Answer:
[tex]\boxed{\textsf{ The lenght of segment is \textbf{ 10}$\sqrt{\textbf{2}} $ \textbf{ units }.}}[/tex]
Step-by-step explanation:
We need to find the lenght of the segment drawn from (-5,2) to (5,-8) . Basically here we need to find the distance between the two points .
Here we can use Distance Formula , which is used to find the distance between two points .
[tex]\rule{200}2[/tex]
★ Distance Formula :-
If we need to find the distance between two points say , [tex]\sf ( x_1,y_1 ) \:\:\:\: \& \:\:\:\: ( x_2,y_2) [/tex] , then we can find out the distance as ,
[tex]\boxed{\boxed{ \sf Distance =\sqrt{ ( x_2-x_1)^2+(y_2-y_1)^2 } }}[/tex]
[tex]\rule{200}2[/tex]
Put on the respective values ,
[tex]\sf\implies Distance =\sqrt{ ( x_2-x_1)^2+(y_2-y_1)^2 } \\\\\sf\implies Distance =\sqrt{ ( -5-5)^2+(2+8)^2 }\\\\\sf\implies Distance= \sqrt{ (-10)^2+(10)^2 }\\\\\sf\implies Distance =\sqrt{ 100+100}\\\\\sf\implies Distance =\sqrt{200}\\\\\sf\implies Distance =\sqrt{2\times 10\times 10}\\\\\sf\implies \boxed{\pink{\frak{ Distance = 10\sqrt{2} \:\; units }}}[/tex]
b is 30 more than a. b is 6 times as many as a. Find the values of a and b.
Answer:
a = 6 and b = 36
Step-by-step explanation:
Set up equations:
b = 30 + a
b = 6a
Subtract the two equations:
b = 6a
- (b = 30 + a)
5a - 30 = 0
5a = 30
divide both sides by 5
a = 6
Plug a = 6 into the original equation:
b = 30 + 6
b = 36
you could also do:
b = 6 * 6
b = 36
Answer:
Step-by-step explanation:
A line has a slope of 2. It passes through the points, (1,2) and (3,y) . what is the value of y?
Answer:
y=6
Step-by-step explanation:
y=mx+b
y=2x+0
the y-intercept is at the origin so going off that when you go to put your line on a graph you come off with the points (0,0) (1,2) (2,4) and finally your answer (3,6)
Make x the subject of the formula a = b x + c
Answer:
[tex] x = \frac{a - c}{b}[/tex]
Step-by-step explanation:
[tex]a = bx + c \\ \\ a - c = bx \\ \\ \orange{ \bold{x = \frac{a - c}{b}}} [/tex]
I need help. This is due tonight at 11:59 pm
Answer:
Answer: $118.50 per day
Step-by-step explanation:
1,000-348.25= 651.75
651.75÷5.5= 118.50
Find x so that a is parallel to b. state the converse used
Answer:
x = 7
If a is parallel to b, then 9(7) + 11 = 74.
Step-by-step explanation:
We don't know if the lines are parallel, so we need to see what x is in 9x + 11 = 74, then substitute that value for x in the equation. If both sides are true, the two lines are parallel.
9x + 11 = 74
Step 1: Subtract 11 from both sides.
9x = 63
Step 2: Divide both sides by 9.
x = 7
To make sure, let's substitute 7 for x in the earlier equation.
9(7) + 11 = 74
Step 3: Multiply 9 by 7 to get 63.
63 + 11 = 74
Step 4: Add 11 to 63 to get 74.
74 = 74
The two sides are equal, so a and b are parallel. The definition of a converse is the reverse of a conditional statement. As a result, the converse here is "If a is parallel to b, then 9(7) + 11 = 74."
Fine floors can install 15 square yards of carpeting in 4 hours and 30 minutes. At this rate, how long would it take to install carpet in a room that measures 11 feet 9 inches by 13 feet 4 inches?
Answer:
5 hours and 13 minutes
Step-by-step explanation:
Hope this helps!! Please mark brainlliest.
so I don't know what 5*7 is because it confusing
Answer:
35/16
Explanation:
(5*7)/2^4
= 35/2^4
= 35/16
Note:
Please mark as brainliest! <3
PLEASE HELP! INVERSE QUESTION!
Last one.
Hope this helps.
Which of the following is a solution to the inequality below?
10b≤ 59
A.) b=2
B.) b=7
C.) b=11
D.) b=9
Answer:
A.) b=2
Step-by-step explanation:
10b ≤ 59
Divide both sides by 10.
b ≤ 5.9
Any number that is 5.9 or less than 5.9 is a solution.
The only such number in the choices is 2.
Answer: A.) b=2
Find angle picture below
Answer:
T = 67.5
V = 22.5
Step-by-step explanation:
The Sum of triangle angles = 180
180 = W + T + V
180 = 90 + 3X + X
X = 22.5
A polynomial function has a root of 6 with multiplicity 1, a root of -2 with multiplicity 3, a root of 0 with multiplicity 2
and a root of 4 with multiplicity 3. If the function has a positive leading coefficient and is of odd degree, which
statement about the graph is true?
The graph of the function is positive on (-6, -2).
The graph of the function is negative on (-00, 0).
The graph of the function is positive on (-2, 4).
The graph of the function is negative on (4,00).
Answer:
Step-by-step explanation:
This graph is a monster. No one should solve it by hand. Desmos drew the one below. The way the graph looks, I would say it is negative at (4,0)
The first choice isn't a point on the graph.
(0,0) goes both ways.
(-2,4) is positive.
Given that R = 6x + 9y
Find y when X = 1 and R= 39
Give your answer as an improper fraction in its simplest form.
y=
Answer:
11/3
Step-by-step explanation:
x=1, R=39, y=?
R=6x + 9y
(substitute the parameters into the equation)
39=6(1) + 9y
39= 6 + 9y
(collect like terms)
39 - 6 =9y
33=9y
(divide both sides by 9)
33/9=9y/9
11/3=y
therefore, y= 11/3
2x + 3 – 4 = 5x - 7
2
-2
- 9
9
2x + 3 - 4 = 5x - 7
=> 2x + 3 - 4 + 7 = 5x
=> 3 - 4 + 7 = 5x - 2x
=> 3 - 4 + 7 = 3x
=> -1 + 7 = 3x
=> 6 = 3x
=> 6/3 = x
=> 2 = x
Step-by-step explanation:
2x + 3 - 4 = 5x - 7 2x - 1 = 5x - 7 (-1 + 7 )= 5x - 2x6 = 3x 6 ÷ 3 = x2 = xMARK ME AS BRAINLISTCan ya’ll help mee?? Thnksss❤️
The san andreas fault began to form approximately 25 million years ago. during that 25 million year period the fault has grown to be 2,600 km in length. On average, how much has the fault grown per year over 25 million years?
Plss give the solution for me to study... thnkss❤️
Answer:
.000104 km per year or .104 m per year
Step-by-step explanation:
divide 2600 by 25 million
For f(x) = 2x+1 and g(x) = x2 – 7, find (f/g)(x)
Step-by-step explanation:
Since f(x) is "2x + 1" and g(x) is "x2 - 7" then f(x) + g(x) [which is the same as (f + g)(x)] is "2x + 1" + "x2 - 7" which is 2x + 1 + x2 - 7 or x2 + 2x - 6
So (f + g)(x) = x2 + 2x - 6
is it right? i hope it is
Mike spent 11/12 hour talking on his cell phone. Brent spent 7/12 hour talking on his cell phone. How much more time did mike spend on his cell phone than Brent?
Write in the simplest form. Be sure to put your answer as well as the unit (hour).
Answer:
1/3
Step-by-step explanation:
Kelsey uses the similarity statement Triangle R S T is similar to triangle R U V to describe the triangles below.
Triangle R U V. Side V R is 4 centimeters, R U is 1.5 centimeters, and V U is 2.7 centimeters. Triangle R S T. Side R S is 3.0 centimeters, R T is 8.0 centimeters, and S T is 5.4 centimeters.
Which best describes the accuracy of her statement?
Accurate. Each pair of sides corresponds with a common ratio of 2.
Accurate. The description of each triangle begins at the same vertex.
Inaccurate. In the order listed, the ratio between each pair of sides is different.
Inaccurate. The description of the triangles in the similarity statement moves clockwise in one triangle and counterclockwise in the other triangle.
Answer:
A
Accurate. Each pair of sides corresponds with a common ratio of 2.
Step-by-step explanation:
edge 2021
Each pair of sides corresponds with a common ratio of 2. The correct option is A.
What is the similarity?If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.
If two figures have three sides similar then they will be similar by side-by-side property which is written as SSS.
Given that Triangle R U V. Side V R is 4 centimetres, R U is 1.5 centimetres, and V U is 2.7 centimetres. Triangle R S T. Side R S is 3.0 centimetres, R T is 8.0 centimetres, and S T is 5.4 centimetres.
The two triangles have a common ratio of 2.
R U = 1.5 cm
R S = 3.0 cm
V R = 4 cm
R T = 8.0 cm
The correct option is A.
To know more about similarities follow
https://brainly.com/question/24184322
#SPJ6
WILL MARK BRAINLIEST AND EXTRA POINTS ONLY HAVE 5 MINS
Answer:
1/3?
Step-by-step explanation:
remi and vishal start at the same point and begin jogging in different directions. remi is jogging east at a speed of 4 miles per hour. vishal is jogging South at a speed of 2 miles per hour. after how many hours will they be exactly 12 miles apart
Answer:
2.68 hours
Step-by-step explanation:
What is the equation of the function that is graphed as line b?
Answer:
I feel like this is a trick question
----
Help me with this please 100 points if its done right
Answer:
[tex]P=24\sqrt{x}[/tex] and [tex]A=36x[/tex]
Step-by-step explanation:
To find the perimeter of the triangle, you have to add all the sides of the triangle. So, we get:
[tex]P=8\sqrt{x} +7\sqrt{x} +9\sqrt{x}[/tex]
Combine like terms, meaning the numbers with [tex]\sqrt{x}[/tex]
[tex]P=24\sqrt{x}[/tex]
To find the area of the triangle, we will use the formula [tex]A=\frac{1}{2} bh[/tex], where b is the base and h is the height
The base is: [tex]9\sqrt{x}[/tex]
The height is: [tex]8\sqrt{x}[/tex]
Plug and chug:
[tex]A=\frac{1}{2} *9\sqrt{x} *8\sqrt{x}[/tex]
[tex]A=\frac{1}{2} *72x\\A=36x[/tex]
which is cube number
Answer:
??????
Step-by-step explanation:
Answer:
2³ = 2 × 2 × 2 = 8.
3³ = 3 × 3 × 3 = 27.
4³ = 4 × 4 × 4 = 64.
5³ = 5 × 5 × 5 =125.
Step-by-step explanation:
A map has a scale of 1/2 inches=16 miles the distance between two parks on the map is 2 3/4 inches how many miles apart are the parks
Answer:
88
Step-by-step explanation:
Find the value of x
PLEASE HELP!!
Answer:
x =45
Step-by-step explanation:
The two angles form a straight line so they add to 180 degrees
3x+45 = 180
Subtract 45 from each side
3x+45-45 =180-45
3x= 135
Divide by 3
3x/3 = 145/3
x =45
What is the solution to the equation?
Answer:
32.13
Step-by-step explanation:
g = 15.3 x 2.1 = 32.13
Answer:
g= 15.3 *2.1= 32.13
Hence answer is 32.13
If a guy named josh got 45 bucks for his b-day and already had 237 bucks. How much money does josh have all together.
Will give brainly!!!!!!
Answer:
That’s easy it is 282
Step-by-step explanation:
He will now have 282 bucks altogether.
Step-by-step explanation:
We already know that he has 237 bucks before his birthday, but now he has an additional 45 bucks that he got from his birthday. With this, you can create an equation that looks like this: 237+45. You then solve the equation by adding 45 to 237, which gets you 282 bucks altogether.
pls helppppppppppppppppppppp
Answer:
10 2/3
Step-by-step explanation:
Multiply 4 and 2 and then multiply 2 and 4. If you do that then you get 8 8/3. You then just take the numerator and turn it into whole numbers to get 10 2/3.
what is the value of 1/3x squared + 5.2y when x=3 and Y=2
Answer:
13.4
Step-by-step explanation:
1/3(3²) + 5.2(2) = 3 + 10.4
A teacher gives her class a particular examination on mathematics at the end of each year. The results are normally distributed with a mean test score of 60 and a standard deviation of 8. The teacher has told the class that students with a test score in the top 2.5% will win a special prize. Calculate the test score above which 2.5% of all test scores lie. Give your answer to 1 decimal place. Test score
Answer:
Test score of 75.7.
Step-by-step explanation:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The results are normally distributed with a mean test score of 60 and a standard deviation of 8.
This means that [tex]\mu = 60, \sigma = 8[/tex]
Calculate the test score above which 2.5% of all test scores lie.
Above the 100 - 2.5 = 97.5th percentile, which is the value of X when Z has a pvalue of 0.975, so X when Z = 1.96.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.96 = \frac{X - 60}{8}[/tex]
[tex]X - 60 = 8*1.96[/tex]
[tex]X = 75.7[/tex]
Test score of 75.7.
KEVIN USES EACH OF THE DIDGETS 5,7,4 AND 9, ONCE AND ONCE ONLY. TO MAKE FOUR DIDGET NUMBERS. WHATS THE LARGEST AND SMALLEST NUMBER HE CAN MAKE?
Answer:
9754 and 5794
Step-by-step explanation:
Answer:
Largest - 9,754
Smallest - 4,579
Step-by-step explanation:
