There is not image we cannot see the picture
can smby help me plz ?!
Answer:
i need these points sorry
Step-by-step explanation:
write an equation for the line that passes through (-4,1) and (-8,6)
Answer:
[tex]y=- \frac{5}{4}x-4[/tex]
Step-by-step explanation:
1) if the A has coordinates (-4;1) and B - (-8;6), then it is possible to write the formula of the required line:
[tex]\frac{X-X_A}{X_A-X_B} =\frac{Y-Y_A}{Y_B-Y_A};[/tex]
2) if to substitute the coordinates given in the condition, then:
[tex]\frac{X+4}{-8+4} =\frac{Y-1}{6-1};[/tex]
3) finally, the required equation of the line is:
-4y=5x+16; ⇔y= -5/4 x-4 (slope-intersection form)
PS. note, the suggested solution is not the only one.
APPLICATION
3. Use the first principle of derivatives to determine the equation of tangent to the
curve y = 1/radical7x at
x = 5
Answer:
[tex]\displaystyle y - \frac{\sqrt{35}}{35} = \frac{-\sqrt{35}}{350}(x - 5)[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Coordinates (x, y)
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinatey₁ - y coordinatem - slopeAlgebra II
Exponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]Calculus
Derivatives
The definition of a derivative is the slope of the tangent line.Derivative Notation
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Chain Rule: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle y = \frac{1}{\sqrt{7x}} \\x = 5[/tex]
Step 2: Differentiate
[Function] Rewrite: [tex]\displaystyle y = \frac{1}{(7x)^\frac{1}{2}}[/tex][Function] Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle y = (7x)^{-\frac{1}{2}}[/tex][Derivative] Chain Rule [Function]: [tex]\displaystyle y' = \frac{-1}{2}(7x)^{-\frac{1}{2} - 1} \cdot \frac{d}{dx}[7x][/tex][Derivative] Simplify: [tex]\displaystyle y' = \frac{-1}{2}(7x)^{-\frac{3}{2}} \cdot \frac{d}{dx}[7x][/tex][Derivative] Basic Power Rule: [tex]\displaystyle y' = \frac{-1}{2}(7x)^{-\frac{3}{2}} \cdot 1 \cdot 7x^{1 - 1}[/tex][Derivative] Simplify: [tex]\displaystyle y' = \frac{-7}{2}(7x)^{-\frac{3}{2}}[/tex][Derivative] Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle y' = \frac{-7}{2(7x)^{\frac{3}{2}}}[/tex]Step 3: Find Slope of Tangent Line
Substitute in x [Derivative]: [tex]\displaystyle y'(5) = \frac{-7}{2[7(5)]^{\frac{3}{2}}}[/tex][Tangent Slope] [Brackets] Multiply: [tex]\displaystyle y'(5) = \frac{-7}{2[35]^{\frac{3}{2}}}[/tex][Tangent Slope] Evaluate exponents: [tex]\displaystyle y'(5) = \frac{-7}{2(35\sqrt{35})}[/tex][Tangent Slope] Multiply: [tex]\displaystyle y'(5) = \frac{-7}{70\sqrt{35}}[/tex][Tangent Slope] Simplify: [tex]\displaystyle y'(5) = \frac{-1}{10\sqrt{35}}[/tex][Tangent Slope] Rationalize: [tex]\displaystyle y'(5) = \frac{-\sqrt{35}}{350}[/tex]Step 4: Find Tangent Line Equation
Point (x, y)
Substitute in x [Function]: [tex]\displaystyle y(5) = \frac{1}{\sqrt{7(5)}}[/tex][Function] [√Radical] Multiply: [tex]\displaystyle y(5) = \frac{1}{\sqrt{35}}[/tex][Function] Rationalize: [tex]\displaystyle y(5) = \frac{\sqrt{35}}{35}[/tex]Define point: [tex]\displaystyle (5, \frac{\sqrt{35}}{35})[/tex]Equation
Substitute in variables [Point-Slope Form]: [tex]\displaystyle y - \frac{\sqrt{35}}{35} = \frac{-\sqrt{35}}{350}(x - 5)[/tex]Topic: AP Calculus AB/BC
Unit: Derivatives
Book: College Calculus 10e
How many kilometers are in 3 centimeters?
Answer:
0.00003km
....................
kilo means 1000
and centi means 1/100
Liza gets paid $5.25 an hour to babysit her little cousins. Last weekend, she watched them for three hours on Friday, nine hours on Saturday, and seven hours on Sunday. How much money does her aunt owe her for her babysitting services? A. $99.85 B. $99.75 C. $95.00 D. $63.00
Answer:
B. $99.75
Step-by-step explanation:
The expression is 5.25(3+9+7) which is 99.75
Answer:
c
Step-by-step explanation:
A certain standardized tests math scores have a bell-shaped distribution with a mean of 530 and a standard deviation of 105. Complete part (a) through (c). (a) what percentage of standardized test scores is between 215 and 845. (b) what percentage of standardized test scores is less than 215 or greater than 845. (c) what percentage of standardized test scores is greater than 740.
please help!!!!!! i will also give
Answer:
22. 108 cm²
23. 100 cm²
Step-by-step explanation:
The area of a trapazoid is:
A = (a+b)/2 (h)
input the values:
22. (6+12)/2 (6)
23. (7+18)/2 (4)
Hope this helped :)
I need the answers ASAP •_•
Answer:
17) vertical
18) vertical
19) vertical
20) adjacent
(11x^2+5y^2-8xy)+(x^2-7y^2+4x)
Answer:
4x2 - 3xy - 9y2
Step-by-step explanation:
A hat costs x dollars and you can use the expression x -0.20x to find the cost of the hat
with a 20% discount. What is another expression that would represent the cost of the
hat after the discount?
Write an equivalent
expression for
7(3 – X) + 15x
Answer:
21+8x
Step-by-step explanation:
7(3 – X) + 15x
21-7x+15x
21(-7x+15x)
21+8x
Answer:
-7x+15x+21
Step-by-step explanation:
Which expression is equivalent to-6(-2/3+2x)
A.-4-12x
B.- 4+2x
C. 4-12x
D. 4 + 12x
Answer:
4-12x
Step-by-step explanation:
-6(-2/3 + 2x)
Expand the bracket
12/3 - 12x
4 - 12x
Answer:
The Answer is C
Solve the system of equations.
9x - 3y = 12
y = 3x - 4
Answer:
Infinite solutions
Step-by-step explanation:
if you simplify, both equations are equal which means it can have infinite values
A stick was broken into two pieces. The length of the first piece is 28 cm more than the second piece. The total length of the two pieces is 56 cm. Find the length of the first piece.
Which statement describes this pair of congruent triangles?
H and N are congruent because they are both 58 degrees,
J and L are congruent because they are both 62 degrees,
and K and M are congruent because they are both 60 degrees.
Therefore triangle HJK is congruent to triangle NLM.
Answer:
The answer is C
Step-by-step explanation:
Kause i said so
HELPPPP PLEASE ANSWER THIS CORRECTLY AND U WILL GET BRAINLIEST WHAT IS THE SOLUTION TO THIS PROBLEM
Answer:
The other equation should be y= -5/3x +3 comment
if you have any questions
Step-by-step explanation:
Brainliest?!?!?
Answer:
Step-by-step explanation: ok so if 5x + 3y =9
then you have to subtract 3-x15= and then you will get your answer
The measures of two complementary angles are described by the expression(13y+12) and (20y+12). Find the measures of angles
Step-by-step explanation:
complementary angles means that both of them together = 90
13y +12 + 20y + 12 = 90
add all y together and numbers together
33y + 24 = 90
solve for y
33y= 66. y= 2
now let's get the measurements of the angles
13(2) + 12= 38
20(2) + 12= 52
Roger made a table showing how he spent his time in one day. How many days
will go by before Rodger has slept the equivalent of one day. Explain how you found your answer!
Data:
work : 1/3 day
sleep : 3/8 day
meals: 1/8 day
computer : 1/6 day
PLSSS.... Answer must be whole #
Answer:
Roger will have to sleep 2.667 days.
Step-by-step explanation:
If Roger sleeps 3 / 8 of a day in one day.
Then for Roger to sleep the equivalent of one day he will have to sleep
=
solve this system using elimination. 3x - 4y = -5, -10x + 4 = 12
Answer:
x = -4/5, y = 13/20
Step-by-step explanation:
-10x + 4 = 12
-10x = 8
x = -4/5
3x - 4y = -5
3(-4/5) - 4y = -5
-12/5 - 4y = -5
-4y = -13/5
y = 13/20
Double check:
3x - 4y = -5
3(-4/5) - 4(13/20) = -5
-12/5 - 13 = -5 (true)
the point u(3 , -4) is reflected over the x -axis what are the coordinates of the resulting point , u'?
