Answer:
Step-by-step explanation:
Without a picture this is murky but if the squares are adjacent to the legs and the unknown square is adjacent to the hypotenuse this is an example of the Pythagorean Theorem. The area of the third square is equal to the sum of the areas adjacent to the sides.
c^2=a^2+b^2
Answer:
11 units^2 or just 22
Step-by-step explanation:
The amount of money that Maria had in a savings amount at the beginning of 2018 was $2,750. At the beginning of 2019, the same saving account
Complete question :
The amount of money that Maria had in a savings account at the beginning of 2018 was $2,750. At the beginning of 2019, the same savings account now had $3,201 in it.
By what percent did Maria’s savings increase from 2018 to 2019? Show the work that leads to your answer and do not round.
Answer:
16.4%
Step-by-step explanation:
Given that:
Amount in 2018 = 2750
Amount in 2019 = 3201
Percentage increase in savings :
[(amount saved in 2019 - Amount saved in 2018) / Amount saved in 2018] * 100%
[(3201 - 2750) / 2750] * 100%
= 451 / 2750 * 100%
= 0.164 * 100%
= 16.4%
Please help and show your work!!
Factor the following
[tex]3x^{2} -4x-7[/tex]
Answer:
[tex] \sf \huge \boxed{ \boxed{(3x - 7)(x + 1)}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:factoringPEMDASlet's solve:[tex] \sf \: rewrite \: - 4x \: as \: 3x - 7 x: \\ \sf {3x}^{2} + 3x - 7x - 7[/tex][tex] \sf factor \: out \: 3x: \\ \sf3x( x + 1) - 7x - 7[/tex][tex] \sf factor \: out \: - 7: \\ \sf3x( x + 1) - 7(x + 1)[/tex][tex] \sf \: group : \\ (3x - 7)(x + 1)[/tex]and we are done!
Explanation:
1.) Use the sum-pruduct pattern
3x^2-4x-7
3x^2+3x-7x -7
Common factor from two pairs
3x^2 +3x-7x-7
3x(x+1) - 7(x+1
Rewrite in factored form
3x(x+1) - 7(x+1)
(3x-7) (x+1)
Answer:
(3x-7)(x+1) I know we both have the same answer18x^2-8=0 I have to factor it but I’m not sure how to! Please help!
Answer:
hope it helps...........
Answer:
[tex]x=-2/3, 2/3[/tex]
Step-by-step explanation:
A bookcase is to have 5 shelves including the top. The height of the bookcase is to be 3 feet more than the width and only 20 feet of lumber is available. Use an equation to determine the width and height of the bookcase?
Answer:
The width and height is 1.375 and 4.375 respectively
Step-by-step explanation:
The computation of the width and height of the book case is shown below:
Let the width be w
And, the height be h
So, the following equations should be made
5w+3h=20 ......(i)
h = w + 3......(2)
Now
put the value of h in equation (1)
5w + 3(w + 3) = 20
5w + 3w + 9 = 20
8w = 20-9
8w = 11
w = 11 ÷ 8
= 1.375
And, the height would be
= 1.375 + 3
= 4.375
If TRAP is an isosceles trapezoid, what is the value of X?
6x"
(2x + 4)"
Answer:
The answer is 22.
Step-by-step explanation:
6x+2x+4=180
8x+4=180
8x=176
x=22
A polygon on a coordinate grid was transformed using the rule (x,y) -> (x-4,y-3). Which of these describes this transformation?
A: a translation 4 units to the left and 3 units down
B: a translation 4 units to the right and 3 units down
C: a translation 4 units to the left and 3 units up
D: a translation 4 units to the right and 3 units up
what is the surface area of this rectangle prison of 6 9 4
Answer:
You need to be specific on which is the length, height and width. Making the most basic assumption I would have to assume the answer is 228
Step-by-step explanation:
Formula for the surface area of a rectangular prism is A=2(wl+hl+hw)
A = 2 x (9 x 6 + 4 x 6 + 4 x 9)
A = 2 x (54 + 24 + 36)
A = 2 (114)
A = 228
How much paint is needed to cover a floor that is 8 meters by
10 meters?
Answer:
enough to paint an area = 80 m²
Step-by-step explanation:
area = 8 x 10 = 80 m²
What is the slope of the equation: y = - 5x -6
Answer:
-5
Step-by-step explanation:
The slope is always the coefficient of x, and the coefficient of x here is negative 5.
How do you solve for x in the equation (2x - 3)/5 = (x + 1)/6?
Answer:
x= 23 /7
Step-by-step explanation:
Kareem received $50 during his birthday. In addition, he saves $10 each week. Which equation can help find w, the number of weeks it will take Kareem to save a total of $200?
Answer: 50+10w=200 w=15
Step-by-step explanation:
So we know that Kareem starts off with $50 and every week he gains an additional $10 so as many weeks it takes to get $150 in addition to the $50 he already has to get $200. so $50+$10w=$200 where w represents the number of weeks it takes until the sum is 200
Can someone please help????
Answer:
your answer is the third one
Step-by-step explanation:
Answer:
its 4
Step-by-step explanation:
x
4
4x + 10x+4
a (2n+1)
Answer:
1st =14x+4
2nd =2an+a
Step-by-step explanation:
1st Let's simplify step-by-step.
4x+10x+4
Combine Like Terms:
=4x+10x+4
=(4x+10x)+(4)
=14x+4
2nd
a(2n+1)
=(a)(2n+1)
=(a)(2n)+(a)(1)
=2an+a
Hope this helps :)
PLS BRAINLIEST
Evaluate using P E M D A S 2 x 3 + 4
Step-by-step explanation:
We would do multiplication first, because of order of operations.
2x3=6
Now we add.
6+4=10
hope it helps! :3
25 POINTS IF YOU ANSWER THIS AND PLEASE TELL ME WHAT K IS!!
9514 1404 393
Answer:
k = 2
Step-by-step explanation:
Find a coordinate of a point and its image. k is the ratio of those.
Here, it is easy to use the y-coordinate of J and J'.
Jy = -1
J'y = -2
k = J'y/Jy = -2/-1 = 2
The scale factor k is 2.
4 (3+ 1/4c -1/2d) = _____
4(3+14c−12d)
=(4)(3+14c+−12d)
=(4)(3)+(4)(14c)+(4)(−12d)
=12+c−2d
=c−2d+12
If m = (3x-1) and n = (3x+1),sjow that x² = mn+1 by 9
Step-by-step explanation:
[tex] {x}^{2} = \frac{mn + 1}{9} [/tex]
[tex](3x - 1)(3x + 1)[/tex]
[tex]9 {x}^{2} - 1[/tex]
[tex] {x}^{2} = \frac{9 {x}^{2 } - 1 + 1 } {9} [/tex]
[tex] {x}^{2} = \frac{9 {x}^{2} }{9} [/tex]
[tex] {x}^{2} = {x}^{2} [/tex]
So this identity is true.
An ice cube tray has 12 sections. Each section has the shape of a 3 m cube. What is the volume of water used to fill the tray?
Answer:
324 m³
Step-by-step explanation:
each cube = 3x3x3 = 27 m³
27 m³ 12 = 324 m³
If x=−5, what is the value of 7−x(2x+1)?
Answjnweijfbiqwerf
Step-by-step explanation:
Joey earns a weekly salary of $325 plus a commission on his total sales. Last week his sales were $2950, and he earned a total of $915. What was his commission rate?
Answer:
Commission rate is 20%.
Step-by-step explanation:
Joey's weekly salary is $325
Plus a commission on his total sales.
Let commission is x% on his total sales.
So, we can set up equation for the given information as
325+x%(2950)= 915
Solve this equation for x%.
Subtract both sides 325
x%(2950) =590
Divide both sides by 2950
x%=0.2
We know x% means it is [tex]\frac{x}{100}[/tex]
So, [tex]\frac{x}{100} =0.2[/tex]
Multiply both sides by 100
x=20%.
So, commission rate is 20%
someone please help me ASAP!!!!!!!
Answer:
the change in x is 1, the change in y is 4, the slope is 1/4
Step-by-step explanation:
the time increases by one minutes as the temperature increases by 4 degrees. therefore, every one minutes the temperature increases by four degrees. 1/4
Answer:
1, 4 and 4
Step-by-step explanation:
x = 10-9 = 1
y = 64-60 = 4
Rate of change = temperture / time
= 4/1
= 4.
An advertising company is curious about the impact the lengths of their television advertisements have on viewers' feelings about a product. They showed advertisements of different lengths to a group of volunteers and asked the volunteers to rate how positive they felt about the product on a scale of 111 to 101010. Their data is shown in the table below.
Avg. product rating/ 6.0/ 7.0/ 5.0/ 3.0/ 2.5
Ad length (seconds) 30/ 45/ 60/ 75/ 90
Answer:
Graph C
Step-by-step explanation:
Khan Academy
The correct graph that represents the given data effectively would be:
Graph C
The given data offers the average ratings of the product and the length of their advertisements in seconds.The third graph most effectively shows the data as it contains provided variables on the appropriate axis i.e. ad length on the x-axis and the average rating on the y-axis. The other graphs fail to represent the explanatory variable and the other variable effectively.Thus, 'graph C' in the scatter plot format is the correct answer.
Learn more about "Data" here:
brainly.com/question/16348111
I need this answer ASAP! Please help!
A ladder is leaning against a building. The ladder forms an angle of 77° with the ground. The distance from the base of the ladder to the base of the building is 8 feet.
Answer:
Step-by-step explanation:
sin77=h/8
h=8sin77
h=8(0.9744)
h=7.7952ft
Please help!
(Vieta's Formulas) Let [tex]r[/tex], [tex]s[/tex], and [tex]t[/tex] be solutions to the equation [tex]$2x^3 - 3x^2 + 4x - 1 = 0$[/tex]. Find [tex]$r^2+s^2+t^2$[/tex].
Please include an explanation as well :)
We are given the polynomial:
2x³ - 3x² + 4x - 1 = 0
We need to find the value of r² + s² + t² where r,s,t are the solutions.
Simplifying r² + s² + t²:
r² + s² + t² = (r + s + t)² - 2(rs + st + rt)
[since a²+b²+c² = (a+b+c)² - 2(ab + bc + ca)]
Using the Vieta's formulae:
Above, we can see that in order to find the value of r² + s² + t², we need to find the value of the sum of solutions and sum of solutions taken 2 at a time.
Sum of roots:
We know that the Vieta's formula to find the sum of roots is:
Sum of roots = [tex]-\frac{b}{a}[/tex]
Where b and a are the coefficients from the general form: ax³ + bx² + cx - d
We notice that for the given equation, b = -3 ; a = 2
Sum of roots = [tex]-(\frac{-3}{2})[/tex]
Sum of roots = [tex]\frac{3}{2}[/tex]
Hence, the sum of roots (r + s + t) = 3/2
Sum of roots taken two at a time:
We know that the Vieta's formula to find the sum of roots taken 2 at a time is: Sum of roots taken 2 at a time = [tex]\frac{c}{a}[/tex]
Where c and a are the coefficients from the general form: ax³ + bx² + cx - d
for the given equation, c = 4 ; a = 2
Sum of roots taken 2 at a time = [tex]\frac{4}{2}[/tex]
Sum of roots taken 2 at a time = 2
Hence, the sum of roots taken 2 at a time (rs + st + rt) = 2
Finding the value of r² + s² + t²:
We proved before that:
r² + s² + t² = (r + s + t)² - 2(rs + st + rt)
now that we know the values of (r + s + t) and (rs + st + rt), we can plug those values to get our answer
r² + s² + t² = ([tex]\frac{3}{2}[/tex])² - 2(2)
r² + s² + t² = ([tex]\frac{9}{4\\}[/tex]) - 4
r² + s² + t² = [tex]\frac{9 - 16}{4\\}[/tex]
r² + s² + t² = [tex]\frac{-7}{4}[/tex] = -1.75
Hence, the value of r² + s² + t² is -1.75
Josh is hiking Glacier National Park. He has now hiked a total 17 km and is 2
km short of being 1/2 of the way done with his hike. Which equation should
be used to determine the total length in kilometers (h) of Josh's hike? *
A) (2 x 17) +2 = h
B)17+ 2 = h
C) 2(17+ 2) = h
D) 17+ 2 = 2h
At a party, James notices that 15 pitchers of lemonade are filled to the same level, but not to the top. He combines all the lemonade to fill six whole pitchers. What fraction of each of the 15 pitchers was full?
Answer:
1/6th of them
Step-by-step explanation:
Find the slope using points ( 5.1) and (9,4)
Answer:
Step-by-step explanation:
m = (4-1) / (9-5)
m = 3/4
Can someone figure this out for me?
Answer:
44°
Step-by-step explanation:
cos B = 0.7193 = 44°
Consuelo won the lottery. He can receive $100,000 or $3 on day 1, $9 on day 2, $27 on day 3... etc for 30 days. Which option will give Consuelo the most money?
how would I solve this? I'm not sure what to do on this question, don't give me the answer, just kinda tell me what to do
Answer:
ordü use uuuuuv bûsh!!!!!!!!!!
Does the rule y = −2 · 2x represent a linear or an exponential function?
Exponential