Answer:
E (The product of seven and the difference of b minus two)
Step-by-step explanation:
Hey i need help finding the orthocenter for the following points, please show the steps you used. thanks
(-3, 0.5)
(3,3)
(2,-1)
9514 1404 393
Answer:
(81/43, -31/43) ≈ (1.884, -0.7209)
Step-by-step explanation:
The orthocenter is the intersection point of the altitudes of the triangle. Since this is not a right triangle, you need to find the equations of the altitude lines, then find where those intersect.
If we call the points A, B, C in the order given, the attached figure shows the altitude lines from B perpendicular to AC, and from C perpendicular to AB.
We can find the equation of the perpendicular line using the form ...
∆x·x +∆y·y = c
where ∆x and ∆y are the differences in coordinates between the points on the "side" and the value of constant 'c' is determined by evaluating the expression using x and y as the coordinates of the opposite vertex.
__
For line AC, we have ...
(∆x, ∆y) = C - A = (2, -1) -(-3, 0.5) = (2+3, -1-0.5) = (5, -1.5)
Then the equation of the first altitude line is ...
5x -1.5y = 6(3) -1.5(3) = 10.5
Multiplying by 2 puts this in standard form:
10x -3y = 21
__
For line AB, we have ...
(∆x, ∆y) = B - A = (3, 3) -(-3, 0.5) = (3+3, 3-0.5) = (6, 2.5)
Then the equation of the second altitude line is ...
6x +2.5y = 6(2) +2.5(-1) = 9.5
Multiplying by 2 puts this in standard form:
12x +5y = 19
__
Then the orthocenter is the solution to the system of equations ...
10x -3y -21 = 0
12x +5y -19 = 0
This set of equations can be solved a number of ways. One is the "cross-multiplication" method.
1/(10·5 -12·(-3)) = x/(-3·(-19) -5·(-21)) = y/(-21(12) -(-19)(10))
x = 162/86 = 81/43
y = -62/86 = -31/43
The orthocenter is (81/43, -31/43) ≈ (1.884, -0.7209).
_____
Additional comment
The "cross multiply method" is based on cross products when the equations are written in standard form:
ax +by +c = 0
dx +ey +g = 0
Usually, the coefficients are written in two rows of four, with the first column repeated at the end:
a b c a
d e g d
Then cross products are formed, where diagonal down is positive and diagonal up is subtracted from that:
p1 = (ae -db), p2 = (bg -ec), p3 = (cd -ga)
These give the solution to the equations when put in the form ...
1/p1 = x/p2 = y/p3 ⇒ x = p2/p1 and y = p3/p1
If you look at videos of this "cross multiply method," they will put the 1/p1 at the end of the string of equalities, and they will use the coefficients in the order starting with b instead of a. I find the arrangement here easier to remember, so less likely to get confused.
Further comment
You can, of course, find the slopes of the lines, and their opposite reciprocals, then use a point-slope form or some other method for writing the equations of the altitude lines. The solution to the equations can proceed by substitution or elimination. No doubt these methods are somewhat familiar. The method used here tries to get to the answer much more quickly with a lot less writing. (Unfortunately, it takes a bit of writing to explain it all.)
16 is what percent of 96?
Answer:
15.36%
Step-by-step explanation:
1. Allison’s middle school team has designed t-shirts containing their team name and color. Allison and her friend Nicole have volunteered to call local stores to get an estimate on the total cost of purchasing t-shirts. Print-o-Rama charges a set-up fee, as well as a fixed amount for each shirt ordered. The total cost is shown below for the given number of shirts. Value T’s and More charges $8 per shirt. Which company should they use?
a. Does either pricing model represent a proportional relationship between the quantity of t-shirts and the total cost? Explain.
b. What is the constant of proportionality of Value T’s and More? What does it represent?
c. How much is Print-o-Rama’s set-up fee?
d. If you need to purchase 90 shirts, write a proposal to your teacher indicating which company the team should use. Be sure to support your choice. Determine the number of shirts that you need for your team.
Answer:
the numbers are missing here, so I looked for a similar question:
Print-O-Rama
# shirts total cost
10 $95
50 $375
a. Does either pricing model represent a proportional relationship between the quantity of t-shirts and the total cost? Explain.
Value T’s and More offers a proportional relationship since each t-shirt costs $8 regardless of the number of t-shirts
b. What is the constant of proportionality of Value T’s and More? What does it represent?
$8 per t-shirt
f(c) = $8t
the function of total cost = $8 times the number of t-shirts ordered
c. How much is Print-o-Rama’s set-up fee?
using the high-low method
variable cost = ($375 - $95) / /50 - 10) = $7 per t-shirt
fixed cost (set-up fee) = $375 - (50 x $7) = $25
d. If you need to purchase 90 shirts, write a proposal to your teacher indicating which company the team should use. Be sure to support your choice. Determine the number of shirts that you need for your team.
purchasing 90 t-shirts at Print-o-Rama costs = $25 + (90 x $7) = $655
purchasing 90 t-shirts at Value T’s and More costs = 90 x $8 = $720
you should purchase the t-shirts at Print-o-Rama since the cost is lower.
Circle B has a radius of 7 and its center is located at (2,5).
Circle H has a radius of 13 and its center is located at (9,-4).
Circle B and circle H _______________ similar.
A. No answer text provided.
B. cannot be determined to be
C. are
D. are not
Answer:
C. Circle B and circle H are similar.
Step-by-step explanation:
From Euclidean Geometry we remember that all circles are similar to each other and from Analytical Geometry we know that all circles are characterized by two things: Center and radius. Both circles B and H are known for having a respective radius and center.
In consequence, we conclude that correct answer is C.
2^4 - 7^3 – 15^2 = 0
Answer:
False
Step-by-step explanation:
Simplify.
Look at the picture
Answer:
1397.970007
Step-by-step explanation:
3. Which property of multiplication is shown by the equation
14.y.1 = 14y?
A. Associative
C. Commutative
B. Distributive
D. Identity
Answer:
identity
Step-by-step explanation:
it states that any number times 1 is equal to itself. so when u have 14y, you can multiply it by 1 and it will remain the same.
Answer:
identity
Step-by-step explanation:
Given: AD = BC and AD || BC
Prove: ABCD is a parallelogram.
Angles Segments Triangles Statements Reasons
ZBCA
DAC
A
Statements
Reasons
00
D
с
Assemble the proof by dragging tiles to
the Statements and Reasons columns.
Answer:
AD ≅ BC | Given
AD ║ BC | Given
AC ≅ AC | Reflexive Property
∠DAC ≅ ∠ACB | If 2 || lines are cut by a trans., the | alternate interior ∠s are congruent.
ΔADC ≅ ΔBCA | S.A.S Postulate
BA ≅ DC | Corresponding sides of congruent Δs
So, quad. ABCD is a ║gm | If a quad. has its opposite sides
| congruent, the quad. is a parallelogram.
Step-by-step explanation:
Step-by-step explanation:
Sorry I'm late I hope that helps:)
WHAT IS FRICTION BETWEEN????? NEED ANSWERS ASAP
Answer:
Friction is a force between two surfaces that are sliding, or trying to slide, across each other.
Step-by-step explanation:
For example, when you try to push a book along the floor, friction makes this difficult.
Answer:
Friction is the force that opposes motion between any surfaces that are in contact. There are four types of friction: static, sliding, rolling, and fluid friction. Static, sliding, and rolling friction occur between solid surfaces. Fluid friction occurs in liquids and gases.
Step-by-step explanation:
Choose the slope and y-intercept that
correspond with the graph.
1. What is the measure of angle 4?
2. What is the measure of angle 1?
3. What is the measure of angles 3?
4. What is measure of angle 6?
5. What is the relationship between angles 4 and 5?
Answer:
bla bla bal bala bla bla bla bla hahahahhahahahhhehehhehehehheheh joke png
Find the value of the variable that makes the equation true 3x-11=-2x+19
Answer:
x = 6
Step-by-step explanation:
Given
3x - 11 = - 2x + 19 ( add 2x to both sides )
5x - 11 = 19 ( add 11 to both sides )
5x = 30 ( divide both sides by 5 )
x = 6
can anyone help i will give brainlist!! also you have to solve the equations using elimination
Step-by-step explanation:
5x+2y=29
5x-2y=41
add the equations
10x=70
divide both sides by ten
x=7
substitute 7 in the first equation
5(7)+2y=29
simplify
35+2y=29
subtract 35 from both sides
2y=-6
simplify
y=-3 x=7
3x+2y=9
5x+2y=12
subtract the equations
-2x=-3
simplify
x=1.5
substitute
3(1.5)+2y=9
simplify
4.5+2y=9
subtract 4.5 from both sides
2y=4.5
simplify
y=2.25 x=1.5
5x+2y=-9
2x-3y=4
multiply first equation by three and second by two
15x+6y=-27
4x-6y=8
add equations
19x=-19
simplify
x=-1
substitute
15(-1)+6y=-27
simplify
-15+6y=-27
add 15 to both sides
6y=-12
simplify
y=-2 x=-1
Which equation matches the story: Elena spends $17 and buys a $3 book and a bookmark for each of her 5 cousins. How much does each bookmark cost?
3(x+5)=17
3x+5=17
5(x+3)=17
5x+3=17
Answer:
$2.80
Step-by-step explanation:
17-3=14
14 divided by 5=
2.8
Add 0 since it's about money.
