Answer:
a squared + b squared = c square
Step-by-step explanation:
In this formula c represents the length of the hypotenuse a and b are the legnths of the other two sides. if two sides of a right triangle are known you can subsitute these values in the formula to find the missing side
2x²-26x+84 (Factor COMPLETELY)
[tex]\tt{} {2x}^{2} - 26x + 84[/tex]
[tex]\tt{}2 {(x}^{2} - 13x + 42)[/tex]
[tex]\tt{}2 {(x}^{2} - 6x - 7x + 42)[/tex]
[tex]\tt{}2( x \times (x - 6) - 7(x - 6))[/tex]
[tex]\tt{}2(x - 6) \times (x - 7)[/tex]
Find the value of r(q(-5)).
Answer:
=−5qr
Step-by-step explanation:
6x + 6y=-6
5x + y=-13
Answer:
(-3, 2)
x=-3, y=2
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation. and thats how you get your answer :)
The value of x is -3 and value of y is 2.
The given equations are:
6x + 6y=-6 ..(1)
5x + y=-13...(2)
From equation (2)
y=-13+5x..(3)
Plug in equation in equation (1):
6x + 6(-13+5x)=-6
6x-78+30x=-6
24x=-72
Divide both sides by 24:
x=-72/24
x=-3
Now put x=-3 in equation (2):
5(-3) + y = -13
-15 + y = -13
y = -13 + 15
y = 2
Hence, the value of x is -3 and value of y is 2.
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ahh can someone help me please
The area of square ABCD is 144 square units. The area of square EFGH is 64 square units. H∈ AB and G∈ BC . The blue area is three times the red area. Find the area of △HBG.
Answer:
24
Step-by-step explanation:
RSM
Hi! I have an math exam tomorrow and I really need you guys help.
[tex] \frac{1}{2} - \frac{2}{2} - \frac{4}{2} + ... + \frac{39}{2} + \frac{40}{2} [/tex]
please help!
daniel has $50 saved and makes $7.50 per hour working how much money would daniel have after working 10 hours
somebody help me ASAP!!! No joking
Answer:
it is given that. a^2 + b^ 2 = c^2
then we need to find b
then formula will
b= √(c^2 - a^2)
hence 3600 - 1296
=. √{ 1296}
=. 48
Hi guys can you answer my math question
Answer:
Any 3 trinalges
Step-by-step explanation:
total triangles= 9
1/3 of 9 = 1/3 x 9 = 3
So, shade 3 triangles
I hope im right!1
Step-by-step explanation:
There are total 9 parts of the triangle
⅓ of 9 is 3.
Therefore shade any 3 parts.
Mathematics-Session 1: No Calculator
1. Which situation could be modeled by the expression - 12 x
A.
B.
A piece of rope has a length of 12 feet. It is cut into 3-foot pieces.
A fish is swimming 12 feet below sea level. It then swims to of that depth.
A student deposits $12 into a bank account. He then deposits another of that
C.
amount.
D.
A bird decreases the height it flies by 12 yards. It then decreases the height it flies
by another ş yard.
Answer:
Think it is D I am not sure
Step-by-step explanation:
Find the quotient. 42j4k2 ÷ (-3j3k)
Answer:
(-14) (4/3k) = -56k/3
Step-by-step explanation:
42/-3 = -14
j/j = 1, so j "cancels"
4k²/3k = 4/3k
Answer:
-14jk
Step-by-step explanation:
x/4 = 1/3 what is x?
Step-by-step explanation:
Given
[tex] \frac{x}{4} = \frac{1}{3} \\ cross \: multiply \\ 3x = 4 \\ x = \frac{4}{3} [/tex]
Hope it will help :)
Answer:
1/3×4 = 1, 3
x is 1,3
Step-by-step explanation:
hope this helps!
Identify the rule for fg when f(x) = –3x – 6 and g(x) = x2 – x – 6.
Answer:
f(g) = -3( x^2 -x-6) -6 = -3x^2+3x+12
Miss Van invested some money by using the app e-trade. She tracks her
gains and losses using the app on her phone. Miss Van receives a daily
notification that updates her on all her transactions from the previous day.
This morning, her notification read as follows: Yesterday's investment
activity included a loss of $500, a gain of $740, and another gain of $120.
Log in now to see your current balance. Write an integer to represent the
highlighted box.
Answer:
$360
Step-by-step explanation:
Gains represents additions to her account while losses represent substractions
-$500
+740
+120 ________
$360
In a race in which 6 automobiles are entered and there are no ties, in how many ways can the first three finishers come in?
Answer:
Step-by-step explanation:
number of ways=6×5×4=120
a. How far is the spot on the beach from the parking lot?
b. How far will he have to walk from the parking lot to get to the refreshment stand?
Show work please.
The altitude of the right triangle is the geometric mean of the 2 parts of the side it separates.
a. The answer would be sqrt(18*32)=24
The question to the second question can be answered by using the Pythagorean theorem.
32^2+24^2=1600=40^2
b. The answer would be sqrt40^2=40
The beach, the parking lot and the refreshment stand are illustrations of similar triangles.
The distance between the spot and the parking lot is 24 mThe distance between the refreshment stand and the parking lot is 40 m(a) The distance between the spot and the parking lot
Represent this distance with d.
So, the equivalent ratio is:
[tex]\mathbf{32:d = d : 18}[/tex]
Express as fractions
[tex]\mathbf{\frac {32}d = \frac{d}{ 18}}[/tex]
Cross multiply
[tex]\mathbf{d \times d = 32 \times 18}[/tex]
[tex]\mathbf{d^2 = 576}[/tex]
Take square roots
[tex]\mathbf{d = 24}[/tex]
Hence, the distance between the spot and the parking lot is 24 m
(b) The distance between the refreshment stand and the parking lot
Represent this distance with d.
Using Pythagoras theorem we have:
[tex]\mathbf{d^2 = 32^2 + 24^2}[/tex]
[tex]\mathbf{d^2 = 1600}[/tex]
Take square roots
[tex]\mathbf{d = 40}[/tex]
Hence, the distance between the refreshment stand and the parking lot is 40 m
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What is the height of the screen?
Answer:
2880
Step-by-step explanation:
what is the coefficient of the c-term algebraic expression 14a-72r-c-34c
What type of pattern do linear functions have
Answer:
"adds by the same unbmer every time" is prob ur best bet
Step-by-step explanation:
Answer:
add by the same number everytime
Step-by-step explanation:
What is the total cost of a $12 t-shirt if the sales tax is 6.5%?
can u pls help me i need help
Answer:
cbbbbb
Step-by-step explanation:
SOMEONE HELP PLEASE
Answer:
We cant see what you are talking about we cant see the equation
Step-by-step explanation:
Step-by-step explanation:
106+94+135+5 = 340
540-340=200
200/2= 100
X = 100
Complete the function table for y=2.5x−8 .
Answer:
x=3.2
Step-by-step explanation:
The value of the function at x =1 is -5.5.
What is a function?The expression that established the relationship between the dependent variable and independent variable is referred to as a function. In the function as the value of the independent variable varies the value of the dependent variable also varies.
Given that the function is y = 2.5x - 8. The value of the function will be calculated as,
At x = 1 the value of y will be,
y = 2.5 x - 8
y = ( 2.5 x 1 ) - 8
y = 2.5 - 8
y = -5.5
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Find the measure of x in the right triangle.
X
21
2
Answer:
I'm not sure if this is the right answer b/c ur question is too vague but the answer is x = 67
Step-by-step explanation:
x + 21 + 2 = 90
x + 23 = 90
- 23 - 23
x = 67
Which expression is equivalent to -2(x - 5) - 9x?
11x - 5
7x + 10
-11x - 5
-11x + 10
Answer:
-11x+10
Step-by-step explanation:
-2(x-5)-9x
Distribute:
-2x+10-9x
Combine like terms:
-11x+10
Hope this helps!
Options are increase/decrease
what is the inequality -24<3(3x-2)<30
Answer:
− 2 < x < 4
Step-by-step explanation:
Learning Task 3
Solve the word problems
1. The sides of the quadrilateral are consecutive numbers.
how long is each side?
2. Inzo is 10 years older than Migz. Five years ago Mig
Inzo. What are their present ages?
3. An express train travels 100 kph from station A to
travelling at 45 kph, takes 45 minutes longer for the
is station A from station B.
4. The sum of two consecutive even integers is less tha
Find at least 3 pairs of numbers
5. The perimeter of the square is less than 152 m. Find
sides of the square.
Answer:
1. The sides are: 38.5, 39.5, 40.5 and 41.5
2. Presently, Inzo is 15 years old and Miz is 10 years old
3. [tex]Distance = 3682km[/tex]
4. Possible pairs are: (12, 14), (16, 18) and (20, 24)
5. [tex]L < 38m[/tex]
Step-by-step explanation:
The question has lots of missing details. See the comment section for complete question
Solving (a):
Given
Shape: Quadrilateral
Sides: Consecutive
[tex]Perimeter = 160[/tex]
Let one of the sides be x. The other sides will be x + 1, x + 2 and x + 3.
