Using Distance formula ,
[tex]\bold{d(AB) = \sqrt{ (x_{2} - x_{1}) {}^{2} + ( y_{2} - y_{1}) {}^{2} } }\\ \\\bold{5 = \sqrt{(5 - 1) {}^{2} + (2 - y) {}^{2} }} \\ \\\bold\blue{ squaring \: both \: sides\:,} \\ \\\bold{ 25 = (5 - 1) {}^{2} + (2 - y) {}^{2} }\\ \\\bold{ 25 = (4) {}^{2} + (4 + y {}^{2} - 4y)}\\ \\ \bold{25 = 16 + y {}^{2} - 4y + 4}\\ \\ \bold{25 = y {}^{2} - 4y + 20}\\ \\\bold{ y {}^{2} - 4y - 5 = 0}\\ \\\bold{ y {}^{2} - 5y + y - 5 = 0} \\\\\bold{ y(y - 5) + 1(y - 5) = 0}\\ \\\bold{ (y + 1)(y - 5) = 0 }\\\\\bold{ y = - 1 \: or \: y = + 5}[/tex]
therefore ,
possible coordinates of A are either ( 1 , -1 ) or ( 1 , 5 )
hope helpful~
pls help me plsssssss!!!!!!
x/3 + 7 ≥ 14←←←←←←←←←←←
Answer:
x bigger than or equals to 21
Step-by-step explanation:
[tex] \frac{x}{3} + 7 \geqslant 14[/tex]
[tex] \frac{x}{3} \geqslant 7[/tex]
[tex]x \geqslant 21[/tex]
The value of the digit 4 in the number 42,780 is 10 times the value of the digit 4 in which number? A 34,65134,65134,651 B 146,703146,703146,703 C 426,135426,135426,135 D 510,400510,400510,400
Answer:
Its A
Step-by-step explanation:
Missing: 65134, 703146, 135426, 510, 400510, 400
Ayuda por favor/Help please
Answer:
no solution
Step-by-step explanation:
2x + 3x - 60 = 5x
combine like terms
5x - 60 = 5x
subtract like terms (5x-5x = 0)
-60 = 0, which is untrue so there is no solution
PQ=RQ
470
R
17
b = [?]
Answer:
17
Step-by-step explanation:
you can use SAS to prove two triangles are congruent
Then by CPCTC PS = RS so b is also 17
It takes 20 minutes for Janis to prepare lunch. When Kristen helps, it only takes 12 minutes. How many minutes would it take Kristen to prepare the same lunch if she worked alone
Answer:
30
Step-by-step explanation:
(Solution: 12/20 + 12/x = 1, x = 30 min)
Maritza had to solve 5(4m-6)-10
Hi! I hope you're enjoying your day!
I can help Maritza solve this maths problem. ;)
The first step in solving this problem is using the Distributive Property and distribute 5.
How to distribute 5:
multiply 5 times 4m and -6 and simplify :)
So let's do it! :)
5(4m-6)-10
20m-20-10
Now, combine like terms:
[tex]\boxed{\boxed{\bold{20m-30}}}[/tex]
And yeah, we can't simplify this expression, because 20m and -30 are not like terms.
Hope everything is clear.
If you have any questions, please comment.
#LearningIsFun
[tex]\rule{250}{2}[/tex]
Hello there! Your question is missing some important information to solve. I will solve the equation by simplifying the expression. =)
Answer:
[tex]20m-40[/tex]
Step-by-step explanation:
Given the expression:
[tex]5(4m-6)-10[/tex]
You can simplify it as follows:
1. Apply the Distributive Property multiplying each term inside the parentheses by the number 5 outside:
[tex]=(5)~(4m)-(5)~(6)-10[/tex]
[tex]=20m-30-10[/tex]
2. Add the like terms (remember that like terms have the same variables with the same exponents):
[tex]=20m-40[/tex]
Hence, the answer is [tex]20m-40[/tex]
A circle labeled Internal Medicine Doctors. It is connected to 4 other circles. Circle 1 is labeled Veterinarians. Circle 2 is labeled Epidemiologists. Circle 3 is labeled Virologists. Circle 4 is labeled Food Investigators. This web diagram presents different types of internal medicine doctors. Why is a web diagram a good choice for illustrating this information? A web diagram allows pictures to help with understanding. A web diagram shows what connects these different types of doctors. A web diagram compares and contrasts the doctors best. A web diagram looks best on the page.
Answer:
B
Step-by-step explanation:
I got it right on the assignment
Hope this helps :)
Answer:
B. A web diagram shows what connects these different types of doctors.
Step-by-step explanation:
can somone explain pythagorous
Answer:
[tex]x=6[/tex]
Step-by-step explanation:
Pythagorean Theorem: [tex]AC^2+BC^2=AB^2[/tex]
BC= x
AB= 10 cm
AC= 8 cm
~
Now, Substitute
[tex]8^2+x^2=10^2[/tex]
[tex]64+x^2=100[/tex]
[tex]100-64=x[/tex]
[tex]\sqrt{36}=x^2[/tex]
Square root x^2= x, √(36)=6
[tex]x=6[/tex]
Therefore, the length of x = 6
~
2.9 months to 4.9 months
Jason has 5 packs of pencils with the same number of pencils in each one. If Jason has 50 pencils total, which equations could be used to find the number of pencils in each pack?
Answer:
5x=50
Step-by-step explanation:
Divide 50 by 5x so you get x = 10 (or just do basic multiplication)
9xsquared -49 factorise
Answer:
(3x-7)(3x+7)
Step-by-step explanation:
3^2 * x^2 -7^2 (expand that out)
(3x)^2 - 7^2
(3x-7)*(3x+7)
Answer:
(3x+7)(3x-7)
Step-by-step explanation:
Applying the Difference of Two Squares(D.O.T.S) formula:
[tex]x^{2} -y^{2} =(x+y)(x-y)[/tex]
9x²= (3x)²
49=7²
Put 3x as x and 7 as y into the D.O.T.S formula:
(3x+7)(3x-7)
Mark as Brainliest please
Put these numbers in order of size, smallest to largest: 6, -2, 4, -3, 1 3
Answer:
-3,-2,4,6,13
Step-by-step explanation:
put them in order of increment
Find the surface area of the cylinder to the nearest whole number.
15 in
19 in.
Not drawn to scale
Select one:
a. 1791 in. 2
b. 11281 in. 2
c. 3204 in. 2
d. 5815 in. 2
Answer:
the answer you are looking for is C
Futhe Mathematics
[tex](Cos {}^{4}t -Sin {}^{4}t ) \div Cos {}^{2}t[/tex]
Answer:
cos2t/cos²t
Step-by-step explanation:
Here the given trigonometric expression to us is ,
[tex]\longrightarrow \dfrac{cos^4t - sin^4t }{cos^2t } [/tex]
We can write the numerator as ,
[tex]\longrightarrow \dfrac{ (cos^2t)^2-(sin^2t)^2}{cos^2t } [/tex]
Recall the identity ,
[tex]\longrightarrow (a-b)(a+b)=a^2-b^2[/tex]
Using this we have ,
[tex]\longrightarrow \dfrac{(cos^2t + sin^2t)(cos^2t-sin^2t)}{cos^2t}[/tex]
Again , as we know that ,
[tex]\longrightarrow sin^2\phi + cos^2\phi = 1 [/tex]
Therefore we can rewrite it as ,
[tex]\longrightarrow \dfrac{1(cos^2t - sin^2t)}{cos^2t}[/tex]
Again using the first identity mentioned above ,
[tex]\longrightarrow \underline{\underline{\dfrac{(cost + sint )(cost - sint)}{cos^2t}}}[/tex]
Or else we can also write it using ,
[tex]\longrightarrow cos2\phi = cos^2\phi - sin^2\phi [/tex]
Therefore ,
[tex]\longrightarrow \underline{\underline{\dfrac{cos2t}{cos^2t}}}[/tex]
And we are done !
[tex]\rule{200}{4}[/tex]
Additional info :-
Derivation of cos²x - sin²x = cos2x :-
We can rewrite cos 2x as ,
[tex]\longrightarrow cos(x + x ) [/tex]
As we know that ,
[tex]\longrightarrow cos(y + z )= cosy.cosz - siny.sinz [/tex]
So that ,
[tex]\longrightarrow cos(x+x) = cos(x).cos(x) - sin(x)sin(x) [/tex]
On simplifying,
[tex]\longrightarrow cos(x+x) = cos^2x - sin^2x [/tex]
Hence,
[tex]\longrightarrow\underline{\underline{cos (2x) = cos^2x - sin^2x }} [/tex]
[tex]\rule{200}{4}[/tex]
HELP PLEASE YOU'LL GET BRAINLIEST!!!!!
Step-by-step explanation:
oh, come on !
we have a point on the curve : (3, -2)
we simply put the values in and calculate the missing factor of x² :
-2 = f × 3² = f × 9
f = -2/9
y = -2/9 x² = -0.222222222... x²
tutorial from edmentum please help!
Answer:
[tex](\frac{3}{8} )^{-2} (\frac{1}{3}* \frac{3}{8})^3 ( \frac{1}{3} )^4[/tex]
[tex](\frac{3^-2}{8^-2} ) (\frac{1^3}{3^3}* \frac{3^3}{8^3}) ( \frac{1^4}{3^4} )[/tex]
[tex](\frac{64}{9} ) (\frac{1}{27}* \frac{27}{512}) ( \frac{1}{81} )[/tex]
[tex](\frac{64}{9} ) (\frac{1}{512}) ( \frac{1}{81} )[/tex]
Simplifies to= [tex]\frac{1}{5832}[/tex]
Answer:
you dont have to answer hte tutorials jus submit it they dont see it uwu
Step-by-step explanation:
Paul surveyed students in a high school about their favorite sport of the 1, 200 students in the school, 67 tenth-grade students were surveyed. More than half of the 67 students said their favorite sport is basketball. Based on the survey, Paul concluded that the favorite sport of most high school students is basketball.
Why is Paul's conclusion incorrect?
1 Paul surveyed too many students.
2 Paul's survey sample only included tenth graders.
3 Paul did not survey any middle school students.
4 Paul did not include enough sports in the survey.
Answer:
2 Paul's Survey sample only included tenth graders
Step-by-step explanation:
The reson why this is your answer is simple
Because this is true, he ONLY surveyed tenth-graders. He should have found for all of the students, including the other 1,100 students that didn't get surveyed.
Thanks!
HELP ASAP PLEASE! 100 POINTS!
We will use graphical method to solve it.
The inequalities are
y<2/3xy≥-x+2Graph both
We can see that the solution region is rightwards
The solution is (1.2,0.8)
Option D as the intersection point is ahead 1 unlike option A
Answer:
Given system of inequalities:
[tex]\large\begin{cases}y < \frac{2}{3}x\\y\geq-x+2\end{cases}[/tex]
When graphing inequalities:
< or > = dashed line≤ or ≥ = solid line< or ≤ = shade below the line> or ≥ = shade above the line[tex]y < \dfrac{2}{3}x[/tex]
The slope of the first inequality is 2/3, therefore at x = 1, y = 2/3.
So the correct line for the first inequality is the dotted line with the shallower slope.
As the relation is < for this inequality, the shading should be below the dotted line.
[tex]y\geq-x+2[/tex]
From inspection of the given graphs, the line of the second inequality (solid line) is the same in all graphs.
As the relation is ≥ for this inequality, the shading should be above the solid line.
Therefore, the only graph that satisfies these conclusions is graph D (attached).
HELP ME PLEASE thank you so much to who helps me :)
Answer:
π(12.1)²
Step-by-step explanation:
12.1 is the radius
Formula for base = πr²
= π(12.1)²
This tank can hold a volume of 49 062.5 cm3 of water when it is full. The top face of the tank is missing so the tank is open.
a) What volume of water (in cm3) is needed to fill this tank to a height of 15 cm from the top?
Answer:
Multiply length by width to get area.
Step-by-step explanation:
You want to compare the numbers of hours spent on recreation each week by teachers and non-teachers in your state. You take 100 random samples of 15 teachers and 100 random samples of 15 non-teachers throughout the state and record the median value of each sample. The double box-and-whisker plot shows the distributions of sample medians. Are the samples likely to be representative of all teachers and non-teachers in your state?
Yes, the samples are likely to be representative of all teachers and non-teachers in the state.
Statistical measure of central tendencyThe median, in similarity with the mean is a statistical measure of central tendency.
Since, the double box-and-whisker plot shows the distribution of sample medians, it follows that the samples are likely to be representative of all teachers and non-teachers.
Read more on central tendency measure;
https://brainly.com/question/17726154
I need help answering this. Please and thanks
Knowing the angles are equal, the value for y is 40.
Angle BisectorThe angle bisector is the line segment that divides the angle into two equal angles.
Thus, if OF is the angle bisector for EOG, the angles EOF and FOG are equal.
For finding y, you can write:
EOG=FOG
y+30=3y-50
y-3y=-50-30
-2y=-80
y=80/2
y=40
Read more about the angle bisector here:
https://brainly.com/question/24677341
What are the factors of x2 – 100? (x – 50)(x 50) (x – 10)(x 10) (x – 25)(x 4) (x – 5)(x 20)
Answer:
(x + 10)(x - 10)
Step-by-step explanation:
x² - 100 = x²- 10²
x² - 100 is the difference of two squares.
The factorization of the difference of two squares is
a² - b² = (a + b)(a - b)
x² - 100 = (x + 10)(x - 10)
a 150 pound person uses 6.2 calories per minute when walking at speed of 4 mph . How long must a person walk at this speed to used at least 200 calories ?
Answer:
4960
Step-by-step explanation:
6.2 cal = 4mph
1 cal = 6.2 * 4 = 24.8mph
200 cal = 24.8 * 200 = 4960mph
Do mark BRAINLIEST
Greg has 4 shirts: a white one, a black one, a red one, and a blue one. He also has two pairs of pants, one blue and one tan. What is the probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants? Show your work.
Answer:
he has 1/2 of a chance to get tan pants and 1/4 of a chance to get a white shirt.
Step-by-step explanation:
hope that helps, mr cleann
Answer: 1/8
Step-by-step explanation:
(W) white (B) black (R) red (BL) blue (BP) blue pants (TP) tan pants
|-------------(B)
|-------------(W)
(TP)------------- |-------------(R)
| |-------------(BL)
| |--------------(B)
| |--------------(W)
(BP)-------------|--------------(R)
|--------------(BL)
From the tree diagram, a white shirt with tan pants is one out of eight possible outcomes, so the probability of getting tan pants and a white shirt is 1/8.
100 POINTS!!!please hurry!!! find the measure of E
Answer:
Look at the attachment
DE=DFSo triangle is isosceles
<E=<F=55°PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS
Answer:
(4,10)
Step-by-step explanation:
If its reflected over the x axis it goes from -4,-10 to 4,10
how to change 35/21 into its mixed fraction
Answer:
[tex]1\frac{2}{3}[/tex]
Step-by-step explanation:
INFORMATION/REMINDS ALREADY KNOWN:
Numerator. This is the number above the fraction line. For 35/21, the numerator is 35.Denominator. This is the number below the fraction line. For 35/21, the denominator is 21.Improper fraction. This is a fraction where the numerator is greater than the denominator.Mixed number. This is a way of expressing an improper fraction by simplifying it to whole units and a smaller overall fraction. It's an integer (whole number) and a proper fraction.Step 1: Find the whole numberWe need to find the whole number first, which we accomplish by dividing the numerator by the denominator. We ignore any digits to the right of the decimal point since we are only interested in whole numbers.
[tex]35/21= 1.6666666666667 = 1[/tex]
Now that we have our whole number for the mixed fraction, we need to find our new numerator for the fraction part of the mixed number.
Step 2: Get the new numeratorWe'll use the whole number we calculated in step one (1) and multiply it by the original denominator to figure this out (21). The numerator is then subtracted from the result of that multiplication:
[tex]35 - (21 * 1) = 14[/tex]
Step 3: Our mixed fractionWe've now simplified 35/21 to a mixed number. To see it, we just need to put the whole number together with our new numerator and original denominator:
[tex]1\frac{14}{21}[/tex]
Step 4: Simplifying our fractionOur fraction (14/21) can be simplified even more in this example. To do so, we must determine the GCF (greatest common factor) of those two numbers. If you want to do it yourself, you can use our handy GCF calculator. We've done it earlier, and the GCF of 14 and 21 equals 7.
We can now divide both the new numerator and the denominator by 7 to simplify this fraction down to its lowest terms.
[tex]\frac{14}{7} = 2\\\frac{21}{7} = 3[/tex]
When we put that together, we can see that our complete answer is:\
[tex]1\frac{2}{3}[/tex]
In a survey, 250 adults and children were asked whether they know how to
a
swim. The survey data are shown in the relative frequency table.
Can swim
Cannot swim
Total
0.34
0.06
Adults
Children
0.48
0.12
Total
What percentage of the people surveyed cannot swim?
A. 40%
B. 12%
C. 6%
O O
D. 18%
Answer:
18%
Step-by-step explanation:
0.12 is 12 percent.
We also have the 0.06 percent which would just be 6 percent
We need to add up those percentages to get 18 percent, for the people surveyed that cannot swim would be 18 percent.
Our final answer is D.
In 1983, a microwave oven cost $78. 75. Today, a microwave oven costs $92. 66. If the CPI is 177, what is the relation of the actual price of a microwave oven to the expected price, to the nearest cent? a. The actual price is $46. 73 lower than the expected price. B. The actual price is $5. 59 lower than the expected price. C. The actual price is $13. 91 higher than the expected price. D. The actual price is $71. 35 higher than the expected price.
The actual price is $46.73 lower than the expected price.
What is the Formula for Consumer Price Index?
[tex]CPI_t=\frac{C_t}{C_0} * 100[/tex]
CPI=consumer price index in the current period
Ct= expected cost in current period
C₀ =cost in the base period
It is given that
Price in base period ie 1983 C₀= $78.75
The actual cost of the microwave oven = $92.66
Consumer Price Index= 177
So, expected price of microwave oven in the current period
Ct= CPIt * C₀ /100 = 177*78.75/100 = $139.39
Difference between the actual price and expected price = 139.39-92.66=$46.73
Therefore, The actual price is $46.73 lower than the expected price.
To get more about CPI visit:
https://brainly.com/question/5992428