Write the equation of a line with a slope of 4 that passes through the point (-3,5) in slope intercept form
What is the equation
Answer:
[tex]y = 4x+17[/tex]
Step-by-step explanation:
1) First, write the equation of the line in point-slope form. From there, we can convert it to slope-intercept form. Use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] and substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex].
[tex]m[/tex] represents the x and y values of one point the line intersects, so substitute 4 in its place. [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line intersects, so substitute -3 for [tex]x_1[/tex] and 5 for [tex]y_1[/tex]. This gives the following equation in point-slope form:
[tex]y-5 = 4(x+3)[/tex]
2) Now, put it in [tex]y =mx + b[/tex] format, or slope-intercept form by isolating the y:
[tex]y-5 = 4(x+3)\\y-5 = 4x + 12\\y = 4x+17[/tex]
The equation of a line with a slope of 4 that passes through the point (-3,5) in slope intercept form is,y=4x+17.
What is the slope?A numerical assessment of a line's angle relative to the ground is known as the slope.
The inclination of any line, ray, or line segment is the fraction of the perpendicular to the horizontal distance between any two positions on it.
The line's equation in point-slope form is;
y = mx+c
We may then transform it to a slope-intercept form. Substitute values in the point-slope formula as;
y-y₁=m(x-x₁)
y-5=4(x-(-3)
y-5=4(x+3)
y--5=4x+12
y-4x+17
Hence,the equation of a line with a slope of 4 that passes through the point (-3,5) in slope intercept form is,y=4x+17.
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Express log6 (15) in terms of common logarithms *no file answers*
17. You sell large and small pictures at a fair. You sell a total of 16 pictures and made a total of
$350. If large pictures sell for $25 and small pictures sell for $20. How many of each did you
sell?
(33x3+6x-9)+(-33x3+9x2-10)
Answer:
9x² + 6x -19
Step-by-step explanation:
= 33x³ + 6x - 9 - 33x³ + 9x² -10
= 33x³ - 33x³ + 9x² + 6x -10 -9
= 9x² + 6x -19
Multiply. 42.9 × 3.45
Answer:
42.9 x 3.45 = 148.005 exactly or 148 rounded
Answer:
Hi! The answer to your question is 148.005
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☁Brainliest is greatly appreciated!☁
Hope this helps!!
- Brooklynn Deka
Anyone know the answer to this question?
Answer:
[tex]c \: is \: correct \\ {( x - 7)}^{2} + {(y + 1) }^{2} = 41[/tex]
(Will dive brainly!! please!!)
The Steven's family owns a house worth $280,000, of which they still owe $113,545 on the mortgage. They also own two cars, one worth $5,200 and the other worth $15,600. They still owe $9,200 on one of the car loans. They have $2,300 in credit card debt and owe $18,200 for their daughter's wedding. What is their net worth?
A) $157,555
B) $162,155
C) $300,800
D) $143,245
9514 1404 393
Answer:
A) $157,555
Step-by-step explanation:
The sum of assets is ...
house + 2 cars = $280,000 +5,200 +15,600 = $300,800
The sum of liabilities is ...
mortgage +car loan +credit card +wedding
= $113,545 +9,200 +2,300 +18,200 = $143,245
The family's net worth is the difference between assets and liabilities:
$300,800 -143,245 = $157,555
3 m
150°
3. What is the area of the sector outlined by the dark line?
a. 150 m
b. 28.3 m
c. 11.8 m²
d. 3 m
Answer:
Area of sector = 11.8 m² (Approx.)
Step-by-step explanation:
Given:
Radius of a circle = 3 m
Given angle = 150°
Find:
Area of sector
Computation:
Area of sector = [θ/360][π][r]²
Area of sector = [150/360][22/7][3]²
Area of sector = [150/360][22/7][9]
Area of sector = [150/360][3.1428][9]
Area of sector = [0.4167][3.1428][9]
Area of sector = [1.345][9]
Area of sector = 11.789
Area of sector = 11.8 m² (Approx.)
Janice has final exams in Algebra 1 and Biology on Friday. She has up to 12 hours to study for the
exams and her mom said she must spend more time on Algebra (a) than Biology (b). Which of the
following constraints can be used to represent this situation?
Answer:
5555
Step-by-step explanation:
WILL GIVE BRAINLEIST TO WHOEVER SOLVES THIS THANK YOU.
Answer:
5749234
Step-by-step explanation:
Answer:A squre = c square = B square
Step-by-step explanation:
Give me Brainleist plz
Surface area formula
of a parallelogram prism
A round balloon has a diameter of 7 inches
Which of the following is closest to the number of
cubic inches of air can it hold?
A) 181 in
B) 189 in
C) 196 in
D) 208 in
E) 210 in
None of the above
+3
Answer:
The right answer is approximately 210.031 cubic inches. (Answer: E)
Step-by-step explanation:
First, we need to convert the diameter ([tex]D[/tex]), in inches, of the round balloon to an entirely decimal mode:
[tex]D = 7\,in + \frac{3}{8}\,in[/tex]
[tex]D = \frac{56 + 3}{8}\,in[/tex]
[tex]D = \frac{59}{8}\,in[/tex]
[tex]D \approx 7.375\,in[/tex]
The volume of the balloon is modelled after the volume function of a sphere ([tex]V[/tex]), in cubic inches:
[tex]V = \frac{\pi}{6}\cdot D^{3}[/tex] (1)
If we know that [tex]D \approx 7.375\,in[/tex], then the volume of the round balloon is:
[tex]V = \frac{\pi}{6}\cdot D^{3}[/tex]
[tex]V = \frac{\pi}{6} \cdot (7.375\,in)^{3}[/tex]
[tex]V \approx 210.031\,in^{3}[/tex]
Hence, the right answer is approximately 210.031 cubic inches.
Evaluate The expression 3•2^t when t is 1
Answer:
6
Step-by-step explanation:
[tex]2^{1}[/tex] = 2
3 × 2 = 6
What is the probability of choosing a clubs or a numbered card from a deck of cards? Type your answer as a fraction.
Answer:
13/52
Step-by-step explanation:
Raffle tickets cost $36 for 3 tickets.
a. What is the price of 1 ticket?
The price of 1 raffle ticket is $12
because
[tex]36 \div 3 = 12[/tex]
Please someone help Im confused
Answer:
Third one
Step-by-step explanation:
;b
(X-1)(-5X+1)=0
lesser X=
Greater X=
Answer:
lesser x is -5x+1
Greater x is x-1
Please help im running out of time:(
One train is traveling 120 m with a velocity of 52 km/h and a
second train is traveling in the opposite direction with a
velocity of 20 km/h. How long will it take for them to
completely pass one another?
Answer: It took the train 11 s to completely pass the other.
11 seconds it takes for them to completely pass one another if one train is travelling 120 m with a velocity of 52 km/h.
What is distance?Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.
We have:
One train is travelling 120 m with a velocity of 52 km/h.
A second train is travelling in the opposite direction with a velocity of 20 km/h.
Here, the length of the second train is not given:
We are assuming the length is 100 m
Relative velocity = 52+20 = 72 km/h = 20 meter/seconds
Total distance: = 120 + 100 = 220 m
The time = 220/20 = 11 seconds
Thus, 11 seconds it takes for them to completely pass one another if one train is travelling 120 m with a velocity of 52 km/h.
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Julie made some hot chocolate by mixing 1 1/4 cups of milk with 1/2 tablespoons of cocoa. How many cups of milk Julie uses for 1 tablespoon of cocoa?
Answer:
2 2/4
Step-by-step explanation:
Since 1/2 of tablespoon of coca can make 1 1/4 cup of milk...
1 1/4 + 1 1/4 = 2 2/4
A set of data is normally distributed with a mean of 455 and a standard deviation of 25. What percent of the data is in the interval 405–455?
a.
47.5%
c.
68.3%
b.
49.85%
d.
34.15%
Answer:
a. 47.5%
Step-by-step explanation:
1. Find the z-score for 405: 405-455/25 = -2
2. Find the z-score for 455: 455-455/25 = 0
3. Using technology or a chart, find the percentage that corresponds with the z-scores: -2 = 0.0228 or 2.28%, AND 0 = 0.5000 or 50%
4. Find the difference between the percentages by subtracting them: 50% - 2.28% = 47.72%
5. Most of the time, the answers aren't exact, so since 47.72% is closest to 47.5%, I would say that's the answer.
Out of 140 students, 92 are taking an English course, 74 are taking a history course and 41 are taking both. Find the number of these 140 students who are taking a history course but not an English course?
Answer:18
Step-by-step explanation:
Answer:
33
Step-by-step explanation:
you have to subtract the number of people doing both from the number of people doing just the history.
Trigonometry
HELP ASAP !
Answer:
8.9
Step-by-step explanation:
X= Tan( 52 ) · 7
X= 8.959591425
Round to the nearest 10th or 100th
Choices ( below )
X= 8.9596
X= 8.9510
X= 8.96
X= 8.10
X= 9
I Hope this helped
Have a good day
Find the perimeter of this semi-circle with diameter, d = 52cm.
Answer:
Perimeter = 133.681 cm
or 52.63 inches.
Step-by-step explanation:
"So, the perimeter of a semicircle is 1/2 (πd) + d or πr + 2r, where r is the radius."
let's use, πr + 2r
Diameter: 52
Radius: 26 (RAdius is half of the diameter)
πr + 2r (plug in)
pi x 26 + 2(26)
pi x 26 + 52
= 133.681 cm
or
= 52.63
-4x+5>-5 solve the equation is it greater than or less than
Answer:
x>5/2
Step-by-step explanation:
-4x+5>-5
-4x>-10
4x>10
x>10/4
x>5/2
f(x) = 4.22 + 5x – 3
g(x) = 4x3 – 3x2 + 5
Find (f - g)(x)
Answer:
−4x^3+3x^2+5x−3.78
Step-by-step explanation:
:D
Calculate the standard deviation of X for the probability distribution. (Round your answer to two decimal places.)
x 0 1 2 3
P(X = x) 0.1 0.5 0.1 0.3
Answer:
The standard deviation of the probability distribution is 1.02.
Step-by-step explanation:
Standard deviation of the distribution:
Square root of the sum of the difference squared between each value and the mean multiplied by its probability.
Mean:
Each value multiplied by its probability. So
[tex]E(X) = 0*0.1 +1*0.5 + 2*0.1 + 3*0.3 = 1.6[/tex]
Standard deviation:
[tex]\sqrt{V(X)} = \sqrt{0.1*(0-1.6)^2 + 0.5*(1-1.6)^2 + 0.1*(2-1.6)^2 + 0.3*(3-1.6)^2} = 1.02[/tex]
The standard deviation of the probability distribution is 1.02.
ANSWER THE QUESTION FOR BRAINLIEST
What are the coordinates(real answers only please I can’t click on links)
Answer:
D (-9,3)
F (-5,-5)
Step-by-step explanation:
Will choose branliest
option three I’m so sorry if I’m wrong :heart:
(7.10; 7.15)
1. The diagram below shows a
parallelogram.
12 cm
28 cm
If the parallelogram were enlarged
using a scale factor of 3, the perimeter
of the enlarged parallelogram would
be
A 80 cm
B 120 cm
C 200 cm
D 240 cm
Answer:
We let x 1 = 13, y 1 = 8, x 2 = 9, y 2 = 6, x 3 = 4, y 3 = 2, x 4 = 8, y 4 = 4 and the area is given by The absolute value of the cross product of two vectors a →, b → ∈ R 3 spanning the parallelogram is its area:
Step-by-step explanation:
