The hypotenuse of a right angled triangle is 24cm. The other two sides are such that one is 5cm longer than the other. Find the length of other two sides.
Answers
576= 2x^2 + 10x + 25
2x^2 + 10x -551 = 0
Solve for x using quadratic equations (look at picture for formula)
X=14.29 or x =-19.29 (disregard the negative answer because lengths can’t be in negative )
The last side is x+5= 14.25+5 = 19.25
Hope this helps..it’s been a while since I dealt with quadratic equations.
Related Questions
Translate the sentence into an inequality.
Twice x is less than or equal to - 18.
Answers
Answer:
[tex]2x\leq -18[/tex]
Step-by-step explanation:
[tex]2x \leq -18[/tex]
the first side is
twice x
2 times x
the symbol means less than or equal to
and finally we have the -18
Answer:
2x<_-18
Step-by-step explanation:
Twice means 2x and less than means <_ and -18
There are 28 students in the class and 1316 blocks. If the blocks are divided equally among the students, how many does each student get? *
Answers
Answer:
girl
Step-by-step explanation:
Uh just do 1316/28 and you get 47. 47 blocks per student
A triangle has side lengths of (9.8f-8.4)(9.8f−8.4) centimeters, (2.2f+4.9)(2.2f+4.9) centimeters, and (9.8g+9.2)(9.8g+9.2) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
Answers
Answer:
12f + 9.8g + 5.7 centimeters
Step-by-step explanation:
Side A = (9.8f-8.4) centimeters
Side B = (2.2f+4.9) centimeters
Side C = (9.8g+9.2) centimeters.
Perimeter of a triangle = Side A + Side B + Side C
= (9.8f-8.4) + (2.2f+4.9) + (9.8g+9.2)
= 9.8f - 8.4 + 2.2f + 4.9 + 9.8g + 9.2
Collect like terms
= 9.8f + 2.2f + 9.8g - 8.4 + 4.9 + 9.2
= 12f + 9.8g + 5.7 centimeters
Therefore, the expression which represents the perimeter of the triangle 12f + 9.8g + 5.7 centimeters
Which is a simplified form of the expression -4(3r – 2) – 2(r + 1)?
Answers
Answer:
simple
Step-by-step explanation:
-12r+8-2r+2
-14r-10
plzzzzzzzzzzzzzzzzzzz help soon asap
Answers
Answer:
[tex]m=\frac{5}{4}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-10, -4)
Point (10, -29)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute [SF]: [tex]m=\frac{-29+4}{10+10}[/tex]Add: [tex]m=\frac{-25}{20}[/tex]Simplify: [tex]m=\frac{5}{4}[/tex]Answer: -1.25
Step-by-step explanation:
You can use a graph to help. Plot the points first, then draw a line through them. Then, count the points that rise, over the amount of points that run.
You can also do it the computational way without a graph.
Use this equation:
m = (y2 - y1) / (x2 -x1)
32:51
On a coordinate plane, trapezoids A B D C and M N P Q are shown. The length of A B is 4 units and the length of B D is 2 units. The length of M N is 10 units and the length of N P is 6 units.
Is trapezoid ABDC the result of a dilation of trapezoid MNPQ by a scale factor of Two-fifths? Why or why not?
Yes, because AB and CD are each Two-fifths the lengths MN and QP.
Yes, because sides AB and CD are parallel to sides MN and QP.
No, because AB is Two-fifths the length MN but CD is One-third the length QP.
No, because sides AB and CD have different slopes from sides MN and QP.
Answers
9514 1404 393
Answer:
C. No, because AB is Two-fifths the length MN but CD is One-third the length QP.
Step-by-step explanation:
Dilation multiplies each coordinate or length by the scale factor. Here, different corresponding lengths are multiplied by different values, so no dilation is involved.
__
Additional comment
Dilation shouldn't change any slopes, so if slopes of corresponding segments are different, that is another indication dilation is not involved. (No figure is supplied here, so we cannot judge slopes.)
Answer:
c
Step-by-step explanation:
please help! will mark brainliest!
