Answer: (-0.5, 4)
Step-by-step explanation:
Midpoint formula: [tex](\frac{x1+x2}{2} ,\frac{y1+y2}{2} )[/tex]
(x1, x2)=(2, -3)
(y1, y2)=(2, 6)
-----------------------------------------------
[tex](\frac{x1+x2}{2} ,\frac{y1+y2}{2} )[/tex]
=[tex](\frac{2-3}{2} ,\frac{2+6}{2} )[/tex]
=[tex](\frac{-1}{2} ,\frac{8}{2} )[/tex]
=[tex](-0.5, 4)[/tex]
Hope this helps!! :)
Please let me know if you have any question or need further explanation
Answer:
[tex]M=(-\frac{1}{2},4)[/tex]
Step-by-step explanation:
The midpoint formula is given by:
[tex]M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
Let (2,2) be x₁ and y₁ and let (-3,6) be x₂ and y₂. Therefore:
[tex]M=(\frac{2+-3}{2},\frac{2+6}{2})[/tex]
Simplify:
[tex]M=(-\frac{1}{2},\frac{8}{2})\\M=(-\frac{1}{2},4)[/tex]
are integers rational numbers
Answer:
yes
Step-by-step explanation:
Here's a chart that should help explain things a bit better.
Need help answering this question
Answer:
x=13
Step-by-step explanation:
[tex]g(x)=-4\\[/tex]
Therefore, substituting the value in the equation
[tex]g(x)=\sqrt{x+3} -8\\=>-4=\sqrt{x+3}-8\\ =>-4+8=\sqrt{x+3} \\=>4=\sqrt{x+3}\\[/tex]
Squaring both sides,
[tex]=>4^{2}=\sqrt{(x+3)} ^{2}\\=>16=x+3 \\=> x=16-3\\\\=>x=13[/tex]
Q1. when 3b-4a is evaluated for a=0.5 and b=-0.333333333. what is the answer?
Q2. solution for equation
5(x+1)-3(3x-1)=15(x-2)
Q3. which is not equivalent to 4(2x-1)=3(x+1)-2
A. (2)
B. (-2)
C. (0)
D. (-3)
Q4. if a<0 and b<0 which of the following is not positive
A. ab
B. a+b
C. a÷b
D. a.a
E. a:a
Answer:
See below
Step-by-step explanation:
Q1. when 3b-4a is evaluated for a=0.5 and b=-0.333333333. what is the answer?
[tex]3b-4a, a=0.5 \text{ and } b=-0.333333...[/tex]
Once
[tex]$-0.3333333... = -\frac{1}{3} \text{ and } 0.5=\frac{1}{2} $[/tex]
[tex]$3\cdot \left(-\frac{1}{3}\right) - 4 \cdot \frac{1}{2} = -1 - 2 =\boxed{-3}$[/tex]
Q2. solution for equation
[tex]5(x+1)-3(3x-1)=15(x-2)[/tex]
[tex]5x+5-9x+3 = 15x-30[/tex]
[tex]-4x+8 = 15x-30[/tex]
[tex]38 = 19x[/tex]
[tex]$x=\frac{38}{19} = \boxed{2}$[/tex]
Q3. which is not equivalent to [tex]4(2x-1)=3(x+1)-2[/tex]
Just try all the values.
None of them makes the equation equivalent.
[tex]8x-4=3x+1-2[/tex]
[tex]5x=5[/tex]
[tex]\boxed{x=1}[/tex]
Q4. if a<0 and b<0 which of the following is not positive
B. a+b
[tex]a<0 \implies \text{a is negative}[/tex]
[tex]b<0 \implies \text{b is negative}[/tex]
[tex]a \cdot b \implies \text{positive value}[/tex]
[tex]$\frac{a}{b} \implies \text{positive number}$[/tex]
[tex]a:b \text{ is just another notation for division}[/tex]
[tex]a+b \implies \text{negative number}[/tex]
(3n+2)(2n–3) find the product simplified
Answer:
6n2−5n−6
Step-by-step explanation:
Answer:
6n^2-5n-6 (btw "6n^2" means its 6n squared )
Step-by-step explanation:
Use the box Method. (Picture shows the box method)
once your done the simplified answer should be 6n^2-5n-6
Hey I need help anyone willing to help me please . Need help on 3 and 4
Answer:
Please see the attached images for full solution.
For question 3, the equation could have also been 3x°= 90°. However, I used ∠ sum of △ since I didnt want to assume that ∠ABC is a right angle.
Likewise for Q4, the polygon looks like a trapezium which means that the 2 horizontal lines are parallel and one could conclude that (3x +3)° +(2x +2)°= 180° (int. ∠s). But since it wasn't clearly indicated that they are parallel, I used the sum of interior angles to find x instead.
On a certain day, the temperature changed at a rate of -3F per hour. How long did it take for the change in temperature to be -33F
Answer:
11 hours
Step-by-step explanation:
To find how many hours it took, divide -33 by -3
-33/-3
= 11
So, it took 11 hours for the change to be -33°F
At $1.22 million, they closed last month for...20 percent above what they paid in 2007." How much did they pay in 2007
Answer:
$1.02 million
Step-by-step explanation:
Given
[tex]Amount = \$1.22\ million[/tex]
[tex]\%\ increase = 20\%[/tex]
Required
Determine the amount in 2007
Let the amount in 2007 be represented with x.
The relationship between these parameters is:
[tex]1.22\ million = x + 20\%\ of\ x[/tex]
[tex]1220000 = x + 20\% * x[/tex]
[tex]1220000 = x + 0.20* x[/tex]
[tex]1220000 = x + 0.20x[/tex]
[tex]1220000 = 1.20x[/tex]
Divide both sides by 1.20
[tex]\frac{1220000}{1.20} = x[/tex]
[tex]1016666.67 = x[/tex]
[tex]x = 1016666.67[/tex]
Hence, they paid $1.02 million in 2007
Solve Quadratic Equations by Factoring: Solve by factoring and using the Zero Product Property: 1. X^2-25=0 2. X^2=1=0 3. X^2=x+20 WILL MARK BRAINLIEST!!
Answer:
1. [tex]x = \pm 5[/tex]
2. [tex]x = \pm i[/tex]
3. [tex]x = 5, -4[/tex]
Step-by-step explanation:
1.
[tex]x^2-25=0[/tex]
[tex]x^2 = 25[/tex]
[tex]x = \pm \sqrt{25}[/tex]
[tex]x = \pm 5[/tex]
2.
[tex]x^2 + 1 = 0[/tex]
[tex]x^2 = -1[/tex]
[tex]x = \pm \sqrt{x-1}[/tex]
[tex]x = \pm i[/tex]
3.
[tex]x^2=x+20[/tex]
[tex]x^2 - x - 20 = 0[/tex]
[tex](x-5)(x+4)=0[/tex]
[tex]x = 5, -4[/tex]
which of the elements in set P are irrational
Answer:
-[tex]\sqrt{1}[/tex], [tex]\sqrt{2}[/tex], [tex]\frac{π}{2}[/tex]
Step-by-step explanation:
square roots and pie are irrational.
Simplify the expression.
16-4 [3+2 divide (9-7)]
Answer:
0
Step-by-step explanation:
16-4 (3+2÷2)
16-4 (3+1)
16-4×4
16-16
0 ans.
Amanda and her best friend found some money buried in a field. They split the money evenly, each getting $24.28. How much money did they find?
Answer:
This is a simple multiplication problem.
If 2 people, Amanda and her best friend divide evenly and each get $24.28, this means that the total is $24.28 x 2
$24.28 x 2
$48.56
I'm sorry if I misunderstood.
Good luck mate! :)
Please add Brainliest if you'd like, not that it matters.
Remember to try your best every day!
Simplify the exponential expres
5.52

Answer:
6.5
Step-by-step explanation:
5.5x5.5= 30.25. 30.25 divide 30 and 25 by 5 then you get 6.5
hey please help, thank you!!
Answer:
D
Step-by-step explanation:
So we have the equation:
[tex]A=\frac{1}{2}(12)(3+7)[/tex]
And we want to find out which of the answer choices is not equivalent.
Thus, let's go through each of the choices.
A)
We have:
[tex]\frac{12(3+7)}{2}[/tex]
This is correct.
Our original equation can be written as:
[tex]A=\frac{1}{2}(\frac{12(3+7)}{1})[/tex]
And if we multiply straight across:
[tex]A=\frac{12(3+7)}{2}[/tex]
We'll get choice A. So choice A is correct.
B)
We have:
[tex]6(3+7)[/tex]
This is also correct.
From our original equation:
[tex]A=\frac{1}{2}(12)\cdot(3+7)[/tex]
If we multiply the first term together:
[tex]A=6(3+7)[/tex]
We'll get choice B. So, choice B is correct.
C)
We have:
[tex]0.5(12)(10)[/tex]
This is correct as well.
If we reduce 1/2 to decimal form and add the operations within the parentheses in the original equation, we will get:
[tex]A=\frac{1}{2}(12)(3+7)\\A=0.5(12)(10)[/tex]
So, C is also correct.
D)
We have:
[tex]\frac{12}{2}\times\frac{10}{2}[/tex]
Note that this is not correct.
This attempted to use the distributive property. However, the distribute property does not work for multiplication. For instance:
[tex]3(2+1)\text{ indeed equals } 3(2)+3(1)[/tex]
However:
[tex]3(2\times1)\text{ does not equal} 3(2)\times3(1)[/tex]
So, choice D is not equivalent.
So choice D is our answer :)
If we evaluate it, we will get 30, in contrast to the 60 of the others.
Evaluate if x = 3, y = 4, and z = 5.*
6(r + y) =
I need help
Answer:
if y=4.then 6(r+4).
which is 6r+24.
and if it is equal to zero which is like this then it will be 6r+24=0.
which will be 6r=-24.
r= -24/6.
r= -4.
Jim works overtime to save $500 per month for a pickup truck. The savings account Jim uses earns him 5% interest, compounded monthly. In two years, Jim will have in savings. He will have earned in interest on his savings.
Answer:
$1615
Step-by-step explanation:
500(1+.05/1)^24
500(1+.05)^24
500*1.05^24
500*3.23
1615
the expanded fom of (a-b)²
Answer:
Step-by-step explanation:
[tex](a-b)^{2}[/tex] = [tex]a^{2}[/tex] - 2ab + [tex]b^{2}[/tex]
Hope this helps
plz mark as brainliest!!!!!
Solving Equations Study Guide
19.) Nick opens a savings account with $50. Each week after, he deposits $15. In how
many weeks will he have saved $500?
Step 1: Underline any key information
Step 2: Define your variable.
Step 3: Write an equation
Step 4: Solve the equation:
Step 5: Answer in a complete sentence
Answer:
He took 30 weeks to save $ 500
Step-by-step explanation:
Let 'x' be the number of weeks
Money deposited after each week = $ 15
Money deposited 'x' weeks = 15 * x = 15x
Opening balance in his account = $50
So, money that will be in his account after x weeks = 50 +15x
Total money in the bank = $500
50 + 15x = 500
15 x = 500 - 50 { Subtract 50 from both sides}
15x = 450 { Divide both sides by 15}
15x/15 = 450/15
x = 30 weeks
Translate “four more than twice a number is equal to six less than three times a number”
Answer:
[tex]2n + 4 = 3n - 6[/tex]
Step-by-step explanation:
In order to translate from words into equarion, we just have to know what means what.
Twice a number can be represented as [tex]2n[/tex], adding four to that is [tex]2n + 4[/tex].
3 times a number is [tex]3n[/tex], and 6 less than that is [tex]3n-6[/tex].
So these are equal to each other, we get [tex]2n + 4 = 3n - 6[/tex].
Hope this helped!
what is the answer to 8^-2 =
Answer:
[tex]\huge\boxed{8^{-2}=\dfrac{1}{64}}[/tex]
Step-by-step explanation:
[tex]a^{-n}=\dfrac{1}{a^n}\Rightarrow 8^{-2}=\dfrac{1}{8^2}=\dfrac{1}{8\cdot8}=\dfrac{1}{64}[/tex]
other examples:
[tex]3^{-1}=\dfrac{1}{3^1}=\dfrac{1}{3}\\\\4^{-3}=\dfrac{1}{4^3}=\dfrac{1}{4\cdot4\cdot4}=\dfrac{1}{64}\\\\\left(\dfrac{1}{3}\right)^{-2}=3^2=3\cdot3=9\\\\\left(\dfrac{2}{5}\right)^{-3}=\left(\dfrac{5}{2}\right)^3=\dfrac{5^3}{2^3}=\dfrac{125}{8}[/tex]
Answer:
The answer is
Step-by-step explanation:
15/44
A boat traveled downstream a distance of 54 mi and then came back right back. If the speed of the current was 12 mph and the total trip took 6 hours, find the average speed of the boat relative to the water.
Answer:
18 mph.-
Step-by-step explanation:
This is 2*54 / 6
= 18 m p h.
Identify the vertical angles
Answer:
a and c are vertical angles
b and d are vertical angles
Step-by-step explanation:
Vertical angles are angles formed from the same lines, sharing the same vertex and opposite each other
a and c are vertical angles
b and d are vertical angles
Answer:
a and c are vertical angles
b and d are vertical angle
Step-by-step explanation:
A
5
B
3
4
С
Find tan(B) in the triangle.
Answer:
Step-by-step explanation:The tangent of an angle is the trigonometric ratio between the adjacent side and the opposite side of a right triangle containing that angle. Example: In the triangle shown, tan(A)=68 or 34 and tan(B)=86 or 43 .
Given two sides
if leg a is the missing side, then transform the equation to the form when a is on one side, and take a square root: a = √(c² - b²)
if leg b is unknown, then. b = √(c² - a²)
for hypotenuse c missing, the formula is. c = √(a² + b²)
Answer:
it’s 3/4
Step-by-step explanation:
it’s right for khan (trigonometric ratios in right triangles)
solve each question -15=7n+8n=
Answer:
-15 = 7n + 8n
-15 = 15n
n = -1
plz brainlist me I need it
n = - 1
Step-by-step explanation:- 15 = 7n + 8n
15n = - 15
n = - 15 : 15
n = - 1
Albert Works at a farmers market. he recently sold 18 pieces of fruit, 6 or witch were oranges. what is the experimental probability that the nest piece of fruit Albert sells will be an orange?
Answer: [tex]\dfrac{1}{3}[/tex].
Step-by-step explanation:
Experimental probability = [tex]\dfrac{favorable\ outcomes}{Total\ outcomes}[/tex]
Given: Total pieces of fruit = 18 (Total outcomes)
Number of oranges = 6 (Favorable )
Then, the experimental probability that the nest piece of fruit Albert sells will be an orange = [tex]\dfrac{6}{18}[/tex] [By formula of experimental probability]
[tex]=\dfrac{1}{3}[/tex]
Hence, the required probability is [tex]\dfrac{1}{3}[/tex].
Which expression is equivalent to 2(m − 5) + 6?
Answer: 2m-4
Step-by-step explanation:
2(m-5)+6
=2m-10+6
=2m-(10-6)
=2m-4
Hope this helps!! :)
Please let me know if you have any question
Answer:
2m-4
Step-by-step explanation:
2(m-5)+6
=2m-10+6
=2m-4
y varies inversely with x, y=12 when x=7. Find y when x =10. Picture attached, 15 points and I'll give Brainliest! Due in two hours.
Answer:
y=8.4
Step-by-step explanation:
inverse proportion means y=k/x
k is the constant
y=12, x=7
k=xy ⇒7*12=84
y=84/x
y=84/10
y=8.4
As y varies inversely with x the value of y is 42/5 when x is 10.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, y varies inversely with x.
∴ y = k/x.
12 = k/7.
k = 84.
Now, x = 10.
∴ y = 84/10.
y = 42/5.
learn more about proportion here :
https://brainly.com/question/7096655
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You use it to form general ideas and rules based on your experiences and ______.
Answer:
You use it to form general ideas and rules based on your experiences and observations
2 5/7+4 3/5= help please
Answer:
[tex]7\frac{11}{35}[/tex]
Step-by-step explanation:
[tex]2\frac{5}{7}+4\frac{3}{5}[/tex]
add the whole numbers
[tex]2+4=6[/tex]
combine the fractions
[tex]\frac{5}{7}+\frac{3}{5}[/tex]
LCM is 35 because 7 * 5 =35
[tex]\frac{5}{7}=\frac{5\cdot \:5}{7\cdot \:5}=\frac{25}{35}[/tex]
[tex]\frac{3}{5}=\frac{3\cdot \:7}{5\cdot \:7}=\frac{21}{35}[/tex]
[tex]\frac{25}{35}+\frac{21}{35}=\frac{25+21}{35}[/tex]
[tex]=\frac{46}{35}[/tex]
change the improper fraction into mixed number
[tex]6+1\frac{11}{35}[/tex]
[tex]=7\frac{11}{35}[/tex]
Greyson is playing a game. If he picks a red marble he earns 3 points. If he picks a blue marble, he loses 4 points. How many points does Greyson have at the end of 6 turns if he
picks : red, red, blue, blue, blue, red?
Answer:
the answer would be -3 because you would do 9-12 which would be -3
What is the constant of proportionality?
Answer:
3.5
Step-by-step explanation:
The constant of proportionality is the slope of the line
slope = [tex]\frac{rise}{run}[/tex] = [tex]\frac{3.5}{1}[/tex] = 3.5
Answer:
3.5
Step-by-step explanation: