Answer:
P(x)=x⁴+9x-44
Step-by-step explanation:
2. Function or Not?
Function
Not
Answer:
function?
Step-by-step explanation:
Find all sides of a right triangle whose perimeter is equal to 60 cm and its area is equal to 150 square cm
Answer:
15cm by 20cm by 25cm
Step-by-step explanation:
Let the sides of the right angle be x, y and h
x is the breadth
y is the height
h is the hypotenuse
Perimeter = x + y + h
x + y +h = 60
x+y = 60-h .... 1
If its area is equal to 150 square cm, then;
Area = 1/2 * base * height
Area = 1/2 *x * y
xy/2 = 150
xy = 300 ....2
According to pythagoras theorem;
x² + y² = h²
On expanding x² + y²
x² + y² = (x+y)² - 2xy
The equation becomes
(x+y)² - 2xy = h² ... 3
Substitute equation 1 and 2 into 3;
From 3;
(x+y)² - 2xy = h² ... 3
(60-h)² - 2(300) = h²
3600-120h + h² - 600 = h²
3600-120h - 600 = 0
-120h = 600-3600
-120h = -3000
h = 3000/120
h = 25cm
Recall that x+y+h = 60
x+y+25 = 60
x+y = 60 - 25
x+y = 35 ... 4
From equation 2;
xy = 300
x = 300/y ..... 5
Substitute 5 into 4;
300/y + y = 35
(300+y²)/y = 35
300+y² = 35y
y²-35y + 300 = 0
y²-20y-15y + 300 = 0
y(y-20)-15(y-20) = 0
y-20 = 0 and y - 15 =0
y = 20 and 15
since x+y = 35
x + 20 = 35
x = 35 - 20
x = 15
Hence the sides of the triangle are 15cm by 20cm by 25cm
3 5.73
Simplify the expression
1
+
2
+
and write the result in the form a + bi.
2
4
2
a.
-2.41
C.
2
b. 5
-2 3i
-2√3i
4
5
- Vi
4
d.
Find the length of the hypotenuse. Pls help ty
Answer:
6
Step-by-step explanation:
3√2x√2=6
I really need an answer! I'll give you a brainlyist if it's correct!
The average rainfall in Annette, Alaska, in September is 0.31 inch per day. How much rain falls over the course of an average September? (September has 30 days.)
Answer:
9.3 inches
Step-by-step explanation:
Average rainfall = total rainfall / number of days
0.31 = total rainfall / 30
total rainfall = 0.31 x 30 = 9.3 inches
work out the length x
Answer:
17.7cm (1.d.p)
Step-by-step explanation:
First do [tex]16^{2}[/tex] (16 x 16) add [tex]7.5^{2}[/tex] (7.5x7.5)
That gives us 312.25 cm
Then find the square root of that [tex]\sqrt{312.25[/tex]
That equals 17.67059705
If you do it to one decimal place, [tex]x^[/tex] is 17.7cm
Pleeease give brainliest, have a nice day.
how do i find whether it is sss sas or aas or hl?
Answer:
easy it 53847263
Step-by-step explanation:
it is
Answer:
A: SSS | B: HL | C: SAS
Step-by-step explanation:
Firstly, SSS is where you know that each side of a triangle is congruent to the other triangle.
Secondly, SAS is where you know two sides and an angle are congruent. This angle will be between two sides that are congruent. This can be put clockwise or counterclockwise, but the sides and angle must be consecutive.
Thirdly, AAS is where you know two angles and one side are congruent.
Lastly, HL (Theorem) is where you know that the hypotenuse and a leg of a right triangle are congruent.
A: TU≅WX, ST≅XV, and SU≅VW
B: Two right triangles; HA and OK are the hypotenuses, and HA≅OK, RH≅RK
C: ZW≅YX, ∠W≅∠X, and WX≅WX
HELP ASAP PLS PLS HELP
D is your awnser for today
Answer:
D
Step-by-step explanation:
It’s just a graph, but I need the answers.
Answer:
1 hour is 100 dollars
Step-by-step explanation:
i*d*k if its what u were looking for but yeah
Betty has 25 baseball cards and 10 basketball cards in her sports card collection what is the ratio of baseball cards to basketball cards
Answer:
25:10
Step-by-step explanation:
Plz give brainliest I wanna level up
Answer: 5:2
Step-by-step explanation:
Nora started a business making bracelets. She spent $75.00 on advertising and $35 on supplies. She sells each bracelet for $1.50. What is the least number of bracelets Nora needs to sell to make more money than she spent?
SHOW YOUR WORK
Answer:
74 bracelets
Step-by-step explanation:
75+35=110 her total expenses
110/1.50-74 Number of bracelets she must sell
Let me know if it helped! if it didn't i am sorry!
Q3.
Bill's weight decreases from 64.8 kg to 59.3 kg.
Calculate the percentage decrease in Bill's weight.
Give your answer correct to 3 significant figures.
Answer:
8.48%
Step-by-step explanation:
Bill's weight decreases from 64.8 kg to 59.3 kg.
We need to find the percentage decrease in Bill's weight. It can be calculated as follows :
[tex]\%=\dfrac{64.8 -59.3 }{64.8 }\times 100\\\\=8.48\%[/tex]
So, the required decrease in percentage is 8.48%.
⚠️I mark brainlist⚠️What is the simplified value of the exponential expression 16^1/4 ?
O1/2
O1/4
O2
O4
Answer:
2
Step-by-step explanation:
Which table represents a linear function?
Answer:
C.
Step-by-step explanation:
1 -3
2 -5
3 -7
4 -9
Because it has a constant slope it is increasing x by 1 and decreasing y by -2.
Slope: -2/1 or -2x
Answer:
I think its the first table.
Step-by-step explanation:
My reasoning behind this is because all of the Y values are being multiplied by 2 each times.
1 5/18 + 1 5/18 + 17/18 + 17/18
Answer:
4.444
Step-by-step explanation:
mark me brainliest plz
PLEASE HELPPP. What is the value of X? type the number TYPE ONLY THE NUMBER
Answer:
Value of X is 11
Step-by-step explanation:
hope it helps
The correct prime factorization of 22,770 is...
A) 6 • 5 • 11 • 23
B) 2.3.5.11 • 23
C) 2. 3. 3.5. 11. 23
D) 2 • 3 • 3.3.5. 7. 11
E) 3 • 3.5.5.5.7.7
Evaluate -3(6) please help me with this question
Answer:
-18
Step-by-step explanation:
Answer:
-18
Step-by-step explanation:
This question is asking -3 times 6. To solve, first multiply 3 x 6 to get 18. Now add the negative sign to get -18.
Hope it helps!
can you please help me??
15 minutes
1 hour divided by 4 is 15
hope that helped
Plz help me wit this
Answer:
A = -28
B = -22
C = -13
D = -4
E = 2
Step-by-step explanation:
Answer:
A = -21
B = -19
C = -13
D = -7
E = -4
Step-by-step explanation:
Looking at the only two numbers provided, and that one space between them, we can only assume that they're being increased by 3. :
-16 + 3 = C
-16 + 3 = -13
-13 + 3 = -10
So we can do the same for all answers except A and B because they're before -16. Instead for A and B, we subtract 3 because they're before -16.
-16 - 3 = B = -19
-19 - 3 = A = -21
-10 + 3 = D = -7
-7 + 3 = E = -4
-21 , -19 , -16 , -13 , -10 , -7 , -4
A B C D E
Evaluate the expression when p=5.
p2 - 17
Answer:
-7
Step-by-step explanation:
If p=5 then p times 2 equals 10.
10 - 17 = -7
Answer:
-7
Step-by-step explanation:
p2 - 17 will be turned into
(5)2 - 17 (multiply)
10 - 17 (subtract)
= -7
I'm stuck on my math homework. Need help! Please solve!
Answers:
Sam's current age = 24The mother's current age = 48=========================================================
Explanation:
s = Sam's age right now
2s = the mother's age right now, since she is twice as old as Sam currently.
In 12 years time, Sam will be s+12 years old.
12 years ago from this current year, the mother was 2s-12 years old.
Since we're told these future and past ages line up, this means s+12 and 2s-12 are the same value
Set the expressions equal to one another and solve for s.
s+12 = 2s-12
s-2s = -12-12
-s = -24
s = 24
Sam is currently 24 years old.
His mother is currently 2s = 2*24 = 48 years old.
12 years ago, his mother was 2s-12 = 48-12 = 36 years old.
12 years from now, Sam will be s+12 = 24+12 = 36 years old.
Since we get 36 each time, this confirms we have the correct answers.
Mrs. Grubb bought some shirts for $4 each and some hats for $12 each. She bought 9 pieces of clothing for $100. Write a system of equations that you could use to solve this problem.
Answer:
Mrs. grub bought total number of shirts = 1
Mrs. grub bought total number of hats = 8
Step-by-step explanation:
Let Mrs. grub bought total number of shirts = x
Let Mrs. grub bought total number of hats = y
As given,
Price of 1 shirt = $4
Price of 1 hat = $12
⇒ Price of x shirts = $ 4x
Price of y hats = $ 12y
Given that,
Mrs. Grubb bought total piece of clothes = 9
⇒ x + y = 9 .......(1)
Also given,
She bought all clothing for $100
⇒ 4x + 12 y = 100 ........(2)
Divide equation (2) by 4 we get
x + 3y = 25 .......(3)
Now,
Subtract equation (1) from equation (3) , we get
x + 3y - ( x + y ) = 25 - 9
⇒ x + 3y - x - y = 16
⇒2y = 16
⇒y = [tex]\frac{16}{2}[/tex] = 8
⇒ y = 8
Put value of y in equation (3), we get
x + 3(8) = 25
⇒x + 24 = 25
⇒x = 25 - 24 = 1
⇒x = 1
∴ we get
Mrs. grub bought total number of shirts = x = 1
Mrs. grub bought total number of hats = y = 8
Rita is hosting movie night tonight. To get ready, she makes popcorn. She fills both a small bowl and a large bowl to the top with popcorn, and then she adds the same amount of salt to both bowls. Which bowl of popcorn will taste saltier?
Simplify 8gh x 2g2 x 3h
8gh x 2g2 x 3h
Simplified is 8 · 3 gghhxx ·2 · 2
and can also be:
8ghx · 2g · 2x · 3h
24g ₁ ₊ ₁ h ₁ ₊ ₁ x ₁ ₊ ₁ · 2 ₁ ₊ ₁
Which equals 3000?
A.100 x 300
B.10 x 300
C.10 x 30
D.1000 x 30
Answer:
B.10×300
Step-by-step explanation:
HOPE THIS HELP
Answer:
b. 10 × 300
Step-by-step explanation:
hope this helps you!
Neeed helppp plssss help help
Step-by-step explanation:
[tex]v = \frac{4}{3} \times 3 \times {2}^{3} = 4 \times 8 = 32 \: {cm}^{3} [/tex]
During a class activity Raymond drew the layout of his bedroom on graph paper. He made all objects proportional. His teacher said that his bed and his dresser were similar on the layout.
Why did Raymond’s teacher say the two pieces of furniture were similar
They are the same shape but different sizes.
They are the same shape and the same size.
They are both rectangles.
They are both quadrilaterals.
Answer:
I believe the answer is - they are the same shape but different sizes
Lisa added 4 7 15 and 5 2 5 to get a sum of 10 2
Step-by-step explanation:
n v r good morning to you and your family too
Answer:
Step-by-step explanation:
A