Answer:
D = [tex]5\sqrt{5}[/tex]
Step-by-step explanation:
[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\d= \sqrt{(-7-(-2))^2+(-7-3)^2} \\d= \sqrt{(-5)^2+(-10)^2} \\d= \sqrt{25+100} \\d= \sqrt{125} \\d= 5\sqrt{5}[/tex]
Use elimination to solve and match each system of equations to the correct solution.
5x+12y=-34
2x+4y=-12
Answer:
x = -2 y= -2
Step-by-step explanation:
5x+12y= -34
2x+ 4y = -12
2x= -4y -12
x= -2y -6
plug back in
5(-2y -6) +12y = -34
-10y -30 +12y = -34
2y = -4
y= -2
2x+4y=-12
4y= -2x -12
y= -.5x -3
plug back in
5x+ 12(-.5x-3)=-34
5x -6x -36 = -34
-x = 2
x= -2
Answer:
Step-by-step explanation:
5x + 12y = -34
-6x - 12y = 36
-x = 2
x = -2
5(-2) + 12y = -34
-10 + 12y = -34
12y = -24
y = -2
(-2, -2)
if
f(x)=5x+7
and
g(x)=-2x-4
find
f(g(x))=___x+___
Answer:
Step-by-step explanation:
g(x) = -2x - 4
f(-2x -4)
5(-2x - 4) + 7
-10x - 20 + 7
-10x - 13
Rewrite as a simplified fraction.
1.6 repeating = ?
Pleaseeee help
Answer:
5/3
Step-by-step explanation:
1.6 repeating is equal to 5/3
The repeating decimal 1.6 can be written as the simplified fraction 5/3.
To rewrite the decimal 1.6 repeating (1.6) as a simplified fraction, we can use algebraic manipulation. Let's denote 1.6 as x:
x = 1.6
Now, to eliminate the repeating decimal, we can multiply both sides of the equation by 10 (since there is one digit repeating after the decimal point):
10x = 16.6
Next, subtract the original equation from the multiplied equation to eliminate the repeating decimal:
10x - x = 16.6 - 1.6
This simplifies to:
9x = 15
Finally, divide both sides by 9 to solve for x:
x = 15 / 9
Now, we simplify the fraction:
x = 5/3
Therefore, the repeating decimal 1.6 can be written as the simplified fraction 5/3.
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what is the value of (5.3x10^4)(4.2x10^3)l
Answer:
scientific notation = 2.226 * 10^8
Standard form = 222600000
As it is 22.26 * 10^7
Step-by-step explanation:
(5.3x10^4)(4.2x10^3)
Since all the numbers are being multiplied by each other, one can use the associative property to change the order in which they are multiplied.
5.3 x 10^4 x 4.2 x 10^3
= 5.3 * 4.2 * 10^4 * 10^3
= 22.26 * 10^7
Either convert back to scientific notation, standard form or keep as it is.
scientific notation = 2.226 * 10^8
Standard form = 222600000
As it is 22.26 * 10^7
(6.42)-(-3.2) Btw I need to show my work...
Answer:
9.62
Step-by-step explanation:
Simplify the expression.
(6.42)+(-3.2)= 9.62
Please help me! I’m stuck - Mathematics
Answer:
17. 13
18. 3x + 12
19. 1/4
Step-by-step explanation:
17.
[tex]3a + b = 3(5) - 2 \\ = 13[/tex]
18.
[tex]3(x + 4) = 3x + 12[/tex]
19.
[tex]p \: = \frac{3}{3 + 4 + 5 } \\ = \frac{3}{12} \\ = \frac{1}{4} [/tex]
Answer:
Step-by-step explanation:
17. 3(5) + 2 = 15 + 2 = 17
18. 3(x + 4) = 3x + 12
19. 3/(3+4+5)= 3/12= 1/4
Write two polynomial functions whose quotient will be the same degree as the divisor.
Answer:
[tex]f(x) = 6x^2 - 11x + 4[/tex]
[tex]g(x) = 3x - 4[/tex]
[tex]q(x) = 2x - 1[/tex]
Step-by-step explanation:
Represent the two polynomials with [tex]f(x)[/tex] and [tex]g(x)[/tex]
Let
[tex]f(x) = 6x^2 - 11x + 4[/tex]
[tex]g(x) = 3x - 4[/tex]
The quotient of two polynomial is the result of division between the two polynomials
Let q(x) represent the quotient polynomial
[tex]q(x) = \frac{f(x)}{g(x)}[/tex]
Where g(x) is the divisor
[tex]q(x) = \frac{6x^2 - 11x + 4}{3x - 4}[/tex]
Factorize the numerator
[tex]q(x) = \frac{6x^2 - 3x - 8x + 4}{3x - 4}[/tex]
[tex]q(x) = \frac{(3x -4)(2x - 1)}{3x - 4}[/tex]
[tex]q(x) = 2x - 1[/tex]
Notice that: q(x) and g(x) have the same degree of 1
1 point
If an original amount was 12 and the new amount is 18, would you describe
this as an increase or decrease? *
Answer: Increase
Step-by-step explanation: 18 is greater than 12
What is the value of x?
34
56
68
79
Answer:
The answerer to this question is a 34
Step-by-step explanation:
Answer:
A. 34
Step-by-step explanation:
vertical translation
horizontal translation
reflection over the x-axis
reflection over the y-axis
Answer: vertical translation
Step-by-step explanation:
A function is even if:
f(x) = f(-x)
and a function is odd if:
f(-x) = -f(x).
Now, we want to find a translation that only affects the symmetry of an odd function (but not that one of the even function).
The correct answer will be a vertical translation, now let's prove it.
when we have a function f(x) and we want to transform it into g(x), such that g(x) is a vertical translation of (for example) A units up, we can write the relation as:
g(x) = f(x) + A.
Now, let's see if this preserves the symmetry of the original function.
1) if f(x) is even, then:
g(x) = f(x) + A
g(-x) = f(-x) + A
But we know that f(-x) = f(x)
then:
g(-x) = f(-x) + A = f(x) + A = g(x)
this means that g(x) is even, the symmetry of an even function is not affected by this transformation.
Now suppose that f(x) is odd.
Then:
g(x) = f(x) + A
g(-x) = f(-x) + A
and f(-x) = -f(x)
then:
g(-x) = f(-x) + A = -f(x) + A
and this is clearly different than g(x) = f(x) + A.
Then the odd symmetry is broken.
Marcus and Emma went to the store together. Marcus had $2.00 and Emma had $4.50. Together they spent $6.00. What expression could be used to find the combined amount Marcus and Emma have left?
Answer:
$6.00-($2.00+$4.50)
in other terms, 6 - (2 + 4.5)
Step-by-step explanation:
So first, we know that they spent 6 in total. To figure out how much they spent, we need to figure out how much they had all together.
To get how much all together, we have to add. 2 + 4.5
Now that we now how to get the total amount, out them in parentheses and add the 6 infront.
Since we need to find the remaining amount, were subtracting 6 from the total, hence the parentheses.
All this leads to the expression: 6 - (2 + 4.5)
Hope this helps :)
Cuánto mide el lado de un cuadrado si su área es de 20 cm
Someone please help me with this and explain it please.
===========================================
Explanation:
Use a calculator to find the decimal form of each of the following below (values are approximate; rounded to 2 decimal places)
2pi = 6.28sqrt(42) = 6.48sqrt(34) = 5.83We see that the order of the decimal values is: 5.83, 6, 6.28, 6.48
So the order of the terms, from smallest to largest, is [tex]\sqrt{34}, 6, 2\pi, \sqrt{42}[/tex]
Solve the equation for the variable. Make sure your answer is in simplest form.
[tex]30x + 18 = 35 - 4x[/tex]
[tex]x = \frac{?}{?} [/tex]
Enter the numbers that belong.
Answer:
[tex]x = \frac{1}{2} [/tex]Step-by-step explanation:
[tex]30x+18=35−4x[/tex]
First of all using the addition property add 4x to both sides
That's
[tex]30x + 4x + 18 = 35 + 4x - 4x \\ 34x + 18 = 35[/tex]
Next using the subtraction property subtract 18 from both sides to make 34x stand alone
We have
[tex]34x + 18 - 18 = 35 - 18 \\ 34x = 17[/tex]
Divide both sides by 34
That's
[tex] \frac{34x}{34} = \frac{17}{34} [/tex]
We have the final answer as
[tex]x = \frac{1}{2} [/tex]
Hope this helps you
2k-3(2k-3)=45
step by step please?
Answer:
k=-9
Step-by-step explanation:
[tex]2k-3(2k-3)=45\\\\2k-3(2k)-3(-3)=45\\\\2k-6k+9=45\\\\(2k-6k)+9=45\\\\(2-6)k+9=45\\\\-4k+9=45\\\\-4k+9-9=45-9\\\\-4k+0=36\\\\-4k=36\\\\\frac{-1}{4}(-4k) =\frac{-1}{4}(36) \\\\k=\frac{-36}{4} \\\\k=\frac{4*9}{4} \\\\k=\frac{9}{1} \\\\k=-9[/tex]
What is slope intercept form?
O y = mx + b
OAX + By = C
O a^2 + b^2 = c^2
m is the slope
Answer:
y = mx + b
m is the slope and b is the y intercept, if I remember correctly
hope this helps :)
State the y-intercept of the function: f(x) = 3x - 6 *
Answer:
The y-intercept is -6.
Step-by-step explanation:
What is the value of the function, f(x)=x^2-5x when x=-5 ?
Answer:
f(-5) = 50
Step-by-step explanation:
Simply plug in -5 for x into the function:
f(-5) = (-5)² - 5(-5)
f(-5) = 25 + 25
f(-5) = 50
Whats 1+1 ? I need help ASAP im rlly confused
Answer:
2
Step-by-step explanation:
hold one finger up, and add another, then count how many fingers you have
Answer:
2
Step-by-step explanation:
write an equation for the sentence. (Do not use any spaces) six times the sum of a number and five is 16
x = a number
6(x+5)=16
Answer:
If you're using x for "a number" then: 6(x+5)=16
January, Scott earned $8,999. In February, he earned $2,387 more than in January. In March, Scott earned the same amount as in February. How much did Scott earn altogether during those three months?
Answer:I believe it's 31,771
Step-by-step explanation: you first need to add 8,999 + 2,387 to get 11,386 then add 11,386 + 11,386 to get 22,772 and then add 8,999 to get 31,771.
Scott earns $31,771 altogether during those three months.
What are Arithmetic operations?Arithmetic operations can also be specified by the addition, subtract, divide, and multiply built-in functions.
+ Addition operation: Adds values on either side of the operator.
For example 4 + 2 = 6
We have to determine that Scott earn altogether during those three months.
We have been given that in January, Scott earned $8,999.
In February, he earned $2,387 more than in January.
So we have to add the amount of January and 2,387, we get
⇒ 8,999 + 2,387 = 11,386
In March, Scott earned the same amount as in February.
So the amount of March = 11,386
Therefore, He earns altogether during those three months as
⇒ 8,999 + 11,386 + 11,386
Apply the Addition operation in the above expression,
⇒ 31,771
Hence, Scott earns $31,771 altogether during those three months.
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All 60 students in the seventh grade must choose a fall sport in which they will participate. If 2/5 of them choose volleyball, 25% of them choose soccer, and the remainder choose softball, how many students choose softball?
Answer:
21
Step-by-step explanation:
24 play volleyball
15 play soccer
Softball= 60-(24+15)=21
or
2/5 = 40%
100% -(40+25)= 35%
60x0.35=21
If 3x = 27, then x =
Answer:
x = 9
Step-by-step explanation:
3x = 27
3/3x = 27/3
x = 9
on a time Find the midpoint of segment GL if G (- 2, 46) and L (4, 10). Write your anwer in coordinate pair form (x, y)
Answer:
(1, 28 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] ]
here (x₁, y₁ ) = G(- 2, 46) and (x₂, y₂ ) = L(4, 10), thus
midpoint = ([tex]\frac{-2+4}{2}[/tex] , [tex]\frac{46+10}{2}[/tex] ) = ([tex]\frac{2}{2}[/tex] , [tex]\frac{56}2}[/tex] ) = (1, 28 )
Fractions and integer operations practice, I need help please.
Help plzzzzzzzzzzzzzzzzzz
Answer:
109
Step-by-step explanation:
To solve you must work backward, she has 8 jars of 13 pieces so first do
8*13=104, she currently has 104 pieces. Then add back the five she ate and you get 109
Answer:
109
Step-by-step explanation:
If Anita split the candy into 8 jars, each jar containing 13 pieces of candy, you need to multiply 8 x 13 to get the amount of candy she had after eating the 5 pieces. 8 x 13 is 104. Then, you need to add the 5 pieces of candy she ate before splitting the candy into jars, meaning you must add 5 to 104. 5 + 104 = 109.
What is 4,672.183 rounded to the nearest hundredth?
Answer:
The correct answer is 4,672.18.
Step-by-step explanation:
To solve this problem, we must look at the number we are given and determine what numbers are in which places. The 4 is in the thousands place, the 6 is in the hundreds place, the 7 is in the tens place, the 2 is in the ones place, the 1 is in the tenths place, the 8 is in the hundredths place, and the 3 is in the thousandths place.
The question asks us to round to the nearest hundredth, so this means that the number in the hundredths place should be the final digit. In the number given, the number 8 is in the hundredths place. Since the following digit (3) is less than 5, we round down and keep the 8 in the hundredths place. This makes our answer 4,672.18.
Hope this helps!
Solve the equation
-4(-3+2p) = -2(6p - 1).
Need help fast please
Answer:
-2.4
Step-by-step explanation:
distribute the -4 and -2
add 12p to both sides
subtract 12 from both sides
divide
how to solve −3d + 10 = 43
Answer:
-3d = 43-10
-3d = 33
d = 33/-3
d = -11
Answer:
d = 11
Step-by-step explanation:
Simplifying
3d + 10 = 43
Reorder the terms:
10 + 3d = 43
Solving
10 + 3d = 43
Solving for variable 'd'.
Move all terms containing d to the left, all other terms to the right.
Add '-10' to each side of the equation.
10 + -10 + 3d = 43 + -10
Combine like terms: 10 + -10 = 0
0 + 3d = 43 + -10
3d = 43 + -10
Combine like terms: 43 + -10 = 33
3d = 33
Divide each side by '3'.
d = 11
Simplifying
d = 11
Hope this helps!
The graph shows the cost, C, of sending m text messages. What is the cost per message? A. $0.10 per message B. $0.15 per message C. $0.25 per message D. $0.05 per message
Answer:
$0.15
Step-by-step explanation:
3÷20=$0.15
I hope this helps
The cost per message is $0.15
What is unit rate?A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.
Given that, a graph,
The graph is showing a straight line,
Considering a coordinate (3, 20),
That means, they cost $20 for 3 messages.
Therefore, for 1 message = 3/20 = 0.15
Hence, the cost per message is $0.15
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