Given:
The vertices of ΔWXY are W(-10, 4), X(-3, -1), and Y(-5, 11).
To find:
Which type of triangle is ΔWXY by its sides.
Solution:
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using distance formula, we get
[tex]WX=\sqrt{(-3-(-10))^2+(-1-4)^2}[/tex]
[tex]WX=\sqrt{(-3+10)^2+(-5)^2}[/tex]
[tex]WX=\sqrt{(7)^2+(-5)^2}[/tex]
[tex]WX=\sqrt49+25}[/tex]
[tex]WX=\sqrt{74}[/tex]
Similarly,
[tex]XY=\sqrt{\left(-5-\left(-3\right)\right)^2+\left(11-\left(-1\right)\right)^2}=2\sqrt{37}[/tex]
[tex]WY=\sqrt{\left(-5-\left(-10\right)\right)^2+\left(11-4\right)^2}=\sqrt{74}[/tex]
Now,
[tex]WX=WY[/tex]
So, triangle is an isosceles triangles.
and,
[tex]WX^2+WY^2=(\sqrt{74})^2+(\sqrt{74})^2[/tex]
[tex]WX^2+WY^2=74+74[/tex]
[tex]WX^2+WY^2=148[/tex]
[tex]WX^2+WY^2=(2\sqrt{37})^2[/tex]
[tex]WX^2+WY^2=WY^2[/tex]
So, triangle is right angled triangle.
Therefore, the ΔWXY is an isosceles right angle triangle.
Evaluate 2x+6y when x=−45 and y=13. Write your answer as a fraction or mixed number in simplest form.
The value of the expression is
Answer:
2x+6y
-8/5 + 6/3
-24/15 + 30/15 = -6/15 = -2/3
Hope this help's plz Mark brainliest plz plz :)
4 times 1/3 (fraction form) will give brainlest
Answer:
4/3
Step-by-step explanation:
I used a site and my calculator
4 times 1/3 in fraction form is 4/3.
To multiply a whole number by a fraction, we multiply the whole number by the numerator of the fraction and keep the denominator the same.
In this case, we want to multiply 4 by 1/3:
4 × (1/3)
= (4 × 1) / 3
= 4/3
Therefore, 4 times 1/3 in fraction form is 4/3.
To learn more on Fractions click:
https://brainly.com/question/10354322
#SPJ6
may someone please tell me the answer
Quick I need help on this, please
The screenshot below ( Will Mark As Brainlliest )
Answer:
Rate of change/slope: 35
Miles at 10 hours: 350
Step-by-step explanation:
We can find the rate of change or the slope by using the slope formula below:
m = (y2-y1)/(x2-x1) where m is the slope
To find the slope, we can choose any two points from the table. I will choose (2,70) and (4,140)
m = (140-70)/(4-2)
m = 70/2
m = 35
The rate of change is 35 miles per hour
To find the miles at 10 hours, we can use the equation y = mx + b which is the equation of the line in slope intercept form. However, we will need to find the value of b. To do that, we can plug in any point from the table to find the value of b. I'll choose (2,70).
y = mx + b
70 = 35(2) + b
70 = 70 + b
b = 0
So the equation of the line would be y = 35x. Using this equation, we can find the number of miles at 10 hours:
y = 35(10)
y = 350
The number of miles at 10 hours is 350 miles
PLEASE I REALLY NEED HELP I WILL GIVE 12 PIONTS FOR THE CORRECT ANSWER
Simplify:
-10(x – 7) – 3x
A. -13x + 70
B. -13x + 3
C. 7x + 7
D. 7x + 10
Answer:
A
Step-by-step explanation:
First, we can FOIL the term "[tex]-10(x-7)[/tex]":
[tex]-10x+70[/tex]
Back into the original equation:
[tex]-10x+70-3x[/tex]
Combine like terms:
[tex]-13x+70[/tex]
Hope this helps!
Answer:
A. -13x + 70
I had this question before.
What is the slope of the line that passes through the points (-5, 0) and (7, 8) ? Write your answer in simplest form
Answer
two-thirds
Step-by-step explanation:
8 over 1 2simplified is 2 over 3
i need those 2 questionssss
Answer:
48-3Step-by-step explanation:
For first question:
Plug in the value of x: y = 12(4)12(4) = 12 × 4 = 48So, y = 48For second question:
Plug in the value of x: y = 2(2) - 7Simplify: 4 - 74 - 7 = -3So, y = -3I hope this helps!
