What is the equation of a line that is parallel to the line y = 2x + 7 and passes through the point (–2, 4)? A. y = −12x + 3 B. y = 2x + 4 C. y = −12x − 2 D. y = 2x + 8
Answer:
D
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 = 2x + 7 ← is in slope- intercept form
with slope m = 2
Parallel lines have equal slopes, thus
y = 2x + c ← is the partial equation
To find c substitute (- 2, 4) into the partial equation
4 = - 4 + c ⇒ c = 4 + 4 = 8
y = 2x + 8 → D
Rectangle ABCDABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-2, 2)A(−2,2)A, left parenthesis, minus, 2, comma, 2, right parenthesis, B(6, 2)B(6,2)B, left parenthesis, 6, comma, 2, right parenthesis, C(6, 3)C(6,3)C, left parenthesis, 6, comma, 3, right parenthesis, and D(-2, 3)D(−2,3)D, left parenthesis, minus, 2, comma, 3, right parenthesis.
What is the area of rectangle ABCDABCDA, B, C, D?
The area of rectangle ABCD with the given vertices is: 8 units².
What is the Area of a Rectangle?Area of rectangle = (length)(width).
Given the following vertices:
A(-2, 2)B(6, 2)C(6, 3)D(-2, 3)Area = (length)(width) = (AB)(BC)
AB = |-2 - 6| = 8 units
BC = |2 - 3} = 1 unit
Area of rectangle = (8)(1) = 8 units².
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Answer: 8
Step-by-step explanation:
1. What is 10% of 75?
Answer:
7.5
Step-by-step explanation:
i hope this helps!!
The Huggins family went out to dinner. The price of the meal was $62.95. The sales tax is 8% of the
price of the meal. The tip is 15% of the meal and the sales tax. How much money did the family
pay for the meal, including tax and tip?
Answer:
$62.95 (meal) + $5.03 (sales tax) +$.75 (sales tax tip) + $9.44 (meal tip)
Total: $78.17
Answer:
$78.19
Step-by-step explanation:
To find the total after the sales tax is charged you have to do
$62.95 x 1.08 (1 = to the total and .08 to add sales tax value) =$67.986 round*
Now you take $67.99 (has been rounded) and multiply but .15 to find out what is 15% of $67.99 , it comes out to be 10.1979 (Round)
Now to finish you add $67.99 +$10.20 = $78.19
the sum of the 2 integers is -112. if one of them is -109 find the other
Answer:
let x and be the two integers
x+y=-112
if one of them is -109
let x be one of the that is substitute-109 to the above equation
-109+y=-112
collect like terms to the left hand side.
-109+112=-y
3=-y
move the sigh to the constant
y=-3
If SV is a perpendicular bisector of RT, which statement is true?
Answer:
The correct answer is A
Step-by-step explanation:
help!!!! due now ( right answer's only)
Answer:
Minimum, Vertex(1,-7) and sorry what do you mean by aos? i dont get that please type in the comments I'll answer that too. Hope you understand the rest
Step-by-step explanation:
The vertex of a parabola means the stationary point/turning point which is denoted by the following:
[tex]x=\frac{-b}{2a} \\[/tex]
and for y we just simply put the value of x that we get into the equation so lets get started
The equation [tex]y=x^2-2x-6[/tex] is a quadratic equation
and if we compare it by the standard form [tex]y=ax^2+bx+c[/tex] we get the following values
a=1 , b=-2 , c=-6
and now for the vertex
[tex]x=\frac{-b}{2a}[/tex]
[tex]x=\frac{-(-2)}{2(1)} \\x=\frac{2}{2} \\x=1[/tex]
and now for y
[tex]y=x^2-2x-6\\y=(1)^2-2(1)-6\\y=1-2-6\\y=-7[/tex]
so the vertex is (1,-7)
and the graph is minimum not maximum because the value of a is greater than 0 if the value of a>0 then the graph is minimum and if the value of a<0 meaning a is negative the graph is maximum and here in the equation a=1 which means a>0 then our graph is minimum.
Answer:
hey we were talking in the comment section with someone else 16 min ago and that chat maxed out so he made another one and wants you to come back. Just letting you know.
Step-by-step explanation:
hii i need help with a geometry problem. the picture is attached. i'll mark you brainliest!!
Answer:
i would wanna say the first one
Step-by-step explanation:
∆GAS ≅ ∆IOL by rule ASA , SAA
We say that ∆GAS ≅ ∆IOL because m∠G = m∠I , m∠A = m∠L and AS = LO ( which means that these triangles are congruent under the ASA or SAA congruence postulate . )
Therefore ,
∆GAS ≅ ∆ILO by rule ASA , SAAIf you could travel back in time one year, what advice would you give yourself?
10 sentence required for the brainlleist if 2 people answer
1
Answer:
To keep my head up and focus on the good instead of the bad. To understand that life gets hard. I would remind myself that I'm worth it and I am a strong person. I would tell myself that whatever bad happens, something good will come out of it. To remind myself that all the bad I've been through is only making me a stronger person. And I would remind myself that everything happens for a reason, whether I see it now or I see it later on down the road. I would remind myself that it's never too late to change for the better. I would tell my self "you made it this far, your strong". And I would tell myself that I can do whatever I put my mind to. And that nothing is impossible.
Hope this helps :)
Step-by-step explanation:
If someone could travel back in time one year, the advice I would give myself would be to embrace change and adaptability. The world is constantly evolving, and it is important to stay open-minded and flexible in order to thrive.
I would encourage myself to be proactive in seeking opportunities for growth and learning, even if they seem daunting or unfamiliar at first. Additionally, I would remind myself to prioritize self-care and mental well-being. It is easy to get caught up in the hustle and bustle of daily life, but taking time for oneself is crucial.
Whether it be spending time in nature, practicing mindfulness, or pursuing hobbies and interests, nurturing my own happiness should be a priority. Lastly, I would advise myself not to dwell on past mistakes or missed opportunities.
Every setback is an opportunity for growth, and it is important to learn from these experiences rather than letting them define me. By adopting a positive mindset and focusing on the present moment, I can ensure that I make the most of every opportunity that comes my way.
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A baseball player starts the season with 77 career home runs. Ten games into the
season, he has hit 2 home runs. Assume he continues at this pace. Write an
equation for the number of career home runs he has hit. How many career home
runs would you expect him to have at the end of the season (162 games)?
If there are a total of 162 games, and every then games the player hits 2 home runs, we can divide the total amount of games by 10 then multiply the quotient by 2.
162 / 10 is approximately 16.
16 × 2 = 32
32 + 77 = 109 career home runs
Using the slope intercept relation, the required equation and the number of home runs at season end would be ;
y = 0.2x + 77109Recall :
y = bx + cc = initial number of hime runs = 77b = slope y = total career home runs x = number of games playedSlope, b = 2 home runs per 10 games = 2/10 = 0.2
The expression can be represented thus:
y = 0.2x + 77Number of home runs at the end of the season :
x = 162
y = 0.2(162) + 77
y = 32.4 + 77
y = 109.4
y = 109
Hence, Total number of hime runs would be 109.
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50 POINTS!!!!!!!!
Abbie, Chloe, and Xander are playing a dice game. The game consists of ten rounds. In each round, each person takes a turn rolling two dice and earns or loses points based on what they role. Points are awarded according to the following table: Roll Points Same number on both dice +3 Different numbers, with an even sum +1 An odd sum -2 At the end of ten rounds, the person with the highest number of points wins. In the first three rounds, Xander had the following rolls. Write an addition expression that can be used to find his point total at the end of the three rounds
Same number on both dice ( in first throw) + Different numbers ,with an even sum (in second throw) + An odd sum(third throw) + An odd sum(fourth throw) + Different numbers ,with an even sum (in fifth throw)
How to solve rolled dice problems?From the given ,question Abbie, Chloe, and Xander are playing a dice game.
They are playing with two dices.
The game rules are;
Same number on both dice = +3
Different numbers, with an even sum = +1
An odd sum = -2
After five rounds, score of Chloe = +1
1 = 3 + 1 + (-2) + (-2) + 1
⇒ Same number on both dice ( in first throw) + Different numbers ,with an even sum (in second throw) + An odd sum(third throw) + An odd sum(fourth throw) + Different numbers ,with an even sum (in fifth throw)
If we alter the arrangements, In each case you will get sum as (+1), as integers satisfy both Commutativity and Associativity with respect to addition.
Complete question is;
Abbie, Chloe, and Xander are playing a dice game. The game consists of ten rounds. In each round, each person takes a turn rolling two dice and earns or loses points based on what they role. Points are awarded according to the following table:
Same number on both dice +3
Different numbers, with an even sum +1
An odd sum -2
In the first five rounds, Chloe had a combined score of 1 point. Determine what five types of rolls she had in these first rounds. Express your answer in complete sentences.
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Answer:
-2
-2
-2
-2
-2
The least number of rounds will be four. She will need to throw four, (different numbers, with an even sum).
Step-by-step explanation:
A. Corresponding angles
B.Same side interior angles
C. Alternate exterior angles
D. alternate interior angles
Answer:
Alternate exterior angles
Multiplying 2×1 3/7 is equal to how much
Answer:
20/7 or 2 and 6/7
Step-by-step explanation:
This equation works out to 2/1 • 10/7, which we can easily see equals 20/7, or 2 and 6/7, by multiplying the numerators and denominators.
Zevel overheard Bradley say he got a 66% on the last test. If Zevel only got one-third what
Bradley got, what is Zevel's score?
Answer:
22
Step-by-step explanation:
66 ÷3=22
3= one third
Lerna's Hydra is a mythological character that appears in some stories such as the 12 Tasks of Hercules. The Hydra was a one-headed monster but when it is cut off, 2 more heads grow in its place. If a hero tried to conquer it by cutting off all of its heads every day, how many heads would the Hydra have on the third day? And at the end of 10 days of trying to kill it? *
Answer:
Step-by-step explanation:
Initially the monster is one-headed, when it is cut off, 2 more heads grow in its place, when the two heads are cut off, 4 will grow in its place. This will go on an on and the amount of heads that grows each day will form a geometric sequance as shown;
1, 2, 4...
The nth term of an arithmetic sequence is expresses as;
[tex]T_n = ar^{n-1}[/tex] where;
a is the first term
r is the common ratio
n is the number of terms
To get the number of heads that the Hydra have on the third day, we will have to find the fourth term of the sequence since the first cutting was done the next day (second day).
from the sequence above;
a = 1
r = 2/1 = 4/2 = 2
T4 = 1(2)^{4-1}
T4 = 2^3
T4 = 8
Hence the hydra will have 8 heads on the third day.
To know the number of heads at the end of 10 days, we will find the 11th term of the progression
T11 = 1(2)^{11-1}
T4 = 2^10
T4 = 1024
He will have 1024 heads after 10 days of trying to kill the monster.
The number of heads that would the Hydra have on the third day is 8
And, at the end of 10 days of trying to kill it is 1024.
The calculation is as follows:a = 1
r = 2 by 1 = 2
T4
= 8
So the hydra will have 8 heads on the third day.
Now
To know the number of heads at the end of 10 days, we will determine the 11th term of the progression
= 1024
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PLS ANSWE PLS NEED HELP ASAP
Answer:
D. 75
Step-by-step explanation:
Bc they are congruent that means that DAY has angles 60 and 45 so you add them together to get 105 and bc triangles are 180 deg, the last angle is 75 (180-105 = 75)
Suppose a person starts the day by drinking 3 cups of coffee containing 130 mg of caffeine EACH.
Let C = mg of caffeine remaining in the body and let t = hours since the 390 mg of caffeine was consumed. Write a function C(t) that expresses the amount of caffeine remaining in the body as a function of time.
Answer:
C = t * 3
Step-by-step explanation:
A really fast armadillo can cross a road that is 20.00 meters wide in 10.00 seconds. What is the speed of the armadillo?
A. 2.0 m/s
B. 10 seconds
c. 10 meters
D. 200 m/s
Answer:
A
Step-by-step explanation:
Speed= Distance/time
20m/10s=2 m/s
- Find the sum of (2+4i) and (3-6i)
(2+4i )+(3-6i)
= 2 + 4i+3 -6i
= 5 - 2iAnswer:
5-2i
Step-by-step explanation:
(2+4i)+(3-6i)
2+4i+3-6i
5-2i
Please correct me if I am wrong
Find the product
(7+2u) (7-2u)
Options:
a) 49+4u
b) 49-4u(square root sign)
c) 4u(square root sign) - 49
Answer:
b
Step-by-step explanation:
if you mean squared and not square root, then it would be b because if you factor it back out, you will get the original expression back because of the subtraction of perfect squares.
Answer:
b) [tex]\boxed{\bold{(7+2u)(7-2u)=49-4u^2}}[/tex]Step-by-step explanation:
[tex](7+2u) (7-2u)=(7)(7)+(7)(-2u)+(2u)(7)+(2u)(-2u)=\\\\=49-14u+14u-4u^2=\ \underline{49-4u^2}[/tex]
Find two consecutive integers whose sum is eleven less than three times the smaller integer.
Answer:
If you call the smaller integer "x" and the greater integer "y", then:
x+y=3x-11 The sum of the two is 11 less than 3 times the smaller
y=x+1 Because they are consecutive, the greater must be 1 more than the smaller
Then you can solve for x:
x+(x+1)=3x-11 Substitute x+1 for y
2x+1=3x-11 Combine like terms
2x+12=3x Add 11 to both sides
12=x Subtract 2x from both sides
The smaller integer is 12, thus the greater integer is 1 more or 13.
Check:
12+13=3(12)-11
25=36-11
25=25 Yes, so the integers are 12 and 13
Step-by-step explanation:
thats pretty much it
Pleasssssse help meeeeee
Answer: [tex]x \geq 3[/tex]
The graph has a closed circle pointing to the right
3.186e + 15
Convert this into a number will give Brainliest please answer as soon as possible!
Answer:
3,186,000,000,000,000
Explanation:
3.186e + 15 → 3.186E+15 [What I am implying] = 3.186 × 10^15 = 3.186 × 1,000,000,000,000,000 = 3,186,000,000,000,000
____________________
People may also get the constant e mixed up if you are referring to scientific notation. I know it is the way alot of people write it, but sometimes the calculator can mix it up.
Because 3.186e + 15 may come out as 23.66044590547
ILL MARK BRAINLIST IF YOU GET IT RIGHT .which expression is equivalent to s - t?
Answer:
s(6)×t(6)
hope this helps
THANKS FOR EVERYBODY HELPING ME I WILL GIVE FREE ROBUX
Answer:
6 times
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
add me on discord fun54658#0871
What is the solution?
-6x - 1 =23
Answer:
X=-4
Step-by-step explanation:
the first thing you do is add 1 to both sides to make the variable be alone
-6x=24
now divide 6 on both sides the variable cancels out and your left with 24/-6
so your answer is -4
Kylie is studying the change in the water level of Sweetgum Pond as part of a summer science experiment. In the first week of June, the change in the water level was – 4 centimeters. The next week it stormed almost every day, so the water level rose 7 centimeters.
Answer:
3 centimeters
Step-by-step explanation:
The computation of the change in the water level over the first two weeks of June is shown below:
= Rise in the water level - changed in the water level
= 7 centimeters - 4 centimeters
= 3 centimeters
hence, the change in the water level is 3 centimeter and the same is to be considered
We simply applied the above formula so that the correct value could come
Answer:
3
Step-by-step explanation:
Find the value for x that makes the given equation true. - -4(3x – 7) + 5x = -2x + 8
Answer:
Okay this might be slightly confusing but I'll try to make it simple. x = -10
Step-by-step explanation:
-4 ( 3x - 7 ) + 5x = -2x + 8 1. get rid of parenthesis first. -4 times 3x = -12x and -4 times -7 is 28
-12x + 28 + 5x = -2x + 8 2. Combine any like terms on each side of the equation. -7x + 28 = -2x + 8 3. Get rid of the smallest x value by adding to both sides -7x
+7x +7x
28 = -2x + 8 4. subtract 8 from both sides to get rid of it. (you wanna get x alone)
-8 -8
20 = -2x 5. Divide both sides by -2 to get 1x (which is x)
/-2 /-2
x = -10
) Write an integer that represents the following scenario: Jenna deposited (put in) forty dollars into her savings account..
Answer:
hi blair. we go to school together.
Step-by-step explanation:
1. Factor the expression completely 20x^4+80x^3-5x^2-20x
Answer:
5x(x+4)(2x+1)(2x−1)
Step-by-step explanation: