Question 3 of 10
The slope of the line below is 4. Which of the following is the point-siope form
of the line?
A. y- 4 = 4(x-3)
B. y+ 4 = 4(x + 3)
C. y+ 4 = 4(x+3)
Dy-4--4(x-3)
Answers
Answer:
The point-slope form of the line is:
[tex]y + 4 = 4(x+3)[/tex]
Hence, option B is correct.
Step-by-step explanation:
We know the point-slope form of the line equation is
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where
m is the slope of the line(x₁, y₁) is the pointGiven
The slope m = 4
From the graph, we can take the point (-3, -4)
So, in our case:
(x₁, y₁) = (-3, -4)
m = 4
now substituting m = 4 and (x₁, y₁) = (-3, -4) in the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y - (-4) = 4(x - (-3))[/tex]
[tex]y + 4 = 4(x+3)[/tex]
Therefore, the point-slope form of the line is:
[tex]y + 4 = 4(x+3)[/tex]
Hence, option B is correct.
The graph of the line is also attached.
Related Questions
.6(5 + 4) = 30 +____=_____
Answers
Answer:
30 + 24 = 54
Step-by-step explanation:
On a trip to Washington, D.C., you and your friend are standing next to the Washington Monument. Your friend wants to buy a guide book to find out how tall the Washington Monument is, but will use the money to buy a snack to share instead if you can figure it out. If you know your own height, what two additional measurements must you know to solve the problem?(1 point)
the length of the shadow cast by the Washington Monument and the length of the shadow cast by the Lincoln Memorial
the length of your shadow and the length of your friend’s shadow
the length of your shadow and the length of the shadow cast by the Washington Monument
the length of your friend’s shadow and the length of the shadow cast by the Washington Monument
If a 30-foot tree casts an 18-foot shadow, find the length of the shadow cast by a 24-foot tree. (1 point)
14.4 feet
432 feet
22.5 feet
40 feet
In △ABC, m∠A=42°, m∠B=50°, AB=4, and AC=3. In △XYZ, m∠X=42°, m∠Z=88°, XY=14, and YZ=9.5. Find the measures of BC¯¯¯¯¯¯¯¯ and XZ¯¯¯¯¯¯¯¯. Round to one decimal place.(1 point)
BC=2, XZ=7.1
BC=2, XZ=10.5
BC=2.7, XZ=7.1
BC=2.7, XZ=10.5
Answers
Answer:
1) the length of your shadow and the length of the shadow cast by the Washington Monument
2) 14.4 feet
3) BC=2.7, XZ=10.5
Step-by-step explanation:
just too the quiz
Answer:
1: The length of your shadow and the length of the shadow cast by the Washington Monument
2: 14.4
3: Yes, the triangles are similar.
/\ PSQ~/\RST
4: The solution for the value of x is incorrect because the proportion does use the ratios of corresponding sides
5:
Step-by-step explanation:
Can someone please help me. WILL MARK U BRAINLIEST !!
Answers
Answer: I think b
Step-by-step explanation: If i get it wrong im terribly sorry plz forgive if it's wrong
D.
It intercepts y at f(0)=6, it has exponential growth, that is, function is continously increasing.
Hope this helps.
in the year 2001, a company made 7.7 million dollars in profit. For each consecutive year after that, their profit increased by 7%. How much would the company's profit be in the year 2004, to the nearest tenth of a million dollars?
Answers
Answer:
3.5 billions
Step-by-step explanation:
(X^1/8 y^1/4 z^1/2)^8
Answers
(8 √x 4 √y √z^8)
(8 √x 8 √y^2 8 √z^4)^8
8 √xy^2z^4^8
Solution: xy^2 z^4
can some one help me please
Answers
A Cylinder has a radius of 10 feet and a height of 11.4 feet what is the approximate volume of the cylinder?
Answers
Answer:
3579.6 [tex]ft^{3}[/tex]
Step-by-step explanation:
First, write out the equation used to find the volume of a cylinder and place the values in place of the variables. The equation is [tex]\pi[/tex][tex]r^{2}[/tex]*h where r is the radius and h is the height. When we place the values of the variables into the equation we get: [tex]\pi[/tex][tex]10^{2}[/tex]*11.4. Next, square 10 to get 100. This would give you 3.14*100*11.4. When you multiply this together you get 314 times 11.4 which gives you 3579.6 ft cubed.
I believe it's 3581.42 (if the answer needs be rounded to 2 decimal places.
