The equation, in slope-intercept form, of the line that is perpendicular to the line y – 4 = –two-thirds(x – 6) is y = 3/2x - 1
Equation of a line in slope-intecept form?The equation of a lins is a linear equation and expressed as:
y = mx + b
m is the slope
b is the y-intercept
Determine the equation in point slope form
y - y1 = -1/m(x - x1)
y -(-2) = 3/2(x + 2)
y + 2 = 3/2(x+2)
Write in slope-intercept form
2(y+2) = 3(x+2)
2y + 4 = 3x + 6
2y = 3x - 2
y = 3/2x - 1
Hence the equation, in slope-intercept form, of the line that is perpendicular to the line y – 4 = –two-thirds(x – 6) is y = 3/2x - 1
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Help me with this im confused
Answer:
y=6x
Step-by-step explanation:
1. find the slope m. Pick two points on the line, such as (0,0) and (1,6). Plug those points into the slope formula.
m=change in y/change in x
m=6-0/1-0 Plug in (0,0)(1,6)
m=6/1 simplify
m=6
The slope is 6
2. Find the y-intercept. Since the line crosses the y-axis at 0, the y-intercept is 0.
3. Use the slope m=6 and the y-intercept b=0 to write the equation in slope-intercept form.
y=mx+b
y=6x+0 Plug in m=6 and b=0
y=6x
Holly and Mark plan to use their holiday bonuses to buy a used car for $3,300. Holly's bonus is 62% of the car's price. Mark's bonus is 0.54 of the car's price. What is the total amount of the bonuses Holly and Mark will receive? Help pls
Sorry I had to take down the answer, I might be wrong.
What is the image of (-9,-5) after a dilation by a scale factor of 5 centered at the origin?
Answer:
[tex](-45,-25)[/tex]
Step-by-step explanation:
[tex]-9 * 5 = -45-5 * 5 = -25(-45,-25)[/tex]
what is the greatest ten you can multiply by 2 to get close to but not over 58?
Answer:
20
Step-by-step explanation:
20 x 2 =40
40 is under 58 and the closest to 58
the next 10 is 30 and 30 x 30 is over 58 with 60
please help me outt on this round to nearest tenth
Solve this system with elimination 2x+3y=20 -2x+y=4
Answer:
x = 1, y = 6
Step-by-step explanation:
look at attached
Answer:
(y= -3 , x=13/2 )
Step-by-step explanation:
2x +3y =420-2x+y =4
2x +3y =4
-2x+ y= -16
4y = - 12
Divide both side of the equation by 4
y =-3
2x + 3x ( - 3 )= 4x = 13/2
hope it will help u !!Kiran's bank balance is $320. What is her new bank balance when she takes out $450
Answer:
Take out means add so
Step-by-step explanation:
320 + 450 = 770$ her new bank balance
Flying against the wind, an airplane travels 2610 kilometers in 3 hours. Flying with the wind, the same plane travels 8750 kilometers in 7 hours. What is the rate of the plane in still air and what is the rate of the wind?
Answer:
200 km/hr
Step-by-step explanation:
Let Va = the velocity of the airplane
Let Vw = the velocity of the wind
When flying with the wind:
(Va+Vw)*(4 hours) = 4000
4Va + 4Vw = 4000
4Vw = 4000 - 4Va
Vw = 1000 - Va
When flying against the wind:
(Va-Vw)*(7 hours) = 4200 km
7Va - 7Vw = 4200
Substitute 1000-Va for Vw and solve for Va:
7Va - 7(1000-Va) = 4200
7Va -7000 + 7Va = 4200
14Va = 11200
Va = 800 km/hr
Rate of wind:
Vw = 1000 - Va = 1000 - 800 = 200 km/hour
Tess, who lives in the united states, is on a trip to europe. she is going first to germany, where the currency is the euro (€), and then to switzerland, where the currency is the swiss franc (chf). as she travels from germany to switzerland, she finds that she has the equivalent of $527 remaining in euros, which she wishes to convert to swiss francs. if, at the time of tess’s exchanges, the exchange rate of the us dollar to the euro is 1:0.6957 and the exchange rate of the euro to the swiss franc is 1:1.4755, how many swiss francs does she have? round all currencies to two decimal places. a. 366.63 francs b. 513.39 francs c. 540.96 francs d. 777.59 francs
answer:
c
explanation:
from dollars to euro
for every us dollar you have 0.6957 euros
so you time that (0.6957) by 527
which is
366.6339 euros
now we need to convert the euros to swiss franc
so we do 366.6339 euros times 1.4755
this will be 540.96831945 chf
rounding to 2 decimal places will be : 540.96
Andy is building a model train. A train in real life has a wheel diameter of 33 inches, a length of 20 feet, a width of 10 feet, and a height of 12 feet. If his model has a width of 8 inches, what does the height need to be?
By finding and using the scale factor for the model, we conclude that the height of the model is 9.6 inches.
How to apply a scale factor?The ratio between the model's width and the real width is the scale factor, and all the dimensions change following that scale factor.
We have:
8 in = 10ft
1 ft = (8/10) in
This means that each feet in the real life, will be represented with (8/10) inches in the model.
Now we know that the real height is 12ft, then the model's height will be:
12* (8/10) in = 9.6 in
So the correct option is B.
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Answer:
9.6
Step-by-step explanation:
took usatest prep got a 100%
which number has the least value? (a) 5.61 (b) 16.5 (c) 56.1 (d) 51.6
Answer:
(a) 5.61
Step-by-step explanation:
Rearrange from smallest to largest:
☟︎︎︎
5.61 < 16.5 < 51.6 <56.1
Need help plezzzzzzzzzzzzzzzz
Answer:
The answer is B. 60°
Step-by-step explanation:
The Unit Circle.
A = sin^-1 ( [tex]\frac{\sqrt{3} }{2}[/tex]) = 60°
When Nayeli goes bowling, her scores are normally
distributed with a mean of 135 and a standard deviation of
12. What percentage of the games that Nayeli bowls does
she score less than 128, to the nearest tenth?
Using the normal distribution, it is found that she scores less than 128 in 28.1% of her games.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.In this problem, the mean and the standard deviation are given, respectively, by [tex]\mu = 135, \sigma = 12[/tex].
The proportion of games in which she scores less than 128 is the p-value of Z when X = 128, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{128 - 135}{12}[/tex]
Z = -0.58
Z = -0.58 has a p-value of 0.281.
She scores less than 128 in 28.1% of her games.
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Point A is located at (-6, 5). After it is transformed, point A' is located at (6, 5). What could the transformation be?
A reflection in the x-axis
A reflection in the y-axis
A transiation 12 units Up
A translation 12 to the right
Answer:
A reflection on the y axis, and 12 units to the right
Step-by-step explanation:
This is true because if you translate something from one variable, you are going over the second variable.
(LC) The following coordinates of four points are shown: P(4, 5), Q(5, 3), R(6, 1), S(3, 6) Which point is closest to the origin along the y-axis? Question 2 options: P Q R S
Answer:
S
Step-by-step explanation:
You eat 4 strawberries and get 48% of your recomended amount of vitamin C. What fraction of your vitamin C do you still need?
Answer:
52% or 13/25
Step-by-step explanation:
100%-48% is 52%
And for the fraction its 52/100 then simplified to 13/25
Answer: 13/25
Step-by-step explanation: You have 48/100 and need 52/100 to make the whole 100%
Simplify 52/1100
Someone pls help me I don't know what to do
Answer:
14 in
Step-by-step explanation:
area cylinder= area of base × height of cylinder
area of cylinder = (pi × radius²) × H
(sub in values )
196×pi = (pi x r²) × 1
(196×pi)/1 = pi × r²
(196×pi)/pi = r²
(pics cancel each other )
then, square root 196= r
14 in = radius
Find the measures of x and y.
2.
145°
55°
Answer:
x = 35° , y = 90°
Step-by-step explanation:
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
145° is an exterior angle of the triangle , then
y + 55° = 145° ( subtract 55° from both sides )
y = 90°
the sum of the 3 angles in a triangle = 180° , then
x + y + 55° = 180°
x + 90° + 55° = 180°
x + 145° = 180° ( subtract 145° from both sides )
x = 35°
If 12(x -7) = -11 then x =?
Answer:
x = 73/12
Step-by-step explanation:
Given:
[tex]\displaystyle \large{12(x-7)=-11}[/tex]
Distribute 12 in x-7:
[tex]\displaystyle \large{12x-84=-11}[/tex]
Add both sides by 84:
[tex]\displaystyle \large{12x-84+84=-11+84}\\\displaystyle \large{12x=73}[/tex]
Divide both sides by 12:
[tex]\displaystyle \large{\dfrac{12x}{12}=\dfrac{73}{12}}\\\displaystyle \large{x=\dfrac{73}{12}}[/tex]
Therefore, the solution is x = 73/12
Answer:
[tex]\large\boxed{\bf\:x = \frac{73}{12} = 6\frac{1}{12} \approx 6.083}[/tex]
Step-by-step explanation:
[tex]12(x - 7) = -11[/tex]
Multiply 12 by x & 7 (distributive property) in the left hand side of the equation .
[tex]12(x-7)=-11\\(12*x)-(12*7)=-11\\12x - 84 =-11[/tex]
Bring -84 to the right hand side of the equation. Then,
[tex]12x = -11 + 84\\12x = 73\\x=\frac{73}{12} \\\\\boxed{\bf\:x = \frac{73}{12} = 6\frac{1}{12} \approx 6.083}[/tex]
[tex]\rule{150pt}{2pt}[/tex]
Solve based on the diagrams.
2. What is the mode of this data set?
Answer:
5 is the mode of the data set.
Step-by-step explanation:
When finding the numbers of a bar graph like this, we count each x and the placement to find the number and amount of times it is shown.
Ex. There is 4 x's above 5. Meaning there are four, 5's. 5, 5, 5, 5.
The mode of a data set, is the number that appears the most often.
So, we can see that the 5 has the most x's, we know that 5 apears the most. Making 5, the mode.
PLEASE HURRY ;-;
A can in the shape of a cylinder is filled 75% of the way with liquid. The can has a height of 10 cm and a radius of 2 cm. Please determine following:
Total volume of the can
The volume of the liquid of the can
The volume of the empty space in the can.
Use the pi button and round to the nearest tenth, if necessary.
The volume of the can is ___ cubic centimeters.
The volume of the liquid is ___ cubic centimeters.
The volume of the empty space is ___ cubic centimeters.
Answer:
do you go to palcs too?
Step-by-step explanation:
Helppppppp
Miguel thinks that his data do not support the article's claim because 63.5%
of the students who made the honor roll at his school do not exercise.
Using data from the table, explain what is wrong with Miguel's reasoning.
The 63.5% of the students who do not exercise is the wrong percentage because 70% of the students do not exercise.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
Miguel thinks that his data do not support the article's claim because 63.5% of the students who made the honor roll at his school do not exercise.
The percentage of the students who do not exercise will be
[tex]\rm P = \dfrac{112}{160} \times 100\\\\P = 70\%[/tex]
The 63.5% of the students who do not exercise is the wrong percentage because 70% of the students do not exercise.
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A newborn baby weighs 3.136 times 10 superscript 3 units. which unit of measure was used? grams ounces pounds tons
Answer:
its A
Step-by-step explanation:
have you smiled today? its very important:)
Answer:
A
Step-by-step explanation:
Use a net to find the surface area of the prism.
A rectangular prism has a length of 15 inches, width of 6 inches, and height of 8 inches.
A. 576 in.2
B. 258 in.2
C. 516 in.2
D. 720 in.2
i just don't understand can some one please help me :)
Answer:
C. 516 in2
Step-by-step explanation:
I took the test last week and I got this question corrected
in a linear equation, how many times will a line cross the x-axis and y-axis?
(a) 4
(b) 2
(c) 1
(d) 3
Answer:
1
Step-by-step explanation:
in a linear equation a line will only cross the x and y-axis one time
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m angle R = 120° and m angle S = 100°. Find m angle T. The diagram is not drawn to scale. Quadrilateral R U S T is shown. Side R U is congruent to side R S. Side U T is congruent to Side S T.
A. 20° B. 100° C. 60° D. 40°
Answer:
D.40°
Step-by-step explanation:
Angle U is congruent to angle S because UR = RS and UT=TS. Through that we now know U is also = 100°. A quadrilateral has to equal 360° degrees so 360°- 120° - 100°- 100° = 40° degrees
T is 40°
Answer:
its D. 40
hope that helped you
What is the largest circle contained in a triangle where the center of the circle is the incenter of the triangle?
Answer:
In geometry, the incircle or inscribed circle of a triangle is the largest circle contained in the triangle; it touches (is tangent to) the three sides. The center of the incircle is a triangle center called the triangle's incenter.
what is the equation that represents the sentence, twenty four is the sum of a number and six use x for the variable
Answer:
24 = x + 6
Step-by-step explanation:
24 = x + 6
Assume each order is independent. For which type of dinner is the value of its contribution to the appropriate test statistic the greatest?Assume each order is independent. For which type of dinner is the value of its contribution to the appropriate test statistic the greatest?
The type of dinner in which the value of its contribution to the appropriate test statistic is the greatest is E) Vegetarian
What is a Test Statistic?This refers to the derived statistic that is used in the statistical hypothesis testing in an experiment with a sample.
Hence, we can see that from the complete question, there is the tracking of dinner types by the manager and he compares the change in distribution from last year.
He finds that if each order is independent, then the type of dinner which is the value of its contribution to the appropriate test statistic the greatest is vegetarian meals.
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The sales of new products over time are found to follow a quadratic model before dropping off to zero at the end of the product’s lifetime. A new product is released with sales modeled by the equation
S
=
−
(
t
−
3
)
2
+
81
, where S represents the sales in millions of dollars and t represents the number of years the product will be sold. According to the equation, what will be the lifetime of this product?
The sales equation of the product is an illustration of a quadratic function, and the lifeline of the product is 12 years
How to determine the lifeline of the product?The sales equation is given as:
S(t) = -(t - 3)² + 81
The lifeline of the product is when the sales hits 0.
This means that S(t) = 0
So, we have:
-(t - 3)² + 81 = 0
Subtract 81 from both sides
-(t - 3)² = -81
Divide both sides by -1
(t - 3)² = 81
Take the square root of both sides
t - 3 = 9
Add 3 to both sides
t = 12
Hence, the lifeline of the product is 12 years
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