Answer:
M = ((-4+5)/2, (-1+3)/2) = (1/2, 2/2) = (1/2, 1)
Step-by-step explanation:
The midpoint (M) of segment AB is ...
M = (A +B)/2
That is, for coordinates A = (ax, ay) and B = (bx, by), the midpoint is ...
M = ((ax, ay) +(bx, by))/2
M = ((ax+bx)/2, (ay+by)/2) . . . . midpoint formula
__
For A(-4, -1) and B(5, 3), M will be ...
M = ((-4+5)/2, (-1+3)/2) = (1/2, 2/2)
M = (1/2, 1) . . . . as you know
If three music CDs cost $34.99, what is the cost of 8 CDs? State the answer and write a proportion that could be used to solve the problem. Round the answer to the nearest cent.
Answer:
$280
Step-by-step explanation:
you first multiple $34.99×8 and you get $279.92
the second step is 2 round to the nearest cent
the answer would be $280
When two lines have different slopes, the graphs of the equations are _________
A.
horizontal lines.
B.
the same line.
C.
parallel lines.
D.
intersecting lines.
Answer:
D
Step-by-step explanation:
Because they intersect
Solve for x -9<4x+3<27 enter your answer as one inequality in the box
If a< c< b then a<c and c<b
Separate the equation into 2 separate ones and solve them:
X-9 < 4x +3
Subtract 3 from both sides:
X-12 < 4x
Subtract x from both sides:
-12< 3x
Divide both sides by 3:
X > -4
4x+3 < 27
Subtract 3 from both sides
4x < 24
Divide both sides by 4
X <6
Combine to get one inequality:
-4<x<6
The Solution of the inequality [tex]x-9 < 4x+3 < 27[/tex] in the form of one inequality is : [tex]-4 < x < 6[/tex]
We have the following inequality with us -> [tex]x - 9 < 4x+3 < 27[/tex]
We have to solve this inequality and the answer should be expressed as one - single inequality.
What is an inequality? Does [tex]a < b < c[/tex] means [tex]a < b[/tex] and [tex]b < c[/tex] ?Inequality in mathematics is a relation that helps us to compare two or more mathematical expressions. The expressions can be related to each other using the following operators > (greater then), < (less then), ≥ (greater then or equal to), ≤ (less then or equal to). Yes, the inequality [tex]a < b < c[/tex] signifies (or means) that [tex]a < b[/tex] and [tex]b < c[/tex].
[tex]a < b < c \; \;\;means\; \;\;a < b\; \;and\; \;b < c[/tex]
Using the above rule, we can also solve the inequality given to us :[tex]x-9 < 4x +3 < 27[/tex] by separating it into two different inequalities as follows-
[tex]x-9 < 4x+3[/tex] (Inequality 1)
and
[tex]4x + 3 < 27[/tex] (Inequality 2)
Solving the Inequality - 1 :
[tex]x-9 < 4x+3[/tex]
Subtracting [tex]x[/tex] on both sides, we get -
[tex]x-9-x < 4x-x+3\\\\-9 < 3x+3[/tex]
Adding [tex]-3[/tex] on both sides, we get -
[tex]-3-9 < 3x+3-3\\-12 < 3x[/tex]
Dividing both sides by [tex]3[/tex]. we get -
[tex]\frac{-12}{3} < \frac{3x}{3}[/tex]
[tex]x > -4[/tex]
Solving the Inequality - 2 :
[tex]4x+3 < 27[/tex]
Subtracting [tex]3[/tex] from both sides, we get -
[tex]4x+3-3 < 27-3\\4x < 24[/tex]
Dividing both sides by [tex]4\\[/tex]. we get -
[tex]\frac{4x}{4} < \frac{24}{4}[/tex]
[tex]x < 6[/tex]
Now, on solving the above two inequalities, we got the following result -
[tex]x > -4[/tex] and [tex]x < 6[/tex]. Combining both to one inequality, we get -
[tex]-4 < x < 6[/tex]
Hence, the solution for the inequality - [tex]x-9 < 4x+3 < 27[/tex] can be written in one-inequality as -
[tex]-4 < x < 6[/tex]
To solve more questions on finding the solution of linear inequalities, visit the following link -
https://brainly.com/question/17675534
#SPJ6
Write the equation of the line that it is parallel to 5x = 1 - 3y and passes through
(9,4)
Answer:
Step-by-step explanation:
1 -3y = 5x
-3y = 5x - 1
y = -5/3x + 1/3
y - 4 = -5/3(x - 9)
y - 4 = -5/3x + 15
y = -5/3x + 19
9. Which of the following is an example of the Commutative Property of Addition? (1 point)
12+ 4 = 4 +12
12 + (3 + 2) = (12 + 3) + 2
2 +7 + 0 = 2 + 7
17 + (-17) = 0
Answer:
12+4=4+12
2+7+0=2+7
17+(-17)=0
Step-by-step explanation:
first one is clear
second one is a associative property
third onw can be because 2+7+0 is 14 and 2+7 is also 14
17 +(-17) is 0 and the other side it is zero
Factorize this expression
2 + 3 – 42
Hey there!☺
[tex]Answer:\boxed{-37}[/tex]
[tex]Explanation:[/tex]
[tex]2+3-42[/tex]
Factor and simplify:
[tex]2+3-4=-37[/tex]
[tex]-37[/tex]
Hope this helps!☺
If you have 2/3 of butter but you need 4/6 how much more butter do you need
Answer:
You do not need any more butter because when you divide 4/6 by 2 it gives 2/3
Add 5.46 +21.3 +0.02. What number is in the hundredths place in the sum? A.1 B.2 C.7 D.8
Answer:
the answer is D. 8. Hope this helps!
Step-by-step explanation:
Answer:
7 is in the hundredths place
Step-by-step explanation:
5.46
21.3
0.02
=7.6.1
Solve for x, in the picture below
angle CED = 45°
angle EDC = x
angle DCE = 2x
To Find:The value of x.
Angle Sum Property:The sum of all the Interior Angles of a triangle is 180°.
Solution:x + 2x + 45° = 180°
or, 3x = 180° - 45°
or, 3x = 135°
or, x = 135/3 = 45°
Answer:The value of x is 45°.
Answer:
x = 45
Step-by-step explanation:
CDE + CDE + CED =180°
x + 2x + 45 = 180
3x = 135
x = 45
Which equation can be used to find the distance between X(–6, 5) and Y(4, –3)?
Answer:
The distance formula
Step-by-step explanation:
please help me on this least to greatest
3x2 - 5xy + 2 + xy + x2 - 6y2
where x = 2 and y = -3
Answer:
18
Step-by-step explanation:
Use the PEDMAS (order of operations) and then you will get this answer.
Hope this helped!
what is the answer to this problem 3r − 3 = 3
Answer:
r=2
Step-by-step explanation:
3r-3=3
3r=6
r=6/3 6 divided by 3 is 2
r=2
Can I have brainliest!
Answer:
no
Step-by-step explanation:
cause you would have to do 3x3-3 so 3x3 = 9 - 3 = 6
What is 10 x 45 I really need help answering this or my mommy is gonna take my ice cream
Answer:
450
Step-by-step explanation:
Hey there!☺
[tex]Answer:\boxed{450}[/tex]
[tex]Explanation:[/tex]
[tex]10*45[/tex]
When multiplying a number from the tens place value by another tens place value, you will get a product of a number in the hundreds place value.
[tex]10*45=450[/tex]
[tex]450[/tex] is your answer.
Hope this helps!☺
what is -120 x (-3) im dumb...
Answer:
360
Step-by-step explanation:
hope that helps :)) ( btw you're not dumb :D )
Trent is simplifying the expression 47 × 13. He claims he can solve the problem by multiplying 47 × 10 and adding it to the product of 47 × 3. Select the answer that best explains whether or not his strategy is correct. Trent is incorrect, because one group of 13 is not the same as one group of 10 and one group of 3. Trent is incorrect, because he would need to add the 3 to 47 before multiplying it by 10. Trent is incorrect, because he must first round 47 to a number that is easier to multiply. Trent is correct, because one group of 13 is the same as one group of 10 and one group of 3.
Answer:
Trent is correct because one group of 13 is the same as one group of 10 and one group of 3.
Step-by-step explanation:
47 x 10 = 470
47 x 3 = 141
470 + 141 = 611
47 x 13 = 611
Multiply: (5.8 x 10^-6) x (2 x 10^4). Write answer in scientific notation.
Answer: 1.16 x 10 ^-1
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
59 times what give me 113? PLZ ANSWER!
We can write an equation to resemble the problem.
59n = 113
~Divide 59 to both sides
n ≈ 1.92
Best of Luck!
Answer:
59 * 1.92 = 113.28
Step-by-step explanation:
PLS HELP ME IT WILL MEAN A LOT!
Expand $3p^5q^3\left( 2pq + \frac{5}{(pq)^2} \right)$. Thank you so much i really need it
Answer: [tex]6p^6q^4 + 15p^3q[/tex]
On a keyboard you would type 6p^6q^4 + 15p^3q
================================================
Work Shown:
[tex]3p^5q^3\left( 2pq + \frac{5}{(pq)^2} \right)\\\\\\3p^5q^3\left( 2pq \right) + 3p^5q^3\left(\frac{5}{(pq)^2} \right)\\\\\\6p^6q^4 + \frac{15p^5q^3}{ p^2q^2 } \right)\\\\\\6p^6q^4 + 15p^3q\\\\[/tex]
------------
Explanation:
Step 2 used the distributive property. Step 3 used the idea that a^b*a^c = a^(b+c), and also (ab)^c = a^c*b^cStep 4 used the idea that (a^b)/(a^c) = a^(b-c)Answer:
6p^6q^4+15p^3q
Step-by-step explanation:
We use the distributive property.
A builder wants to nail a 2 1/4 foot extension to a board that is 7 9/12 feet long. How long will the board be after her work? Express your answer in lowest terms.
A reasonable estimate for this problem is approximately
( A. 6 B. 9 C. 10 ) feet.
A common denominator to use is ( A. 12 B. 16 C. 16) .
The board will be
A. 5 2/3 B. 6 C. 9 5/8 D. 10 feet long.
Answer:
CADStep-by-step explanation:
2 1/4 = 2
7 9/12 = 8
2 + 8 = 10
2 1/4 = 9/4 = 27/12
7 9/12 = 93/12
27/12 + 93/12
120/12
10
Best of Luck!
Answer:
The answer is CAD
Step-by-step explanation:
I got 100 on plato
Write an equation in point-slope form of the line that passes through the given points, then write the equation in slope-intercept form.
(-9,7), (6,2)
Answer:
Point-slope form: [tex]y-2=-\frac{1}{3} (x-6)[/tex]
Slope-intercept form: [tex]y=-\frac{1}{3}x+4[/tex]
Step-by-step explanation:
So, first, we need point-slope form.
Point-slope form: [tex]y-y_1=m(x-x_1)[/tex]
In this form, m is your slope and [tex]x_1, y_1[/tex] is your point.
We have two points, so let's find the slope.
Slope formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
The y_2 and y_1 points can be interchanged, but order can't be changed (a y_2 can't go with an x_2).
For this problem, (-9,7) is going to be the x_2, y_2 pair.
[tex]x_2[/tex] = -9
[tex]y_2[/tex] = 7
[tex]x_1[/tex] = 6
[tex]y_1[/tex] = 2
Let's put the values into the formula.
[tex]\frac{7-2}{-9-6}[/tex] = [tex]\frac{5}{-15}[/tex] = [tex]-\frac{1}{3}[/tex]
The slope is 1/3. Going back to point-slope form, let's put the slope in.
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-y_1=-\frac{1}{3} (x-x_1)[/tex]
Now, lets put our x_1, y_1 point in.
[tex]y-2=-\frac{1}{3} (x-6)[/tex]
This is our point-slope form.
Now, to convert this to slope-intercept form, multiply everything out.
[tex]y-2=-\frac{1}{3}x+2[/tex]
Add two.
[tex]y=-\frac{1}{3}x+4[/tex]
This is our slope-intercept form.
Hope this helped!
6g -13 + 7h - 8g + 17
Identify the terms , like terms , coefficients, and constant terms.
Answer:
the like terms are -13, 17,-8g, and 6g. the terms are all, coefficents are -8 ang 6. constants are 7h
Step-by-step explanation:
Evan, Hope, Misha, and Cole put their names into a basket. If a name is selected without looking, what is the probability that the name will be Cole?
Answer:
1:4
Step-by-step explanation:
(x + 2) is raised to the fifth power. The third term of the expansion is:
C(5,3)x^3 2^2
C(5,3)x2 2^3
C(5,2)x^3 2^2
Answer:
3
Step-by-step explanation:
in 10 years,Kamdyn will be 3 times as old as she is now.Which equation could be used to determine Kamdyns current age,k
Answer:
k+10=3k
Step-by-step explanation:
math calculate yes math gonna drop out C:
ACK
Answer:
C
Step-by-step explanation:
the quantity 8 minus n times 5
Answer:
8-n x 5
Step-by-step explanation:
what are the factors of 1 - x + x^2 -x^3
Answer:
[tex]-\left(x-1\right)\left(x^2+1\right)[/tex]
Step-by-step explanation:
[tex]1 - x + x^2 -x^3\\\\\mathrm{Factor\:out\:common\:term\:}-1\\\\=-\left(x^3-x^2+x-1\right)\\\\\mathrm{Factor}\:x^3-x^2+x-1:\quad \left(x-1\right)\left(x^2+1\right)\\\\=-\left(x-1\right)\left(x^2+1\right)[/tex]
17. You have $75 in your bank account. Each week you plan to deposit $8 from your allowance and $10 from your paycheck
The equation b = 75+ (10 + 8)w gives the amount b in your account after w weeks. How many weeks from now will you
have $195 in your bank account?
weeks.
There will be $195 in the account after
(Type a whole number.)
Answer:
60 weeks
Step-by-step explanation:
195 = 75 + (10 + 8)w
195 - 75 = (10 + 8)w
120 = (10 + 8)w
120 = (2)w
120 ÷ 2 = w
60 = w