Answer:
Option D.
Step-by-step explanation:
Remember the Pythagorean theorem.
For a triangle rectangle of catheti A and B, and hypotenuse H, we have:
A^2 + B^2 = H^2
Now, also remember that for a square of sidelength L the area is:
area = L^2
First, you can see that square 1 has a side length equal to one of the catheti, and the same for square 2. While square 3 has a side lenght equal to the hypotenuse of the triangle.
If we define:
A = length of the smaller cathetus
then the area of square 1 is:
A^2
B = length of the larger cathetus.
The area of square 2 is then:
B^2
H as the length of the hypotenuse:
The area of square 3 is:
H^2
And by Pythagorean theorem we know that:
A^2 + B^2 = H^2
We can replace these by:
area of square 1 + area of square 2 = area of square 3.
Then the correct option is D.
Omar grouped the terms and factored the GCF out of the groups of the polynomial 3x3 – 15x2 – 4x + 20. His work is shown.
Step 1: (3x3 – 15x2) + (–4x + 20)
Step 2: 3x2(x – 5) + 4(–x + 5)
Omar noticed that he does not have a common factor. Which accurately describes what Omar should do next?
Omar should realize that his work shows that the polynomial is prime.
Omar should go back and regroup the terms in Step 1 as (3x3 – 15x2) – (4x + 20).
In Step 2, Omar should factor only out of the first expression.
Omar should factor out a negative from one of the groups so the binomials will be the same.
Answer:
2nd option
Step-by-step explanation:
Given
3x³ - 15x² - 4x + 20
step 1 ( group the first/second and third/fourth terms )
(3x³ - 15x² ) + (- 4x + 20)
step 2 ( factor each group )
3x² (x - 5) - 4(x - 5) ← note factor of - 4 ( not + 4 )
step 3 ( factor out (x - 5) from each term )
(x - 5)(3x² - 4)
Answer:
ITS D !!!!
Step-by-step explanation:
got it right on test
I will give brainliest if you add details:
A recent study asked the same 15 students their favorite subject at three different times: in elementary school, in middle school, and when getting ready to graduate from high school.
What percentage of students said that Math was their favorite subject in elementary school?
What is the percent of change for History being the favorite subject between elementary school and graduating from high school?
Answer:
53 1/3% for the first answer, and 33 1/3% increase for the second answer
Step-by-step explanation:
Ok, lets start up witht eh first question.
We need to find the percentage of studens that find math the be their favorite subject in elementary school.
We know that there are 15 kids in total.
We specificly see that 8 of those kids like math the most.
To find percentage, divide 8 by 15.
Using a calculator you should find 53 1/3% of the students found math to be their favorite subject.
Next we need to find the percentag eof change that history is over elementary school to high school.
This might sound confusing, but this is basically just a change of 3 students to 4 students.
To find percentage, just divide 3 by 4:
This gets you 33 1/3%
Hope this helps!
On a piece of paper, graph f(x)= x if x<1
1 if x ⩾1.
Then determine which answer choice matches the graph you drew.
Answer:
A.
Step-by-step explanation:
baj si ud fbs owo ehnf ko wj bd
The function is plotted and is attached.
What is a function?It is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (dependent).
It is given in the question that
f(x) = x if x <1
1 if x>_ 1
The graph of above function is attached below,
For domain x > 1, f(x)=x
For domain, x≥ 1, f(x)=1
When we see the graph that have been plotted on the basis of domain, Option D is the correct graph similar to one in the image attached.
To know more about Function
brainly.com/question/24748644
#SPJ7
Multiply the polynomials.
(8x2 + 6x + 8)(6x-5)
A. 48x3 - 4x2 + 18x + 40
B. 48x3 - 76x2 + 18% - 40
C. 48x3 - 4x2 + 78x - 40
D. 48x3 - 4x2 + 18x- 40
As a salesperson at Trading Cards Unlimited, Justin receives a monthly base pay plus commission on all that he sells. If he sells $500 worth of merchandise in one month, he is paid $410. If he sells $900 of merchandise in one month, he is paid $498.
Answer:
Justin's salary will be $1048 when he sells $3400 worth of merchandise.
Step-by-step explanation:
If the salesperson receives a monthly base pay and the commission on the sales expression that represents his monthly pay,
y = B + C(x)
Here y = Monthly pay
B = Base pay
C = percentage of commission
x = Amount of sales done
If he sells $500 worth of merchandise in a month, he earns $410,
410 = B + C(500) -----(1)
If he sells $900 worth of merchandise in a month, he earns $498,
498 = B + C(900) ------(2)
By subtracting equation (1) from equation (2),
498 - 410 = 900C - 500C
88 = 400C
C = [tex]\frac{88}{400}[/tex]
C = 0.22
From equation (1),
410 = B + 0.22(500)
B = 410 - 110
B = $300
Therefore, expression for the monthly earning will be,
y = 300 + 0.22(x)
Justin's salary when he sells $3400 worth of merchandise in a month,
y = 300 + 0.22(3400)
y = 300 + 748
y = $1048
Therefore, Justin's salary will be $1048.
help help help help help
Answer:
soryyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy
Step-by-step explanation:
iiiiiiiiiiiiiiiiiiii neeeeeeeeeeeeeeeeeeeed pointsssssssssssssssssssssssssssssssssss.
What is the domain of this function?
O {x|x>0}
O {xlx<8}
O {x|0 < x <8)
O {xlx<0x 8)
Given:
Consider the below figure attached with this question.
To find:
The domain of the graphed function.
Solution:
Domain is the set of input values or x-values.
From the given graph it is clear that the function has one end point at (0,9) and an arrow at (8,1). It means it is not a line because it is a ray that moves further from point (8,1) in the downward direction.
The minimum value of x is 0 and their is no maximum value of x because graph of the function is a ray. So, the domain of the given function is:
[tex]\text{Domain}=\{x|x\geq 0\}[/tex]
Therefore, the correct option is A.
13. Find the roots of the quadratic equation by using the quadratic formula and factorization method (i) x 2 – + 10 = 0
Answer:
x = 5 or -2
Step-by-step explanation:
The general quadratic formula is expressed as;
ax²+bx+c = 0
Given
x² - 3x -10 = 0
a = 1, b = -3 and c = -10
x = -(-3)±√(-3)²-4(1)(-10)/2(1)
x = 3±√9+40/2
x = 3±√49/2
x = 3±7/2
x = 3+7/2 or 3-7/2
x = 10/2 or -4/2
x = 5 or -2
By Factorization
x² - 3x -10 = 0
x² - 5x+2x -10 = 0
x(x-5)+2(x-5) = 0
(x-5)(x+2) =0
x - 5 =0 and x+2 = 0
x = 5 or -2
Why did the framers of the Constitution include the concept of limited government?
to promote business
to help the legislative branch
to help the judicial branch
to prevent tyranny
Answer:
to prevent tyranny
Step-by-step explanation:
the government was weak so the founding fathers decided to write it.
lol help pleas jdcbfjvbcjvdj
Answer:
C is your correct answer
Step-by-step explanation:
just multiply it together then you get 70.51
828279292992+92827299÷828×9182
Answer:
Hi, there the answer is 8.29308689E11
Step-by-step explanation:
I need help with this
7/10= 28/40
5/8=25/40
0.8=4/5=32/40
32>28>25
So 0.8>7/10>5/8
Ignacio and Kirsten want to find out if the triangle formed by connecting (-1,-1). (-3,2), and (2, 1) is a right triangle Ignacio's plan: . Use the distance formula to find the lengths of the sides. • Then see if the side lengths satisfy the equation a2 + b2 = c2 to see if it is a right triangle Kirsten's plan: • Find the slopes of the three sides. • See if any two slopes are negative reciprocals of each other Which student's plan will work?
Answer:
Both plans are correct
Step-by-step explanation:
I already did it
A bulb is rated at 330V- 110W. What do you think is its resistance? Three
such bulbs burn for 5hrs at a stretch. What is the energy consumed? Calculate
the cost in rupees if the rate is 1.70 paise per unit?
Answer:
330
Step-by-step explanation:
-$737737373hhhehehwywuuuwu
Select the correct answer. Which statement describes ? A. It is an irrational number. B. It is a rational number that has a repeating decimal expansion. C. It is a rational number that has a terminating decimal expansion. D. It is not a rational number because it is negative.
Answer:
the answer is c okay g;)
Step-by-step explanation:
hope this helps
Can someone please be generous & help I’ve been stuck here for a whole hour
Answer:
Answer: 16 Step-by-step explanation: a:2+4 =12 a:2=12-4 a:2=8 a=8 ×2 a=16 dresses
Step-by-step explanation:
Work out the size of angle x?
Please need answer ASAP thanks!!!
Solve for x. Round to one decimal place.
I keep messing this one up and im timed
Answer:
x ≈ 16.5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tanθ = opposite over adjacentStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ = 70°
Opposite Leg = x
Adjacent Leg = 6
Step 2: Solve for x
Substitute in variables [tangent]: tan70° = x/6[Multiplication Property of Equality] Multiply 6 on both sides: 6tan70° = xRewrite: x = 6tan70°Evaluate: x = 16.4849Round: x ≈ 16.5A man borrows Rs. 50000 at 12% p.A., compounded half-yearly. He pays back Rs. 18000 at the end of every six months. Calculate the third payment, he has to make to clear the entire loan
Answer:
Rs. 20246
Step-by-step explanation:
According To the Question,
Given, A man borrows Rs. 50000 at 12% per Annum(compounded half-yearly). Thus the Rate of Interest for 6 months would be 6%. Now, He pays back Rs. 18000 at the end of every six months.Thus, the third payment, he has to make to clear the entire loan.
First-Payment = ( 50000 x 1.06 ) - 18000 ⇔ 35000 Rs.
Second-Payment = (35000 x 1.06) - 18000 ⇔ 19100 Rs.
Third-Payment = (19100 x 1.06 ) ⇔ 20246 Rs. the third payment, he has to make to clear the entire loan.
Substitute (2, 1) into x + 3y = 5 to get ✔ 2 + 3(1) = 5 . Simplify the equation to get . Substitute (2, 1) into y = –x + 3 to get ✔ 1 = –(2) + 3 . Simplify the equation to get .
Answer:
See explanation
Step-by-step explanation:
A
x + 3y = 5
(x, y) = (2,1)
x + 3y = 5
2 + 3(1) = 5
2 + 3 = 5
5 = 5
The equation is true
B.
y = –x + 3
(x, y) = (2, 1)
y = –x + 3
1 = -2 + 3
1 = 1
The equation is true
Find the difference of the numbers. Express your answer in scientific notation.
(9.84 x 100)-(7.99x109)
1.85 x 10^9
9.041x 10^
1.85 x 10^10
9.041x 10^10
Answer:
D: 9.041 × 10^(10)
Step-by-step explanation:
The correct expression is;
(9.84 × 10^(10)) - (7.99 × 10^(9))
To subtract this, we need to ensure that both terms have the same powers.
Thus, (7.99 × 10^(9)) = (0.799 × 10^(10))
Lets now solve;
>> (9.84 × 10^(10)) - (0.799 × 10^(10))
Collecting like terms we have;
(9.84 - 0.799) × 10^(10)
>> 9.041 × 10^(10)
What is 1/9 of 9?
a) 1/9
b) 0
c) 1
d) 2
e) 3
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {c) \:1}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] = \frac{1}{9} \times 9\\[/tex]
[tex] = \frac{9}{9} \\[/tex]
[tex] = \frac{1}{1} \\[/tex]
[tex] = 1\\[/tex]
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35ヅ}}}}}[/tex]
says hint: divide, i dunno
distance= rate * time
distance/rate=time
(2.4 *10^20)/ (1.2*10^5) = 2 * 10^15 seconds
What is the formula or equation for this problem I don’t understand
Answer:
B
Step-by-step explanation:
From the property of parallelogram the opposite angels are equal so < DAB = < DCB so < DAB will become 16x.
9x + 5 + 16x(<DAB) = 180 ....... because it is straight line.
25x + 5 = 180
25x = 180 - 5
25x = 175
x = 7 (it's 7 because u divide 175 by 25)
now let's substitute in the angle < DCB( 16x):-16 × 7= 112
To get < ABC lets use the property of parallelogram which says tha adjacent angles are supplementary. which means <ABC + <DCB = 180
<ABC + 112 = 180
< ABC = 180 - 112
< ABC = 68
answer credits: melatleul
Find the value of x to the nearest tenth. A. 26.3 B. 5.7 C. 9 D. 8.6
Answer:
C
Step-by-step explanation:
you have the angle, adjacent and you want to find the hypotenuse
therefore use CAH - (I drew the triangle on the bottom of the attachment )
length of A / cos(angle) = hypotenuse
7 / cos(39)=9.007
Answer:
C: 9 to the nearest tenth
Step-by-step explanation:
You have three choices on your calculator to solve this problem. Only 1 of the three will work.
Sin(39)
Tan(39)
Cos(39)
You want the hypotenuse (x) and you are given the adjacent side. The adjacent side is the other side that makes up the reference angle other than the hypotenuse.
Cos(theta) = adjacent side / hypotenuse. The is the function you use.
Adjacent side = 7
Cos(39) = 7 / x Multiply both sides by x
x * Cos(39) = 7 Divide by Cos(39)
x = 7 / Cos(39)
x = 9 Isn't that neat? It is actually 9.0073. but C is the answer.
josh desposited $1,500 into an account that earns 6% simple interest every year. how much money would be in his account after 20 years ?
Answer:
Step-by-step explanation: example:
Problem: You deposit some money into a bank account paying 2% simple interest per 6 months. You received $15 in interest after 9 months. How much the deposit (principal) was?
Result: The principal was $500.
STEP 1: Convert interest rate of 2% per 6 months into rate per year.
STEP 2: Convert 9 months
STEP 3: Find principal by using the formula , where I is interest, P is total principal, i is rate of interest per year, and t is total time in years.
In this example I = $15, i = 4% and t = 0.75 years, so
What is a name for the marked angle?
Picture given
Answer:
L DAC
Step-by-step explanation:
__________________
Find the product.
-1/2 y(2y^3-8)
Answer:
Its the last one
Step-by-step explanation:
-1/2 y(2y^3+8) is
-1 y^4 + 4 y
Which statement is true regarding the graphed functions?
Answer:
they intersect at 0,-2
18⅔ ÷ ⅔
how many children are there?