$2.80
3(x + 7)
plz heeelp
who ever helps gets 5 points
Answer:
3x + 21
Step-by-step explanation:
3(x+7)
3 * x + 3 * 7
3x + 21
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
Answer:
3x + 21
Step-by-step explanation:
3(x + 7)
3(x + 21)
3x + 21
Find the values of x and y by writing two equations and solving the system of equations.
Answer:
y=2 x=5
Step-by-step explanation:
3x-2y=11
2x-3y=4
you multiply both equations to cancel one variable out. in this case you multiply the first equation by 2 and the second by -3
6x-4y=22
+ -6x-9y=12
--------------------------
0x+5y=10
y=2
you plug that in either equation
3x-2(2)=11
3x-4=11
3x=15
x=5
Which of the following is equivalent to 7a^4+3a^4
Answer:
Step-by-step explanation:
7a^4 + 3a^4 is 10a^4
What are the slope and the y-intercept of the line that represents plant A's height in inches in terms of the number of weeks? (Hint: The formula
for slope is slope = rise/run, and the y-intercept is the y-coordinate when x = 0.)
Answer:
Plant A is y=2x+6
Step-by-step explanation:
Slope: 2
Y-intercept: 6
The critical points of a rational inequality are x = –4 and x = 2. Which set of points can be tested to find a complete solution to the inequality?
Answer:
-2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
Having to do with quantities greater than zero A)positive B)negative C)Debt
Answer:
A)positive
Step-by-step explanation:
All quantities greater than zero will be positive, although zero itself is not considered negative or positive. Also, debt means that something would be owed. This would mean the number is negative and therefore not correct.
Write an equation of the line that passes through the given point and is parallel to
the given line.
10. (14, 3); 2y - x - 8
Answer:
y = x - 23
Step-by-step explanation:
How do I solve 8x+5y=-20 ?
Answer: y=-8/5x-4
Step-by-step explanation:
8x+5y=-20
-8x -8x
5y=-8x-20
/5 /5
y=-8/5x-4
Giving Brainlest to the person who explains how to get the right answer !!!!
Food poisoning strikes 76 million people in America each year and kills about 5,000 people each year. What is the the percentage of food poisoning victims who die from food poisoning each year
Answer:
300 million
Step-by-step explanation:
Answer:
5,000 people = 1520000%
Step-by-step explanation:
To find the inverse of f(x) = 2x – 1, Patel begins by replacing f(x) with y. He then switches x and y. What is the next step?
A.Solve the equation for x.
B.Subtract 1 from both sides of the equation.
C.Solve the equation for y.
D.Replace y with f–1(x).
it a
Answer:
Step-by-step explanation:
C. Solve for y
A 40-degree angle is translated 5 inches along a vector
Answer :need the options you choose frome
Step-by-step explanation:
Wesley subscribes to a telecommunication company’s movie package.The plan includes a basic monthly charge of $40 and an additional charge of $1.50 for every movie ordered. 2a) Write an equation for the total charge for a month, C, in terms of the number of movies, m, Wesley orders per month. This is a required question 2b) If Wesley ordered 4 movies one month, what was his total charge for the month?
Answer:
46
Step-by-step explanation:
So, the plan
monthly =40 + 1.50x
and he orders 4 movies in a month your problem to solve now looks like this
1 month = 40+1.50x4
Then, 1 month= 40 + 6
1 month= 46
Choose the representations or descriptions that model the relation provided in each item. For each relation, select all situations that apply.
x -2 0 2 4
f(x) 4 0 4 16
a The relation is a function.
b f( x) = -2 x
c f(4)= -2
d domain: {-2, 0, 2, 4}
e The relation is not a function.
f f( x) = x2
It is B and D because it is the only one that matches the input and outputs. D shows a perfect graph of the points while B shows the points themselves. They cannot be a linear function since they are not linear so it is not E or F.
Vivian earned $540 last month. She saved 30% of this money. How much did she save?
Answer:
$162
Step-by-step explanation:
Step 1: Multiply 540 by .3 (convert 30% to a decimal)
540 x 0.3= 162
Helen is typing a report and is using two different sizes of fonts, as shown below. What is the ratio of the height of a letter typed using font I to the height of a letter typed using font II?
2/9
1/3
3
9
WILL RECIEVE BRAINLIST
Answer: 2/9
Step-by-step explanation:
Will GIVE BRAINILEST TO WHO ANSWERS
Subtract 9x^2+7x-29x 2 +7x−2 from 8x-108x−10.
Answer:
20x^2 - 107x - 10.
Step-by-step explanation:
8x - 108x - 10 - (9x^2 + 7x -29x^2)
simplifying:
-100x - 10 - (7x - 20x^2)
20x^2-100x - 7x - 10
20x^2 - 107x - 10
Answer:
−9x
2
+x−8
Step-by-step explanation: