Answer:
The points are (1, -11) and (17, -11).
Step-by-step explanation:
The distance between points (x1, y1) and (x2, y2) is
[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
We have values for x1, y1, and y2. We leave x for x2, and we solve for x.
[tex] 17 = \sqrt{(x - 9)^2 + (-11 - 4)^2} [/tex]
Square both sides.
[tex] 289 = (x - 9)^2 + (-11 - 4)^2 [/tex]
[tex] 289 = x^2 - 18x + 81 + 225 [/tex]
[tex] x^2 - 18x + 17 = 0 [/tex]
[tex] (x - 1)(x - 17) = 0 [/tex}
[tex] x - 1 = 0 [/tex] or [tex] x - 17 = 0 [/tex]
x = 1 or x = 17
The points are (1, -11) and (17, -11).
Using distance between two points, it is found that the values are: x = 17, x = 1.
----------------------------
Distance between two points:
Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
----------------------------
Points (9,4) and (x, -11).Distance of 17, thus [tex]D = 17[/tex][tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\sqrt{(x - 9)^2 + (-11 - 4)^2} = 17[/tex]
[tex](\sqrt{(x - 9)^2 + (-11 - 4)^2})^2 = 17^2[/tex]
[tex](x - 9)^2 + (-15)^2 = 289[/tex]
[tex]x^2 - 18x + 81 + 225 = 289[/tex]
[tex]x^2 - 18x + 17 = 0[/tex]
Quadratic equation with [tex]a = 1, b = -18, c = 17[/tex].
Applying Bhaskara:
[tex]\Delta = b^2 - 4ac = (-18)^2 - 4(1)(17) = 256[/tex]
[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{-(-18) + \sqrt{256}}{2} = 17[/tex]
[tex]x_2 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{-(-18) - \sqrt{256}}{2} = 1[/tex]
The values are: x = 17, x = 1.
A similar problem is given at https://brainly.com/question/22532602
if your monthly salary is $2,543, what is your annual salary
OMG PLS— THIS IS DUE AT 8PM—
Answer:
so good
Step-by-step explanation:
so good
How do you make 14% into a fraction?
Answer:
7/50
Step-by-step explanation:
Please help me with this):
Answer:
It would be 11/3
Step-by-step explanation:
Timo was curious if quadrilaterals LMNR and PQNO were similar, so he tried to map one figure onto
the other using a rotation and a dilation.
M
N
LO
R
Q
Timo concluded:
"It's not possible to map LMNR onto PQNO using a sequence of rigid transformations and dilations,
so the quadrilaterals are not similar."
Answer:
c
Step-by-step explanation:
The two quadrilaterals LMNR and PQNO are not similar. Timo tried to map one figure onto the other using rotation and dilation methods. He concluded that they are not similar because the rigid transformations like rotation preserve congruence and dilation will not change the shape but it changes its size. So, this results in no congruence.
What is rigid transformation?Rotations, reflections, and translations are known as rigid transformations. They do not change the size or shape of a figure, they simply move it. These rigid transformations preserve congruence.What is dilation?Dilation is not a rigid transformation, since they change the size of a figure. Dilation would not change the shape but changes the sizeThis would give us a similar, but not congruent figure.Here Timo used rotation and dilation on the two quadrilaterals LMNR and PQNO. So, this resulted in a change in the size of the quadrilaterals. Because of this, Timo concluded that "it's not possible to map LMNR onto PQNO using a sequence of rigid transformations and dilations, so the quadrilaterals are not similar".
Learn more about rigid transformations and dilation here:
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The slope of a line is 1, and the y-intercept is -1. What is the equation of the line written in slope-intercept form?
Answer:
Step-by-step explanation:
slope (m) = 1
y-intercept (c) = - 1
Writing in slope intercept form
y = mx + c
y = x - 1
hope it helps :)
What is the value of x in the equation below?
-3-(-8)-(-2) = x
O -13
-9
7
Answer:
7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
calculation will give 7
HELP PLSSSSSS!!! answer all pls
Answer:
See below.
Step-by-step explanation:
STEP 1: If you write the given terms all with denominators of 16, they are 28/16, 25/16, 22/16, 19/16, __, ____, ____, 7/16, 4/16.
STEP 2: The terms decrease by 3/16 for each step.
RULE: Term 1 = 7/4 and term (n + 1) = term 'n' - 3/16
The operation for increasing by the same amount every step is addition.
The operation for decreasing by the same amount every step is subtraction.
STEP 3: The rule is that the terms decrease by 3/16 at each step.
So the next 3 terms after 19/16 will be 16/16, 13/16, and 10/16.
Reformat them and you have 1, 13/16, 5/8.
So now the completed sequence is 1&3/4, 1&9/16, 1&3/8, 1&3/16, 1, 13/16, 5/8, 7/16, 1/4.
