Answer:
3x + y = 20 and x - 2y = - 4
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 )
(a)
Given
3x + y = 17 ( subtract 3x from both sides )
y = - 3x + 17 ← in slope- intercept form
with slope m = - 3
Para;;el lines have equal slopes , then
y = - 3x + c ← is the partial equation
To find c substitute (4, 8) into the partial equation
8 = - 12 + c ⇒ c = 8 + 12 = 20
y = - 3x + 20 ← in slope- intercept form
Add 3x to both sides
3x + y = 20 ← in standard form
--------------------------------------------------------
(b)
Given
y + 2x = 13 ( subtract 2x from both sides )
y = - 2x + 13 ← in slope- intercept form
with slope m = - 2
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}{-2}[/tex] = [tex]\frac{1}{2}[/tex] , then
y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
To find c substitute (2, 3) into the partial equation
3 = 1 + c ⇒ c = 3 - 1 = 2
y = [tex]\frac{1}{2}[/tex] x + 2 ← in slope- intercept form
Multiply through by 2 to clear the fraction
2y = x + 4
x - 2y = - 4 ← in standard form
Jenny wants to buy a pair of pants that cost $35. The pants are on sale for
25% off.
What is the total cost of the discounted pants?
Answer:
35 / 4 = 8.75
35 - 8.75 = 26.25
I hope you a great life. Till we meet again, Farewell!
Simplify the following in simplest radical form of sqrt{40}
Solve the following equations and check your answer.
6x+2=9x+14
Are the events "selecting a female" and "selecting a students who has brown eyes" independent?
Answer:
No, the events are not independent.
Step-by-step explanation:
Suppose that there are two events, A and B.
Such that first happens the event A and then the event B.
If the outcome of event A affects the probabilities for the different outcomes of event B, then the events are dependent.
In this case, if we have only the event "selecting a student who has brown eyes" (at random)
The probability is equal to the quotient between the total number of students with brown eyes, and the total number of students, then this probability is:
P = 91/200 = 0.455...
Now, if we first impose the "selecting a female", now when we want to select a student with brown eyes we will look only at the female students.
In this case, there are 32 with brown eyes and a total of 90 female students, then the probability of selecting a female with brown eyes at random is:
P = 32/90 = 0.355...
So the probability is different, which means that the events "selecting a female" and "selecting a student who has brown eyes" are not independent.
A countertop is 11 feet long and 4 fee t wide.
What is the area of the countertop in square meters? Use the conversion 1 foot = 0.305 meter. Round your
final answer to 2 decimal place
Answer:
4.09m^2
Step-by-step explanation:
A countertop is 11 feet long and 4 fee t wide.
Using the conversion
1foot = 0.305 meter
11fet = 11(0.305)
11feet = 3.355 m
4 feet= 4 * 0.305
4feet = 1.22m
Area of the countertop = Length * Width
Area of the countertop = 3.355 * 1.22
Area of the countertop = 4.0931m^2
Hence the required area is 4.09m^2 to 2 decimal places
64/374/5 * 20634 + 23694 - 1634 * 51
I hate this question a lot
Answer:
-58933.81
Step-by-step explanation:
Where do the parentheses go? So messy
Answer:
i am not sure how to solve that sorry
Step-by-step explanation:
.
Select the statement that describes this expression: 10 + fraction 1 over 4x (5 + 3) − 3.
10 more than fraction 1 over 4 of the sum of 5 and 3, then subtract 3
fraction 1 over 4 of 10 times the sum of 5 and 3, minus 3
3 more than 3 plus 5 multiplied by fraction 1 over 4, then add 10
10 times fraction 1 over 4 plus 3 and 5, minus 3
Answer:
10 more than fraction 1 over 4 of the sum of 5 and 3, then subtract 3
Step-by-step explanation:
Can't be the other ones
Answer:
10 more than fraction 1 over 4 of the sum of 5 and 3, then subtract 3
Step-by-step explanation:
I tried its correct.
The point (-5, 10) undergoes a translation of 10 units right and 5 units down.
What are the coordinates of the new point?
Answer:
Translation 10 units right: (-5, 10) --> (5, 10)
Translation 5 units down: (5, 10) --> (5, 5)
(5, 5) is the final answer
Let me know if this helps!
PLS HELPPPPPPPPPP PLSSSSSS ASAP
Answer:
3 i think
uhh I don't know, I forgot about this
y=5x+2
4x−y=0
Is (2,12) a solution of the system?
Answer:
no the solution would be (-2, -8)
Step-by-step explanation:
i graphed both of the equations and found the solution <33
Answer:
(-2,-8) is correct
Step-by-step explanation:
4x = y
5x +2 = y
4x = 5x +2
-2 = x
y = 5×-2 + 2
=-8
( x , y )
4x+5-x=10+3x+4
solution
Answer:
9
Step-by-step explanation:
4x-x=3x
3x±5=10±3x±4
10±4=14
14±3x
3x±5=14±3x
3x-3x=14-5
3x-3x=0
14-5=9
What type of slop..
Undefined
Positive slope
Zero slope
Negative slope
Answer:
zero slope
Step-by-step explanation:
Answer:
it's a zero slope
Step-by-step explanation:
Solve for 2.
- 6x + 2x = -4
6
4
1
-6
- 1/5 + 3/5 I know it looks easy but show the work!
Which graph shows a proportional relationship between x and y?
Answer:
B
Step-by-step explanation:
The one that goes through the middle
Hope this helps
Jet bought a computer that was 20% off. If the original price of the computer was $785, how much did Jet save? How much did Jet pay?
785·20%=157
785-157=628
Answer:
You will pay $628 for a item with original price of $785 when discounted 20%. In this example, if you buy an item at $785 with 20% discount, you will pay 785 - 157 = 628 dollars.
anyone have the answer to this?
Answer:
5+4÷8-7x1
Just do out the equations :)
X - Зу = -2
X - Зу = 16
Find the slope of the line through the points (2, 16) & (18, 1)
Answer:
-15/16
Step-by-step explanation:
Jessica is selling girl scout cookies and recorded how many she sold in one afternoon. She sold Thin Mints, Trefoils, and Samoas.
2a. She sold 54 boxes of Thin Mints, which was 60% of the total number she sold. How many total boxes did she sell? (3 points – 2 pts for correct answer, 1 pt for showing work)
2b. If 60% of the cookies sold were Thin Mints and 10% of the cookies sold were Samoas, how many boxes of Trefoils did she sell? (3 points – 2 pts for correct answer, 1 pt for showing work)
Answer:
a) 90 boxes
b) 27 boxes
Step-by-step explanation:
Please see the attached picture for the full solution.
Answer:
a-90
b-27
Step-by-step explanation:
If you are offered an investment that pays 3.5% simple interest, and you plan to invest for 4 years, about how much do you have
invest to end up earning at least $500?
AY
$1755
B)
$2496
$3572
D)
$4328
Answer:
$3572
Step-by-step explanation:
Answer:
C.) 3572
Step-by-step explanation:
I Just took the test
PLEASE HELP URGENT WILL MARK AS BRAINLIEST PLUS POINTS!!
Answer:
22 (4th option)
Step-by-step explanation:
The side lengths are useless.
Pay attention to the angles.
<QRP=68 degrees.
Vertical angles make it so <SRT=68
180-90(right angle)-68=22 degrees
x^2 + 6x + 5 = 0
Find A, B, and C
Answer:
A=1
B=6
C=5
Step-by-step explanation:
0=ax²+bx+c
0= 1x²+6x+5
There is no number in front of x², so you know the coefficient is 1.
The coefficient in front of the x is 6.
The remaining number is 5.
Answer right and get branly this took me 3 times to doo
1. 50 degree angle I believe
2. 150 degree angle
3. 45 degree angle
Sorry if this doesn't help but, with no context about the answers they have given you I can't fully help. Try using a protractor like this down below.
Have a good day!
please help with Fractions
Answer:
1/9 and 1/10 are smaller than 1/8 but the smallest is 1/10
how much sugar should farid use for 1/2 of a batch of muffins
Answer:
3/8
Step-by-step explanation:
.
Answer: the answers would be 3/8
Step-by-step explanation:
Got it right
Robin has a collection of dimes, nickels and quarters. He has 4 times as many dimes as nickels. He has 20 more quarters than nickels. The
ratio of the number of dimes to the number of quarters is 3:2. Which equation can be used to calculate the number of nickels, n, Robin
has?
OA
Exh
8:33
acer
Answer: Robin has 50 nickels, 60 dimes, and 120 quarters.
Step-by-step explanation:
Anyone help ASAP!!!!
Among the following, which one is not in similarity theorem.
A. SSS similarity theorem
B. SS similarity theorem
C. SAS similarity theorem
D. AA similarity theorem
Answer:
If two triangles are similar it means that all corresponding angle pairs are congruent and all corresponding sides are proportional. However, in order to be sure that two triangles are similar, you do not necessarily need to have information about all sides and all angles.
HELPPPP ASAPPPP BECAUSE IM STUCK ON THIS QUESTIONNNNNN
Answer:
A 3^7
Step-by-step explanation:
I already helped you with this :P
Can i have brainliest again?!