Step-by-step explanation:
area of circle = r×r×π
area of circle × height = volume
10 × 10 × π = 314.16
314.16 × 11.4 = 3581.42
Solve algebraically the simultaneous equations
x^2+y^2=25
y-3x=13
Answers
Answer:
In the form of (x,y) there are 2 solutions:
(-3,4)
(-24/5, -7/5)
Step-by-step explanation:
First isolate one of the letters (for me I'm using the y of equation 2 because it's easier to solve)
[tex]y-3x=13\\y=13+3x[/tex]
Now that we have y isolated, substitute y in equation 1 with the equation we got previously (y=13+3x)
[tex]x^2+(13+3x)^2=25[/tex]
Now simplify:
[tex]x^2+(13+3x)^2=25\\x^2+9x^2+78x+169=25\\10x^2+78x+169=25[/tex]
Now turn the equation into ax^2+bx+c=0 form by transferring 25 to the other side of the equation:
[tex]10x^2+78x+169=25\\10x^2+78x+169-25=0\\10x^2+78x+144=0[/tex]
Using the quadratic formula we will have the 2 following values:
[tex]x=-3[/tex]
[tex]x=-\frac{24}{5}[/tex]
Substitute the following values into any equation you want (this time I'll pick equation 2 again since its the easiest to solve)
[tex]y-3x=13\\y-3(-3)=13\\y-(-9)=13\\y+9=13\\y=13-9\\y=4[/tex]
[tex]y-3x=13\\y-3(-\frac{24}{5})=13\\y-(-\frac{72}{5})=13\\y+\frac{72}{5}=13\\y=13-\frac{72}{5}\\y=-\frac{7}{5}[/tex]
If you flip the coin 96 times, how many heads?
Answers
48 heads because half of 96 is 48 and there should be 48 heads and 48 tails.
PLEASE HELP BEEN STUCK FOREVER!!!!!!!!!!!!
INCLUDE STEPS
Answers
Answer:
6.9
Step-by-step explanation:
Arc Length Formula: 2rπdata/360
First find data:
In this case, data is the length of arc AB
Arc AB is the central angle: 165 degrees
Substitute radius and data into the formula
2(2.40)(165)π/360
This form(792/360π) is not acceptable since the question is asking for the answer in decimal form. Multiply pi.
Make sure to use the pi symbol, not 3.14.
792/360π
6.91 to the nearest tenth is 6.9
Hope this helps!
Calculate the area and perimeter of the polygon.
Answers
Answer:
a) P = 24.2 units
b) A = 13.9 square units
Step-by-step explanation:
Perimeter = [tex]\sqrt{10}[/tex]+[tex]\sqrt{10}[/tex] + 4[tex]\sqrt{5}[/tex] + 4[tex]\sqrt{5}[/tex]
P = 2[tex]\sqrt{10}[/tex] + 8[tex]\sqrt{5}[/tex] which is approx 24.2 units
To find area you must find the height which can be done using the Pythagorean Theorem (we can do this for the small triangle on the left):
([tex]\sqrt{5}[/tex]²) + h² = ([tex]\sqrt{10}[/tex]²)
5 + h² = 10
h² = 5
h = [tex]\sqrt{5}[/tex]
A = bh
A = [tex]\sqrt{5}[/tex] (4 + [tex]\sqrt{5}[/tex])
A = 4[tex]\sqrt{5}[/tex] + 5 which is approx 13.9 square units
Students drop a 2 kg object from rest out a window that has a
height of 10 m during a lab experiment. The students time the
object to hit the ground and measure 1.2 s. Calculate the
difference between the PE at the top and the KE at the bottom.
a. greater than 75 J
b. less than 25 J
c. between 25 J & 50 J
d. between 50 J & 75 J
Answers
Answer:
a. greater than 75 J
Step-by-step explanation:
Potential Energy at the top = mgh
Mass m = 2kg
g = 9.8m/s^2
height h = 10m
Potential Energy at the top = 2 * 10 * 9.8
Potential Energy at the top = 196Joules
The object is not moving at the bottom, hence the KE of the body at the bottom is 0Joules
difference between the PE at the top and the KE at the bottom = 196 - 0 = 196Joules
Hence the difference between the PE at the top and the KE at the bottom is greater than 75Joules
The table shows the coordinates of trapezoid ABCD and trapezoid A'B'C'D' after a transformation.
What are the coordinates of point C?
