Determine the equation of the line passing through the point (4,5) with the slope equal to 2.
Answer:
y=2x-3
Step-by-step explanation:
slope (m)= 2
The Slope intercept of the line passing through (4,5) is
y=mx+b
5 = 2(4) + b
5 = 8 + b
b = -3
The equation of the line passing through pt. (4,5) is
y= mx+b
y=2x-3
Someone please HELP!!!
I’ll make it brainliest
Answer:
Step-by-step explanation:
Question 1) Take each point and move down two units. For example: Take point A, keeping it on the vertical line, and count two squares down, then place a new point there and call it A1. Do the same for each point in the parallelogram. Question 2) Take one point from parallelogram EFGH and move it two squares to the left. Then from that new point, count four squares down and place a new dot there. Do this for every point in the EFGH parallelogram. Question 3) This one is a bit trickier. Ok, so we know three points on the graph. L(-5, -5), M(-5, -2), and N(-2, -2). Ok so we know that if we plot these points, they will make three points in a square. All we need is the fourth point. To get that, we have to place all three points on the graph. Let's start with L. The coordinates are (-5, -5). Now, the first number is -5 which means to go 5 points to the left from the center point, then the next number is -5 again, so that means that from that point that we just made, you go 5 points down, and then that is your point L. Now, for point M, it is the same thing except for the second number, it tells us to go -2. So, instead of going 5 down like the first point, you must go 2 points down after you have to the left 5 points. REMEMBER: when plotting points, you always have o start in the center point(center of the graph). Negative numbers are always left and down. Positive numbers are always right and up. Do the same thing for point N (left 2, and then 2 down). After you have plotted all three of these points, you can see that there is one point missing. The point that we are missing is (-2, -5) (2 to the left, and 5 down).Question 4) Ok, so what you want to do is first plot your points. X(2, 1): start at center point and go 2 points to the right and one point up. Y(4,4): from center point, o 4 points to the right and the 4 points up. Z(5,2): from center point, go 5 points to the right then 2 points up. Now, connect your dots and it should make a triangle. Now for the tricky part. They want us to move our triangle 4 points down. So, start with letter Y and simply count 4 points down from its original point and place the new dot there. The new coordinates to this new Y point should be: (4, 0) (4 to the right of the center point and 0 up or down) So, this point should be on the line. The reason it is still 4 to the right is because all we did was move the point down and not left or right. DO this with the other two points and you should get: X(2, -3) (2 to the right and 3 down from center point) and Z(5, 2) (5 to the right and 2 down from center point)Question 5) THE FIRST NUMBER IS ALWAS THE NUMBER ON THE HORIZONTAL LINE.I. the point is is moved 4 to the right of the center point and 2 down. So it is (4, -2)
P. This point is moved negative 4 (to the left) and down 3 . So it is: (-4, -3)
G. This point is moved 5 to the right and then up 2 which makes it (5, 2)
Q. This point is moved 6 to the right and 4 down which makes it (6, -4)
R. This point is moved 2 to the left and 2 up which makes it (-2, 2)
S. (6, 4)
J. (-2, -4)
U. (-5, 0)
H. (3, -1)
K. (-6, -5)
HURRY UP I NEED HELP
What is the slope of the line that passes through the points (−3, 1) and (1, −5)? 1/2 −2/3 −3/2 I don't know.
Poems written for entertainment in ancient Sumer were called _______.
a.
Scribes
c.
Epics
b.
Cuneiform
d.
Haiku
Please select the best answer from the choices provided
A
B
C
D
HELP ITS LIKE HELL
Answer: C) Epics
Explanation: Epics were popular in ancient Sumer as they were poems used for entertainment which usually included long stories about a hero or an important event. A very popular epic from Sumerian literature was the Epic of Gilgamesh.
I hope this helps you :D
whats 22.33 in fraction form
Answer:
The answer is in the picture above
Find sine, where is the angle shown.
Give an exact value, not a decimal approximation.
Answer:
[tex] \sin( \theta) = \frac{opp}{hyp} \\ {c}^{2} = {a}^{2} + {b}^{2} \\ {c}^{2} = {8}^{2} + {15}^{2} \\ = 64 + 225 = 289 \\ c = \sqrt{289} \\ c = 17 \\ \sin( \theta) = \frac{15}{17} = 0.882 \\ \theta = { \sin}^{ - 1} (0.882) \\ \theta = 66.88 \degree\approx 67\degree[/tex]
You keep a record of all transactions in your checking account, including checks written, deposits made, fees paid, ATM withdrawals, and so on. This record is a
A) Bank statement
B) Reconciled statment
C) Check register
D) Debit card
Answer:
b
Step-by-step explanation:
Questions 9-10: Make the necessary calculations and give
your answer in the space below each question.
9. What is the area of the rectangle on the right?
3 cm
4 cm
Ignore the bottom question
Bill has $50 to spend on 2 birthday presents for his friends. If he spends $2.50 each for birthday cards, what is the range of money he can spend on each gift? Write and solve an inequality.
The inequality 2.50x + 2y ≤ 50 shows the situation that Bill has $50 to spend on 2 birthday presents for his friends.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
We have:
Bill has $50 to spend on 2 birthday presents for his friends. If he spends $2.50 each on birthday cards.
Let's suppose the number of birthday cards is x and the cost of each gift is y.
Then the total cost for birthday cards = 2.50x
Total budget = $50
Total expense = 2.50x + 2y
2.50x + 2y ≤ 50
The above inequality represents the situation.
In the graph, the range of the solutions is shown.
Thus, the inequality 2.50x + 2y ≤ 50 shows the situation that Bill has $50 to spend on 2 birthday presents for his friends.
Learn more about the inequality here:
brainly.com/question/19491153
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Pls help. Abcdefjnshshsjnwishejjsjwhaunrshwjhd
Jauahshwj
x = 72
Step-by-step explanation:
x + (2x - 36) = 180
3x - 36 = 180
3x = 180 + 36
3x = 216
x = 216/3
x = 72
1. Which equation is equivalent to the equation 6x + 9 = 12?
A. x + 9 = 6
B. 2x + 3 = 4
C. 3x + 9 = 6
ol
DL
D. 6x + 12 = 9
Answer:
D
Step-by-step explanation:
because I solved generalization and defined to solving for the unknowns
will summarize
d
18. Emily is encouraged to read more than 4 hours each
week. It takes her 45 minutes to finish her first book.
She divides the remainder of the time equally amongst
the other six days. What is the minimum number of
minutes she should read each day?
Answer:
I think the answer is 67.5. Hope this helps! :)
11 4/5 + 3 5/6 and you have to add
Answer:
15 19/30
Step-by-step explanation:
Mr. Korhonen use 1/8 of a cup of laundry detergent when he does a load wash how many cups will have need to do 4 loads
A mixed nuts factory makes a 10 pound mixture of almonds, walnuts, and
cashews. Almonds cost $1.25 per pound, walnuts cost $2.75 per pound,
and cashews cost $3.15 per pound. The mixture calls for twice as many
almonds as walnuts. The total cost of the mixture is $18.90. How much of
each ingredient did the store use?
This is a System of equations problem
Answer
x+y+z=10
1.25x+2.75x+3.15x+18.90
x=2z
Step-by-step explanation:
x=almonds
y=walnuts
z=cashews
9514 1404 393
Answer:
6 pounds almonds3 pounds walnuts1 pound cashewsStep-by-step explanation:
We can let a, w, c represent pounds of almonds, walnuts, and cashews, respectively. Then the given relations are ...
a +w +c = 10 . . . . . total pounds of nut mix
a = 2w . . . . . . . . . twice as many almonds as walnuts
1.25a +2.75w +3.15c = 18.90 . . . . total cost of the mix
__
Solving the system of equations can proceed by any of the methods you have learned for systems of two equations in two unknowns. Substitution, elimination, and matrix methods all work. Graphing methods are also available.
We can easily reduce this system to two equations in two unknowns by using the second equation to substitute for 'a'.
2w +w +c = 10 ⇒ 3w +c = 10
1.25(2w) +2.75w +3.15c = 18.90 ⇒ 5.25w +3.15c = 18.90
Solving the first of these equations for c, then substituting into the second of these equations gives ...
c = 10 -3w
5.25w +3.15(10 -3w) = 18.90
-4.20w +31.50 = 18.90 . . . . simplify
12.60 = 4.20w . . . . . . . . . . . add 4.20w -18.90
3 = w . . . . . . . . . . . . . . . . . . . divide by 4.20
c = 10 -3(3) = 1 . . . . . . . . . . . use the expression for c
a = 2(3) = 6 . . . . . . . . . . . . . use the expression for a
The nut mix used 6 pounds of almonds, 3 pounds of walnuts, and 1 pound of cashews.
_____
Additional comment
The attached graph shows one way to obtain a graphical solution. The first and third equations were solved for c, and those expressions were set equal to obtain the graph for the red line. The blue line is the second equation. Here, we have used (x, y) for (a, w). The solution for these variables is (a, w) = (6, 3). Using the first expression for c gives c = 10 -(6+3) = 1. This is the same solution as above.
The serving size for the granola that Ted likes to eat for breakfast is 3/4 cup. How many cups will he have eaten if he ate 3 servings? Show your work
Answer:
2 1/4
Step-by-step explanation:
3/4+3/4+3/4= 9/4 = 8/4 +1/4
=2 1/4
Ania scored a total of 120 points this season so far and averaged 15 points a game. How many games has she played?
Answer: Ania has played 8 games.
Step-by-step explanation:
Divide 120 by 15. 120 / 15 ?
15 fits into 120 exactly 8 times.
So , 120 - 120 = 0.
show your solution need an answer, please need an answer, please.
complete answer pls:(
Answer:
1. x = -1
2. y = -1, y = 2
3. y = -½ + i [tex]\frac{\sqrt{3} }{2}[/tex]; y = -½ - i [tex]\frac{\sqrt{3} }{2}[/tex]
4. x = -3; x = -6
Step-by-step explanation:
I will only produce work for questions 1 through 4, and you could follow the same steps for questions 5 and 6 so that you could learn and get used to solving quadratic equations. I am practically using the same techniques in solving questions 1 through 4 anyway.
1.) x² + 2x + 1 = 0
where a = 1, b = 2, c = 1
Determine the nature and number of solutions based on the discriminant, b² - 4ac:
b² - 4ac = 2² - 4(1)(1) = 4 - 4 = 0
This means that the equation has one real root.
Next, determine the factors of the quadratic equation.
Use the perfect square trinomial factoring technique:
u² + 2uv + v² = (u + v)²
From the equation, x² + 2x + 1 = 0
where a = 1, b = 2, c = 1
Find factors with product a × c and sum b:
Possible factors:
product a × c : 1 × 1 = 1
sum b : 1 + 1 = 2
Therefore, the binomial factors of x² + 2x + 1 = 0 is (x + 1)²
To find the roots, set x = 0:
x + 1 = 0
Subtract 1 from both sides to isolate x:
x + 1 - 1 = 0 - 1
x = -1 (This is the root of the equation).
2) y² - y - 2 = 0
where a = 1, b = -1, and c = -2
Determine the nature and number of solutions based on the discriminant, b² - 4ac:
b² - 4ac = (-1)² - 4(1)(-2) = 9
Since b² - 4ac > 0, then it means that the equation will have two real roots.
From the equation, y² - y - 2 = 0
where a = 1, b = -1, and c = -2:
Find factors with product a × c and sum b:
Product a × c :
1 × -2 = -2
-1 × 2 = -2
Sum b:
1+ (-2) = -1
-1 + 2 = 1
Therefore, the possible factors are: 1 and -2:
(y + 1) (y - 2)
To find the roots, set y = 0:
y + 1 = 0
Subtract 1 from both sides:
y + 1 - 1 = 0 - 1
y = -1
y - 2 = 0
Add 2 to both sides:
y -2 + 2 = 0 + 2
y = 2
Therefore, the roots of the quadratic equation, y² - y - 2 = 0 are: y = -1 and y = 2.
3.) y² + y + 1 = 0
where a = 1, b = 1, and c = 1
Determine the nature and number of solutions based on the discriminant, b² - 4ac:
b² - 4ac = (1)2 - 4(1)(1) = -3
Since b² - 4ac < 0, then it means that the equation will have two complex roots.
Use the Quadratic Formula:
[tex]y = \frac{-b +/- \sqrt{b^{2} - 4ac} }{2a}[/tex]
[tex]y = \frac{-1 +/- \sqrt{1^{2} - 4(1)(1)} }{2(1)}[/tex]
[tex]y = \frac{-1 +/- \sqrt{1 - 4} }{2}[/tex]
[tex]y = \frac{-1 +/- \sqrt{-3} }{2}[/tex]
[tex]y = \frac{-1 +/- i\sqrt{3} }{2}[/tex]
Therefore, the roots of the quadratic equation, y² + y + 1 = 0 are:
y = -½ + i [tex]\frac{\sqrt{3} }{2}[/tex]; y = -½ - i [tex]\frac{\sqrt{3} }{2}[/tex]
4) x² + 9x + 18 = 0
where a = 1, b = 9, and c = 18.
Determine the nature and number of solutions based on the discriminant, b² - 4ac:
b² - 4ac = (9)2 - 4(1)(18) = 9
Since b² - 4ac > 0, then it means that the equation will have two real roots.
Use the Quadratic Formula:
[tex]x = \frac{-b +/- \sqrt{b^{2} - 4ac} }{2a}[/tex]
[tex]x = \frac{-9 +/- \sqrt{9^{2} - 4(1)(18)} }{2(1)}[/tex]
[tex]x = \frac{-9 +/- \sqrt{9} }{2}[/tex]
[tex]x = \frac{-9 + 3}{2}; x = \frac{-9 - 3}{2}[/tex]
[tex]x = \frac{-6}{2}; x = \frac{-12}{2}[/tex]
x = -3; x = -6
Therefore, the roots of the quadratic equation, x² + 9x + 18 = 0
are: x = -3 and x = -6.
Orlando bought a new couch for 1,968, using the furniture store's finance plan. He will pay 164 a month for 12 months. Which equation can Orlando use to find out how much money he still owes after each month of the plan?
a) y = 164x - 1,968
b) y =1,968 - 164x
c) y = 164x
d) y= 1,968 + 164x
Answer:
B
Step-by-step explanation:
Total(1,968) - x(164) = new value
if a child weighs 83 pounds how many ouces would she weigh
Answer:
1,328
Step-by-step explanation:
1 pound = 16 ounces
83 pounds X 16 ounces = 1,328 ounces
1 pound is 16 ouces
83 pounds x 16 ounces equals 1328
The total bill was $45 and mr Spieker payed 2/6if the bill how much did mister spieker pay
Answer:
3.75 I think, not sure
Step-by-step explanation:
Mark uses an app that shows him how many kilometers he has run to prepare for a marathon. The app said he ran 9.654 kilometers. He wants to post online how many miles he ran. Mark ran ___ miles.
Answer:
5.9987174899
Step-by-step explanation:
9.654km / 1.609344
= 5.9987174899mi
Which statement BEST expresses a connection between gravity and friction? A. Gravity and friction work together to provide the strong, opposing force that slows a snowboarder's ride. B. Gravity and friction are connected as they are the only two factors influencing speed when snowboarding. C. Gravity and friction are opposing forces; gravity holds a snowboarder in place while friction pulls a snowboarder down. D. Gravity and friction result in successful snowboarding after the transference of gravity into energy and a lubricating water layer produced by friction.
Answer:
D
Step-by-step explanation:
I had this question on a test and D was right
it's worded the exact same way
Answer:
a.
providing a force to propel the snowboarder down a slope to gain speed
The guy above me is a fool
Step-by-step explanation:
Which equation can be used to find the missing leg in the triangle?
a2 + 202 = 162
202 + 162 = a2
a2 + 162 =202
16 + a2 = 20
Answer:
the person above me is correct C
Step-by-step explanation:
or a(2 + 16(2 = 20(2
The correct equation to the missing leg in the triangle is,
⇒ a² + 16² = 20²
What is Pythagoras theorem?
The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.
Given that;
The triangle is missing the b leg,
And, Two sides are,
c = 20 and a = 16
Hence, By using Pythagoras theorem we get;
⇒ a² + 16² = 20²
Thus, The correct equation to the missing leg in the triangle is,
⇒ a² + 16² = 20²
Learn more about the Pythagoras theorem visit:
https://brainly.com/question/343682
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Complete question is this,
Which equation can be used to find the missing leg in the triangle?
a² + 20² = 16²
20² + 16² = a²
a² + 16² =20²
16 + a² = 20
p.s the triangle is missing the b leg, and c=20 and a=16
please solve this question I give you brainliest answer
Answer:
6. 9^2+4x-1
7. 7x - 3 cm
8. -6x^2+3x-4
9. 4x+10y+4z
10 13x^2 - 2x
11. -5x^2 - 8x - 16
Step-by-step explanation:
6. (13x^2+x-3)-(4x2-3x-2) = 9x2+4x-1
7. x +4+2x+1+4x-8
= 7x-3 cm
8. (-8x^2 + 8x + 1) + (14x^2-11x+3)
10. (8x^2+x)-(-5x^2+3x)
11. (-x^2-6x+5) - (4x^2+2x+11)
What is the greatest common factor of 8 and 6
Answer: 2
Step-by-step explanation:
Please help me somebody!
The answer is attached below
Hi, I really need help on this, please help me, no scam links.
Answer:
560 cm^3
Step-by-step explanation:
To find volume you will have to multiply all three, length, width and height of an object to determine the answer.
In this problem, 7 cm * 20 cm * 4cm = 560 cm^3
gardener has 27 pansies and 36 daisies. He plants an equal number of each
type of flower in each row. What is the greatest possible number of pansies in
each row? Thanks
Answer:
9
Step-by-step explanation:
the gcf is 9
Help!! ASAP
Is relation below a function? If it is a function, state its domain.
{(0,3),(2,-3),(1,8),(2,3)}
A. The relation is not a function.
B. The relation is a function. The domain is {0,1,2}.
C. The relation is a function. The domain is {-3,3,8}
D. The relation is a function. The domain is {-3,0,1,2,3,8}
Answer:
A. The relation is not a function.
Step-by-step explanation:
Since 2 --> -3, and 2 --> 3, the relation is not a function.