Answer:
The answer is
[tex]\sqrt{53} \: \: \: units[/tex]Step-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(3,6) and (10,4).
The distance is
[tex]d = \sqrt{ ({3 - 10})^{2} + ({6 - 4})^{2} } \\ = \sqrt{ ({ - 7})^{2} + {2}^{2} } \\ = \sqrt{49 + 4} \\ = \sqrt{53} \: \: \: \: \: \: \: \: [/tex]We have the final answer as
[tex] \sqrt{53} \: \: \: units[/tex]Hope this helps you
It cost Connor $1.20 to send 8 text messages. How much would it cost to send 98 text messages?
Answer:
14.7
Step-by-step explanation:
Use the functions f(x)=2x and g(x)= x^2+1 to find the value of each expression.
7. f(3)+g(4) 8. g(3)+f(4)
Answer:
First, you learned (back in grammar school) that you can add, subtract, multiply, and divide numbers. Then you learned that you can add, subtract, multiply, and divide polynomials. Now you will learn that you can also add, subtract, multiply, and divide functions. Performing these operations on functions is no more complicated than the notation itself. For instance, when they give you the formulas for two functions and tell you to find the sum, all they're telling you to do is add the two formulas. There's nothing more to this topic than that, other than perhaps some simplification of the expressions involved.
Step-by-step explanation:
To find the answers, all I have to do is apply the operations (plus, minus, times, and divide) that they tell me to, in the order that they tell me to.
(f + g)(x) = f (x) + g(x)
= [3x + 2] + [4 – 5x]
= 3x + 2 + 4 – 5x
= 3x – 5x + 2 + 4
= –2x + 6
(f – g)(x) = f (x) – g(x)
= [3x + 2] – [4 – 5x]
= 3x + 2 – 4 + 5x
= 3x + 5x + 2 – 4
= 8x – 2
(f × g)(x) = [f (x)][g(x)]
= (3x + 2)(4 – 5x)
= 12x + 8 – 15x2 – 10x
= –15x2 + 2x + 8
\left(\small{\dfrac{f}{g}}\right)(x) = \small{\dfrac{f(x)}{g(x)}}(
g
f
)(x)=
g(x)
f(x)
= \small{\dfrac{3x+2}{4-5x}}=
4−5x
3x+2
My answer is the neat listing of each of my results, clearly labelled as to which is which.
( f + g ) (x) = –2x + 6
( f – g ) (x) = 8x – 2
( f × g ) (x) = –15x2 + 2x + 8
\mathbf{\color{purple}{ \left(\small{\dfrac{\mathit{f}}{\mathit{g}}}\right)(\mathit{x}) = \small{\dfrac{3\mathit{x} + 2}{4 - 5\mathit{x}}} }}(
g
f
)(x)=
4−5x
3x+2
The instructor had saved $3,500 and rents an apartment for $275 monthly. He believes the point (6, 1850) would be on the equation of the line. Is he correct? Explain how to check if a point is on a line. Please I need this right knowWrite a sentence using an adverb clause illustrating the following usage. contrast
Answer:
Sample Answer: Write the equation using slope and y-intercept in slope-intercept form, y = –275x + 3500. Then, substitute the x and y values of the point into the equation, 1850 = –275(6) + 3500. Simplify to see if both sides are equivalent. Yes, the instructor is correct because both sides are equivalent.
Step-by-step explanation:
Answer:Sample Answer: Write the equation using slope and y-intercept in slope-intercept form, y = –275x + 3500. Then, substitute the x and y values of the point into the equation, 1850 = –275(6) + 3500. Simplify to see if both sides are equivalent. Yes, the instructor is correct because both sides are equivalent.
Step-by-step explanation:
What is the value of the expression below?
43
5
+3.55
017
0 181
10219
024
Henry purchased compact dkks for $112. The compact discs cost $16 each.
Which of the following equations could you use to find how many compact dises, Henry pureme
412 -
2012 - 316
$16 = $112*
$112x316
Answer: B. $112 = $16 x
Hope this helps!
need help with this 9/11+3/4=?
Answer:
1.57
Step-by-step explanation:
9/11+3/4
=1.56818181818181.....
=1.57
Answer:
69/44
Step-by-step explanation:
=(9x4) + (3x11)
___________
11x4
=69/44 or 1 25/44
A football team gains 5 yards, then loses 2 yards then gains another 6 yards, then loses 3 yards what is their net gain or loss?
Answer:
6 yards net gain
Step-by-step explanation:
What is the slope? Please answer ASAP
A boy flying a kite lets out 300 feet of string. The height of the kite is 185 feet. What is the angle
formed between the string and the ground?
Answer:
The string, the height and the ground form a right triangle
The hypotenuse = 300
height =185 = opposite side
sine of the angle = 185 / 300 = 0.6166666667
arc sine (.616666666666) =
38.073 degrees
Step-by-step explanation:
An expression is given: 2 open parentheses square root of k minus 1 close parenthesis plus square root of 8. If on adding negative 6 square root of 2to the expression results in a rational number, what is the value of k?
Answer:
Possible value of k is √2
Step-by-step explanation:
The information given are;
The expression, 2·(√k - 1) + √8 to which may be added -6·√2 to obtain a rational number, we therefore have;
2·(√k - 1) + √8 - 6·√2 = R
Therefore, simplifying gives;
2·√k - 2 + 2·√2 - 6·√2 = 2·√k - 2 - 4·√2 = R
2·√k - 2 - 4·√2 + 2= R + 2 = R
2·√k - 2+ 2 - 4·√2 = R
2·√k - 2+ 2 - 4·√2 = R
2·√k + 0 - 4·√2 = 2·√k - 4·√2 = 2·(√k - 2·√2) = R
(√k - 2·√2) = R/2 = R
Therefore, √2 is a factor of √k such that √k - 2·√2 = R
Which gives k = x·√2, where x = a rational number
When x = 1, k = √2.
Therefore, a possible value of k is √2
what is the answer to -9 x (-9) x (-9)
[tex]\text {Hey! Let's Solve this Problem!}[/tex]
[tex]\text {We Know That: Multiply a Negative to a Negative will Equal a Positive.}[/tex]
[tex]\text {We Also Know: Multiply a Positive to a Negative will Equal a Negative.}[/tex]
[tex]\text {Multiply:}[/tex]
[tex]\text {-9*-9=81}[/tex]
[tex]\text {Multiply:}[/tex]
[tex]\text {81*-9=}[/tex]
[tex]\text {Your Answer would be:}[/tex]
[tex]\fbox {-729}[/tex]
[tex]\text {Best of Luck!}[/tex]
The sum of a number and three is forty-one.Find the number
Answer:
Step-by-step explanation:
x + 3 = 41
x = 38
y−5=3(y−3) [tex]y−5=3(y−3)[/tex]
Steps to solve:
y - 5 = 3(y - 3)
~Distribute right side
y - 5 = 3y - 9
~Add 5 to both sides
y = 3y - 4
~Subtract 3y to both sides
-2y = -4
~Divide -2 to both sides
y = 2
Best of Luck!
A community is planning to build a rectangular garden. The width of the garden is 17 /4 feet (ft), and the perimeter of the garden is 24.5 ft. The community planners want to spread mulch on the entire garden. How many square feet of mulch will be needed?
Answer:
34 square feet
Step-by-step explanation:
First, you need to find the other side of the garden in order to find the area a=l*w
The formula to find the length is, p-w*2=x x÷2=l
because, perimeter is l+l+w+w and area is just l*w
4.25*2=8.50
24.50-8.50=16
16÷2=8
l=8
So now we need to multiply the length and width to get the area.
8*4.25=34 sq. ft.
I hope that helps!
Seth found two new ways to get to school. Which route is faster for Seth, when school is 17 miles away?
A graph titled Bus Stop 1 has time (minutes) on the x-axis and Distance (miles) on the y-axis. A line goes through (0, 5), (6, 8) and (12, 11).
A 2-column table with 3 rows titled Friend's House. Column 1 is labeled Time (minutes) with entries 3, 6, 9. Column 2 is labeled Distance (miles) with entries 4, 6, 8.
Bike from work: His dad's work is 5 miles from school and Seth bikes at 0.2 miles per minute.
Relative's house: y = 1.2 x minus 4.
Answer:
DStep-by-step explanation:
If mTUV = 9x + 1, and mTUW = 7x - 9, and mWUV = (5x-11), find the value of x
Answer:
x = 7
Step-by-step explanation:
We can't tell the order of angles here, so we'll assume that ...
m∠TUV = m∠TUW +m∠WUV
(9x+1) = (7x-9) +(5x-11)
9x +1 = 12x -20
21 = 3x
7 = x
Indentify the segment bisector of RS
Answer: line k is the segment bisector and the distance between RS is 34
Which function describes the table of values?
Answer:
C. f(x)=3x-1
eg. f(2)=3(2)-1 = 5
Can you answer this question please
What is this?
[tex] \frac{f}{4} - 5 = - 9[/tex]
I don't know this one bruh
Hey there!
ANSWER: [tex]f=-16[/tex]EXPLANATION:[tex]\frac{f}{4}-5=-9[/tex]
Simplify both sides and you get:
[tex]\frac{1}{4}f-5=9[/tex]
Now add 5 to both sides and you get:
[tex]\frac{1}{4}f=-4[/tex]
Now you have to multiply both sides and you get:
[tex]f=-16(ANSWER)[/tex]
Hope this helps!
[tex]\text {-TestedHyperr}[/tex]
what is 75.3% of 1394
Answer:
1049.682 is 75.3% of 1394 or as a fraction is 1049 341/500
Step-by-step explanation:
1394/x=100/75.3
(1394/x)*x=(100/75.3)*x - we multiply both sides of the equation by x
1394=1.32802124834*x - we divide both sides of the equation by (1.32802124834) to get x
1394/1.32802124834=x
1049.682=x
x=1049.682
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{1049.682}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{75.3\% \: of \: 1394}[/tex]
Convert 75.3 percent into fraction
To convert a percentage to a fraction, divide it by 100
[tex] \dashrightarrow{ \sf{ \frac{75.3}{100} \times 1394}}[/tex]
Calculate
[tex] \dashrightarrow{ \boxed{ \sf{1049.682}}}[/tex]
Hope I helped!
Best regards! :D
Professor Slughorn has created and sold three different magical potions where if a person drinks them, he or she magically can fly, breathe underwater, or read minds. He sold ten more flying potions than mind reading potions. The number of breathing underwater potions he counted was two more than three times the number of mind reading potions. If he sold a total number of 102 potions, how many were for breathing underwater?
Answer:
56 underwater breathing potions
Explanation:
Create variables to represent the different potions
- flying = f underwater breathing = b mind reading = m
Make equations to represent all of the information you've been given.
- The number of flying potions is ten more than the number of mind reading potions. f = r + 10
- The number of water breathing potions is two more than three times the number of mind reading potions. b = 3r + 2
- The total number of potions is 102. f+b+r = 102
Substitute the variable in your equation for the total number of potions.
102 = (r +10) + (3r + 2) + r = 102
Combine like terms.
102 = 5r + 12
Solve for r.
90 = 5r
18 = r
You have to find the number of underwater breathing potions, b. Go back the equation for b and substitute 18 for r.
b = 3r + 2
b = 3(18) + 2
b = 56
So, your total number of underwater breathing potions is 56.
what is the area of a circle. Using 3.14 for. A circle with diameter of 8.4 ft.
Round to the nearest tenth if necessary
[tex]\pi[/tex]
Hey there! I'm happy to help!
First, let's find the radius. The radius is half of the diameter.
8.4/2=4.2
Here's how to find the area of a circle.
Square the radius.
4.2²=17.64
And multiply by pi (3.14 in our case)
17.64(3.14)=55.3896
We round to the nearest tenth, giving us an area of 55.4 ft²
Have a wonderful day! :D
Simplify 7x^2 + 3 - 5(x^2-4)
Answer:
2x^2 + 23
Step-by-step explanation:
For this problem, we will simply combine like terms after using the distributive property:
7x^2 + 3 - 5(x^2 - 4)
= 7x^2 + 3 - 5x^2 + 20
= 7x^2 - 5x^2 + 3 + 20
= 2x^2 + 23
Cheers.
Answer:
2x^2 + 23
Step-by-step explanation:
The third option
Give the absolute value of expression |-12.1|
Answer:
12.1
Step-by-step explanation:
its just how many spaces away from 0 it will never be a negetive #
Jan completes 50 trials of pulling colored socks out of a box. She pulled green 10
times. If there are 40 socks in the box, how many of them are probably green? *
Answer:12
Step-by-step explanation:
pls help me i dont understand.
Answer:
- 2.2× (-2) ÷ (-1/4)×5
- 2.2× (-2) × (-4) ×5
4.4 × (-20)
-88
Step-by-step explanation:
Answer:
Step-by-step explanation:
For fraction division, multiply with the reciprocal of the fraction.
Reciprocal of (-1/4) = -4/1
-22 * (=2) ÷ (-1/4) * 5 = [tex]-22 * (-2) * \frac{-4}{1}*5\\[/tex]
[tex]= -22 * (-2) * (-4) * 5\\\\= - 880[/tex]
Which property will help solve One-ninth + t = 7 for t?
addition property of equality
transitive property of equality
symmetric property of equality
multiplication property of equality
Answer:
addition property of equalityStep-by-step explanation:
Adding the same number to both sides of equation doesn't change the equality.
¹/₉ + t = 7
+(-¹/₉) +(-¹/₉)
t = 7 + (-¹/₉) = 7 - ¹/₉ = 6⁸/₉
addition property of equality
What is the value of C-F
Answer:
The sweat chloride reference value is less than 30 mmol/L. A value of more than 60 mmol/L of chloride in the sweat is consistent with a diagnosis of cystic fibrosis. The values of 30-60 mEq/L may represent heterozygous carriers, these carriers cannot be accurately identified with a sweat chloride test.
Which table of ordered pair represent a proportional relationship?
Answer:
Your answer is (B.) because 2 times 5 is 10. 4 times 5 is 20. and 6 times 5 is 30, these make proportional relationships.
Step-by-step explanation: hope this help