Answer:
Please find attached pdf
Step-by-step explanation:
Two forces with magnitudes 300 pounds and 450 pounds, with an angle of 60° between them, act upon an object. What is the approximate magnitude of the resultant force?
The resultant force in the example presented is approximately 774 pounds.
What is magnitude?The magnitude or size of a mathematical item defines whether it is larger or smaller than other objects of the same kind in mathematics.
Formally speaking, the size of an object is the visible outcome of an ordering—of the class of objects to which it belongs.
Consider the following scenario: the force is 10 N in the east.
The direction is indicated by "towards the east," while the force is indicated by "10."
Magnitude can be thought of as simply the "value" or "amount" of any physical quantity.
So, an object is under the influence of two forces with respective magnitudes of 300 pounds and 450 pounds and an angle of 60 degrees between them.
F₁=300 pounds, F₂=450 pounds and θ=60°
Fr=√300²+450²+2×300×450×cos60°
= √90000+502500+13500×0.5
= √90000+502500+6750
= √599250
= 774 pounds
Therefore, the resultant force in the example presented is approximately 774 pounds.
Know more about magnitude here:
https://brainly.com/question/24468862
#SPJ1
Answer: C. 653.91 pounds.
Step-by-step explanation:
1. If AABD - AHGE and AC and HF are angle
bisectors, find x.
B
G
F
24
. م
X
35
E
14
H
Answer:
9.6
Step-by-step explanation:
Find the diagram attached. Using the similarity theorem of triangles
AC/AD = FH/EH
Given
AC = 24
AD = 35
FH = x
EH = 14
Substitute into the formula
24/35 = x/14
Cross multiply
35×x = 24×14
35x = 336
x = 336/35
x = 9.6
Hence the value of x is 9.6
Write the ratio men to women in its simplest form
Answer:
7:8
Step-by-step explanation:
men: women
70:80
7:8
Answer:
7 : 8
Step-by-step explanation:
Total number of adults in the survey = 150
Number of women = 80
Number of men = 150 - 80
= 70
Ratio of men : women = 70 : 80
= 70 /80
= 7 / 8
= 7 : 8
Hope it helps :)
Please mark my answer as the brainliest
Plz answer correctly
Answer:
[tex]7[/tex]
Step-by-step explanation:
This means that there are 20 terms in between 11 and 31
[tex]31-11=20[/tex]
Since we know that the [tex]11th[/tex] term is [tex]29[/tex] and the [tex]31st[/tex] term is [tex]169[/tex], you can subtract the two to find out the values in between
[tex]169-29=140[/tex]
Now all we have to do is divide the values in between by the number of terms to find the common difference.
[tex]\frac{140}{20} =7[/tex]
Therefore the common difference is [tex]7[/tex]
Aight come on i need the answer to this question
Answer:
A, E, F
Step-by-step explanation:
2/9 is the fraction equivalent of 0.222222 repeating. 4/15 is the fraction equivalent 0.266667 repeating. 7/11 is the fraction equivalent of 0.636364 repeating.
Help me pls pls pls
Answer:
1,3
Step-by-step explanation:
1,3
the area of a certain desert is nine times the area of another desert. if the sum of their areas is 30,000,000 sq miles. find the area of each.
What is the answer to 6/8 ×2 =
Step-by-step explanation:
= 6 / 8 × 2
= 0.75 × 2
= 1.5
plz follow me
a landscaper is designing a park in the shape of a kite with a fountain in the center, F. AK = 28 ft, PF=48 ft and F=32 ft. He wants to install a walkway around the border of the park. The inside edge of the walkway will be edged with brick. The bricks are purchased in linear feet. How many linear feet of bricks should he purchaase?
Answer:
169.9
Step-by-step explanation:
(c) One lorry travels from your town to another town. The lorry reaches a top speed
of 90 km/h, but its average speed between the towns is only 66 km/h.
Why is the average speed less than the top speed?
Answer:
The average speed is 24 km/h less than the top speed of the lorry.
Step-by-step explanation:
The top speed of the lorry is the highest speed reached during transit, while its average speed is the mean speed attained
Given:.
Top speed of the lorry = 90 km/h
Average speed of the lorry = 66 km/h
Then,
The difference between the speed reached = top speed - average speed
= 90 - 66
= 24 km/h
Therefore, the average speed is 24 km/h less than the top speed of the lorry.