So, the perimeter is:
[tex]Perimeter = x + x + 1 + x + 2 + x + 3[/tex]
This gives:
[tex]160 = x + x + 1 + x + 2 + x + 3[/tex]
Collect Like Terms
[tex]160 -1-2-3= x+x+x+x[/tex]
[tex]154= 4x[/tex]
Divide both sides by 4
[tex]38.5 = x[/tex]
[tex]x =38.5[/tex]
So, the sides are: 38.5, 39.5, 40.5 and 41.5
Solving (b):
Given
Presently: [tex]Inzo = 10 + Miz[/tex]
Five years ago: [tex]Miz - 5= \frac{1}{3} * (Inzo-5)[/tex] --- (Missing from the question)
Required: Determine their present ages
Substitute [tex]10 + Miz[/tex] for Inzo in the second equation
[tex]Miz - 5 = \frac{1}{3} * (10 + Miz - 5)[/tex]
[tex]Miz - 5 = \frac{1}{3} * (Miz + 5)[/tex]
Multiply both sides by 3
[tex]3Miz - 15 = Miz + 5[/tex]
Collect Like Terms
[tex]3Miz -Miz = 15 + 5[/tex]
[tex]2Miz= 20[/tex]
Divide both sides by 2
[tex]Miz = 10[/tex]
Substitute 10 for Miz in [tex]Inzo = 10 + Miz[/tex]
[tex]Inzo = 10 + 5[/tex]
[tex]Inzo = 15[/tex]
So presently, Inzo is 15 years old and Miz is 10 years old
Solving (3):
Given
Express Train:
[tex]Speed = 100kph[/tex]
[tex]Time = t[/tex]
Local Train:
[tex]Speed = 45kph[/tex]
[tex]Time = t + 45[/tex]
Required: Determine the distance between A and B
Distance is calculated as:
[tex]Distance = Speed * Time[/tex]
For the express train:
[tex]Distance = 100 * t[/tex]
For the local train
[tex]Distance = 45 * (45 + t)[/tex]
Distance between both stations are equal; So,
[tex]100 * t = 45 * (45 + t)[/tex]
[tex]100 t = 2025 + 45t[/tex]
Collect Like Terms
[tex]100 t -45t= 2025[/tex]
[tex]55t= 2025[/tex]
Divide by 55
[tex]t = 36.82[/tex]
Substitute 36.82 for t in [tex]Distance = 100 * t[/tex]
[tex]Distance = 100 * 36.82[/tex]
[tex]Distance = 3682km[/tex]
Solving (4):
Let the even numbers be: n and n + 2.
Sum greater than 24: [tex]n + n + 2 > 24[/tex]
Sum less than 60: [tex]n + n + 2 < 60[/tex]
So, we have:
[tex]n + n + 2 > 24[/tex]
[tex]2n + 2 > 24[/tex]
Collect Like Terms
[tex]2n > 24-2[/tex]
[tex]2n > 22[/tex]
[tex]n > 11[/tex]
[tex]n + n + 2 < 60[/tex]
[tex]2n + 2< 60[/tex]
Collect Like Terms
[tex]2n < 60-2[/tex]
[tex]2n < 58[/tex]
Divide by 2
[tex]n<29[/tex]
So, we have:
[tex]n > 11[/tex] and [tex]n < 29[/tex]
So, possible pairs are: (12, 14), (16, 18) and (20, 24)
Solving (5):
Given
[tex]Perimeter < 152m[/tex]
Required: Find the possible lengths
Let the length be L.
Perimeter is calculated as:
[tex]Perimeter =4 * L[/tex]
[tex]Perimeter =4 L[/tex]
So, we have:
[tex]4L < 152m[/tex]
Divide through by 4
[tex]L < 38m[/tex]
Hence, length is less than 38m (e.g. 37m)
Why is it a problem to find the square root of a negative number, for example √-4?
Answer:
It is not possible because no number times itself can equal a negative number.
Answer:
Taking the square root of a negative number is a problem because this technically does not follow the rules of a square root. A square root is made of a number times itself, and therefore, is impossible to have a negative times a positive to make a negative total (An example would be √4, as the answer can be 2 (because 2 x 2 = 4) or -2 (because -2 x -2 = 4)).
This means that in order to solve √-4, you must use imaginary numbers. This is represented by "i."
For the example of √-4, your answer would be 2i. These imaginary numbers are used whenever you are square rooting a negative number in order to show that it is breaking the real rules of roots.
For the expression 2 x squared + 28 x + 93 Over (x + 6) cubed, which sum represents the correct form of the partial fraction decomposition?
Answer:
Option-3
Step-by-step explanation:
got-it-lol
also-keyboard-broke:(