A line that includes the point (10, 0) has a slope of
5
What is its equation in slope-intercept
form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Submit
I need helppppppp !!!!!!! Due in 5 mins
9514 1404 393
Answer:
y = 1/5x -2
Step-by-step explanation:
When a point and slope are given, sometimes it is easiest to start with the point-slope form of the equation. Then it can be rearranged to the desired form.
y -k = m(x -h) . . . . . line with slope m through point (h, k)
y -0 = 1/5(x -10) . . . . . line with slope 1/5 through point (10, 0)
y = 1/5x -2 . . . . . . . eliminate parentheses to get slope-intercept form
_____
Note that the slope in the attached picture is 1/5, but your problem text says it is 5. Very different equations will result from these different slopes.
PLEASE HELP I WILL OFFER ALOT, A manufacturer of ski clothing makes ski pants and ski jackets. The profit on a pair of ski pants is $3 and on a jacket is $7. Both pants and jackets require the work of sewing operators and cutters. There are 60 minutes of sewing operator time and 48 minutes of cutter time available. It takes 8 minutes to sew one pair of ski pants and 4 minutes to sew one jacket. Cutters take 4 minutes on pants and 8 minutes on a jacket. The manufacturer wants to make a minimum of 4 ski pants and 2 ski jackets. Let x represent the number of ski pants. Let y represent the number of ski jackets. x > 4 y > 2 8x + 4y 96 4x + 8y 72 Find the maximum profit and the amount of pants and jackets to maximize the profit.
the manufacturer must make (blank) ski pants and (blank) ski jackets for a maximum profit of $(blank)
Answer:
79 hhj cfgghh hjjjjhjbhh
what is 5+5 will mark brainlist
Answer:
10, 5+5=10
correct answer would be 10
What is the decimal multiplier to decrease by 39%
Answer:
100%-39%=61% which is 0.61
Step-by-step explanation:
how many solutions does the following system of equations have y=2x+2 & 2y=4x+4
Step-by-step explanation:
The answer is : Infinitely many solutions (because they lie in each other)
an expression to show the sum of g and h reduced by 11
Answer:
(g + h) - 11
Step-by-step explanation:
Sum of g and h : g + h
Sum of g and h reduced by 11: (g + h) - 11
Mia used 1/7 of an ounce of nuts to make 1/5 of a cake. How many ounces of nuts are needed to make a whole cake?
Answer:
For this case we can apply the following proportional rule:
Step-by-step explanation:
1/7 nuts. x
------------ = ----------
1/5 cake. cake
and solving for x we got:
x = 1/7
------- = 5/7 nuts
1/5
then the answer for this case would be 5/7 nuts
your welcome
Which of the following numbers is irrational? -9/5 , sqrt (5) , 7/3 , sqrt (9)
I WILL mark brainliest!
Answer:
[tex]\large\boxed { \ ANS = \sqrt{5} }[/tex]
Step-by-step explanation:
Irrational numbers are numbers that cannot be written as simple fractions. All the numbers listed above except for [tex]\sqrt{5}[/tex] cannot be written as fractions.
• [tex]\frac{7}{3}[/tex] is already a fraction
• [tex]\frac{-9}{5}[/tex] is also already a fraction
• [tex]\sqrt{9}[/tex] is 3 and 3 can be written as [tex]\frac{3}{1}[/tex]
• [tex]\sqrt{5}[/tex] is an irrational algebraic number and cannot be written as a simple fraction since it is equal to
2.23606797749978969640917366873127623544061835961152572427089..which continues on and on.
I hope this helped you understand this topic!
please help me with this
Answer:
A) 2481.156[tex]\pi[/tex] cm³
Step-by-step explanation:
The formula for volume of a sphere is: [tex]\frac{4}{3} \pi r^{3}[/tex]. In this case, the radius is 12.3. 12.3 cubed is: 1860.867. 1860.867 x 4 is 7443.468. 7443.468 divided by 3 is 2481.156. Since we haven't multiplied by pi yet, the answer would be 2481.156[tex]\pi[/tex].
Hope it helps!
What is the slope y+2=1/4(x-3)
Answer:
[tex]m=\frac{1}{4}[/tex]
Step-by-step explanation:
Given
[tex]y+2=\frac{1}{4}(x-3)[/tex]
Required
Find the slope
[tex]y+2=\frac{1}{4}(x-3)[/tex]
Subtract 2 from both sides
[tex]y+2-2=\frac{1}{4}(x-3) - 2[/tex]
[tex]y=\frac{1}{4}(x-3) - 2[/tex]
Open bracket
[tex]y=\frac{1}{4}x-\frac{1}{4}*3 - 2[/tex]
[tex]y=\frac{1}{4}x-\frac{3}{4} - 2[/tex]
Take LCM
[tex]y=\frac{1}{4}x+\frac{-3 - 8}{4}[/tex]
[tex]y=\frac{1}{4}x+\frac{-11}{4}[/tex]
[tex]y=\frac{1}{4}x-\frac{11}{4}[/tex]
An equation has the form:
[tex]y = mx + b[/tex]
Where
[tex]m = slope[/tex]
By comparing: [tex]y = mx + b[/tex] and [tex]y=\frac{1}{4}x-\frac{11}{4}[/tex]
[tex]m=\frac{1}{4}[/tex]
So, the slope is 1/4
ABC is a straight line.
빙
A
в с
The length of AB is four times the length of BC.
AC = 75 cm.
Work out the length of AB.
mi
i
answe ac
Step-by-step explanation:because 827.0837
give five equivalent fractions for 4/7
Answer:
8/14, 12/21, 16/28, 20/35, 40/70
Step-by-step explanation:
[3x-2]÷4=2x-8
Can someone help
Answer:
Step-by-step explanation:
[3x-2]÷4=2x-8
3x-2 = 4·(2x-8)
3x-2 = 8x-32
-2 = 5x-32
30 = 5x
x = 6
Answer:
(3x-2)/4= 2x-8 x=6
Step-by-step explanation:
(3x-2)/4 times 4= 2x-8
Multiply both sides by 4
3x-2/4 times 4= 2x times 4-8 time 4
Simplify
3x= 8x = 8x-30-8x
Subtract 8x from both sides
3x-8x=8x-30-8x
Simplify
-5x=-30
Divide both sides by -5
-5x/-5 = -30/-5
Simplify so you get x=6
help please, how do I answer these types of questions?
help me pls i need help asap
Answer:
no babe
Step-by-step explanation:
The scale for a blueprintis 1 cm: 50 in. What is the lengthon the blueprint for a bathroom wall that is 150 inches long
Answer:
The answer should be 3cm
Step-by-step explanation:
The way you worded it was kind of confusing so pardon me if the answer isnt the correct answer you were looking for. But I suppose that if 1 cm is 50 in. than 150 in. would be 3 cm. Because 50 + 50 + 50 = 150. And if it is 1 cm. per 50 in. than that would be 3 cm. I hope this answered your question! And if not.. again, im sorry.
SIGNIFICANCE OF OPERATION RESEARCH IN MODERN MANAGEMENT
Find the quotient.
2,593 dived 4
Answer:
648.25Step-by-step explanation:
Two fair dice are rolled at the same time.
What is the probability that the total score is 6.
Let R be the region bounded by the following curves. Use the shell method to find the volume of the solid generated when R is revolved about the x- axis.
y = Sqrt x , y = 0, and x = 81
V = ? (Type an exact answer in terms of pi)
Answer:
[tex]V=47239.2\pi [/tex]
Step-by-step explanation:
We are given that
[tex]y=\sqrt{x}[/tex]
y=0
[tex]x=81[/tex]
When y=0 then x=0
Using shell method
Volume of solid
[tex]V=2\pi \int_{a}^{b}xf(x)dx[/tex]
Using the formula
Volume of solid
[tex]V=2\pi \int_{0}^{81} x(\sqrt{x})dx[/tex]
[tex]V=2\pi \int_{0}^{81}x^{\frac{3}{2}}dx[/tex]
[tex]V=2\pi [\frac{2}{5}x^{\frac{5}{2}}]^{81}_{0}[/tex]
[tex]V=2\pi\times \frac{2}{5}((81)^{\frac{5}{2}})[/tex]
[tex]V=47239.2\pi [/tex]
4. The price of a sweater is $5 less than the price of the shirt. If four sweaters and
three shirts cost $200, find the cost of each shirt and sweater.
Answer:
Form an equation:
let x be the price of a shirt
Then, the price of a sweater would be x - 5
So you would have:
4(x - 5) + 3x = 200
simplify
4x - 20 + 3x = 200
7x - 20 = 200
add 20 to both sides
7x = 220
divide both sides by 7
x = about 31.43
That means the cost of the sweater would be 31.43 - 5 = 26.43
Andy's little brother has a toy box that
contains 2 blue race cars, 1 green race car,
and 1 red race car. Andy removes 2 race cars
from the toy box without looking. If Andy
removes a blue car first and does not replace
it, which best represents the sample space
for the cars Andy removes?
Answer:
c.
Step-by-step explanation:
The solution is Option C.
Sample space is set A = { blue , blue } , { blue , green } , { blue , red }
What is union and intersection of sets?The union of two sets A and B is the set of all those elements which are either in A or in B, i.e. A ∪ B, whereas the intersection of two sets A and B is the set of all elements which are common. The intersection of these two sets is denoted by A ∩ B
The union of two sets is a new set that contains all of the elements that are in at least one of the two sets
The intersection of two sets is a new set that contains all of the elements that are in both sets
Given data ,
Let the sample space be represented as set A
Now , the equation will be
The number of blue cars = 2 blue cars
The number of green cars = 1 green car
The number of red cars = 1 red car
So , the total number of cars = 2 + 1 + 1 = 4 cars
Now , Andy removes 2 race cars from the toy box without looking
Let the first removed car be a blue car
So , the second car can have any value including a blue , green or white
And , the sample space is given by set A
Set A = { blue , blue } , { blue , green } , { blue , red }
Hence , the set is { blue , blue } , { blue , green } , { blue , red }
To learn more about sets click :
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