Answers
Answer:
-12x²
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Function NotationCombining Like TermsFactoringExpanding by FOIL (First Outside Inside Last)Calculus
Evaluating LimitsDefinition of a Derivative: [tex]f'(x)= \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex]Step-by-step explanation:
Step 1: Define
[tex]f(x) = 1 - 4x^3[/tex]
Step 2: Differentiate
Substitute [DOD]: [tex]f'(x)= \lim_{h \to 0} \frac{[1-4(x+h)^3]-(1-4x^3)}{h}[/tex]Expand: [tex]f'(x)= \lim_{h \to 0} \frac{[1-4(x^3+3hx^2+3h^2x+h^3)]-(1-4x^3)}{h}[/tex]Distribute: [tex]f'(x)= \lim_{h \to 0} \frac{1-4x^3-12hx^2-12h^2x-4h^3-1+4x^3}{h}[/tex]Combine like terms: [tex]f'(x)= \lim_{h \to 0} \frac{-12h^2x-4h^3-12hx^2}{h}[/tex]Factor: [tex]f'(x)= \lim_{h \to 0} \frac{h(-12hx-4h^2-12x^2)}{h}[/tex]Divide: [tex]f'(x)= \lim_{h \to 0} -12hx-4h^2-12x^2[/tex]Evaluate: [tex]f'(x)= \-12x^2[/tex]What is the slope of the line
Answers
-8/5
Rise over run aka how many it goes up/down over how many it goes across
Let |a| = 12 at an angle of 25° and |b| = 7 at an angle of 105°. What is the magnitude of a + b? Round to the nearest decimal.
12.8
14.9
15.4
17.3
Answers
Answer:
It is 15.4 on edge. C
Step-by-step explanation:
Your question: "Let |a| = 12 at an angle of 25° and |b| = 7 at an angle of 105°. What is the magnitude of a + b? Round to the nearest decimal."
Calculate the magnitude
The answer is 15.4
2. In the product of (4a3 + 5a2 – 11a) and (-15 + 3a – 7a2), the co-efficient of a4 is …………………… .
Answers
Answer:
- 23
Step-by-step explanation:
We could do this the long way and expand the whole product or note that the [tex]a^{4}[/tex] terms arise from the product of the a³ and a terms and the product of the a² and a² terms, that is
4a³ × 3a = 12[tex]a^{4}[/tex]
+ 5a² × - 7a² = - 35[tex]a^{4}[/tex]
Summing gives
12[tex]a^{4}[/tex] - 35[tex]a^{4}[/tex] = - 23[tex]a^{4}[/tex]
with coefficient - 23
The only pairs that will give you some multiple of [tex]a^4[/tex] are:
[tex]4a^3\cdot (3a),\quad 5a^2\cdot(-7a^2)[/tex]
their values are respectively
[tex]12a^4,\quad -35a^4[/tex]
and their sum is [tex]-23a^4[/tex]
Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answers
Answer:
x=3
Step-by-step explanation:
The definition of the side splitter theorem is if a line intersects two sides of a triangle and is parallel to the third side of the triangle, it divides those two sides proportionally.
What that means in this problem is that
x/18=9/54
Now, we just have to simplify that by cross multiplying
54x= 162
x=3
helpppppppppppppppppp
Answers
Answer:
hmmmmmmmmmm i think its inverse operation
if john run 2.5 miles everyday, how many miles will he run in a month of 30?
Answers
Answer:
2,250 miles per day.
Step-by-step explanation:
John runs 2.5 miles per day. In a period of 30 months, you can averagely take 30 days in each month.
So, 30 x 30 = 900 days in 30 months.
To find the number of miles ran in 900 days,
900 x 2.5 = 2,250 miles per day.
Hope this helps.
Chandler rides his bike to school every day. He travels 2,560 feet in 640 seconds. How many feet per second did he travel?
Answers
Answer:
4
Divide the number of feet (2560) by how many seconds it took him (640) and the answer is how many feet per second
2560÷640=4
He traveled 4 feet per second
Choose the graph below that represents the following system of inequalities: (1 point)
y ≥ −3x + 1
y ≤ 1 over 2 x + 3
Graph of two lines that intersect at one point. Both lines are solid. One line passes through points negative 2, 2 and 0, 3 and is shaded above the line. The other line passes through points 0, 1 and 1, negative 2 and is shaded above the line.
