Answer:
[tex]y=\frac{1}{3}x[/tex]
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
1) Determine the slope (m)
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where two points the line passes through are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the given points (-3,-1) and (6,2)
[tex]=\frac{2-(-1)}{6-(-3)}\\=\frac{2+1}{6+3}\\=\frac{3}{9}\\=\frac{1}{3}[/tex]
Therefore, the slope of the line is [tex]\frac{1}{3}[/tex]. Plug this into [tex]y=mx+b[/tex]:
[tex]y=\frac{1}{3}x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=\frac{1}{3}x+b[/tex]
Plug in one of the given points and solve for b
[tex]2=\frac{1}{3}(6)+b\\2=2+b[/tex]
Subtract 2 from both sides to isolate b
[tex]2-2=2+b-2\\0=b[/tex]
Therefore, the y-intercept is equal to 0. Plug this back into [tex]y=\frac{1}{3}x+b[/tex]:
[tex]y=\frac{1}{3}x+0\\y=\frac{1}{3}x[/tex]
I hope this helps!
The slope between the points (4,2) and (1. p) is 4. Find p and write the
equation of the line that has these points in point slope form.
Hint
P-2
D-10
equation of the line: \y - y1) = m(- X1)
Y1
m-
X1
Answer:
[tex]slope = \frac{y_2 - y_1}{x_2-x_1}\\\\4 = \frac{p-2}{1-4} \\\\4 \times -3 = p -2\\\\-12 + 2 = p \\\\p = -10 \\\\Equation \ of \ line : \\\\(y -y_1) = m(x - x_1)\\\\y - 2= 4(x-4)\\\\y - 2 = 4x -16\\\\y = 4x -14[/tex]
Hi there! The slope formula is:
[tex] \large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]
We know that the slope is 4 but we are missing the value of p. (Define m = slope)
What we have now are:
two ordered pairs (4,2) and (1,p)value of slope = 4We are going to substitute these values and solve the equation for p-term.
[tex] \large{4 = \frac{2 - p}{4 - 1} } \\ \large{4 = \frac{2 - p}{3} } \\ \large{4(3) = \frac{2 - p}{3} (3)} \\ \large{12 = 2 - p} \\ \large{p = 2 - 12 \longrightarrow \boxed{p = - 10}}[/tex]
Hence, the value of p is -10.
Next, we have to write the equation of a line in point-slope form. The point-slope form is:
[tex] \large \boxed{y - y_1 = m(x - x_1)}[/tex]
Define that (x1, y1) = ordered pairs
Since we have two given points, we can either use the first point or second point. Both work.
First Point
For our first ordered pairs (4,2), substitute x1 = 4 and y1 = 2 in the equation.
[tex] \large{y - 2 = 4(x - 4)}[/tex]
Hence, the equation of a line in point-slope form as in (4,2) is y-2=4(x-4)
Second Point
For our second ordered pairs (1,p), we know that p = -10 from the equation that we solved. Therefore (1,p) = (1,-10). Substitute x1 = 1 and y1 = -10 in the equation.
[tex] \large{y - ( - 10) = 4(x - 1)} \\ \large{y + 10 = 4(x - 1)}[/tex]
Hence, the equation of a line in point-slope form as in (1,-10) is y+10 = 4(x-1)
Answer
The value of p is -10 (p = -10)y - 2 = 4(x-4) —> use (4,2) to form an equation. y + 10 = 4(x-1) —> use (1,-10) to form an an equation.Both equations work for point-slope form.
Questions can be asked through comment.
Hope this helps, and Happy Learning! :)
what is 5 to the 3rd power
Answer: 125
Step-by-step explanation: 5•5•5
circle the expression equivalent to (5x^3)^2
25x^5
25x^6
10x^5
10x^6
Answer:
It's 25x^6.
Thumbs-up (^_-)
which quadratic equation has 2 and -3 as its roots ?
Answer:
alfa = 2
beeta = -3
product of zeros = 2x-3= -6
sum of zeros = 2+[-3] = -1
POLYNIMIAL = k[x²-[sum]+product]
=k[ x²-[-1] +[-6]]
= k[ x²+1 -6]
= x²-5
hence , the quadratic equation is x²-5
HERES UR ANS .
HOPE IT DOES HELP U
IF SO PLZ MARK THE BRAINLIESTT !!!!\
what is x to the 2nd power?
Answer:
x2 or x square
Step-by-step explanation:
hope it helps
ASAP WILL GIVE BRAILIEST!!!
Answer:
Step-by-step explanation:
6^10 can also be written as
b.6^8.6^2
6^8+2
610
d.(6^10)^1
6^10*1
6^10
Answer:
B and d are correct because does are the only two that equal 6^10 ( or 60466176 )
Step-by-step explanation:
Find the value of x,$3$3)/7:):7):7:
(3x - 5) + 2(5x - 10) + 2(6x + 25) = 540
3x - 5 + 10x - 20 + 12x + 50 = 540
25x + 25 = 540
25x = 540 - 25
25x = 515
x = 515 / 25
x = 20.6
Answer:
[tex]\huge\boxed{\sf x = 20.6}[/tex]
Step-by-step explanation:
We know that the sum of interior angles of a pentagon is:
=> (n-2) *180
Were n is the no. of sides
=> (5-2)*180
=> 3 * 180
=> 540
Hence, The sum of interior angles of a pentagon is 540.
So,
=> 3x - 5 + 6x + 25 + 5x - 10 + 5x - 10 + 6x + 25 = 540
Combining like terms
=> 3x + 6x + 6x + 5x + 5x - 5 + 25 + 25 - 10 - 10 = 540
=> 25x + 25 = 540
=> 25x = 540 - 25
=> 25x = 515
Divide both sides by 25
=> x = 515 / 25
=> x = 20.6
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Need help
Four students answered the problem at the top of the table. The table shows their answers. Which student gave the correct answer?
7a² - 4 if a = 4
Student Answer
Lucia 110
Terry 108
Heath 24
Robin 22
Robin B) Heath C) Terry D) Lucia
and question 2
At Claremont Junior High, 72 out of 120 students usually ride the bus. If there are 500 students, how many should the bus drivers be prepared to bring to school?
Answer:
Terry 108
300
Step-by-step explanation:
7a² - 4 if a = 4
7(4)² - 4
7(16) - 4
112 - 4
108
Terry 108
----------------------------
72/120 * 500
300
-3 - 2e - 7 = 10
e = ?
In a scale drawing of a house, 1/2 inch = 1 1/2 feet. If the length of a kitchen is 5 1/2 inches on a scale drawing, what is the actual length of the kitchen?
Answer:
16 1/2 feet
Step-by-step explanation:
The above question is calculated as:
1/2 inch = 1 1/2 feet.
5 1/2 inches = x
Cross Multiply
1/2 inch × x = 5 1/2 inch × 1 1/2 feet
x = 5 1/2 inch × 1 1/2 feet/ 1/2 inch
x = 11/2 × 3/2 ÷ 1/2
x = 11/2 × 3/2 × 2/1
x = 33/2 feet
x = 16 1/2 feet
Therefore, the actual length of the kitchen is 16 1/2 feet
can someone pls pls help me ?
Answer:
a=4
Step-by-step explanation:
13x2=26
34-26=8
8/2=4
Help me please I need this like rnnnnn
Which equation represents a car that gets more miles per gallon of gas than Mitch's car?
Helppppp!!! Plsss
10.575 as a fraction?
Answer:
[tex]10 \frac{23}{40}[/tex]
Step-by-step explanation:
Convert to a mixed number by placing the numbers to the right of the decimal over 1000. Reduce the fraction.
Answer:
423/40 or if it can't be improper than 10 23/40
a tennis ball is hit with a vertical velocity of 40ft/s from an initial height of 7ft. In how many seconds will the ball hit the ground? Round your answer to the nearest tenth, if necessary. PLEASE SHOW ANY WORK IF POSSIBLE!!!!! THANK YOU SO MUCH TO WHOEVER ANSWERS THIS!!!!
Answer:
friend me on here and imma send you the link Step-by-step explanation:
My bill at the hair salon came to $110. If I tip my stylist 20% what will the total bill be
Answer:
I think it would be 132
Step-by-step explanation:
20% of 110=22 (22+110)=132
2.35 x 23.6 =
show work
Answer:
hope this helps <33 (55.460)
Step-by-step explanation:
2.35
x 23.6
---------------------
1 23
1 . 4 1 0
1 1
7 . 0 5 0
1
47 . 0 0 0
---------------------
1
5 5 . 4 6 0
Now say you invest the $6,500 and the highest interest rate you can find is 2.5% compounded annually, but you would have to leave the investment in the account for a minimum of 5 years. If you decide to wait 5 years to buy the car, how much more money will you have to save to buy a car at the $8,000 price?
Answer:
$648.5
Step-by-step explanation:
Given data
Principal= $6,500
Rate= 2.5%
Time= 5 years
The compound interest formula is given as
A= P(1+r)^t
substitute
A= 6500(1+0.025)^5
A= 6500(1.025)^5
A=6500*1.131
A=$7351.5
After 5 years the money in the account will be $7351.5
Now to buy a car of $8,000
The added amount will be
=$8,000-$7351.5
=$648.5
plzzzzz I will mark u as the brillianest plzzzzzzzzzzzzzzzzzzzz
Answer:
0.05%
Step-by-step explanation:
PLSS HELP ASAP I NEED RN
Evaluate the expression (18+7)+5³-9
Answer:
141
Step-by-step explanation:
Answer:
Step-by-step explanation:
18+7+5^3-9
25+125-9
150-9
141
I need help. I don’t understand this problem.
A. Length in the side adjacent to
B. Length in the side opposite to
C. cos(
D. JL/KL
Answer: one, sorry wrong person
Step-by-step explanation:
What is the mean? (5, 8, 1, 7, 4, 3, 2, 2)
Answer:
mean=sum of data/no of data
=5+8+1+7+4+3+2+2/8
=32/8
4
Step-by-step explanation:
Therefore mean=4
Order these numbers from least to greatest.
6.58, 6.8, 6.4082, 6.509
help pls
Answer:
6.4082, 6.509, 6.58, 6.8
Step-by-step explanation
:)
Find the value of the variable. If your answer is not an integer, leave it in simplest radical form.
92√
9 square root of 2
93√
9 square root of 3
93√2
the fraction with numerator 9 square root of 3 and denominator 2
92√2
The city of Redmond is planning to build a new park by enlarging the current park by a scale factor of 3. The current park has an area of 30,125 yd².
The area of the new park is ___ yd².
Answer: I think it’s Area of the new park is 602000 yd
Answer:
90,375 yd^2
Step-by-step explanation:
A scale factor of three means that the park will be 3 times larger than the original, they may use fancy words, but it’s that simple.
30,125 * 3 = 90,375 yd^2
A hiker leaves her camp in the morning. She walks 9 miles west then 10 miles north. Explain how you would find how far she has traveled from her camp.
Answer:
About 13.45 miles ( rounded )
Step-by-step explanation:
You would use the pythagorean theorem to solve this. ([tex]a^{2}[/tex]+ [tex]b^{2}[/tex] = [tex]c^{2}[/tex])
[tex]a^{2}[/tex] would be one length of that triangle, we'll use 9.
[tex]b^{2}[/tex] would be the other length of that triangle, we'll use 10.
So, now you have to square both of them.
[tex]9^{2}[/tex] = 81 ( 9 x 9 ) [tex]10^{2}[/tex] = 100 ( 10 x 10 )
Which you will get 81 and 100. Then you add those two numbers together.
100 + 81 = 181
Now that you have 181, you have to square root 181.
[tex]\sqrt{181}[/tex]
With that you should get 13.45 miles. (rounded)
IMPORTANT! SOMEONE PLEASE LOOK AT MY UNANSWERED QUESTIONS FROM THE PAST HOUR!!! I REALLY NEED HELP!!!
Answer:
Step-by-step explanation:
kk
What is the opposite operation of squaring a number?
A Taking the cube root
B Taking the square root
C Dividing by the number
D Multiplying by the number
An architect makes a scale drawing of a building. The scale used is 1 cm represents 20 m. Calculate the actual width of the building if the width on scale drawing is 24.5 cm
Answer: 490 m
Step-by-step explanation: