Answer:
The equation of the tangent line passing through the point (-2,3) is
4 x + y +5 =0
Step-by-step explanation:
Step(i):-
Given that the slope of the tangent
[tex]m = \frac{dy}{dx} = x(y-1)[/tex]
m = -2( 3-1) = -4
Given point x = -2
y = f(-2) =3
∴The given point ( x₁ , y₁) = ( -2 ,3)
Step(ii):-
The equation of the tangent line passing through the point (-2,3)
[tex]y - y_{1} = m(x-x_{1} )[/tex]
[tex]y -3 = -4(x-(-2))[/tex]
y -3 = -4( x+2)
y-3 = -4x -8
4x + y -3+8=0
4x +y +5=0
Step(iii):-
The equation of the tangent line passing through the point (-2,3) is
4 x + y +5 =0
write a story problem that can be represented with the following equation:
7.5x + 15 = 30
Answer:
I went to a concert with my friends and every ticket costs $7.50 and I also had to pay a fee of $15.
I dentify the translation the orange triangle a is the pre-image the pre-image moved ___ until horizontally to form the purple triangle b the pre-image moved ___ until vertically units vertically to form the green triangle
Answer:
The pre-image moved 5 units horizontally to form the purple triangle, B.
The pre-image moved 4 units vertically to form the green triangle, C.
Step-by-step explanation:
Write an equation in slope-intercept form of the line that passes through (-2, 5) and (-4, — 5).
y =
HELPPP PLZ
Find the value of x.
A
28
20
B
9x – 8
С
Answer:
The question is incorrect. please provide a diagram.
if it takes 7 hours to mow 4 lawns st the rate how many lawns could be mowed in 35 hours
Answer:
Lets do 7 times 5. This is 35. That means we will be multiplying 5 by 4 to get 20, so 20 lawns in 35 hous\rrse
Step-by-step explanation:
A man has 33 coins in his pocket, all of which are dimes and quarters. If the total value of his change is 630 cents, how many dimes and how many quarters does he have?
Answer:
20 quarters and 13 dimes
Step-by-step explanation:
20 x 25 = 500
13 x 10 = 130
550 + 130 = 630
Luis and Arnold did their own car wash during the weekends this past Summer. They made a total of $1,200 together. They decided they were going to invest their money. So they invested in stocks for Tesla. The interest they are making is at 12%. How much money would they earn after 7 years?
Step-by-step explanation:
Amount they will earn=Principal+Interest
Interest=$1200×0.12×7=$1008
Amount=$(1200+1008)=$2208
Please help me with the question below.
Answer:
Alicia is correct
Step-by-step explanation:
The triangles are similar, then ratios of corresponding sides are equal, that is
left triangle to right triangle gives
[tex]\frac{r}{k}[/tex] = [tex]\frac{s}{m}[/tex]
Thus Alicia is correct. Jason has the incorrect sides on the second ratio
Matthew has already baked 7 cakes, and he can bake 1 cake with each additional stick of
butter he buys. How many additional sticks of butter does Matthew need in order to bake a
total of 31 cakes?
Answer:
24
Step-by-step explanation:
3(5+4y)+8-2y how to do this plz
Answer:
[tex]3\left(5+4y\right)+8-2y=10y+23[/tex]
Step-by-step explanation:
Given
As the expression is given by
[tex]3(5+4y)+8-2y[/tex]
To determine
Simplify the expression
Let us simplify the expression
[tex]3(5+4y)+8-2y[/tex]
Expand 3(5 + 4y) = 15 + 12y
[tex]3\left(5+4y\right)+8-2y=15+12y+8-2y[/tex]
grouping like terms
[tex]=12y-2y+15+8[/tex]
[tex]=10y+23[/tex]
Therefore,
[tex]3\left(5+4y\right)+8-2y=10y+23[/tex]
An urn contains three red marbles and four blue marbles. One marble is selected at random, its color is noted, and it is returned to the urn.
Another marble is then selected. What is the probability that the second marble drawn is red?
A.1/2
b:1/7
c:2/7
d:3/7
Answer:
i hope my answer help You
Step-by-step explanation:
the answe is d:3/7
SOMEONE PLEASE HELP ME WITH THIS ILL GIVE YOU BRAINLY IF U GET IT RIGHT !!!!
PLEASE HELP!! I’ve been stuck on this problem for a while!!!!!!!!!!
Answer:
What are the options?
Step-by-step explanation:
I'll do it once it the options
(−3p2+5p−2)+(−p2−8p−15)=
Answer:
Step-by-step explanation:
When you distribute a positive sign to a parentheses, you essentially change nothing. So, you can drop all of the parentheses for this entire equation. Now combine like terms.
[tex]-4p^2-3p-17[/tex]
or
[tex]-1(4p^2+3p+17)[/tex]
a line that includes the point (5, 1)and has a slope of 1
A suit is on sale for $336, which is 36% less than the regular price.
What is the regular price?
Answer:
I think 456.96
Step-by-step explanation:
guys can u help me im cunfused
Answer:
2k
Step-by-step explanation:
-k + 3k = 2k
Combine the radicals
Determine the value of x for the following isosceles triangle.
Given :
▪︎This triangle is an isosceles triangle.
▪︎Measure of one of its legs = 6 inches
▪︎Measure of its equivalent leg [tex] = \tt \frac{x}{9} [/tex] inches
▪︎Measure of its base [tex] = \tt \frac{5}{2} [/tex] inches
Which means :
[tex] =\tt 6 = \frac{x}{9} [/tex]
[tex] =\tt \frac{6}{1} = \frac{x}{9} [/tex]
[tex] =\tt 6 \times 9 = x \times 1[/tex]
[tex]\hookrightarrow\color{plum}\tt 54 = x[/tex]
Let us check whether or not we have found out the correct value of x by placing 54 in the place of x :
[tex] =\tt 6 = \frac{54}{9} [/tex]
[tex] = \tt6 = 6[/tex]
Since the Left Hand Side of the equation is equivalent to the Right Hand Side of the equation, we can conclude that we have found out the correct value of x.
▪︎Therefore, the value of x = 54
Solve the proportional equation below: m+9/4=m+6/5
Answer:
0=−21/20
0Step-by-step explanation:
PLEASE HELP ME GUYS ITS URGENT!!!!
Answer: c
Step-by-step explanation:
The answer is c because it is equal to 1024
Answer:
C. [tex]4^{5}[/tex]
Step-by-step explanation:
How is triangle ABC being translated to triangle A'B'C'
Answer:
Both vertically and horizontally
Step-by-step explanation:
It moved down and to the side.
mr rolando sold the house and that at 10, 500,000.00 if he will receive 4% commansion, how much his commansion?
Given:
Mr. Rolando sold the house and that at 10,500,000.00.
Commission percent = 4%
To find:
The amount of commission.
Solution:
We have,
Commission percent = 4%
Commission = 4% of selling price of the house.
= [tex]\dfrac{4}{100}\times 10,500,000[/tex]
= [tex]4\times 105,000[/tex]
= [tex]420,000[/tex]
Therefore, the amount of commission is 420,000.
A line with a slope of
17
19
passes through the point (0, 18). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
The probability of a football team winning a game is three fifths. If they play 25 games in a season, how many games would you expect them to win?
Answer:
Step-by-step explanation: 3/5 of 25 is 15 so they will win 15 games
Lily was out at a restaurant for dinner when the bill came. She wanted to leave a tip of 19%. What number should she multiply the cost of the meal by to find the total plus tip in one step
Answer: she should multiply 0.19 to the original price and then add that to the total cost before the tip and there is your answer.
Step-by-step explanation:
1. - 9 - 28 = -9+
Need answers
How high is a stack of b books?
Answer:
1.4
Step-by-step explanation:
A cyclist rode 2.75 miles in 0.4 hours.How fast was she going in miles per hour.At this rate, how long will it take her to go 5.5 miles?
Answer:
Its 12.5 miles per hour.
Step-by-step explanation:
Distance covered by cyclist=3.75 miles. Time =0.3 hours. Speed =3.75÷0.3=12.5
Marsha swam 400 meters in 6
minutes and 12 seconds. Convert that time to minutes.
Answer:
6 minetes? how does this work?
Step-by-step explanation: