Answer:
EF = [tex]\sqrt{34}[/tex] ≈ 5.83
Step-by-step explanation:
Calculate EF using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = E(1, 3) and (x₂, y₂ ) = F(- 2, 8)
EF = [tex]\sqrt{(-2-1)^2+(8-3)^2}[/tex]
= [tex]\sqrt{(-3)^2+5^2}[/tex]
= [tex]\sqrt{9+25}[/tex]
= [tex]\sqrt{34}[/tex] ≈ 5.83 ( to 2 dec. places )
Antony borrows $6.50 from a friend to pay for a sandwich and a drink at lunch. Then he borrows $3.75 from his sister to pay a library. What is Antonys total debt that day?
Answer:
$10.25
Step-by-step explanation:
which number is written in scientific notation?
Answer:
Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8.
Step-by-step explanation:
b. 11| – 6| + 15
Someone please help
3(x - 7) + 4 = 28 - 2x
Answer:
3x-21+4=28-2x...... Multiply 3 with (x-7)
3x+2x=28+21-4......Take - 2x from right side to left side which makes it +2x and - 21+4 from left side to right side which makes it +21-4
5x=45.....Add and subtract as required
x=45/5....Taking 5 from left side to right side and dividing it
x=9.....Normal division
Answer:
[tex]\boxed{\bold{\huge{\boxed{\sf x = 9}}}}[/tex]
Step-by-step explanation:
[tex]\sf 3(x-7) + 4 = 28 - 2x \\\\Resolving\ Parenthesis\\\\3x - 21 + 4 = 28 - 2x \\\\3x -17 = 28 - 2x\\\\Combining \ like \ terms\\\\3x + 2x = 28+17\\\\5x = 45\\\\Dividing\ both \ sides\ by\ 5\\\\\boxed{\sf x = 9 }[/tex]
Solve the simultaneous equations 4x+y=10 X-5y=13
Answer: 4x + y = 10 is -y+10/4 X-5y=13 is x=5y+13
Step-by-step explanation:
The value of x and y in the equations given are -2 and 3 respectively.
What are equations?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given are two equations, 4x+y = 10 and x-5y = 13, we need to solve the equations,
4x+y = 10.......(i)
x-5y = 13
x = 13+5y......(ii)
Substituting eq(ii) in eq(i)
4(13+5y)+y = 10
52+20y+y = 10
21y = 10-52
21y = -42
y = -2
Put y = -2 in equation (ii),
x = 13+5(-2)
x = 13-10
x = 3
Hence, The value of x and y in the equations given are -2 and 3 respectively
For more references on equations, click;
https://brainly.com/question/29657992
#SPJ3
Last year a large trucking company delivered about 6 million loads of goods at an average value of $30,000 per load. What was the total value of goods delivered? Express your answer in scientific notation.
Answer:
he value will be: 30000 · 8.0 · 105 = (240000) · 105 = (2.4 · 105) · 105
= $2.4 · 1010 Step-by-step explanation:
Help wanted! What is the sum of 88x+12x?
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{100x}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{88x + 12x}[/tex]
Collect like terms : Add 88 and 12
[tex] \dashrightarrow{ \sf{100x}}[/tex]
Hope I helped!
Best regards! :D
[tex]\framebox{\parbox[t][1.0cm]{4.50cm}{\addvspace{0.2cm} \centering $ \;\;100x \,}\;\; } $ } }\\[/tex]
Step-by-step explanation:
[tex]88x+12x[/tex]
To easily solve this, let's add 88 + 12.
[tex]88+12[/tex]
Now that we added, we got the answer to 88 + 12.
[tex]88+12=100[/tex]
Now to finish, we will add the x to 100.
[tex]100x[/tex]
Now we got our answer!
Hope this helps!
Today, Nate has 100 bananas. He will eat 2 of them every day.
Is the number of bananas Nate has left proportional to the number of days that pass?
Answer:
No, Its not.
Step-by-step explanation:
Kindo forgot Why and How.. Sorry!!
5/6w+21=-1/3(2w-9)
please help
Put the quadratic into vertex form and state the coordinates of the vertex. y=+ = 22 + 14x + 33
solve this maths problem
Answer:
hope you find it helpful
Eight times the sum of a number and 6 is 4
Answer:
80
Step-by-step explanation:
6+4=10
10x8=80
Hope this helped!!! Have a nice day and please mark me brainliest!!!
UwU
Step-by-step explanation:
8(n + 6) = 4
8n + 48 = 4
8n = 4 - 48
8n = -44
n = - 5.5
5/6+2/9 thanksssssssssssss
Answer:
19/18
Step-by-step explanation:
use a calculator dawg lol
935050 is divisible by which all numbers
Step-by-step explanation:
2, 5, 10
by 2 because it ends with a 0
by 5 because it ends with a 0
by 10 because it ends with a 0
please help me with this
Answer:
117 = <4
Step-by-step explanation:
Angle 2 and angle 4 are vertical angles so they are equal
<2 = <4
117 = <4
5. Write the quotient of 7 less than a number and 6' as an expression. Use x as the variable.
Answer:
[tex]\frac{x-7}{6}[/tex]
quotient means the problem will be a fraction
7 less than a number x-7
and 6 (6)
Answer:
i suck well you got the answer so there
Step-by-step explanation:
Find the measure of the indicated angle
Answer:
[tex]m\angle A = 98[/tex]Step-by-step explanation:
Since it's a triangle all it's interior angles sum up to 180°
The triangle is isosceles which means two of it's angles are equal
From the question
[tex]m\angle B = m\angle C = 41 \degree[/tex]
So to find [tex]m \angle A[/tex] add up all the angles and equate it to 180° and solve for A
That's
[tex]m\angle A + m\angle B + m\angle \: C = 180 \\ m\angle A = 180 -m\angle B - m\angle \: C \\ m\angle A = 180 - 41 - 41 \\ = 180 - 82[/tex]
We have the final answer as
[tex]m\angle A = 98[/tex]
Hope this helps you
Use the diagram to complete the proof by filling in the blanks. Picture is attached
Answer:
Step-by-step explanation:
From the question attached,
Given:
RT and PQ intersect at a point S.
RS = PS and ST = SQ
To prove :
RT = PQ
Statements Reasons
1). RS = PS and ST = SQ 1). Given
2). RS + ST = PS + SQ 2). Addition property
3). RS + ST = RT ; PS + SQ = PQ 3). Pair of line segments
4). RT = PQ 4). Substitution property
Each letter of the alphabet is printed on an index card. What is the theoretical probability of randomly choosing any letter except Z? Write your answer as a fraction or percent rounded to the nearest tenth.
Answer:
25/26 or 96.2%
Step-by-step explanation:
In the alphabets, we have 26 letters
If we remove Z, we have A -Y which is 25 alphabets
The question requires us to find the theoretical probability of choosing any other letter that is not Z
Probability= ratio of other alphabets that are not z to the number of letters in the alphabets.
Probability = 25/26 (as a fraction)
Probability = 0.9615 x 100 = 96.2% (as a percentage and to the nearest tenth)
What is 2 3/5+ 1 4/5
Answer:
4 2/5
Step-by-step explanation:
Solve for x.
Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.
4x + 4 < 9x + 8
Answer:
-5x is less than 4 or x is less than -0.8
Step-by-step explanation:
At 12 noon, the
temperature was
3°F. Then the
temperature fell
steadily and reached
-1°F at 2:00 PM.
Noon to 2:00 pm is 2 hours
3 degrees to -1 degree is a total of 4 degrees.
The temperature changed 4 degrees in 2 hours.
4/2 = 2
The temperature dropped 2 degrees per hour.
.The height of a cylinder whose radius is 7 cm and the curve surface area is 968 cm2 is:
Answer:
22cm
Step-by-step explanation:
Curve surface area = height x circumference.
In order to find circumference =2(pi)r
2(pi)(7)=14 pi = 44 (pretty much, rounded)
968/44=22
The height is 22cm
Hope this helped!
To Find the IQR in a Box Plot, you take Q1-Q3?
Bri wants to buy as many flip flops as she can at the store. Each flip flop costs $4 and she has $50 with her. Write an inequality to show the maximum number of flip flops Bri can buy.
Answer:
she can buy 12½flip flops
Step-by-step explanation:
it's actually easy : just do 50÷4 but then u will get something like 12.5 so if you are confused , you can divide by the closest number to 50 and the number which is a multiple of 4
so,
48÷4 = 12 and with the remaining 2 $ she can buy a half flip flop more if she wants because 4/2
Therefore , the total number of flip flops she can buy = 12½ flip flops
i need help please please :((
Answer: 9^-16
Step-by-step explanation:
If an exponents have the same base and are being multiplied together, all you do is just add the exponents and make the base stay the same
9[tex]9^{-53} * 9^{37} = 9^{-16}[/tex]
Negative exponents can be rewritten as positive exponents if you put them in the denominator.
[tex]x^{-a}=\frac{1}{x^a}[/tex]
Using this rule, we can rewrite the equation.
[tex]9^{-53}*9^{37}=\frac{1}{9^{53}}*9^{37}[/tex]
[tex]\frac{9^{37}}{9^{53}}[/tex]
Then, we can use exponent division rules.
[tex]\frac{x^a}{x^b}=x^{a-b}[/tex]
[tex]\frac{9^{37}}{9^{53}}=9^{37-53}[/tex]
[tex]9^{-16}[/tex] or [tex]\frac{1}{9^{16}}[/tex]
Hope this helps.
頑張って!
Help needed ASAP will give BRAINLIEST
Answer:
Hi, there the answer to your question is 248 if this helped send thanks. Have a great day!
Step-by-step explanation:
A restraurant owner estimates that his restaurant will sever 430 customers the first week it is open the actual number of customers the first week is 400 find the percent error
Answer:
7.5% error
Step-by-step explanation:
Percent Error = ( | measured - real | / real ) x 100%
|430 - 400| / 400 = |-30| / 400
( 30 / 400 ) x 100%
= 7.5%
Please I need to know today?
Answer:
The three collinear poitns are D, A, and E.
Step-by-step explanation:
Collinear points are points that all reside on the same line. Since we are looking for 3 seperate points we need a line with 3 points. There are only 2 lines on the picture and only one has three lines getting you your answer.
Multiply the binomials (5x + 3) and (2x + 4).
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{10 {x}^{2} + 26x + 12}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{(5x + 3)(2x + 4)}[/tex]
Use distribute property to multiply each term of the first binomial by each term of the second binomial.
[tex] \dashrightarrow{ \sf{5x(2x + 4) + 3(2x + 4)}}[/tex]
[tex] \dashrightarrow{ \sf{10 {x}^{2} + 20x + 6x + 12}}[/tex]
Collect like terms
[tex] \dashrightarrow{ \sf{10 {x}^{2} + 26x + 12}}[/tex]
Hope I helped !
Best regards! :D