Will give brainliest give the answer and steps
Pls help will give brainliest only if it is a proper answer
Solve the equation for the indicated variable
3. 3m - 7n = p for m
Answer:
m = (p+7n)/3
Step-by-step explanation:
3m-7n = p
3m = p+7n
m = (p+7n)/3
PLEASE HELP I NEED THE ANSWER TO THIS!!!
Which of the following expressions is in simplified form?
11/2 n + 2.9n
4w - 5
-2 + 1.4m + 0.5
9j - 3 - j
Answer: 4w - 5 is in simplified form.
Step-by-step explanation:
The other expressions have like terms that can be combined.
Alex bought 8 postcards in 4 days. At this rate, how many postcards would he have after 10 days?
18
80
20
40
Answer:
20
Step-by-step explanation:
Answer:
80
Step-by-step explanation:
A group of 6 students was asked, "How many hours did you watch television last week?" Here are their responses. 11, 17, 13, 11, 5, 19 Find the mean number of hours for these students. If necessary, round your answer to the nearest tenth.
Answer:
Mean=13
Step-by-step explanation:
Mean = sum of number/ total number
Total number= 6
Number are . 11, 17, 13, 11, 5, 19
Mean=11+17+13+11+5+19/6
=76/6=12.66
Nearest tenth of 12.66=13
Plz help me with my math
Can someone help me please
Answer:
C is your answer
Step-by-step explanation:
So when you are looking at problems like these, the amount of red lines will match on the triangles when that side is congruent. For instance, SQ and YW both have 3 lines, so they are congruent. Its the same with angles. If they have the same amount of arches they are also congruent.
100000000000000000000000000000000000000000+53624785326348756348927563482564328965342875634289573264
will make brainlies
Answer:
5.3624785e+55
Step-by-step explanation:
Answer:
63624785326348756348927563482564328965342875634289573264
Step-by-step explanation:
plz gib brainly
In the figure below, JK=8 and JL = 25. Find KL.
J
K
KL =
X 6
?
Answer:
i dont see anything maybe try uploading it again
Step-by-step explanation:
Answer:
KL = 17Step-by-step explanation:
JK = 8
JL = 25
find KL
JK + KL = JK
8 + KL = 25
KL = 25 - 8
KL = 17
resultado de (+23) – (-34)
Answer:
57
Step-by-step explanation:
23-(-34) = 57
(finge que el -(- es un plus)
Answer:
57
Step-by-step explanation:
if u subtract from a negative it is the same as adding a positive. So instead of 23 - (-34) you should do the equation 23 + 34 which equals 57.
1. A store had apples on sale for $1.20 a pound.
Jimmy spent $5.28 on apples.
How many pounds did did he buy?
Answer:
4.4 pounds
Step-by-step explanation:
$5.28/$1.2 which is 4.4 pounds
Hope this helps plz mark brainliest if correct :D
Answer:
He bought 4.4 Pounds
Step-by-step explanation:
5.28/1.20= 4.4
6 -7- 2 =
Worth 10 points
Answer:
-3
Step-by-step explanation:
Mark me as brainliest
I need help and fast what is 6/2(1+2)?
Answer: the answer is 9
Step-by-step explanation:
Answer:
6÷2×3=3×3=9
Step-by-step explanation:
6÷2×3
3×3
9
CAN SOMEONE PLEASE HELP ILL MARK AS BRAINLIST
Answer:
g3,2 h 4,4
Step-by-step explanation:
Find all real square roots of 16.
If there is more than one answer, separate them with commas.
If there are none, click on "None".
4
that is the only one
Im so confused, how do i get the variance with just the standard deviation
Answer:
To figure out the variance, divide the sum, 82.5, by N-1, which is the sample size (in this case 10) minus 1. The result is a variance of 82.5/9 = 9.17. Standard deviation is the square root of the variance so that the standard deviation would be about 3.03.
hope this helps!
i need to find the value of x
Answer:
x = [tex]\sqrt{21}[/tex]
Step-by-step explanation:
AC² = AB² + BC²
BC² = 3² + x² = 9 + x²
AB² = 7² + x² = 49 + x²
But AC² = (7 + 3)² = 100
∴ 100 = 49 + x² + 9 + x²
2x² + 58 = 100
x² = 50 - 29 = 21
x = [tex]\sqrt{21}[/tex]
Answer: the answer is the square root of 21.
Step-by-step explanation:
What I did was I just multiplied 7 times 3 and got 21 and that was the answer.
The credit remaining on a phone card (in dollars) is a liner function of the total calling time made with the card (in minutes) the remaining credit after 30 minutes of calls is $15.20 of the remaining credit after 46 minutes of the call is $12.64 what is the remaining credit after 54 minutes of calls?
Answer:
$11.36 (11 dollars and 36 cents).
Step-by-step explanation:
This scenario can be written as the linear equation: y = -$0.16x + $20 Where y is the remaining credit, and x is the minutes spend calling.
To find the remaining credit after 54 minutes,
substitute 54 for x and simplify.
So y = -$0.16(54) + $19.60 = -$8.64 + $20.00 =
$20.00 - $8.64 = $11.36.
_________________________
If you want to solve this problem from scratch, first find the constant rate of money by subtracting 30 minutes (time) over $15.20(total) by 46 minutes over $12.64(total).
Just subtract across, and simplify to get the rate, and then apply that rate between the missing total of 54 minutes and the total of $12.64 dollars for 46 minutes. This is because rate = change quantity/change in time. If that rate is constant as it is in this relationship where the quantity is the amount of anything that is dependent on something, in this case it's money.
So subtract (find the difference) to find the pattern of change between these values in respect to time.
15.20/ 30 - 12.64 / 46 = 2.56 / -16 = 1.28 / -8 = 0.64 / -4 = 0.32 / -2 = 0.16 / -1 = -0.16 [This is the rate decrease in money every minute of a call being made or decrease in remaining credit every minute ].
Now since we know the rate, we can solve the missing factor of the problem by multiplying the rate by the change in time to get the change in quantity.
So : 54 - 46 = 8. 8 × 0.16 = 1.28 [This is the change in quantity from 46 to 54 minutes of calling ].
Therefore, $12.64 [remaining credit from 46 minutes ] - $1.28 [the change of credit from 46 minutes to 54] = $11.36 [remaining credit from 54 minutes].
Also in general, Rate = dependent variable / independent variable.
Which equation represents exponential decay?
Guys Please help
This is math
Answer:
9
Step-by-step explanation: replace x with 3 then do 6+ 3
Answer:
9
Step-by-step explanation:
you replace the x with a 3 and you get 6+3 which is 9
– 6x + 11 = – 7 step by step
First let's add 6x to both sides. We do this because the 6x is negative and by adding 6x to both sides, we are isolating the 11 and we are also making the 6x positive, which makes things easier later.
-6x + 11 = -7
+6x +6x
11 = -7 + 6x
Now let's flip the equation to make it easier to read:
-7 + 6x = 11
And let's add 7 to both sides as we need to isolate the 6x. We are adding 7 because the 7 is negative.
6x = 18
And finally to get the value of x we divide both sides by 6:
x = 3
I hope this helped, and have a great night! :)
The midpoint of XY is point M (-12,5) if the coordinates of x are (3,-3) what are the coordinates pf y
Answer:
The midpoint of XY is point
M(�12, 5). If the coordinates
of X are (3, �3), what are the
coordinates of Y ?
----
Each coordinate of the midpoint is the average
of the corresponding endpoint coordinate.
----
Solve:
Let the coordinates of Y be (x,y)
---
(3+x)/2 = -12
3+x = -24
x = -27
----
(-3+y)/2= 5
-3+y=10
y = 13
---
Coordinates Y: (-27,13)
==========================
Cheers,
Stan H.
If Cade shoots 318 free throw baskets in 4 hours, about how many can he shoot in 7 hours?
Answer:
556.5
Step-by-step explanation:
318 divided by 4
take that number and multiply by 7
Answer:
557
Step-by-step explanation:
318:4=x:7
x=318x7/4
