Answer:
Existen dos posibles soluciones para el extremo faltante del segmento de línea: [tex]B_{1} (x,y) = (4,6)[/tex], [tex]B_{2} (x,y) = (-6.462, -9.693)[/tex].
Step-by-step explanation:
La longitud del segmento comprendido entre [tex]A(x,y) = (2,-4)[/tex] y [tex]B(x,y) = \left(z, \frac{3}{2}\cdot z \right)[/tex] queda descrita por la siguiente identidad pitagórica:
[tex](2\sqrt{26})^{2} = (z-2)^{2}+\left(\frac{3}{2}\cdot z +4 \right)^{2}[/tex] (1)
[tex]104 = (z^{2}-4\cdot z +4) + \left(\frac{9}{4}\cdot z^{2}+12\cdot z +16 \right)[/tex]
[tex]104 = \frac{13}{4}\cdot z^{2}+8\cdot z +20[/tex]
[tex]\frac{13}{4}\cdot z^{2}+8\cdot z -84 = 0[/tex] (2)
Calculamos las raíces mediante la Ecuación General de la Cuadrática:
[tex]z_{1} = 4[/tex], [tex]z_{2} \approx -6.462[/tex]
Esto indica que existen dos posibles soluciones para las coordenadas de B, es decir:
Solución 1 ([tex]z_{1} = 4[/tex])
[tex]B_{1} (x,y) = (4,6)[/tex]
Solución 2 ([tex]z_{2} \approx -6.462[/tex])
[tex]B_{2} (x,y) = (-6.462, -9.693)[/tex]
The distance traveled is equal to the rate of speed multiplied by the time traveled. If the distance is measured in feet and the time is measured in minutes, then the rate of speed is expressed in which units?
Find the area of the polygon pls help
I will do anything for a legit answer plsssssss
The tennis team is having a fundraiser for uniforms for its 9 players. The total cost for the uniforms is $759.84 and the team already has $224.36. Write and solve an inequality that represents the amount of money, x, each team member must raise? Input your answer as an inequality with no spaces
Answer:
X ≥ 59.50
Step-by-step explanation:
So to begin, your equation would need to solve for x. X has to be greater than or equal to the minimum amount each player needs to raise for the uniforms. To find how much money they need to raise subtract $224.36 from $759.84 to get $535.48. Divided $535.48 by 9 players to see the minimum amount they each need to contribute. You should get $59.50 roughly. So each player would need to raise greater than or equal to $59.50.
Hope this helps!
When animals or humans build things, they choose materials based on their
Answer:
strength, availability, preference, and cost
Step-by-step explanation:
Stability, purpose, texture, appearance, structure, and size.
Mrs. Jensen, the science teacher, collected 30 sedimentary rocks and 42 metamorphic
ones. Now she wants to create some identical kits for studying rocks, without having
any rocks left over. What is the greatest number of kits she can create? How many of
each rock will be in each kit?
Answer:
The most kits she can create is 6 with 5 sedimentary and 7 metamorphic
Step-by-step explanation:
Hope this helped, have a blessed day
Write and equation of the line that passes through (0,3) and (-5,2.5)
Answer:
Check pdf
Step-by-step explanation:
Bonsoir pour vais vous m'aider svp développer et réduire l'expression D=(2x+3)²-(x+4)² et factoriser D Svp aider moi
Answer:
d = 3x²+ 4x - 7
C'est la réponse j'espère que ça aide.
Find three consecutive odd integers such that the
difference of twice the second and the first is 11.
Answer:
Step-by-step explanation:
n, n+2, n+4
2(n+2)-n=11
2n+4-n=11
n+4=11
n=7
So the three consecutive odd terms are 7, 9, 11.
For the function f(x)=(x+3) (x+1)^n (x-2)^2, what is the multiplicity of the zero at x = 2?
Group of answer choices:
a.3
b.1
c.n
d.2
Answer:
D.2
Step-by-step explanation:
When graphed, the line touches x=2 twice.
what’s the relationship between these two angles?
Answer:
Co- interior angles
Step-by-step explanation:
Together they add up to 180°
So angle 5x= 115°
QUESTION 1: simplify 18-24÷8+7
QUESTION 2: simplify 9²-32÷(3+4⁰)
QUESTION 3: simplify 8(5)-(3+2)²
Answer:
1. 22
2.73
3.15
Step-by-step explanation:
HELPPP MEE PLEASEEE!!!
Answer:
8 degrees now and the change would be a 3 degree difference
I dont understand? Can someone plz help
Answer:
2/5; 1/2; 2/3; 14/10; 2/6
Step-by-step explanation:
When finding equivalent fractions, multiply or divide both the numerator and denominator by the same number.
4/10 = 2/5 because 4÷2=2 and 10÷2=5
The same thing has been done to both the numerator and denominator (in this case they have both been divided by 2)
1/9 x (1/2) ^3 please help
Answer:
1/72
Step-by-step explanation:
1/2×1/2×1/2=1/8
1/9 × 1/8 =1/72
EASY BRAINLESS...
seventy percent of the fish in an aquarium are salmon. if there are a total of 450 fish in the aquarium, how many salmon are there? how many fish are not salmon
Answer:
There are 315 salmon and 135 fish that aren't salmon.
Step-by-step explanation:
The number of salmon in the aquarium would be 70% of the 450 fish, so to find the number you multiply .7 by 450:
450 × .7 = 315
So, there are 315 salmon. To find how many fish are not salmon, you would subtract 315 from 450:
450 - 315 = 135
So, 135 of the fish are not salmon.
If Nick's Flemish giant rabbit weighs 12 more pounds than his Holland lop rabbit, how much does his Flemish giant rabbit weigh?
Answer:
[tex]X + 12[/tex] Pounds , where X is the weight of Holland lop Rabbit
Step-by-step explanation:
Let the weight of Holland lop Rabbit [tex]= X[/tex] pounds.
It is given that the weight of the Nick's Flemish giant rabbit is [tex]12[/tex] pounds more than the weight of the Holland lop Rabbit.
Hence, the weight of the Nick's Flemish giant rabbit is
[tex]X + 12[/tex] Pounds
An artist used colored squares to put on the windows that measure 1/4 by 1/4 How many colored squares would fit in that area of the window?
The question is incomplete. The complete question is :
An artist used colored squares to put on the windows that measure 1/4 by 1/4 How many colored squares would fit in that area of the window? The window measures 3 1/2 feet by 2 3/4 feet?
Solution :
It is given that :
The measure of the window is = [tex]$3\frac{1}{2}$[/tex] feet by [tex]$2\frac{3}{4}$[/tex] feet
The measure of the colored square = [tex]$\frac{1}{4}$[/tex] feet by [tex]$\frac{1}{4}$[/tex] feet
So the area of the window is given as :
[tex]$=3\frac{1}{2} \times 2\frac{3}{4}$[/tex]
= 9.625 square feet
Similarly the area of the colored square [tex]$=\frac{1}{4} \times \frac{1}{4}$[/tex]
[tex]$=\frac{1}{16}$[/tex]
= 0.0625 square feet
Therefore, the total number of the colored squares required to fit the window is given by :
[tex]$=\frac{9.625}{0.0625}$[/tex]
= 154 colored squares
Hii this is perpendicular line etc
The road where John jogs on weekends rises 75 feet over horizontal distance of 920 feet. Find the road grade round your answer to the nearest 10th
Answer:
[tex]Grade = 12.3[/tex]
Step-by-step explanation:
Given
[tex]Rise = 75ft[/tex]
[tex]Run = 920ft[/tex]
Required
Determine the road grade
This is calculated as:
[tex]Grade = \frac{Rise}{Run}[/tex]
[tex]Grade = \frac{920ft}{75ft}[/tex]
[tex]Grade = 12.3[/tex] --- approximated
3. Write an equation for the line that is perpendicular to the given line and that passes through the given point. y = 4x + 1 (12,-6)
a)y = -1/4x + 12
b)y = -1/4x - 3
c)y = -1/4x - 6
d)y= -1/4x + 3
Answer:
D. y = -1/4x + 3
Step-by-step explanation:
If the line is perpendicular, it will have a opposite reciprocal slope.
So, the slope will be -1/4.
Plug in this slope and the given point into y = mx + b, and solve for b:
y = mx + b
-6 = -1/4(12) + b
-6 = -3 + b
-3 = b
Plug in the slope and y intercept into y = mx + b
y = -1/4x - 3
So, the correct answer is D. y = -1/4x + 3
Answer:
D. y = -1/4x + 3
Step-by-step explanation:
Because it is the "Correct Answer"
Which function has an inverse that is a function?
Help I will be marking brainliest!!!
A. 45
B. 43
C. 36
D. 90
Show work, or explain you answer if possible. Thanks❤️
A. 45
B. 43
C. 36D. 90
#CarryOnLearning.
Josh reads a book at a rate of 20 chapters per hour. How many chapters does he read in 4 hours?
Answer:
He can read 80 in four hours.
ayuda es para ahoritaaa
Answer:
a) 67
b) 122
c) que angulo
d) 40
Step-by-step explanation:
if the percent of discount is 64% and the sale price is $72 what is the original price
Answer:
AFSGDZHFjxgASZtrnzxm
Step-by-step explanation:
safDGfhzgj
10.
Which points are on the graph of the function rule f(x) = 10 – 4x?
A. (18, –2), (10, 0), (2, 2)
B. (–2, 18), (0, 10), (2, 2)
C. (2, –18), (0, –10), (–2, –2)
D. (–18, 2), (–10, 0), (–2, –2)
Answer:
B. (–2, 18), (0, 10), (2, 2)
Step-by-step explanation:
Find the function by taking the integral of the derivative.
F ( x ) = 10 x − 2 x 2 + C
Given: f(x) = 10 - 4x
Just substitute in each points to see if they satisfy the equation.
Looking (c)
(-2,18) ----> 10 - 4(-2) = 10 + 8 = 18. (-2,18) is satisfied.
(0,10) ----> 10 - 4(0) = 10. (0,10) is satisfied.
(2,2) ----> 10 - 4(2) = 10 - 8 = 2. (2,2) is satisfied.
Therefore, (b) is the solution.
Stuffed animals each weighing 1/4 pound are on a scale. The scale shows 1 1/2 pounds. How many stuffed animals are on the scale?
Answer: The answer is: 6
Step-by-step explanation: I have my ways ;>
Have a nice day!
-Sunny
1. Refer to the figure at the right. Line a is parallel to line b and m2 is 135 °. Find each given angle measure. Justify your answer
m9+m<10
m1
m6
m4+ m5
this means angle
Answer:
∠9 + ∠10 = 135° combined, they are alternate equal to ∠2
∠1 =45° it is supplementary to ∠2
∠6 = 45° it is corresponding congruent to ∠8 which is alternate
equal to ∠1
∠4 + ∠5 = 135° combined, they are corresponding congruent to ∠2
The measure of the angles ∠1, ∠6, ∠4, ∠5, ∠9, and ∠10 will be 45°, 45°, 45°, 90°, 45°, and 90°, respectively.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
Corresponding angle - If two lines are parallel then the third line. The corresponding angles are equal angles.
Vertically opposite angle - When two lines intersect, then their opposite angles are equal.
Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.
All the angles are mentioned on the diagram.
The measure of the angles ∠1, ∠6, ∠4, ∠5, ∠9, and ∠10 will be 45°, 45°, 45°, 90°, 45°, and 90°, respectively.
More about the angled link is given below.
https://brainly.com/question/15767203
#SPJ2
4) Which is the equation of the line with a slope of 2/1 and a y-intercept at 5? *
Answer:
y = 2x + 5
Step-by-step explanation:
Slope intercept form is y = mx + b
m = slope
b = y - intercept
Substitute and you get: y = 2x + 5
In the United States, voters who are neither Democrat nor Republican are called Independent. It is believed that 11% of voters are Independent. A survey asked 33 people to identify themselves as Democrat, Republican, or Independent. A. What is the probability that none of the people are Independent? Probability = B. What is the probability that fewer than 6 are Independent? Probability = C. What is the probability that more than 2 people are Independent? Probability =
Answer:
a) 0.0214 = 2.14% probability that none of the people are Independent.
b) 0.8516 = 85.16% probability that fewer than 6 are Independent.
c) 0.8914 = 89.14% probability that more than 2 people are Independent.
Step-by-step explanation:
For each people, there are only two possible outcomes. Either they are independent, or they are not. For each person asked, the probability of them being Independent voters is the same. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
It is believed that 11% of voters are Independent.
This means that [tex]p = 0.11[/tex]
A survey asked 33 people to identify themselves as Democrat, Republican, or Independent.
This means that [tex]n = 33[/tex]
A. What is the probability that none of the people are Independent?
This is P(X = 0). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{33,0}.(0.11)^{0}.(0.89)^{33} = 0.0214[/tex]
0.0214 = 2.14% probability that none of the people are Independent.
B. What is the probability that fewer than 6 are Independent?
This is
[tex]P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)[/tex]
So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{33,0}.(0.11)^{0}.(0.89)^{33} = 0.0214[/tex]
[tex]P(X = 1) = C_{33,1}.(0.11)^{1}.(0.89)^{32} = 0.0872[/tex]
[tex]P(X = 2) = C_{33,2}.(0.11)^{2}.(0.89)^{31} = 0.1724[/tex]
[tex]P(X = 3) = C_{33,3}.(0.11)^{3}.(0.89)^{30} = 0.2202[/tex]
[tex]P(X = 4) = C_{33,4}.(0.11)^{4}.(0.89)^{29} = 0.2041[/tex]
[tex]P(X = 5) = C_{33,5}.(0.11)^{5}.(0.89)^{28} = 0.1463[/tex]
[tex]P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.0214 + 0.0872 + 0.1724 + 0.2202 + 0.2041 + 0.1463 = 0.8516[/tex]
0.8516 = 85.16% probability that fewer than 6 are Independent.
C. What is the probability that more than 2 people are Independent?
This is:
[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]
In which
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{33,0}.(0.11)^{0}.(0.89)^{33} = 0.0214[/tex]
[tex]P(X = 1) = C_{33,1}.(0.11)^{1}.(0.89)^{32} = 0.0872[/tex]
[tex]P(X < 2) = 0.0214 + 0.0872 = 0.1086[/tex]
[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.1086 = 0.8914[/tex]
0.8914 = 89.14% probability that more than 2 people are Independent.