1. Which of the following lines is parallel to the line y = -3/2x +1 and contains the point (4,2)?
Answers
Answer:
The answer should be y = -[tex]\frac{3}{2}[/tex][tex]x[/tex] + 8, but its not one of the answers, so check the question again.
Step-by-step explanation:
If the second line is parallel, then the gradient will be the same:
y = -[tex]\frac{3}{2}[/tex][tex]x[/tex] + c
Find what c is (y-intercept) by inputting the given point into the equation (4,2):
2 = (-[tex]\frac{3}{2}[/tex] x 4) + c
2 = -6 + c
c = 8
Related Questions
Using the Incenter P, find the measure of ∠ZPX.
117°
140°
64°
129°
42°
132°
Answers
Answer:
The measure of ∠ZPX is 63°
Step-by-step explanation:
The given parameters are;
The incenter of the triangle = P
m∠KXP = 31°, m∠PYJ = 27°, [tex]\overline {ZP}[/tex] = 20 feet
Given that the segment [tex]\overline {XJ}[/tex] from the vertex, X, passes through the incenter of the triangle, we have;
The segment [tex]\overline {XJ}[/tex] bisects ∠KXL to form ∠KXP and ∠LXP
Therefore, ∠KXP = ∠LXP = 31°
∠KXL = ∠KXP + ∠LXP = 31° + 31° = 62°
∠KXL = 62°
Similarly;
The segment [tex]\overline {YL}[/tex] bisects ∠KYJ to form ∠PYJ and ∠PYK
Therefore, ∠PYJ = ∠PYK = 27°
∠KYJ = ∠PYJ + ∠PYK = 27° + 27° = 54°
∠KYJ = 54°
In ΔXYZ, we have, ∠LZJ + ∠KYJ + ∠KXL = 180° based on the sum of the interior angles of a triangle postulate
∴ ∠LZJ = 180° - (∠KYJ + ∠KXL) = 180° - (54° + 62°) = 64°
∠LZJ = 64°
The segment [tex]\overline {ZK}[/tex] bisects ∠LZJ to form ∠PZL and ∠PZJ
Therefore, ∠PZL = ∠PZJ
∠LZJ = ∠PZL + ∠PZJ = 2 × ∠PZL = 64°
∠PZL = 64°/2 = 32° = ∠PZJ
In ΔZPX, we have;
∠PZL + ∠LXP + ∠ZPX = 180° based on the sum of the interior angles of a triangle postulate
∠ZPX = 180° - (∠PZL + ∠LXP) = 180° - (32° + 31°) = 63°
∠ZPX = 63°
The measure of ∠ZPX = 63°
write an equation in slope-intercept form for the line with slope -3/5 and y-intercept -2. :))
Answers
Answer:
Step-by-step explanation:
Given m=-3/5 ; c = -2
y =mx + c
y= (-3/5)x -2
Rewrite without parentheses. -3y^4(6y^3 -7y^2 - 3y)( click/tap on image to see.)
Answers
Answer:
I got -18y^7 + 21y^6 + 9y^5
Step-by-step explanation:
miss watson runs a disatnce of 200 metres in 25 seconds.
work out the average speed of miss watson in metres per second
Answers
Answer:
Step-by-step explanation:
ANSWER:
average = total distance / time
average = 200/25 = 8 m /s
select all pairs of congruent angles
Answers
Answer:
1,4
2,3
1,6
6,7
5,8
5,2
1,6
7,2
8,1
3,6
4,5
1,5
2,6
3,7
4,8
Step-by-step explanation:
Alternate interior, exterior, vertical, and complemetary angles are congruent.
The pairs of congruent angles are ∠1≅∠4, ∠2≅∠3, ∠5≅∠8 and ∠6≅∠7.
What are angles of parallel lines?Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.
From the given figure,
Vertically opposite angles:
∠1≅∠4
∠2≅∠3
∠5≅∠8
∠6≅∠7
Alternate interior angles:
∠3≅∠6
∠4≅∠5
Alternate exterior angles:
∠1≅∠8
∠2≅∠7
Corresponding angles:
∠1≅∠5
∠2≅∠6
∠4≅∠8
∠3≅∠7
Therefore, the pairs of congruent angles are ∠1≅∠4, ∠2≅∠3, ∠5≅∠8 and ∠6≅∠7.
Learn more about the parallel line angles here:
https://brainly.com/question/17237586.
#SPJ1
Quadratic functions. Did I do it right?
Answers
Answer:
1) The graph is opening upwards
2) Axis of symmetry is x=-2
3) Vertex: (-2, 1) minimum y=1
4) y intercept is (0, 9)
5) domain: x|x ∈ R (All real numbers)
6) Range y|y ≥ 1
Si en un triángulo un ángulo mide 30º y otro 70º¿cuánto mide el tercer ángulo?
Answers
Answer:
El tercer ángulo es 80
Step-by-step explanation:
En un triángulo hay 3 ángulos. Cuando sumas todos los ángulos, es igual a 180. Entonces, para esto, todo lo que tienes que hacer es sumar 30 y 70, lo que te da 100. Luego, restar 100 de 180, lo que te da 80. Lo que significa que el tercer ángulo es 80 :)
What is 2/3 divided by 1/2 ?
A. 3/4
B. 4/3
C. 1/3
D. 1/4
Answers
Answer:
B. 4/3 is your answer dear.
Step-by-step explanation:
Solve
2/3 * 2/1
coz it is reciprocal .
you'll get 4/3
Hope you got it.
Priya is given the following Prime Factorisations: 45=3 x 3 x 5 and 105 = 3 x 5 x 7
She uses this information as follows:
The HCF of 45 and 105 is 15 and the LCM of 45 and 105 is 105.
Priya is wrong. What mistake has she made?
Answers
answers
105= 5×5×5
Step-by-step explanation:
priya is wrong because 105 factorism is 5×5×5
Answer:
105= 5×5×5
Step-by-step explanation:
Priya is wrong because 105 factorism is 5×5×5
Billy jarred 3.87 liters of jam after 3 days. How many days does Billy need to jar 15.48 liters of jam in all?
Answers
Answer: 12 days
Step-by-step explanation:
3.87/3=1.29 liters of jam in 1 day
1.29*12=15.48 liters in 12 days
Answer:
12 days
Step-by-step explanation:
simplify I know I spelled it wrong
Answers
Answer:A
Step-by-step explanation:
Answer:
D ) 25t + 10
Step-by-step explanation:
Re-order terms so constants are on the left:
(5t+2) 5
5 (5t +2)
Distribute:
5 (5t +2)
25t +10
Answer:
25t +10
What does F(1) represent ?
Answers
Answer:
F(1) represents the first term of the sequence.
Step-by-step explanation:
Let us suppose the sequence function
[tex]F(n) = 16-3n[/tex]
We can find the first term of the sequence by substituting n=1 in the function sequence
[tex]F(1) = 16-3(1)[/tex]
[tex]= 16-3[/tex]
[tex]=13[/tex]
We can find the 2nd term of the sequence by substituting n=2 in the function sequence
[tex]F(2) = 16-3(2)[/tex]
[tex]= 16-6[/tex]
[tex]=10[/tex]
We can find the 3rd term of the sequence by substituting n=3 in the function sequence
[tex]F(3) = 16-3(3)[/tex]
[tex]= 16-9[/tex]
[tex]=7[/tex]
So the first three terms of the sequence is:
13, 10, 7...
As the common difference is the same.
i.e. d = 10-13 = -3, d = 7-10 = -3
Hence, it is an Arithmetic sequence.
As the first term is 13, which can be obtained by putting n=1 in the function sequence.
Therefore, from the above discussion, we can conclude that F(1) represents the first term of the sequence.
the population of fish in a pond from 2001 to 2014 is modeled by the function below where t is the years since 2001. using the function find the number of fish is the pond in 2014
[tex]p(t)=\frac{1125}{1+12e^{-0.17t} }[/tex]
Answers
Given :
The population of fish in a pond from 2001 to 2014 is modeled by the function below where t is the years since 2001.
[tex]p(t) = \dfrac{1125}{1+12e^{-0.17t}}[/tex] ...1)
To Find :
Find the number of fish is the pond in 2014.
Solution :
Number of years, t = 2014 - 2001 = 13.
Putting value of t in equation 1), we get :
[tex]p(t) = \dfrac{1125}{1+12e^{-0.17\times 13}}\\\\p(t) = 485.67[/tex]
p(t) ≈ 486
Therefore, number of fish in the pond in 2014 is 486.
Hence, this is the required solution.
John has 3 ½ pounds of Skittles. He wants to share them with his friends. He decides to give ¾ pounds of Skittles to each friend. The leftover Skittles he keeps for himself.
Answers
Given :
John has 3 ½ = 7/2 pounds of Skittles.
He decides to give ¾ pounds of Skittles to each friend.
To Find :
How much the leftover Skittles are.
Solution :
Let, his number of bands are x.
So, amount of Skittles left is :
[tex]L= \dfrac{7}{2}-\dfrac{3x}{4}\\\\L = \dfrac{24-3x}{4}[/tex]
Therefore, amount of leftover Skittles are [tex]\dfrac{24-3x}{4}[/tex] pounds if number of friends are x.
Hence, this is the required solution.
which of the following numbers in order from least to greatest?
A .20×10
B .20
c . 8.66
D . 8.66 ×10
Answers
Answer:
b.
a.
c.
d.
Step-by-step explanation:
a .20x10=2.00
b .20
c 8.66
d 86.6
Answer:
B
A
C
D
Step-by-step explanation:
This are from the lowest to greatest.
Someone please answer its due by midnight
Answers
Answer:
Look below :)
Step-by-step explanation:
1. coefficient
2. constant (it's referred to as a constant because the value never changes)
3. This polynomial has 4 terms. We know this by counting them. 5x^3 is one term, -x^2 is the second term, 5x is the third term, and -8 is the fourth term.
4. In descending order: 2, 1, 3, 4. The degree is the same value as the exponent. For the last term, x^2y^2, you add the values of the exponents together to get the degree.
5. -2 is the coefficient. The term with the third degree, or has 3 as the exponent, is -2x^3.
6. 1 is the coefficient. The term with the second degree is x^2. When the coefficient is 1, usually the 1 isn't written because any number multiplied by 1 equals that number (x * 1 = x)
7. 5 is the degree of the polynomial. To find the degree of a polynomial, find whichever term has the highest value for an exponent. In this case, 5 is the highest exponent.
8. 2 is the degree of this polynomial. Although none of the terms may look like they have a degree of 2, in order to find the actual degree of 4xy you have to add the values of the degree of x and y to find the actual degree. If x and y both have a degree of 1, you add those together to make 2.
9. 2[tex]x^{3}[/tex] - 7[tex]x^{2}[/tex] + 5x - 15. To order a polynomial from highest to lowest you have to order the terms in decreasing value of their exponents.
10. -4[tex]x^{3} y[/tex] + 2xy + 5x + 7.
I hope this helps :)
Which of the following
relations is a function?
{(-2, 3), (4, 1), (0, 0), (-2, 2)}
{(1, 1), (2, 2), (1, 2), (2, 1)}
{(2,3), (3, 2), (6, 3), (3, 6)}
{(6,5), (5, 6), (3, 1), (1,3)}
Answers
Answer:
D
Step-by-step explanation:
6. 6
5. 5
3. 3
1. 1
1 output for each input
Determine the equation of the graph with the coordinates of (4, -1)
O y = (x-4)2 - 1
O y=(x + 4)2 + 1
O y = (x + 4)2 - 1
O y = (x - 4)2 + 1
Answers
Answer:
The required equation of the graph with the coordinates of (4, -1) will be:
[tex]y=\left(x-4\right)^2-1[/tex]The graph is also attached.
Step-by-step explanation:
Given the coordinates (4, -1)
If we put the coordinate values (4, -1) in the given equations, we determine that only [tex]y=\left(x-4\right)^2-1[/tex] is the valid equation as it satisfies the given coordinate value.
For example, putting (4, -1) in the equation
[tex]y=\left(x-4\right)^2-1[/tex]
[tex]\left(-1\right)=\left(4-4\right)^2-1[/tex]
[tex]-1=\left(0\right)^2-1[/tex]
[tex]-1=0-1[/tex]
[tex]-1=-1[/tex]
So, the equation [tex]y=\left(x-4\right)^2-1[/tex] is true for the coordinate values (4, -1).
Therefore, the required equation of the graph with the coordinates of (4, -1) will be:
[tex]y=\left(x-4\right)^2-1[/tex]Please check, the graph is also attached.
Whích best describes the range of the function f(x) = } 6)* after it has been reflected over the x-axis?
all real numbers
all real numbers less than 0
all real numbers greater than 0
O all real numbers less than or equal to 0
Answers
Answer:
c
Step-by-step explanation:
im right i took the test
y varies inversely with x if y = 7 when x =-4, find y when x = 5
Answers
Answer:
y = - [tex]\frac{28}{5}[/tex]
Step-by-step explanation:
Given y varies inversely with x then the equation relating them is
y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation
To find k use the condition y = 7 when x = - 4, then
7 = [tex]\frac{k}{-4}[/tex] ( multiply both sides by - 4 )
- 28 = k
y = [tex]\frac{-28}{x}[/tex] ← equation of variation
When x = 5 , then
y = [tex]\frac{-28}{5}[/tex] = - [tex]\frac{28}{5}[/tex]
I have 10 minutes left someone help
Answers
Answer: there is no question. Its empty
Step-by-step explanation:
Answer:
with what
Step-by-step explanation:
Is the equation y=2x-2 is proportional or non-proportional?
Answers
Answer:
i believe their proportional
Step-by-step explanation:
cause they have a linear function
Thomas earns extra money babysitting. He charges 45.50 for 5 hours and 72.80 for 8 hours. How much will thomas charge for 3 hours.
Answers
You take $45.50 and divide it by 5 to get the charge of one hour then times it by three.
You can also do $72.80 divided by 8 to get the charge of one hour, then times it by 3.
A sporting goods store has a sale on soccer balls: if you buy two soccer balls at the regular price, you get a third soccer ball for $1. Coach John bought 24 identical soccer balls during this sale for $136. What is the regular price for one of these soccer balls?
Answers
Answer:
The regular price of the balls is $8
Step-by-step explanation:
The sporting goods store sales promotion is as follows;
The price of the third ball after buying two balls at regular price = $1.00
The price of the number of balls Coach John pays for the balls he bought = $136
To buy 24 balls, we have;
2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1
Therefore;
The number of balls bought at regular price = The sum of the 2s = 16 balls
The number of balls bought for $1 = 24 - 16 = 8 balls
Let x represent the regular price of the balls, we have;
16 × x + 8 = 136
16·x = 138 - 8 = 128
x = 128/16 = 8
The regular price of the balls = x = $8.
Two rectangular picture frames have the same area of 45 square inches but have different side lengths. Frame A has a length of 6 3/4 inches, and Frame B has a length of 7 1/2 inches.
Answers
Answer:
frame b because it takes up more room than the other some it forces the other to be smaller
Step-by-step explanation:
Answer:
Step-by-step explanation
It is Frame B trust me it is bigger.
A minimum temperature of -4.44°C was recorded at a lake. A minimum temprature of 23.3°C was recorded later on the same day. Determine the difference between these minimum and maximum temperatures.
Answers
Answer:
27.74 is the difference
Step-by-step explanation:
23.3° C - (-4.44° C)
23.3 + 4.44
27.74
find a factor of 5x^2+ 27x - 56
Answers
A ceramic sugar bowl weighs 340 grams when empty. It is then filled with sugar. One tablespoon of sugar weighs 12.5 grams. When the sugar bowl is full, it weighs 740 grams. How many tablespoons of sugar can the bowl hold? Show your reasoning.
Answers
Plzzzzzzzzzzz help im dumb
Answers
Answer:
C I did the test sorry if im wrong
Step-by-step explanation:
<3 Goodluck
Write the equation of the line in standard form
y
5
3
2
1
X
1
4
2
5
3
-1
-5
-4
-3
-2
-2-
-3
Answers
Answer:
(5,1)
(3,4)
(2,2)
(1,5)