Answer:
-17x² + 3x
Step-by-step explanation:
(-8x² + 3) + (-9x² + 3x - 3)
-8x² + 3 - 9x² + 3x - 3
-17x² + 3x
PLEASE HELP ME! (It's not "B")
Answer:
b is the correct answer
Can a right triangle have sides of 12, 16, and 20?
A fair spinner has 9 equal sections: 3 red, 4 blue and 2 green. It is spun twice. What is the probability of getting not green then green?
The table shows the prices of pairs of socks from different clothing stores.
Store
Pairs of Socks
Price
American Raven
4
$10.40
Eternally 17
6
$16.50
Pineapple Republic
8
$19.60
Young Army
12
$28.20
Which store has the lowest price per pair of socks?
the diagram shows a right-angle triangle.
Answer:
Step-by-step explanation
The shortest length of the right-angled triangle is 4 cm.
What is a right-angle triangle?A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or anyone angles is a right angle.
Given is, the diagram shows a right-angle triangle.
We have area of the right-angle triangle = 18 cm²
We know that area of a right-angle triangle = 1/2(base)(height)
18 = 1/2(x - 1)(x + 4)
36 = (x - 1)(x + 4)
x² + 4x - x - 4 = 36
x² + 3x - 4 = 36
x² + 3x - 4 - 36 = 0
x² + 3x - 40 = 0
x² - 5x + 8x - 40 = 0
x(x - 5) + 8(x - 5) = 0
x + 8)(x - 5) = 0
x = -8 or 5
we can only use positive numbers because length can't be negative,
Thus, x = 5
The shortest side is definitely one of the 2 legs. The hypotenuse of a triangle is the longest side.
Therefore,
height = x - 1 = 5 - 1 = 4 cm
base = x + 4 = 5 + 4 = 9 cm
Hence, the shortest length of the right-angled triangle is 4 cm.
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PLS HELP ASAP I WILL GIVE BRAINLIEST!!!!
An isosceles triangle (that is a triangle with 2 equal sides and a base of a different length) has a base of 5 centimeters and the other two sides are x centimeters long. The perimeter is no more than 30 centimeters. Write and solve the inequality to find the possible values of x.
Follow this form
77x > 154 ; x > 2
5 + 2x ≤ 30
2x ≤ 25
x ≤ 12.5
Did this help? I hope it did! Pls tell me if it helped!
There are screws, nuts and bolts in a tool box. The ratio of the number of
Screws to the number of nuts to the number of boits is 2:3:7. The
difference between the number of nuts and the number of bolts is 112.
Find the number of each item
Answer:
Step-by-step explanation:
56:84:196 would be the answer
Solveby factoring :
p2 + 8p + 12 = 0
(show steps please)
Answer:
(p + 6)(p + 2)
Step-by-step explanation:
I believe you meant p^2 + 8p + 12 = 0, in which " ^ " indicates exponentiation.
Note that 12 = 2*6, and that these two factors, 2 and 6, add up to 8. Thus,
p^2 + 8p + 12 = 0 = (p + 6)(p + 2)
what is 4.9x10^-3 in standard form
Answer:
0.0049
Step-by-step explanation:
Answer: 0.0049
There u go luv, have a nice day :)
Valeria does not charge an initial fee for babysitting but charges $10 an hour. Daniel charges $8 per hour plus an initial fee of $10. How many hours does Valeria need to babysit in order to make more money than Daniel?
Answer:
it depends how many hours both of them make but here is what you can do:
Valeria needs to do 2 hours more than Daniel. This is because Daniel makes $18 and hour and Valeria makes only 10. If you do 10*2 or 10+10 you get 20 which is greater than 18. I hope this helps and good luck!
7) How far away from a 340 foot redwood tree would you need to stand, if the angle of elevation to the top of the tree is 550? Round your answer to the nearest foot.
Answer:
The required distance away from the foot of the tree is 238.0 feet.
Step-by-step explanation:
The height of the redwood tree = 340 feet, and the angle of elevation to its top = [tex]55^{o}[/tex].
let the required distance be represented by x, applying the appropriate trigonometry function, we have;
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
Tan [tex]55^{o}[/tex] = [tex]\frac{340}{x}[/tex]
⇒ x = [tex]\frac{340}{Tan 55^{o} }[/tex]
= [tex]\frac{340}{1.4282}[/tex]
= 238.062
x = 238.0 feet
The required distance away from the foot of the tree is 238.0 feet.
Solve the following equation by the quadratic formula. x 2 + x - 1 = 0
Answer
x is 1.62 or -0.62
Step-by-step explanation:
Quadratic Formula:
[tex] \boxed{ \bf{x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}}}[/tex]
Given Quadratic Equation:
x² + x - 1 = 0
a = 1 (Quadratic coefficient)
b = 1 (Linear coefficient)
c = -1 (Constant coefficient)
By substituting values in the formula, we get:
[tex] \rm \longrightarrow x = \dfrac{-1 \pm \sqrt{1^2 - 4(1)( - 1)}}{2 \times 1} \\ \\ \rm \longrightarrow x = \dfrac{ - 1 \pm \sqrt{1 + 4} }{2} \\ \\ \rm \longrightarrow x = \dfrac{ - 1 \pm \sqrt{5} }{2} [/tex]
The sum of two numbers is 100, The difference between the two numbers is 95
workout the two numbers
Answer:
Let the numbers be x and y
x+y=100
x-y=95
taking x-y=95
x=95+y
x+y=100
95 + y +y = 100
2y=100-95
y=5/2
y=2.5
x=95+y
x=95+2.5
x= 97.5
Hope it helps...............
The two numbers are 97.5 and 2.5.
What is Addition and Subtraction?Subtraction is the process of taking out certain value from a given amount of number.
The process of subtraction can also be termed as finding difference.
Addition is one of the basic mathematical operations where two or more numbers is added to get a bigger number.
The process of doing addition is also called as finding the sum.
Let x and y be the two numbers.
The sum is 100 and the difference is 95.
x + y = 100 ⇒ x = 100 - y
x - y = 95
Substituting x = 100 - y in the second equation,
100 - y - y = 95
100 - 2y = 95
2y = 100 - 95
2y = 5
y = 5/2 = 2.5
x = 100 - y = 100 - 2.5 = 97.5
Hence the numbers are 97.5 and 2.5.
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Pls, help Which of the following is true?
|−6| < 5
|−6| < |5|
|−5| < |−6|
|−5| < −6
Answer:
C
Step-by-step explanation:
Its not A because The left side 6 is not less than the right side 5, which means that the given statement is false.
Its not B because The left side 6 is not less than the right side 5, which means that the given statement is false.
Its C because The left side 5 is less than the right side 6, which means that the given statement is always true.
Its not D because The left side is 5 is not less than the right side 6, which means that the given statement is false.
Find angles in isosceles triangles...
Answer:
68
Step-by-step explanation:
Given is an isosceles triangle, therefore measures angles opposite to equal sides would be equal.
Hence,
56° + 56° + x° = 180°
112° + x° = 180°
x° = 180° - 112°
x° = 68°
x = 68
Answer:
x = 68°Step-by-step explanation:
The triangle is isosceles as two sides have same length
Angles opposite to same sides have same value, therefore two of them equal to 56°
x = 180° - 2*56°x = 180° - 112°x = 68°Which integers are closest to 41
Answer:
the answer is 40
Step-by-step explanation:
because when you estimate 1 it will give you zero for example from 1234=0 56789 =1 so 1=to zero so the answer is 40
Olivia went to buy shoes at the mall. The shoes cost $55. If tax was 8%, how much did Olivia pay in all? i don't understand it
Answer:
$59.40
Step-by-step explanation:
8% is equal to 0.08
since you are adding the tax to the original cost you will multiply 55 by 1.08 to get the cost of the shoes plus the tax.
Answer:
55 times .8 =44$
Step-by-step explanation:
Which algebraic expression represents “the class was divided into six equal groups”?
6 + w
6w
StartFraction 6 Over w EndFraction
StartFraction w Over 6 EndFraction
Answer:
Option D StartFraction w Over 6 EndFraction is correct option.
Step-by-step explanation:
We need to find algebraic expression that represents “the class was divided into six equal groups”
Let complete class strength is w
Dividing into six equal groups we get w/6
The algebraic expression that represents “the class was divided into six equal groups” is w/6
So, Option D StartFraction w Over 6 EndFraction is correct option.
Answer:
d
Step-by-step explanation:
i got it right
Pls help and explain it how i do i this <3
Answer:
You input the equation they give you into the table to get an outcome. The Equation they gave you is x=y. simply, what ever X is, thats what y is. x=y. On the table it says that X is 3. If x is 3 then y is three because they are equal. if X is 7 then Y is 7. its the same throughout the whole table. To write it as an ordered pair you write (X,Y) if x is three y is three so the ordered pair would look like (3,3)
Translate the following statement: "Your grade, g, must be at least
75 to pass this class."
Answer:
"Your grade, g, must be at least 75 to pass this class'' is translated as:
g ≥︎ 75Step-by-step explanation:
Given the grade is denoted by 'g'.
In algebra '≥︎' denotes that something must be 'greater than or equal to'. In other words, it means 'at least'.
As the gade must be at least 75, it means it can be greater than 75, but it can not be less than 75.
Therefore, "Your grade, g, must be at least 75 to pass this class'' is translated as:
g ≥︎ 75Does anyone know the correct answer choice for this!? Please help! If the answer is correct ill make u as the best!!!
Answer:
option 1
Step-by-step explanation:
y = -2 ; x = -4
Therefore, y = (1/2)x
When x = 8,
[tex]y = \frac{1}{2}*8\\\\\y = 4[/tex]
AWARDING MORE POINTS question in pic
Answer:
sad
Step-by-step explanation:
If x = 3 and y = 5, work out the value of 4x-2y and 2x² + 3y²
Answer:
4 × 3 - 2 × 5 = 12 - 10 = 2
2x² + 3y² = 2 × 9 + 3 × 25 = 18 + 75 = 93
Simplify the given expression using only positive exponents. Then complete the statements that follow. [(X^2y^3)^-1/(x^-2y^2z)^2]^2
The exponent on x is___
The exponent on y is___
The exponent on a is____
Answer:
As
[tex]\:\left(\frac{\left(x^2y^3\right)^{-1}}{\left(x^{-2}y^2z\right)^2}\right)^2=x^4y^{-14}z^{-4}[/tex]
The exponent on x is 4The exponent on y is -14The exponent on z is -4Step-by-step explanation:
Given the expression
[tex]\left[\frac{\left(x^2y^3\right)^{-1}}{\left(x^{-2}y^2z\right)^2}\right]^2[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}[/tex]
[tex]\left(\frac{\left(x^2y^3\right)^{-1}}{\left(x^{-2}y^2z\right)^2}\right)^2=\frac{\left(\left(x^2y^3\right)^{-1}\right)^2}{\left(\left(x^{-2}y^2z\right)^2\right)^2}[/tex]
[tex]=\frac{\left(\left(x^2y^3\right)^{-1}\right)^2}{\left(\left(x^{-2}y^2z\right)^2\right)^2}[/tex]
as
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{-1}=\frac{1}{a}[/tex]
so the expression becomes
[tex]=\frac{\frac{1}{x^4y^6}}{\left(\left(x^{-2}y^2z\right)^2\right)^2}[/tex] ∵ [tex]\left(x^2y^3\right)^{-1}=\frac{1}{x^2y^3}[/tex]
as
[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(a\cdot \:b\right)^n=a^nb^n[/tex]
so the expression becomes
[tex]=\frac{\frac{1}{x^4y^6}}{\frac{y^8z^4}{x^8}}[/tex] ∵ [tex]\left(x^{-2}y^2z\right)^2=\frac{y^4z^2}{x^4}[/tex]
as
[tex]\mathrm{Divide\:fractions}:\quad \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}[/tex]
so the expression becomes
[tex]=\frac{1\cdot \:x^8}{x^4y^6y^8z^4}[/tex]
[tex]=\frac{x^8}{x^4y^6y^8z^4}[/tex]
as
[tex]\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}[/tex]
so the expression becomes
[tex]=\frac{x^{8-4}}{y^8y^6z^4}[/tex]
[tex]=\frac{x^4}{y^8y^6z^4}[/tex]
[tex]=\frac{x^4}{y^{14}z^4}[/tex]
as
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{-1}=\frac{1}{a}[/tex]
so the expression becomes
[tex]=x^4y^{-14}z^{-4}[/tex]
Therefore,
The exponent on x is 4The exponent on y is -14The exponent on z is -4Isolate x in1/2x + 1/5y = 9
PLEASE HELP ME
MATH IS HARD
Answer:
C
Step-by-step explanation:
You have to add the whole equation not only a part of it.
Answer:
the answer is A
Given: ! || m and p || 9,
M
Am
43
2.
12/11
9/10
P8/7
5/6
16/15
13/14
Note:
Figure not
drawn to
scale.
Given m27 = (x2 – 10x + 50° and m/13 = (10x – 50°, what is the
value of x?
0-10
O 9.487
O 10
13.416
Previous
Answer:
147 cm³
71 cm³
54 cm³
1403π cm³
523π cm³
683π cm³
PLEASE HELP ME 16 POINTS PLEASE HELP
Answer:
the y-intercept is 0
Step-by-step explanation:
it goes straight through the origin
Natalia and Daphne are on the math team. In the last competition, Natalia answered 5 questions more than Daphne, and together the girls answered 17 questions. How many questions did each girl answer in the competition?
Answer: Natalia answered 11 questions while Daphne answered 6
Step-by-step explanation:
Well... 17-5 (the total amount of questions minus the number of more questions Natalie answered) equals 12 which you will divide by 2 because there are 2 girls, will get Daphnes amount of questions answered (6) and then basically Natalia answered 11
You guys are life savers but does anyone know the answers to these questions? I’m so confused rn
Answer:
The third choice
Step-by-step explanation:
We need to find the slope and y-intercept of the line and then put it into y = mx = b form. To find the slope, pick a point on the line; I will use (-2, 5); count how many units up you need to go to get to the next point on the line, which in this case it would be 3. The count how many to the right or left you would need to go, which is 1 to the left. Moving left means a negative, so it is -1. Your slope fraction would be [tex]\frac{3}{-1}[/tex] , since slope is rise over run. You can sub this fraction in for m in y = mx + b, which will give you a revised equation of y = -3x = b. To find the y intercept, or b, just find the point where the line crosses the y-axis, which is -1. So, the equation is now y = -3x - 1.The correct answer is third choice.