Graph of two lines that intersect at one point. Both lines are solid. One line passes through points negative 2, 2 and 0, 3 and is shaded below the line. The other line passes through points 0, 1 and 1, negative 2 and is shaded above the line.
Graph of two lines that intersect at one point. Both lines are solid. One line passes through points negative 2, 2 and 0, 3 and is shaded below the line. The other line passes through points 0, 1 and 1, negative 2 and is shaded below the line.
Graph of two lines that intersect at one point. Both lines are solid. One line passes through points negative 2, 2 and 0, 3 and is shaded above the line. The other line passes through points 0, 1 and 1, negative 2 and is shaded below the line.
Answers
Answer:
How much
Step-by-step explanation:
In 2007, approximately 3,380,000 people visited the Statue of Liberty. Express this
number in scientific notation.
Answers
Step-by-step explanation:
3.38 × [tex]10^{6}[/tex] is the scientific notation of 3,380,000
Answer:
3.38 x [tex]10^{2}[/tex]
Step-by-step explanation:
PLEASE HELP ASAP!!!
Find the values of the variables and round to the nearest hundredth if necessary.
Answers
Answer:
x = 1.73
y = 2.45
z = 1.41
Step-by-step explanation:
1/z = z/2
z^2 = 2
z = sqrt(2)
1^2 + z^2 = x^2
1 + 2 = x^2
x^2 = 3
x = sqrt(3)
z^2 + 2^2 = y^2
2 + 4 = y^2
y^2 = 6
y = sqrt(6)
x = 1.73
y = 2.45
z = 1.41
Part of the student's solution for finding the quotient 288 ÷ 24 is shown below. 240 ÷ 24 = 10 288 – 240 = 48 48 ÷ 24 = 2 Which step should the student do next? A. 10 + 2 B. 240 ÷ 3 C. 10 + 48 + 2 D. 10 – 2
Answers
Answer:
A. 10 + 2
Step-by-step explanation:
288 ÷ 24 is shown below. 240 ÷ 24 = 10 288 – 240 = 48 48 ÷ 24 = 2
After obtaining the quotient of 288 ÷ 24 = 10,
Multiplying the divisor 24 by 10 = 240 and subtracting 240 from 288 to obtain the remainder = 48, the divisor is again used in 48 and the quotient obtained is added to the intula quotient value of 10 ; (10 + 2) and the process repeated
Total area of village in sq. km is 8.5. If total area for rice cultivation in sq. km is 3.5 and land for plastic factory in sq. m is 750.. Find the percentage of both the cultivated area and factory area..
Answers
Answer:
41.4% for rice cultivation and 8.82 for plastic factory
Step-by-step explanation:
convert sq.km into sq.m
then divide area of land by total area then multiply by 100.
ind f(x+h) when f(x) = 3x- 4x^2
Answers
Answer:
f(x + h) = -4x² - 4h² - 8hx + 3x + 3h
General Formulas and Concepts:
Algebra I
Function NotationExpand by FOIL (First Outside Inside Last)Combining Like TermsStep-by-step explanation:
Step 1: Define
f(x) = 3x - 4x²
f(x + h) is x = x + h
Step 2: Evaluate
Substitute: f(x + h) = 3(x + h) - 4(x + h)²Expand [FOIL]: f(x + h) = 3(x + h) - 4(x² + 2hx + h²)Distribute: f(x + h) = 3x + 3h - 4x² - 8hx - 4h²Rewrite: f(x + h) = -4x² - 4h² - 8hx + 3x + 3hUse the recursive formula f(n) = 0.4 ⋅ f(n − 1) + 11 to determine the 2nd term if f(1) = 4.