Answers
Answer:
3,4
Step-by-step explanation:
I need help pleaseeeee
Answers
Answer:
the answer is -
Step-by-step explanation:
Answer:
This Looks liKe the rise is -10 and the run is 10
PLEASE HURRYYY!!!
M(2, 4) is the midpoint of segment AB. (7,9) are the coordinate for the endpoint B. What is
the length of AB?
Answers
Answe
Step-by-step explanation:
Find the inverse of y = In2x.
Answers
Step-by-step explanation:
y=2x
interchanging the role of x andy
x=2y
y=x/2
:.inverse of y=2xis y=x/2
Which answer choice 10 points
Answers
Answer:
Step-by-step explanation:
Hope this helps and i DID NOT use a Calculator!
Determine whether the relation represents a function. Explain your reasoning.
(-2,0), (-1,0), (-1,1), (0,1), (1, 2), (2,2)
Answers
CAN ANYONE HELP MY GRADES ARE KINDA LOW AND I NEED TO SLOVE THIS SO I CAN BOOST UP MY GRADES
Output
A
Input
1
3
5
Output
Blue
Input
1
2
3
Black
Output
Input
A
к
Q
Output
Heart
Diamond
Club
Input
N
E
s
w
E
Spade
w
Answers
Answer:
if the input has more than one arrow coming from it that whole table is not a function but if it only has one its a function
Step-by-step explanation:
u can only have one arrow from input for it to work as a function but if theres mutiple arrows from the output its still a function
FREE BRAINLIEST IF YOU ANSWER CORRECTLY!! (50pts)
Answers
Answer:
it is 10
Step-by-step explanation:
Answer:
ya its 10
Step-by-step explanation:
Which of the following absolute-value inequality corresponds to -2< X < 4?
Answers
Answer:
-2 is the biggest number because in the negatives the bigger number us always the smaller one.
Below is the number of service calls a store received over a period of 87 days.
To graph the information into a frequency table, which interval below would be the most appropriate?
A. 1
B. 2
C. 4
D. 10
Answers
the answer is 4 than me later
Answer:
answerbis 4
Step-by-step explanation:
Liz ran 4/5
km on Monday and 5/6 km on Tuesday. Select the true statement about the distance Liz ran.
Choose 1 answer
A:
Both fractions are almost 1 whole.
B:
One fraction is about 1/2 and the other is less than 1/2
Select the best estimate for the combined distance Liz ran Monday and Tuesday.
Choose 1 answer:
1/2 km
1 km
2 km
Answers
part b. the fraction combined is 49/30 which is 1 19/30 so 2km im goin with
25. Determine the slope for (10,-2) and (1, 1).
Answers
Answer:
m=[tex]\frac{-1}{3}[/tex]
Step-by-step explanation:
1.
Real, Imaginary, and Complex: Create a Graph
[suggested time: 5 minutes]
A. In the middle of your page, draw a real number line, labeling integer values from - 10 to 10. Also plot %, - %s,p, 2p, and e.
B. Vertically through o, draw an imaginary number line, labeling i 21, 31,..., 101, above and -1, -21.....-101 below. You should now have a familiar Cartesian coordinate
plane, labeled in a somewhat new way.
Answers
Answer: A is the answer
Step-by-step explanation:
Answer:
Step-by-step explanation:
A. In the middle of your page, draw a real number line, labeling integer values from - 10 to 10. Also plot %, - %s,p, 2p, and e.
Determine whether each equation is true or false.
True
False
32 = 2 x 2 x 2
53 = 15
81 = 71
If answer i will make brainliest
Answers
Answer:
1=false 2= false and 3= false
Step-by-step explanation:
4. What should be added to 13.652 to get 18.9064?
5. What should be subtracted from 30 to get 19.835?
Answers
5.)10.165
Hope this helps
Have a great day/night
Feel free to ask any questions
I need help please its for math and i put my screenshot under
Answers
Answer:
choice 2, y=1/4x
Step-by-step explanation:
If the sum of the measures of ∠H and ∠J is 76∘ , what is the measure of ∠I ?
Answers
Answer: HKJ = 100
Step-by-step explanation
In this problem we need to use the property of a inscribed angle:
The inscribed angle is a point in the circle that has endpoints also in the circle. The value of the inscribed angle is half the value of the arc formed by the endpoints.
So, If the arc FJ is 84°, we have that the angle in point G isi 84/2 = 42°
1890 meters into feet
Answers
Answer:
6200.787
Step-by-step explanation:
Answer:
6200.787
Step-by-step explanation
Please mark me brainliest