Answer:
The equation of the line in point-slope form is [tex]y - 1 = m(x + 1)[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line, in point-slope form, is given by:
[tex]y - y_0 = m(x - x_0)[/tex]
In which the point is given by [tex](x_0,y_0)[/tex] and m is the slope.
The slope of the line below is 3.
This means that [tex]m = 3[/tex]
(-1,1)
This means that [tex]x_0 = -1, y_0 = 1[/tex].
Equation of the line:
[tex]y - y_0 = m(x - x_0)[/tex]
[tex]y - 1 = m(x - (-1))[/tex]
[tex]y - 1 = m(x + 1)[/tex]
The equation of the line in point-slope form is [tex]y - 1 = m(x + 1)[/tex]
Consider the triangle A(4,0), B(-2,4), C(0,6)
What will be the equation of the altitude BM?
Answer:
BM: y = (2/3) x + 16/3 with segment length of 2.77
Step-by-step explanation:
AC formula: m = (6-0)/(0-4) = -3/2
(y-0)/(x-4) = -3/2 y = (-3/2)x + 6 ... (1)
BM slope: BM⊥ AC m = 2/3
BM formula: (y-4) / (x- -2) = (y-4) / (x+2) = 2/3
y-4 = 2/3 x + 4/3
y = (2/3) x + 16/3 ... (2) -2≤x≤0.31
intercept of AC and BM (M) from (1) and (2): (-3/2)x + 6 = (2/3) x + 16/3
(13/6) x = 2/3 x = (2/3) / (13/6) = 4/13 ≈ 0.31
y = (2/3) (4/13) + (16/3) = (8/39) + (208/39) = 216/39 = 72/13 ≈ 5.54
M (4/13 , 72/13) or (0.31 , 5.54)
segment BM = √(4/13 - -2)² + (72/13 - 4)² = √1300/169 = 2.77
Alice needs to mix 4 cups of baking soda with 3 cups of water to make a cleaning solution. How many cups of baking soda are needed for each cup of water?
Answer:
1.33
Step-by-step explanation:
Divide 3 by 3, making it one. Now divide 4 by 3, making it 1.33.
simplify 2√2-3/√2+4/√8
Answer:
This is SURD, but the question is not well imputed (isn't well formed) some should be in bracket and left with one outside. check it well
A line with a slope of -3 passes through (-8,p) and (2,3p).
Find the value of p.
(3p-p)/(2-(-8))= -3
2p/10= -3
2p= -30
p= -15
Answer:
-15
Step-by-step explanation:
Given that a line has a slope of -3 and passes through the points (-8,p) and (2,3p) . And we need to find out the value of p . As we know that the slope is ,
[tex]\longrightarrow\sf slope = y_2-y_1/x_2-x_1[/tex]
Substituting the respective values ,
[tex]\longrightarrow[/tex] -3 = (p - 3p)/(-8-2)
Simplify ,
[tex]\longrightarrow[/tex] -3 = -2p/-10
[tex]\longrightarrow[/tex] -3 = p/5
[tex]\longrightarrow[/tex] p = 5 * -3
[tex]\longrightarrow[/tex] p = -15
Hence the value of p is -15 .Am i right on this one?
Answer:
yes
Step-by-step explanation:
brainliest please
Yes this is correct, i cant really explain since i already did this question on paper but I CAN tell you it is right
solve include real and non real solutions.
x^2-8=0
Answer:
[tex]x=+2\sqrt{2} and-2\sqrt{2}[/tex]
Step-by-step explanation:
[tex]x^2-8=0[/tex]
[tex]x^2=8[/tex]
[tex]\sqrt{x^2} = \sqrt{8}[/tex]
[tex]x=2\sqrt{2}[/tex]
plus or minus
he product of two whole numbers is 864 and their sum is 60 . What are the two numbers?
Answer:
Step-by-step explanation:
xy = 864
x + y = 60 Solve for y in the second equation
y = 60 - x
x * (60 - x) = 864 Remove the brackets.
60x - x^2 = 864 Put in order of powers and subtract 864
-x^2 + 60x - 864 =0 Multiply through by -1
x^2 - 60x + 864 = 0
This factors
(x - 36)(x - 24) = 0
Either
x - 36 = 0 in which case
x = 36
or
x - 24 = 0
x = 24
The two numbers are x = 36 and y = 24
of x = 24 and y = 36
.Mother bought 4 1/3 kilograms of bananas and 4 4/5 kilograms of oranges for her children. How many kilograms of fruits did she buy in all?
Step-by-step explanation:
[tex] \bf \underline{Given-} \\ [/tex]
[tex] \sf{Mother \: bought \: 4 \frac{1}{3} \: kilograms \: of \: bananas \: and } \\ \sf{ 4 \frac{4}{5} \: kilograms \: of \: oranges \: for \: her \: children.} \\ [/tex]
[tex] \bf \underline{To \: find-} \\ [/tex]
[tex] \sf \: Total\:kilograms \: of \: fruits \: did \: she \: buy \: in \: all \: ? \\ [/tex]
[tex] \bf \underline{Solution-} \\ [/tex]
[tex] \sf{Total \: weight \: of \: fruits = \bigg(4 \frac{1}{3} + 4 \frac{4}{5} \bigg)Kg} \\ [/tex]
[tex] \sf{ = \bigg(\frac{13}{3} + \frac{80}{5} \bigg)Kg} \\ [/tex]
Take LCM of 3 & 5 is 15.
[tex] \sf{ = \bigg( \frac{65 + 240}{15} \bigg)Kg} \\ [/tex]
[tex] \sf{ = \frac{305}{15} \: Kg} \\ [/tex]
[tex] \sf{ =2 \frac{5}{15} \: Kg} \\ [/tex]
$D$ is on side $\overline {AB}$ of $\triangle ABC.$ We know $\triangle ABC \sim \triangle ACD$ and $\angle A =48^\circ.$ If $BC=BD,$ what is $\angle B$ in degrees?
According to the exterior angle theorem, the exterior angle of a triangle is equal to the sum of the two opposite interior angles
The measure of ∠B is 44°
Reason:
The known parameters are;
The point D is on side [tex]\overline{AB}[/tex] of triangle ΔABC
ΔABC ~ ΔACD,
∠A = 48°
BC = CD
Required:
The measure of angle ∠B
Solution:
ΔBDC is an isosceles triangle
Let x, represent ∠B
Therefore, ∠BDC = x, by base angles of an isosceles triangle
Given that ΔABC ~ ΔACD, and ΔBDC is an isosceles triangle, we have;
∠ADC = 2·x by exterior angle of a triangle theorem
Given ΔABC ~ ΔACD, ∠A = ∠A, and ∠ADC = 2·x, therefore, ∠ACD = x
Which gives;
48° + x + 2·x = 180° sum of angles in a triangle theorem
[tex]x = \dfrac{180^{\circ} - 48^{\circ}}{3} = 44^{\circ}[/tex]
∠B = x = 44°
The measure of ∠B = 44°
Learn more about angles in a triangle here:
https://brainly.com/question/956912
At midnight in Alaska, the temperature in Sitka is 29.7 degrees Fahrenheit.
Each hour after that the temperature decreases by 1.23 degrees until the sun comes up.
What is the temperature 2 hours after midnight?
Temperature
Level : JHSthe temperature in Sitka 2 hours after midnight is :
= 29.7°F + (2 × 1.23°F)
= 29.7°F + 2.46°F
= 32.16°F
So, the temperature in Sitka 2 hours after midnight is 32.16°F
#LearnWithEXO
Answer:
27.24° FStep-by-step explanation:
Initial temperature = 29.7° FDecrease rate = 1.23° F / hAfter 2 hours the temperature is:
29.7° F - 2*1.23° F = 27.24° Fwhats 4(-2-9.2x)=3(2-7.6x) solve for x
Answer:
x = -1
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
[tex](4)(-2) + (4)(-9.2x)=(3)(2)+(3)(-7.6x)[/tex] [tex]-8 - 36.8x = 6 - 22.8x[/tex] [tex]-36.8x - 8 = -22.8x + 6[/tex]Step 2: Add 22.8x to both sides.
[tex]-36.8x - 8 + 22.8x = -22.8x + 6 + 22.8x[/tex] [tex]-14x - 8 = 6[/tex]Step 3: Add 8 to both sides.
[tex]-14x - 8 + 8 = 6 + 8[/tex] [tex]-14x = 14[/tex]Step 4: Divide both sides by -14.
[tex]\frac{-14x}{-14}=\frac{14}{-14}[/tex] [tex]x = -1[/tex]Therefore, x = -1.
The solution to the equation 4( -2 - 9.2x ) = 3( 2 - 7.6x ) is x = -1.
What is the solution to the equation?Given the equation in the question:
4( -2 - 9.2x ) = 3( 2 - 7.6x )
To solve the equation 4(-2 - 9.2x) = 3(2 - 7.6x), distribute the constants and then isolate the variable x:
4( -2 - 9.2x ) = 3( 2 - 7.6x )
4 × -2 + 4 × -9.2x = 3( 2 - 7.6x )
-8 - 36.8x = 3( 2 - 7.6x )
-8 - 36.8x = 3 × 2 + 3 × -7.6x
-8 - 36.8x = 6 - 22.8x
Collect like terms:
-8 = 6 - 22.8x + 36.8x
-8 - 6 = - 22.8x + 36.8x
Add like terms:
-14 = 14x
14x = -14
Divide both sides by 14:
x = -14/14
x = -1
Therefore, the value of x is -1.
Learn more about equations here: brainly.com/question/14686792
#SPJ3
y=-2(x+4)^2+3 find the y-intercept
Answer:
( 0, -29)
Step-by-step explanation:
Answer: ( I solve (more like the internet solve) for both x and y.
Step-by-step explanation: To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.
(2) Below is the graph of a function, y = f (x).
(a) Draw a secant line on the graph above from x = 0 to x = 4. (copy the graph if you are writing your answers on a separate paper)
(b) What is the average rate of change of f (x) from x = 0 to x = 4? Show how you get your answer.
Answer:
Step-by-step explanation:
a. To draw a secant line, just draw a straight line connecting the 2 points at x = 0 and x = 4.
b. The average rate of change of this line is going to be the change in y / the change in x. The equation will be (f(4) - f(0))/(4 - 0) = (0 - 3) / 4 = -3/4.
a tire plant makes 10 tires perm inute. If the tire plant runs for 10hours a day, how many days will it take to make 6 million tires?
Answer:
1,000 days
Step-by-step explanation:
6 tires per minute = 600 per hour
600 per hour times 10 hours = 6,000 per day
Divide 6,000,000 by 6,000 per day = 1000 days.
HELP ME PLEASE AND HURRY
the sum of a rational number and a rational number is rational.
-ALWAYS true
-SOMETIMES true
-NEVER true
thae answer is something true
solve the attached question.
NO spam!
Step by step explanation needed!
Step-by-step explanation:
hi I need help please, you can help me?
Each time a hurricane arrives, a new home has a 0.4 probability of experiencing damage. The occurrences of damage in different hurricanes are mutually independent. a. Calculate the probability that there will be at least two hurricanes from which the home will experience no damage before the second hurricane from which the home will experience damage. b. Calculate the probability that the home will experience its second damage from the fourth hurricane, given that the home has not experienced two damages from the first two hurricanes. c. Calculate the mode of the number of hurricanes it takes for the home to experience damage from three hurricanes.
Using the binomial distribution, we find that:
a) There is a 0.648 = 64.8% probability that there will be at least two hurricanes from which the home will experience no damage before the second hurricane from which the home will experience damage.
b) There is a 0.1728 = 17.28% probability that the home will experience its second damage from the fourth hurricane, given that the home has not experienced two damages from the first two hurricanes.
c) The mode is of 7.5 hurricanes.
For each hurricane, there are only two possible outcomes. Either it causes damage, or it does not. The probability of the home experiencing damage from a hurricane is independent of any other hurricane, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
It gives the probability of exactly x successes on n trials, with p probability.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The mode of the number of trials needed for q successes is given by:
[tex]M = \frac{q}{p}}[/tex]
In this problem, there is a 0.4 probability of experiencing damage from a hurricane, thus [tex]p = 0.4[/tex].
Item a:
This is the probability of at most 1 damage in 3 hurricanes, which is:
[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]
With [tex]n = 3[/tex].
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{3,0}.(0.4)^{0}.(0.6)^{3} = 0.216[/tex]
[tex]P(X = 1) = C_{3,1}.(0.4)^{1}.(0.6)^{2} = 0.432[/tex]
Then
[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.216 + 0.432 = 0.648[/tex]
0.648 = 64.8% probability that there will be at least two hurricanes from which the home will experience no damage before the second hurricane from which the home will experience damage.
Item b:
1 in the first three, with 0.432 probability.Damage in the fourth, with 0.4 probability.Then
[tex]0.432(0.4) = 0.1728[/tex]
0.1728 = 17.28% probability that the home will experience its second damage from the fourth hurricane, given that the home has not experienced two damages from the first two hurricanes.
Item c:
Damage from 3 hurricanes, thus q = 3.Then:
[tex]M = \frac{3}{0.4}} = 7.5[/tex]
The mode is of 7.5 hurricanes.
A similar problem is given at https://brainly.com/question/24923631
PLEASE HELP ME, GUYS!
Answer:
Okay I got youuu
Step-by-step explanation:
From the point Z go 5 right and 3 units up (5,3), and label it Z'. Do this for L and X, too.
The final answer is Z'(2,3) X'(5,0) L'(3,-1)! Hope this helps!
Given the geometric Saquence 5.14, 45--- find the next three term & the tenth term
Answer:
Step-by-step explanation:
You have some mistakes in the sentence. Also, can you add more information? I'd be glad to help you
PLEASE HELP ITS MATH THANK YOUUUU
4 consecutive integers of 182
44,95,96,97
Step-by-step explanation:
first just do gcf and find your numbers with x
Jake made punch by combining 2.75 liters of orange juice, 1.25 liters of pineapple juice, and 3.5 liters of soda. He then poured equal amounts of all the punch into 3 different containers. How much punch did Jake pour into each container?
Answer:
He poured 2.5 liters into each container
Step-by-step explanation:
Add 2.75, 1.25, and 3.5 together to get 7.5. Divide 7.5 by 3 and you get 2.5 liters per container.
Ana and Ling are solving |3x + 14| = -6x.
Is either of them correct?...............................
Explain your reasoning.
Answer:
No! Both are wrong!
Step-by-step Explanation:
the value of absolute function, (|.|) is always positive
that means -6x always has to be positive
and for -6x to be positive x has to be negative
(since, two negatives make a positive)
therefore, the value of x to the equation will be a negative value and not a positive one.
Ana thinks both positive and negative values of x will be the solution, whereas Ling thinks negative value of x can't be a solution. So, they're both wrong.
ONLY negative value of x will be the solution.
9x-5
14x+24 A
Determine the value of x.
A) x = 32.2
B) x = -5.8
C) x = -7
D) x = 7
Answer:
letter
B. =-5.8
Step-by-step explanation:
hope its help
you have $50 in your bank account. Each week you plan to deposit $7 from your allowance and $10 from your paycheck. The equation b= 50 + (10 + 7)w gives the amount b in your account after w weeks. How many weeks from now will you have $150 in your bank account?
Answer:
Step-by-step explanation:
It will take 6weeks for you to have$150
What is the product of (3y^-4)(2y^-4)
6/y^6
1/6y6
6/y16
1/6y16
Maria use 2/3 cups of powder mix every 2 gallons of water what is strength of the sports drink
Answer:
a
Step-by-step explanation:
wht not
Which glide reflection describes the mapping triangle ABC to triangle DEF?
Martha walks at a rate of 1.5 miles per hour. if he walks for 3/4 of an hour, how many miles will she walk?
Answer:
Martha will walk 1.125 miles.
Step-by-step explanation:
3/4 = 0.75
1.5 * 0.75 = 1.125
Distributive property 79x36
Answer:
1(79 x 36)
Step-by-step explanation: