and you have your answer.