Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{2}{3}[/tex] x - 6 ← is in slope- intercept form
with slope m = [tex]\frac{2}{3}[/tex]
Parallel lines have equal slopes , then
y = [tex]\frac{2}{3}[/tex] x + c ← is the partial equation
To find c substitute (9, 2) into the partial equation
2 = 6 + c ⇒ c = 2 - 6 = - 4
y = [tex]\frac{2}{3}[/tex] x - 4 ← equation of parallel line
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Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{2}{3} }[/tex] = - [tex]\frac{3}{2}[/tex] , then
y = - [tex]\frac{3}{2}[/tex] x + c ← is the partial equation
To find c substitute (9, 2) into the partial equation
2 = - [tex]\frac{27}{2}[/tex] + c ⇒ c = 2 + [tex]\frac{27}{2}[/tex] = [tex]\frac{31}{2}[/tex]
y = - [tex]\frac{3}{2}[/tex] x + [tex]\frac{31}{2}[/tex] ← equation of perpendicular line
I need help ASAP please
Answer:
x = 6
Step-by-step explanation:
The area of a triangle is equal to the base times the height divided by two. In this case, the base is 6 (or x, it doesn't really matter) and the height is x (or 6, it doesn't matter). That means that the area of this triangle is equal to 6 * x divided by 2, which is also equal to 18. we can say that 6x/2 = 18, meaning that 6x = 36, so x = 6.
find the common factors of the given terms 1. 12x, 36. 2. 2y, 22x. 3. 14pq, 28p^2 q^2
Answer:
answer 1. 12. 2nd is 2. and 3rd is 14pq
hope it helps
Given that ƒ(x) = x2 + 1 and g(x) = –3, multiply the functions (g · ƒ)(x).
Answer:
(2+1×-3)(x) = 3×(-3)(x) =-9x
Answer:
(g · ƒ)(x) = –3x2 – 3
Step-by-step explanation:I took the test
If you answer correctly the first one will get brainliest so plz answer correctly Which process in photosynthesis uses energy from the sun?(1 point) A splitting water into hydrogen and oxygen B combining carbon dioxide and hydrogen C absorbing carbon dioxide D releasing oxygen
Answer: A. splitting water into hydrogen and oxygen
Step-by-step explanation:
Photosynthesis is the process by which plants produce glucose by reacting carbon dioxide and water in the presence of sunlight. Chlorophyll which gives the plant its green color, traps sunlight and uses it to split water molecules into their constituent molecules of hydrogen and oxygen.
Glucose is then synthesized from these molecules and used in respiration to release energy for the plant.
A, splitting water into hydrogen
Daniel debe $12.300 a Miguel y paga con un billete de $50.000 ¿cuanto dinero le devuelven ?
Answer:
37,700
Step-by-step explanation:
I believe that you do 50,000 - 12,300. That would get you to your final answer of 37,700. So Miguel has to give 37,700 back to Daniel.
Hope this helped you!
Answer:
Miguel devuelve a Daniel $ 37.70
Step-by-step explanation:
50 - 12.3 = 37.7
how much grams are in a milligram
there are 1000 milligrams in 1 gram
Hope this helps
Whats 4x+2=2(x+6) ?
Just want to see your answers
Answer:
x = 5
Step-by-step explanation:
4x + 2 = 2(x + 6)
4x + 2 = 2x + 12 (after you distribute the 2)
add and subtract like terms
4x - 2x = 12 - 2
2x = 10
x = 5
you can double check by substituting the x with 5 in the equation
4 (5) + 2 = 2(5 + 6)
20 + 2 = 2(11)
22 = 22
please help me on this will give you brainliest
Answer:
7.76 × 10^8
Step-by-step explanation:
Answer:
i think i would be 1.94x10^8
Step-by-step explanation:
1/8 = 2/5 times X . What is X
Answer: 5/16
Step-by-step explanation:
Answer:
0.0125
Step-by-step explanation:
1/8=2/5x
Divide by 2/5 on each side of the equation. X=0.0125. 0.0125=1/80. The last option.
Don notices that the side opposite the right angle in a right triangle is always the longest of the three sides. Is this also true of the side opposite the obtuse angle in an obtuse triangle?
Answer:
Yes
Step-by-step explanation:
The line has to be loner to connect the other two.
A wooden box has the shape of a rectangular prism. The inside of the box is also a rectangular prism. What is the volume of the solid part of the box? Enter your answer below.
Answer:
1242
Step-by-step explanation:
Show that the line 3y = 7 + 5x is perpendicular to the line 5y = 4 - 3x.
Answer:
Proven Below
Step-by-step explanation:
If we rearrange these equations, we get that 3y = 5x + 7 and that 5y = -3x + 4. Next, to find what y equals on both equations, we divide by 3 on both sides of the first equation, where we would get that y = 5/3x + 7/3, and then divide by 5 on both sides of the second equation, where we would get that y = -3/5x + 4/5. Now, to see if two lines are perpendicular to each other, we have to see if the slopes (The number being multiplied by x. Ex.) In the equation y = 3/4x + 4, the slope is 3/4) are opposite reciprocals (If you multiply them and they are equal to -1. Ex.) 3/4 * -4/3 is equal to -1, so they are opposite reciprocals). In this case, we have -3/5 and 5/3 as slopes, and -3/5 * 5/3 is equal to -1, so they are perpendicular.
Answer:
The slope of the first line is 5/3
The slope for the second one is -3/5
If you multiply the 2 slope you have to end up with - 1
So 5/3*(-3/5)=-15/15 which is - 1
So yes the lines are perpenducular
what is the sum of 8bb-4bb
Answer:
4bb
Step-by-step explanation:
Answer:
4bb
Step-by-step explanation:
Because you need to combine like terms
Hope this helped!! :)
Stay safe and have a wonderful day/night!!!!!
Brainliest?!?!
(This is too easy)
can someone help me on this and plz explain
Problem situation:
Janelle is at the movie theater and has $20
to spend.
She spends $8 on a ticket and wants to buy some snacks. Each snack costs $4.99.
How many snacks, x, can Janelle buy?
Inequality that represents this situation:
20 > 8 + 4.99x
Drag each number to show if it is a solution to both the inequality and the problem
situation, to the inequality only, or if it is not a solution.
Answer:
Rewrite so x is on the left side of the inequality.
8 + 4.99x < 20
Move all terms not containing x to the right side of the inequality.
4.99x < 12
Divide each term by 4.99 and simplify.
x < 2.405
The result can be shown in multiple forms.
Inequality Form:
x < 2.405
Interval Notation:
( −∞ , 2.405 )
Step-by-step explanation:
Answer:
Both:
1
2
Inequality Only:
-4
3/4
2.3
Neither:
2.5
Pls help FAST I’m giving brainliest
Helllllllp
Simplify the expression 43 + 2(3 − 2).
14
16
66
68
Answer:
68
Step-by-step explanation:
Answer:
The answer is 46...i cant find that answer in the choices though
Step-by-step explanation:
In PEMDAS we can see that we have parentheses first so we solve whatever is in the parentheses. which 3-2 = 1....so it should look like this
43 + 2 + 1
Which equals 46
hope this helps. have a good day
During each of the past three months, Tyler grew
by the following amounts: 1/8in., 3/16in., and 1/4in.
What is Tyler's total amount of growth over these
three months?
Answer with supporting work:
Will give brainliest please answer please
Answer:
E,F,B
Step-by-step explanation:
Answer:
A,C,E
Step-by-step explanation:
12/21= .571428571
4/7, 16/28 and 8/14 all result in this decimal
Jack invested $7,600 in an account paying an interest rate of 6\tfrac{1}{4}6 4 1 % compounded continuously. John invested $7,600 in an account paying an interest rate of 6\tfrac{3}{4}6 4 3 % compounded quarterly. After 19 years, how much more money would John have in his account than Jack, to the nearest dollar?
Answer: John would have $1371.33 more in his account than Jack.
Step-by-step explanation:
Formula to calculate amount after t years if compounded continuously:
[tex]A=Pe^{rt}[/tex]
Formula to calculate amount after t years if compounded quarterly:
[tex]A=P(1+\dfrac{r}{4})^{4t}[/tex]
, where P= Principal amount, r= rate of interest.
Given: P= $7,600
t=19 years
For Jack, [tex]r=6\dfrac{1}{4}\%=\dfrac{25}{4}\%=\dfrac{25}{400}=0.0625[/tex]
For John, [tex]r=6\dfrac{3}{4}\%=\dfrac{27}{4}\%=\dfrac{27}{400}=0.0675[/tex]
Amount in Jack's account after 19 years= [tex]7600e^{0.0625(19)}[/tex]
[tex]=7600e^{1.1875}\\\\=7600(3.27887376794)\\\\\approx\$24,919.44[/tex]
Amount in John's account after 19 years= [tex]7600e^{0.0675(19)}[/tex]
[tex]=7600(1+0.0675)^{19}\\\\=7600(3.45931245291)\\\\\approx\$26,290.77[/tex]
Difference = 26290.77-24919.44 = $ 1,371.33
John would have $1371.33 more in his account than Jack.
Answer:668
Step-by-step explanation: I just did it.
I would need you to tell me the answers to each question (3 questions)
Step-by-step explanation:
For no. 4
x = 180° - 98° - 50°
x = 32°
For no. 5
x = 180°- 67°-56°
x = 57°
For no. 6
x = 180° - 22° - 47°
x = 111°
Hope it will help :)❤
(5-8) (1,4) m = -3
find the slope
Answer:
slope is -3
Step-by-step explanation:
m is the slope, this may have been a trick question.
by the points given the slope is 1
Amy buys 8 sandwiches and 12 waters.her total cost is 8s+12 how much did she pay. S=sandwiches
Answer:
8s + 12
s=12-8
s=4
or
8s +12
s=12+8
s=20
Step-by-step explanation:
im not sure kung minus o plus kasi kung kinus mababa lang binayad nya
Find the missing side of the triangle.
Answer:
The second option
Step-by-step explanation:
c=[tex]\sqrt{16^{2} +12^{2} }[/tex]
c=20 m
Find the area. Simplify your answer.
Answer:
x = 26
Step-by-step explanation:
it is a right angle so
(x+4)3=90
3x+12=90
-12 -12
3x = 90-12
3x = 78
/3 /3
x = 26
Explain how I would use Distributive Property (GCF) to factor the following expression: 4m + 16
Answer:
4(m+4)
Step-by-step explanation:
4m+16
Rewriting
4*m + 4*4
Factor out 4
4(m+4)
please help asap!!!!
Answer:
x ≤ 7.5
Step-by-step explanation:
First, get x alone by multiplying both sides by 3 (to get rid of the fraction)
3 (1/3x) ≥ 3(2.5)
x ≤ 7.5
(The sign will flip whenever you multiply or divide in an inequality)
Since the sign is 'less than or equal to' you need a closed dot on 7.5, and it will be a ray pointing left, because x will be a number smaller (aka less than) than 7.5
what is the square root of 4.84
Answer:
2.2. Hope it helps :D
There were 60 students enrolled in Grade 5 last year. If 66 students are enrolled in the same grade level this year, what is the percentage increase in the number of Students?
There is a 10% increase
There are 6 more students this year than there were last year.
If you find what 10% of 60 is and add that to 60, you'll find that it'll equal 66.
//
[tex]60 \times 0.10 = 6[/tex]
[tex]10\% \: of \: 60 \: is \: 6[/tex]
[tex]60 + 6 = 66[/tex]
(sat prep) find the value of x
Answer:
120 degrees
Step-by-step explanation:
RSM boi
but you actually have to get the values of the angles on the other side so
180-70=110
180-50=130
pretty simple from there
Answer:
120 deegress
Step-by-step explanation:
x + y = z
70 + 50 = x
x = 50+70 = 120