Answer:
9w^5
Step-by-step explanation:
Write an equivalent expression 2x + 10
Answer: 2 (x+5)
Step-by-step explanation:
Answer:
x+5
Step-by-step explanation:
3x3z−6z for z=5 solve pllllsslssss
Given the coordinates, determine whether PQR & XYZ are congruent
P(5,-4), Q(-3, 7), R(0, 2), X(-2,-1), Y(9, 7), Z(3, 2)
PQ=
XY=
QR=
YZ=
PR=
XZ=
Are the triangles congruent? If yes, explain your reasoning and write a congruence statement.
Answer:
The triangles are congruent
Step-by-step explanation:
Given
[tex]P(5,-4), Q(-3, 7), R(0, 2), X(-2,-1), Y(9, 7), Z(3, 2)[/tex]
Required
Determine if PQR = XYZ
To do this, we make use of distance formula.
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
For PQ:
[tex](x_1,y_1) = (5,-4)[/tex] and [tex](x_2,y_2) = (-3,7)[/tex]
So:
[tex]PQ = \sqrt{(-3-5)^2+(7-(-4))^2}[/tex]
[tex]PQ = \sqrt{(-8)^2+(7+4)^2}[/tex]
[tex]PQ = \sqrt{(-8)^2+(11)^2}[/tex]
[tex]PQ = \sqrt{64+121}[/tex]
[tex]PQ = \sqrt{185}[/tex]
For XY:
[tex](x_1,y_1) = (-2,-1)[/tex]
[tex](x_2,y_2) = (9,7)[/tex]
So:
[tex]XY = \sqrt{(9-(-2))^2+(7-(-1))^2}[/tex]
[tex]XY = \sqrt{(9+2)^2+(7+1)^2}[/tex]
[tex]XY = \sqrt{(11)^2+(8)^2}[/tex]
[tex]XY = \sqrt{121+64}[/tex]
[tex]XY = \sqrt{185}[/tex]
For QR:
[tex](x_1,y_1) = (-3,7)[/tex] and [tex](x_2,y_2) = (0,2)[/tex]
So:
[tex]QR = \sqrt{(0-(-3))^2 + (2-7)^2}[/tex]
[tex]QR = \sqrt{(0+3)^2 + (-5)^2}[/tex]
[tex]QR = \sqrt{(3)^2 + 25}[/tex]
[tex]QR = \sqrt{9 + 25}[/tex]
[tex]QR = \sqrt{34}[/tex]
For YZ:
[tex](x_1,y_1) = (9,7)[/tex] and [tex](x_2,y_2) = (3,2)[/tex]
So:
[tex]YZ = \sqrt{(3-9)^2+(2-7)^2}[/tex]
[tex]YZ = \sqrt{(-6)^2+(-5)^2}[/tex]
[tex]YZ = \sqrt{36+25}[/tex]
[tex]YZ = \sqrt{61}[/tex]
For PR:
[tex](x_1,y_1) = (5,-4)[/tex] and [tex](x_2,y_2) = (0,2)[/tex]
So:
[tex]PR = \sqrt{(0-5)^2+(2-(-4))^2}[/tex]
[tex]PR = \sqrt{(-5)^2+(2+4)^2}[/tex]
[tex]PR = \sqrt{(-5)^2+(6)^2}[/tex]
[tex]PR = \sqrt{25+36}[/tex]
[tex]PR = \sqrt{61}[/tex]
For XZ:
[tex](x_1,y_1) = (-2,-1)[/tex] and [tex](x_2,y_2) = (3,2)[/tex]
So:
[tex]XZ = \sqrt{(3-(-2))^2+(2-(-1))^2}[/tex]
[tex]XZ = \sqrt{(3+2)^2+(2+1)^2}[/tex]
[tex]XZ = \sqrt{5^2+3^2}[/tex]
[tex]XZ = \sqrt{34}[/tex]
From the calculations above:
[tex]PQ = XY = \sqrt{185[/tex]
[tex]QR = XZ = \sqrt{34[/tex]
[tex]PR = YZ = \sqrt{61[/tex]
Hence, the triangles are congruent base on SSS (Sides- Sides-Sides)
Find (f+g)(x) and (f-g)(x)
f(x)=2x+7 g(x)=5x-4
Answer:
for (f+g)(x): 7x + 3; x = -3/7
for (f-g)(x): -3x - 3; x = -1
Step-by-step explanation:
(f+g)(x) = (2x+7)+(5x-4)
Eliminate parentheses.
2x + 7 + 5x -4
Combine like terms.
7x + 3
If you are solving for x, move the 3 to the other side.
7x = -3.
Then divide each side by 7.
x = -3/7
(f-g)(x) = (2x+7) - (5x -4)
Distribute the negative.
(2x+7) + (-5x+4)
Eliminate parentheses.
2x + 7 - 5x - 4
Combine like terms.
-3x -3
If you are solving for x, move the -3 to the other side.
-3x = 3
Then divide each side by -3.
x = -1.
What is the equation of the line that passes through the point (2, -2) and has a
slope of -1/2?
Answer:
Step-by-step explanation:
use the point-slope formula [y-y1 =m(x-x1) ] with the given info
for the point P=(x1,y1) =(2,-2) and the slople m = -1/2
plug those into the formula
y-(-2)= -1/2(x-2)
y+2= -1/2x + 1
y= -1/2x+1 - 2
y = -1/2x - 1
:) got it?
these are hard untill you get the idea of the two formulas
point-slope: y-y1 = m(x-x1) and
slope-intercept: y= mx+b
memorizing those will help a lot
Simplify the following expression:
3b+5-9b-9+6b
Answer:
3(3+2b)
or
2b +9
Step-by-step explanation:
Answer:
Step-by-step explanation:
3b+5-9b-9+6b
=3b+6b-9b+5-9=-4
if i run 160 meters 20 times in 2 hours how fast am i going
Answer:
1700 meters / hour
Step-by-step explanation:
160x20 = 3200
3200/ 2 = 1700
Explain the steps (in order) of how to write this function:
4(x + 5)2
f(x) =
3
1
2.
4.
Answer:
4x+20+2
4x+22
Step-by-step explanation:
4×x=4x then 4×5=20+2
Scrat the squirrel has a few nuts. When he put them in groups of 5 nuts, two nuts were left, and
when he laid them out in groups of 3 nuts, there were no nuts left. How many nuts among the
options provided below could belong to Scrat?
Answer:
The options are not shown, so i will solve this in a general way.
Let's suppose that there are N nuts
If we divide the N nuts into groups of 5, there will be a remainder of 2 nuts.
If we divide the N nuts into groups of 3, there is no remainder.
This means taht N is a multiple of 3. then we can write:
N = 3*k
where k is a random integer.
Now, we know that when we divide N by 5, there is a remainder of 2 nuts, this means that N is equal to a multiple of 5 plus 2, then we can write:
N = 5*j + 2
where j is a random integer.
Now we only need to find a pair of k and j (both positive integers) such that:
3*k = 5*j + 2
We can rewrite this as:
k = (5/3)*j + (2/3)
Now we could just input different values of j, and see if k is also an integer:
j = 2
k = (5/3)*2 + 2/3 = 10/3 + 2/3 = 12/3 = 4
Then the pair j = 2, k = 4 is a possible solution.
N = 3*k = 3*4 = 12
N = 5*j + 2 = 5*2 + 2 = 12
From this we can conclude that N = 12, so Scrat has 12 nuts.
Now with the equation
k = (5/3)*j + (2/3)
We can find other possible combinations of j and k, that will give different values for N.
for example, if j = 5:
k = (5/3)*5 + 2/3 = 25/3 + 2/3 = 27/3 = 9
Then the pair j = 5, k = 9 is also a possible solution:
N = 3*k = 3*9 = 27
N = 5*j + 2 = 5*5 + 2 = 27
In this case, Scrat has 27 nuts.
Select the correct answer.
15
If no denominator equals zero, which expression is equivalent to I
7
+
I + 62
6
OA.
OB.
221 + 132
12 - 36
221 48
12 - 36
22
12 – 36
221 + 48
12 – 36
O C.
OD.
Reset
Next
Answer:
See Explanation
Step-by-step explanation:
Your question is poorly formatted. However, I'm able to deduce that your question involves at least 2 algebraic fractions that needs to be simplified.
So, I'll make use of the following expression:
[tex]\frac{3n}{n + 3} + \frac{5}{n - 4}[/tex]
When you follow the steps I'm about to provide, you'll arrive at the right answer
Required
Determine an equivalent expression
[tex]\frac{3n}{n + 3} + \frac{5}{n - 4}[/tex]
Step 1: Take L.C.M of the denominators
[tex]LCM = (n+3)(n-4)[/tex]
Step 2: Evaluate the fractions
[tex]\frac{3n}{n + 3} + \frac{5}{n - 4}[/tex] [tex]= \frac{3n(n-4)+5(n+3)}{(n+3)(n-4)}[/tex]
Step 3: Open the brackets at the numerator
[tex]\frac{3n}{n + 3} + \frac{5}{n - 4}[/tex] [tex]= \frac{3n^2-12n+5n+15}{(n+3)(n-4)}[/tex]
Step 4: Collect and evaluate like terms
[tex]\frac{3n}{n + 3} + \frac{5}{n - 4}[/tex] [tex]= \frac{3n^2-7n+15}{(n+3)(n-4)}[/tex]
Follow the above steps, and you'll be able to solve your question.
Please help me with this question
Answer:
11/4
29/6
32/5
Step-by-step explanation:
Answer: 11/4, 29/6, 32/5
Step-by-step explanation:
This is going to help trust me
SOMEONE PLEASE PLEASE HELP ME ON THIS!!
X=22
14 plus 8 gives you x
[tex]\frac{x}{20} =\frac{14}{8} \\x=\frac{14}{8} \times 20=35[/tex]Answer:
35
Step-by-step explanation:
Simplify:1/5 + (-2/3)?
Answer:
SOOOOOO
Step-by-step explanation:
YOU MAKE IT 1/5 + -2/3
INTOOO
3/15+-10/15
THENNNN
YOU ADD THEMMM
AND UU GETTTT
-7/15
SOOO THAT UR ANSWER ITSS A THE FIRST ONE
-7/15
Please help me!!!!!!
Answer:
The bubble on the left should be 0.01. The bubbles on the right should be: (top to bottom) 7, 0.1, 0.07, 0.004.
Step-by-step explanation:
You're just supposed to break the decimal into parts. It like breaking 178 into hundreds, tens, and ones (100 + 70 + 8)
The amount a tutor is compensated for one-hour individual or group
tutoring sessions is shown in the table. The relationship between
compensation and number of sessions is linear.
Sessions
1
2
3
4
5
39.50
69.00
98.50
128.00 157.50
Group ($)
Individual ($)
29.50
49.00
68.50
88.00
107.50
a. Find the rate of change and the initial value for the group sessions.
b. Find the rate of change and the initial value for individual sessions.
c. Compare and contrast the rates of change and initial value.
Answer:
Step-by-step explanation:
the slope is 29.5, so it is 29.5$ per hour for group
39.5-29.5 = 10$ for initial for group
49-29.5 = 19.5 perhour for individual
29.5-19.5 = 10$ for initial for indiivudla
same initial but different rates
summer babysitting. She decided
to put this money in a bank that
earns a 5% simple interest rate.
How many years will it take to
double her initial deposit?
A) 10 years
B) 12 years
C) 15 years
D) 18 years
E) 20 years
Answer: B.12 years
Step-by-step explanation:
Given the equation in point slope form y-5=1/2(x+1)
Answer:
The slope of this equation is 11/2. The point is (1/2, 0)
Step-by-step explanation:
I hope this is the right answer, good luck!
Giving brainlest if you solve 5-8
Which algebraic expression is not equivalent to 13x + 10? A 10(x + 1) + 3x B. 4x + 3 + 8x + 7 C. 13 + 2x + 3x – 3 + 8x D. 20x-2 - 7x + 12
Answer:
B is the answer
Try all and see for yourself
2 cities are 18 inches apart on a map and 30 miles apart in real life whats the scale factor used on the map.
Answer:
you're scale is 1.6666667
Step-by-step explanation:
because if you do 30 decided by 18 it gives u 1.6666667
the integers -10 and 10 are=
Answer:
Opposites of each other?
Step-by-step explanation:
I am not sure, the only thing that is not making them equal to each other is that they have opposite signs.
Three robots ran the same distance. The first robot ran 150 meters per minute.
The second robot ran 150 meters per minute faster than the first robot and 120
meters per minute faster than the third robot. The winner finished 2 minutes
before the robot that finished in second place. What distance (in meters) did the
robots run?
Answer:
900 meters.
Step-by-step explanation:
Trust me. Russian School Of Math answer :)
What is the distance from –8 to 4 on a number line?
Answer:
13 away
i used my fingers
Answer:
12
Step-by-step explanation:
-8_-7_-6_-5_-4_-3_-2_-1_0_1_2_3_4
Just count he bottom lines
Rita is hiking along a trail that is 14.8 miles long. So far she has hiked along one-tenth of the trail.
How far has Rita hiked?
Answer:
1.48 miles
Step-by-step explanation:
If the trail is 14.8 miles and Rita has hiked 1/10 of it. Then just multiply 14.8 by 1/10.
14.8 * 1/10 = 1.48 miles.
Answer:
1.48
Step-by-step explanation:
I know the answer is correct
Could y’all pls help out brainlest correct answer only
Answer:
The third option with the decimal on top as a fraction
Answer:
C
Step-by-step explanation:
Think of the proportional relationship as algebra.
k*number of MovieTickets = Cost, where k is the constant of proportionality.
To find k, you can substitute values in the table and solve for k.
In this example:
k*5 = $28.75
k = $28.75/5
This answer is C.
Victor purchased motor oil for $2 a bottle and car wax for $4 a bottle. The inequality 2x + 4y < 16 can
be used to determine the number of bottles of motor oil, x, and the number of bottles of car wax, y,
Victor purchased for less than $16, not including tax. Which of the following ordered pairs best
represents a reasonable combination of bottles of motor oil and car wax that Victor could have
purchased?
Answer:(3,2)
Step-by-step explanation:
Which of the following is a factor of x^4 - 5x^3 + 3x^2 + 15x - 2
A. 2x+3
B. x-3
C. 3x+1
D. Not factorable
Answer:
D. Not factorable
Step-by-step explanation:
X= What does ×= 88, 89 or 90
please anwser this for me!!
Answer:
No
Step-by-step explanation:
The relation given as represented by the table of values is definitely not a function. This is because, 1 domain value (x-value), is having two range values (y-values), 2 and 5, that are assigned to it.
A function cannot have two y-values assigned to one x-values.
I don’t know this someone help
Answer:
yes what that guy said is right