Answer:
[tex]y=2x-28[/tex]
Step-by-step explanation:
Slope intercept form:
[tex]y=mx+b[/tex]
where:
m is the slope (change in the y values over the change in the x values)b is the y-intercept (where x is 0)x and y are corresponding coordinate points (x,y)When two lines are perpendicular, their slopes will be opposite reciprocals.
examples:
[tex]\frac{1}{3}[/tex] → flip the fraction and change the sign → [tex]-3[/tex]
-5 or [tex]-\frac{5}{1}[/tex]→ flip the fraction and change the sign → [tex]\frac{1}{5}[/tex]
[tex]\frac{5}{7}[/tex] →flip the fraction and change the sign →[tex]-\frac{7}{5}[/tex]
So find the opposite reciprocal of the given slope:
[tex]y=(slope)x+(y-intercept)\\\\y=-\frac{1}{2} x-3\\\\slope=-\frac{1}{2}[/tex]
Flip the fraction and change the sign:
[tex]-\frac{1}{2}[/tex] → [tex]\frac{2}{1}[/tex] or [tex]2[/tex]
Now insert the new slope and the given points into point-slope form:
[tex]y-y_{1}=m(x-x_{1})\\\\(14_{x_{1}},0_{y_{1}})\\\\y-0=2(x-14)[/tex]
Solve the equation for y. Use the distributive property:
[tex]y-0=2(x)+2(-14)\\\\y-0=2x-28[/tex]
Simplify:
[tex]y=2x-28[/tex]
:Done
Andrew has $15 less in his piggy bank than his friend Tom. Write an algebraic expression that represents the amount of money that Andrew has in his piggy bank.
Answer:
I think the answer is is X-15
Drag the two ordered pairs that are 5.5 units apart.
(-3, -3.5)
(-1.5, 2)
(-1.5, 2.5)
(5, 1.5) (5, -3.5)
(-1.5, -3.5)
Answer: (-1.5, 2) and (-1.5, -3.5)
Step-by-step explanation:
The distance between two points (a, b) and (c, d) is:
D = √( (a - c)^2 + (b - d)^2)
A simpler case, is when we have two points where one of the components is the same for both of them, like:
(a, b) and (a, c)
Then the distance will be:
D = √( (a - a)^2 + (b - c)^2 ) = Ib - cI
Then we need to look for points that have an equal component, and the difference between the other two components is exactly 5.5
The solution will be:
(-1.5, 2) and (-1.5, -3.5)
Where the x-component is the same in both of them, then the distance will be:
D = I2 - (-3.5)I = I2 + 3.5I = 5.5
Natalie wants to start a business, she is going to make bracelets. She spends $40 for a braiding device and materials to start her business. Each times she makes a bracelet it costs her $8 in materials and packaging. Natalie sells her bracelets for $8 each.
y=9+9 because when you take that factor off you add 8 + 1
с
3
7
Solve for c.
= ✓ [?]
Enter the number that
goes beneath the
radical symbol.
C =
Enter
Answer:7.62, if not just 7.6 orr 58 read explanation lol
Step-by-step explanation:
i did the math and i doubled checked on a calculator :P,
cause you use the formula c= [tex]\sqrt{a^2+ b^2}[/tex] and in this case a^2 and b^2 is 3^2 and 7^2 and then you solve so its 9 and 49 and then add them which is 58 and then you find the square root of 58 which is 7.6 or in your case you put 58 under the square root
PLEASE HELP WILL MAKE BRAINLIST
What is the solution to 4|x − 3| + 1 = 1?
A.
x = 3
B.
x = 3 or x = 4
C.
x = 3 or x = 6
D.
No solutions exist.
Answer:
X=3
Step-by-step explanation:
4x-12+1=1
4x=1-1+12
4x=12
x=12/4
x=3
Answer:
x=3
Step-by-step explanation:
4x-12=12-4x I need help solving Multi Step Equations, which variables on both sides.
Answer:
x= 3
Step-by-step explanation:
4x+ 4 x= 12 + 12
8x = 24
x= 24/8
x= 3
How many 2.25-pound containers can you fill with 24.75 pounds of almonds?
Answer:
You can fill 11 containers.
Step-by-step explanation:
This problem is asking you to divide 24.75 pounds among 2.25 pound holding containers.
So all you must do is divide 2.25 by 24.75. This leaves us with a quotient of 11.
Is 0.752 a rational number?
Step-by-step explanation:
yes indeed it is rational
Which expression is equivalent to (3w−8)−4(2w+3)
Answer:
-5w -20
Step-by-step explanation:
(3w-8) -4(2w+3) start by removing the parentheses
3w-8-4(2w+3)
-5w-8-12 collect like terms
-5w-20 and that's how you get the answer
EQUATIONS AND INEC
Worked examples
a) Solve these simultaneous equation by eliminating by subtraction.
5a + 2b = 16 equation 1
3a + 2b = 12 equation 2
Answer:
a=2 and b=3
Step-by-step explanation:
5(2) +2(3) = 10 +6 =16
3(2) + 2(3) = 12
HELP ILL GIVE BRAINLIEST
Answer:
[tex]7.09*10^{8}[/tex]
Step-by-step explanation:
In scientific notation, a number less than 10 (in this case 7.09) is the base, and it is multiplied by 10 with an exponent (in this case 8).
Hi, Can you help me with the area and perimeter?
WILL GIVE BRAINLIEST!! Need answers!!! Solve
1. -2x = -8
2. -2x - 4 = -18
3. 3 (x -4) = -18
4. (X-5) = -7
5. 2 (2x-4) = -16
Answer:
1. x=4
2. x=7
3. x=-2
4. x=-2
5. x=-3
Step-by-step explanation:
1. Divide both sides by -2 to get x by itself
-2x/-2=-8/-2....
x=4
2. Add 4 to both sides and then divide by -2
-2x-4+4=-18+4
-2x/-2=-14/-2
x=7
3. Distribute, add 12 to both sides and then divide by 3
3x-12=-18
3x-12+12=-18+12
3x/3=-6/3
x=-2
4. Add 5 to both sides
x-5+5=-7+5
x=-2
5. Distribute, add 4 to both sides, divide both sides by 4
4x-4=-16
4x-4+4=-16+4
4x/4=-12/4
x=-3
Two bags of bird seed are used to fill these three bird feeders. How much bird seed does each feeder use? Represent the situation using the model. Then solve
Step-by-step explanation:
If two bags of bird seed are used to fill these three bird feeders, then we can say that;
2 bags of bird seed = 3 bird feeders
To know the amount of bird seed that each feeder use, we will say;
x bags of bird seed = 1 bird feeder
Equating both postulates and solving
2 bags of bird seed = 3 bird feeders
x bags of bird seed = 1 bird feeder
Cross multiply
3 * x = 2 * 1
3x = 2
subtract 2 from both sides
3x - 2 = 2-2
3x - 2 = 0
Hence model that represents the situation us 3x - 2 = 0 where x is the number of bird seed that each feeder use.
Next is to solve for x;
3x - 2 = 0
3x = 2
x = 2/3
Hence each feeder used 2/3 bird seed
5 and 2/3 divided by 4?
Answer:
1.41 it’s a infinity answer
Step-by-step explanation:
Find the sum by suitable rearrangement 163+432+237+548
Answer:1380
Step-by-step explanation:
What is the largest output achieved by the function? At what x-value is it hit.
Answer:
f(1) = 4
Step-by-step explanation:
Largest output is 4, when x=1.
2.4 divided by 16.8 please hurry!!
0.14285714285
Calculator ;)
A function is defined by f(x)= x/4. What is f(-8)?
- 2
- -1/2
- 1/2
- 2
Answer:
need this as quick as possible pls
Step-by-step explanation:
Answer:
[tex]f(-8)=-2[/tex]
Step-by-step explanation:
We have the function:
[tex]f(x)=\frac{x}{4}[/tex]
And we want to find f(-8).
So, simply substitute -8 for x. This yields:
[tex]f(-8)=\frac{-8}{2}[/tex]
Divide:
[tex]f(-8)=-2[/tex]
Hence, our answer is -2.
HELLLLPPPP MEEE PLZZZ!!!!
explain how you would find the sign of the quotient 32÷(-2)
/
-16÷4
Answer:
PLEASE ANSWER MY QUESTION! In how many ways 3 different numbers can be chosen from 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 such that the sum of 3 numbers can be divisible by 3. Here (a, b, c); (b, c, a)...... are considered to be the same.
Step-by-step explanation:
PLEASE ANSWER MY QUESTION! In how many ways 3 different numbers can be chosen from 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 such that the sum of 3 numbers can be divisible by 3. Here (a, b, c); (b, c, a)...... are considered to be the same.
Find the square root of 36 by prime factorisation
method
Answer:
36
2×18
2×9×2
2×2×3×3
6²
=> square root of 36 =6
A company manufactures acoustic guitars. The table shows the number of units that the company sold each month over a nine-month period beginning in January.
Month, x 1 2 3 4 5 6 7 8 9
Units, y 150 300 380 425 425 480 520 550 575
Which equation best models the situation?
a y=148.4 x-1-154
b y=46.4x+191.7
c y=148.4 x-1+154
d y= -46.4x+191.7
Answer:
B
Step-by-step explanation:
I took the test.
Answer:
y=148.4sq rt x-1 +154 or c
Step-by-step explanation:
I need help. I don’t understand it. Thanks!
Answer:
Yessss
Step-by-step explanation:
What is the slope of a line perpendicular to 3Y + 6X = 12?
Select one:
a. -2
b. 2
c. 1/2
d. -1/2
e. 1/6
hey will give brainiest if correct
3 inches i agree too 2020
Which of the following is equivalent to 4x-3y=15
A.4/3x-5
B.-4/3x+5
C.4/3x+15
D.3/4x-5
Answer:
the answer is A
Step-by-step explanation:
A = 4/3x-5
Answer:
Step-by-step explanation:
B
4x² + 20 = 0 Solve for X
Step-by-step explanation:
4x^2 + 20 = 0
divide 4 throughout:
x^2 + 5 = 0
x^2 = -5
x = ±√-5
However, you can't square root a negative number as it is a complex number / imaginary number hence you would want to conclude it as "no solution"
5. Jordan works at the car wash a few hours a week and works mowing lawns for extra money.
Because of his schoolwork, he can't work more than 10 hours per week. Write a rule to see possible
solutions for his work schedule. Let x represent hours at the car wash, and y represent the hours
mowing lawns.
Answer:
The rule is
x + y ≤ 10
Step-by-step explanation:
Here, we want to write a rule that can help get solutions for the individual work hours
The number of hours for car wash is x while the number of hours for mowing lawns is y
Since he cannot work more than 10 hours, he can still work less than 10 hours
What we just have is that the addition of both working hours must not be over 10
So the rule to write is;
x + y ≤ 10
i need some help please
Answer: 2.4 x 10^8
Step-by-step explanation:
Answer: 2.4x10^8
Step-by-step explanation:start from the end and move the decimal point all the time way up to the middle of 2 and 4 and u move 8 times to get there which is how we got the exponent 8