Answer:
The distance between 2 points is 16.1 units.
Step-by-step explanation:
You have to apply distance formula using coordinates,
[tex]distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]
Let (x1,y1) be (-6,2),
Let (x2,y2) be (8,10)
[tex]distance = \sqrt{ {(8 - ( - 6))}^{2} + {(10 - 2)}^{2} } [/tex]
[tex]distance = \sqrt{196 + 64} [/tex]
[tex]distance = \sqrt{260} [/tex]
[tex]distance = 2 \sqrt{65} [/tex]
[tex]distance = 16.1 \: units \: (3s.f)[/tex]
What is the slope of the line represented by the equation y = y equals StartFraction 4 Over 5 EndFraction x minus 3.x – 3?
-3
-4/5
4/5
3
Answer:
4 Over 5 (4/5)
Step-by-step explanation:
we have
[tex]y=\frac{4}{5}x-3[/tex]
This is the equation of a line in slope intercept form
[tex]y=mx+b[/tex]
where
m is the slope
b is the y-intercept
In this problem we have
[tex]m=\frac{4}{5}[/tex]
[tex]b=-3[/tex]
therefore
The slope is [tex]\frac{4}{5}[/tex]
The slope of the given line is equivalent to 4/5.
Determining the slope of a lineThe equation of a line in slope intercept form is expressed as y = mx + b
where:
m is the slope
b is the y-intercept
Given the equation of a line y = 4/5x. - 3, we are to determine its slope
In this case, the coefficient of x is (4/5), which represents the slope of the line.
m = 4/5
Therefore, the slope of the line is 4/5.
Learn more on slope here: https://brainly.com/question/16949303
#SPJ2
Change.83 to a fraction.
83
[?]
it’s for acellus and it’s not 100 apparently please help as soon as you can
Answer:
83/100
Step-by-step explanation:
Decimals to fractions
3x +12 =90 what is x
Answer:
x=26
Step-by-step explanation:
3x +12 =90
subtract 12 from each side
3x=78
divide 3 from each side
x=26
Answer:
x = 26
Step-by-step explanation:
Before we begin, we must first remember that to solve for x, we have to get the variable (x) by itself.
To start, you would first subtract 12 from the left and right side of the equation.
3x + 12 - (12) = 90 - (12)
The 12 would cancel out on the left side (12 - 12 = 0) and you would now be left with 3x = 78.
Next, you would divide the left and ride side by 3.
3x ÷ 3 = 78 ÷ 3
This gives you the answer of 1x = 26 or x = 26
solve for a side in right triangles
Answer:
4.28
Step-by-step explanation:
Prana has a savings account and a chequing
account with a total balance of $85.
His parents doubled the amount in each
account and the new total balance is $170.
How much money does Prana have in each
account?
Answer:
There is no unique solution to this problem and there are infinite number of possible solutions which can satisfy these equations.
Step-by-step explanation:
Let S represents Prana's savings account and C represents Prana's chequing account.
Prana has a savings account and a chequing account with a total balance of $85.
Mathematically,
S + C = 85 eq. 1
His parents doubled the amount in each account and the new total balance is $170.
Mathematically,
2(S + C) = 170
2S + 2C = 170 eq. 2
We have two equations and two unknowns.
S + C = 85
S = 85 - C
Substitute the above equation into eq. 2
2S + 2C = 170
2(85 - C) + 2C = 170
170 - 2C + 2C = 170
2C + 2C = 170 - 170
0 = 0
So what does it mean?
it means that there is no unique solution to this problem and there are infinite number of possible solutions which can satisfy these equations.
Analyze the zeros of f(x) = x* - 3x - 2x2 + 3x - 5.
Determine the integral intervals where the zeros are located.
A.-2& -1 and 2&3
C.-2& -1 and 3&4
B.0&1 and 1&2
D.-1 & 0 and 3&4
Please select the best answer from the choices provided
Its C, I did a test
What is the theoretical probability of not rolling a 2?
Answer:
Theoretical probability is based upon what is expected when rolling two dice, as seen in the "sum" table at the right. The theoretical probability of rolling an 8 is 5 times out of 36 rolls. The theoretical probability = 5/36 ≈ 13.9%. 3) The experiment rolled more 8's than would be expected theoretically.
Step-by-step explanation:
The theoretical probability of not rolling a 2 is 5/6.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
Assuming a fair six-sided die, the probability of rolling a 2 is 1/6.
Therefore, the probability of not rolling a 2 on a single roll of the die is:
P(not rolling a 2) = 1 - P(rolling a 2) = 1 - 1/6 = 5/6
Thus,
The theoretical probability of not rolling a 2 is 5/6.
Learn more about probability here:
https://brainly.com/question/14099682
#SPJ3
Which list orders the numbers from least to greatest?
3,-25, 12, -23.1
13
Answer:
-25, -23.1, 3, 12, 13
Answer:
-25, -23.1, 3, 12, 13
Step-by-step explanation:
A circle with radius \pink{10}10start color #ff00af, 10, end color #ff00af has a sector with a central angle of \purple{\dfrac{2}{5}\pi} 5 2 πstart color #9d38bd, start fraction, 2, divided by, 5, end fraction, pi, end color #9d38bd radians . What is the area of the sector? Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.
Answer:
Area of the sector = [tex]20\pi units^{2}[/tex]Step-by-step explanation:
Area of a sector = [tex]\frac{\theta}{360} * \pi r^{2}[/tex]
Given radius r = 10units
[tex]\theta = \frac{2\pi}{5}[/tex]
[tex]\pi = 3.14[/tex]
substituting the given values into the equation above;
Area of the sector = [tex]\frac{2\pi}{5*360} * \pi *10^{2}[/tex]
Area of the sector [tex]=\frac{100\pi}{5}[/tex]
Area of the sector = [tex]20\pi units^{2}[/tex]
Xavier, Thomas, and Mei had 650 marbles. Thomas had 3 times as many marbles as Mei. Mei had 50 fewer marbles than Xavier. How many marbles did Xavier and Mei have altogether? *
Answer: 230 Marbles
Step-by-step explanation:
Let Xavier marbles be x
Let Thomas marbles be y
Let Mei marbles be z
Xavier, Thomas, and Mei had 650 marbles.
x + y + z = 650
Thomas had 3 times as many marbles as Mei.
y = 3 × z
y = 3z
Mei had 50 fewer marbles than Xavier.
x = z - 50
We can plug all the equation gotten back into the first equation
x + y + z = 650
Since y = 3z and x = z - 50
x + y + z = 650
(z - 50) + 3z + z = 650
z - 50 + 3z + z = 650
5z - 50 = 650
5z = 650 + 50
5z = 700
z = 700/5
z = 140
Mei has 140 marbles
Since x = z - 50
x = 140 - 50
x = 90
Xavier has 90 marbles
y = 3z
y = 3 × 140
y = 420
Thomas has 420 marbles
Xavier and Mei marbles = 90 + 140
= 230 marbles
Ricky bought beans and yams for $6.35. He paid $3.15 for all the beans and
$0.40 for each yam. How many yams did he buy?
Answer:
8
Step-by-step explanation:
6.35- 3.15 is 3.20.
3.20÷.40=8
hope this helps :)
answer quick for brainliest!
Answer:
b
Step-by-step explanation:
it is the only linar one
Mary invests £12000 into a savings account. The account pays 1.5% compound interest per year.
Work out the value of her investment after two years.
Answer:
£12,362.70
Step-by-step explanation:
I used the compound interest formula to work this out.
£12,000 (original amount) x 1.015²
1.015 = 1.5% --- squared because the investment was 2 years.
Hope this helps :D
a sweater is marked down 15% off the original price. if the original price was $49.00 what is the sale price of the sweater before sales tax
Answer:
41.65
Step-by-step explanation:
"None for now"
Answer:
41.65
Step-by-step explanation:
100% - 15% = 85%
85% of 49 is 41.65 or 0.85x49=41.65
x =
y =
m ∠ H =
m ∠ G =
Answer:
x=53
y=26
H=106
G=93
Step-by-step explanation:
By the inscribed quadrilateral conjecture:
[tex]2x+(x+21)=180\\(3y+9)+(4y-11)=180\\3x+21=180\\3x=159\\x=53\\7y-2=180\\7y=182\\y=26\\H=2(53)=106\\G=(4(26)-11)=104-11=93[/tex]
Hope this helps!
Please help! Correct answers only please!
You flip a coin twice.
What is the probability of getting heads and then getting heads?
Write your answer as a percentage.
Answer:
25%
Step-by-step explanation:
The chance of getting a heads each time is 1/2. Since they are both independent events, you can multiply them together to get a total probability of 1/4 or 25%. Hope this helps!
Apply the distributive property to create an equivalent expression.
2(3-8y) =
It is from khanacademy *********not multiple choice
Answer:
6-16y
Step-by-step explanation:
Multiply 2 by the numbers inside the parentheses.
y = 4x - 3
y= 2x + 13
Answer:
x = 9, y = 29 or (8,29)
Step-by-step explanation:
Set the equations equal to each other because they both equal y:
4x - 3 = 2x + 13
Combine like terms:
2x = 16
Divide by 2:
x = 8
Plug 8 into the x for both equations and see if the y is the same:
y = 4(8) - 3 = 32 - 3 = 29
y = 2(8) + 13 = 16 + 13 = 29
Hi Guys i need Ya'lls Help On this
Which answer best describes how to solve this story problem?
There are 4 fewer blue pens in a box than black pens. There are 15 black pens in each box.
How many blue pens are in 3 boxes?
Add 15 and 4. Then multiply the sum by 3.
Subtract 4 from 15. Then multiply the difference by 3.
Subtract 4 from 15. Then divide the difference by 3.
Answer:
the answer is: "Subtract 4 from 15. Then multiply the difference by 3."
Step-by-step explanation:
If there are 4 fewer blue pens in a box than black pens, and there are 15 black pens in each box, then that means there are 11 blue pens in each box.
So then, how many blue pens are in 3 boxes? There are 33 blue pens in 3 boxes, you can find this out by multiplying, 11 by 3.
the numerical answer is:
11 x 3 = 33
or, 3 x ( 15 - 4)
I hoped this helped!
Blake walked 7/8 of a mile in 1/5
of an hour. If Blake continued walking at the same rate, what is the distance he would travel in one hour?
Answer: 4 3/8
Step-by-step explanation:
If he walks 7/8 every 1/5 of an hour, we can multiply that by 5 to get how much he travels every hour. 7/8 * 5=35/8. 35/8 simplifies to 4 3/8
What are the solutions to 2x^2+7y=4 ? Select all that apply.
1/2
4
-1/2
-4
7
-7
Answer:
x = -1/2 , 4
Step-by-step explanation:
1) If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
2x+1=0
x−4=0
2) Set the first factor equal to 0.
2x+1=0
3) Subtract 1 from both sides of the equation.
2x=−1
4) Divide each term by 2 and simplify.
2x/2= −1/2
5) Cancel the common factor of 2.
x= −1/2
6) Move the negative in front of the fraction.
x = −1/2
7) Set the next factor equal to 0 and solve.
x=4
8) The final solution is all the values that make
(2x+1)(x−4) = 0 true.
9) x = −1/2 , 4
During a power outage, Mason burns candles for light. Each candle was initially 12 inches long. He wants to know how long they will last. The candles burn at a constant rate, and Mason measures them twice and records their height each time in the
What is the value of X in the figure?
find the area of the circle
Answer:
A =153.86 m^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
The radius is 7 and we can approximate pi by 3.14
A = 3.14 *7^2
A =153.86 m^2
Someone please help me with this
Answer:
16 sq. in
Step-by-step explanation:
I think you are asking for the area. The rectangle to the right of the dotted line has dimensions of 4 by 3, so its area is 4 * 3 = 12. We know one of the small rectangle's dimensions, 2, but we don't know the height. However, we see that the difference between the heights of the two figures is 1, and we already know the height of the larger rectangle is 3, so the height of the smaller square is 2. This makes its area 2 * 2 = 4. The total area would then be 12 + 4 = 16 sq. inches. Hope this helps!
Lewis was driving at 90 km per hour when he sneezed.
During the sneeze, his eyes were closed for half a second.
Work out how many metres he travelled in this time.
Answer:
12.5 m
Step-by-step explanation:
recall that 1 km = 1000 m
hence 90 km/h is equivalent to 90 km/h x 1000 m/km = 90,000 m/hr
also recall that 1 hour = 60 x 60 = 3600 s
hence 90,000 m/hr is equivalent to 90,000 m/hr x (1/3600) hr/s = 25 m/s.
given that is eyes were closed for 0.5 s.
in 0.5s, he travelled :
0.5s x 25 m/s = 12.5 m
West High School has a math building in the shape of a regular octagon. When Mrs. Woods measures an interior angle of the octagon (which is inside her classroom), she gets 135°.
Mrs. Wood’s ceiling is 10.0 feet high and the length of one side of the building is 25.0 feet. What is the volume of West High School’s math building?
Answer:
8 sides
The building is an octagon
Step-by-step explanation:
The sum of all the interior angles in a polygon can be found by the equation
S
=
180
(
n
−
2
)
where
n
is the number of sides the polygon has.
We know that one interior angle is
135
degrees and that all the interior angles are the same because this is a regular polygon. So the sum of the angles must be
135
n
(
135
degrees times the number of sides, or the number of angles).
135
n
=
180
(
n
−
2
)
135
n
=
180
n
−
360
135
n
+
360
=
180
n
45
n
=
360
n
=
8
→
There are
8
sides and
8
interior angles of
135
degrees
What is the volume of this rectangular prism?
Answer:
[tex]9 \frac{1}{3} {cm}^{3} [/tex]
Step-by-step explanation:
[tex]v = whl \\ = 2 \times 2 \times \frac{7}{3} \\ = 4 \times \frac{7}{ 3} \\ = \frac{28}{3} {cm}^{3} = 9 \frac{1}{3} {cm}^{3} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!!
Answer:
the answer is attached to the picture
Factorise this expression 14a+49 with brackets
Answer:
7(2a +7)
Step-by-step explanation:
[tex]14a+49\\=7\times 2a+7\times 7\\= 7(2a +7)[/tex]
This is on my math book. Jada's neighbor said, "my age is the difference between twice my age in 4 years and twice my age 4 years ago." How old is Jada's neighbor.
Answer:
Jada’s neighbor is 16 years of age
Step-by-step explanation:
In this question, we are interested in calculating the age of Jada’s neighbor, given the information in the question.
Let the present age of the neighbor be x years
Her age in 4 years will be x + 4 years old
Her age 4 years ago was x -4 years old
Now, the difference between twice her age in 4 years minus twice her age 4 years ago is her present age.
mathematically that means;
2(x+ 4) - 2(x -4 ) = x
2x + 8 - 2x +8 = x
16-0 = x
x = 16 years