Answers
Answer:
12.6Step-by-step explanation:
Given the recursive formula
f(n) = 0.4 × f(n − 1) + 11 and first term is f(1) = 4Finding the 2nd term:
f(2) = 0.4×f(1) + 11f(2) = 0.4×4 + 11 = 1.6 + 11 = 12.6Answer:
12.6
Step-by-step explanation:
Given the recursive formula
f(n) = 0.4 × f(n − 1) + 11
and first term is f(1) = 4
Finding the 2nd term:
f(2) = 0.4×f(1) + 11
f(2) = 0.4×4 + 11 = 1.6 + 11 = 12.6
Jane is studying the weather in Alaska. She has recorded the temperature for four days in January, in degrees Fahrenheit, as shown in the table. Jane claims that as the week progressed the temperatures increased from below zero to above zero. Which of the following statements provide support for Jane's claim? Select all that apply.
Answers
Answer: Monday had the lowest temp below zero, on Monday and Tuesday the temp was below zero.
Step-by-step explanation: I did it
PLEASE HELP ILL GIVE BRAINLIEST!!
Answers
Answer:
y=-3x-1
Step-by-step explanation:
if you put it in pint slope form first and then simplify it is the easiest way.
y-2=-3(x+1)
y-2=-3x-3
+2. +2
y=-3x-1
help help guys show your solution and also answer the question
Answers
All answers are in the picture below!
plssss helppppp urgenttttt
what is the solution to the system of equations shown
Answers
Answer:
No solution
Reason:
A solution would be the point at which the lines cross.
These lines have the same negative slope and are parallel to one another. This means they will never cross. This means there is no solution.
18. (ACED 2) A drver starts a journey with 25 gallons in the tank of his car. The car burns 5 gallons for every 100
miles Assume the amount of gasoline in the tank decreases linearly. Igal 20 miles
a White an equation to represent the number of gallons left in the tank at any given distance (in miles).
b. Identify the variables used.
c. How many miles will the car have traveled when it runs out of gas?
Answers
Answer:
1 gallon = 30 milles
×5
=5 gallon = 150 milles
×10
=10 gallon =300 milles
Step-by-step explanation:
1 gallon = 30 milles
×5
=5 gallon = 150 milles
×10
=10 gallon =300 milles
Hi, i need help please.
Answers
Answer:
k
Step-by-step explanation:
rearrange the like terms. final answer is the second one im pretty sure
Victoria buys 5 scarves for a total of 36.25. If each scarf costs the same amount of money, how much did one scarf cost?
Answers
Answer:
7.25
Step-by-step explanation:
36.25/5=7.25 simple
Step-by-step explanation:
cost of 5 scarf = 36.25
cost of one scarf = 36.25/5
= 725/100
= 7.25 $
so one scarf cost = 7.25$
plz mark my answer as brainlist plzzzz vote me also and hope this helps you ...
In ∆TMZ, the measure of angle M is 6° more than twice the measure of angle T, and the measure of angle Z is 50° less than five times the measure of angle T.
Answers
Answer:
m<T = [tex]28^{o}[/tex], m<M = [tex]62^{o}[/tex] and m<Z = [tex]90^{o}[/tex]
Step-by-step explanation:
From the given ∆TMZ, let the measure angle T be represented by T.
So that,
m<M = 2T + 6°
m<Z = 5T - 50°
Sum of angles in a triangle = [tex]180^{o}[/tex]
T + (2T + 6°) + (5T - 50°) = [tex]180^{o}[/tex]
8T -[tex]44^{o}[/tex] = [tex]180^{o}[/tex]
8T = [tex]180^{o}[/tex] + [tex]44^{o}[/tex]
= [tex]224^{o}[/tex]
T = [tex]\frac{224^{o} }{8}[/tex]
= [tex]28^{o}[/tex]
Therefore,
i. m<T = [tex]28^{o}[/tex]
ii. m<M = 2T + 6°
= 2 x [tex]28^{o}[/tex] + 6°
= [tex]62^{o}[/tex]
m<M = [tex]62^{o}[/tex]
iii. m<Z = 5T - 50°
= 5 x [tex]28^{o}[/tex] - 50°
= [tex]140^{o}[/tex] - 50°
= [tex]90^{o}[/tex]
m<Z = [tex]90^{o}[/tex]
How many cubic inches are needed to fill this
rectangular prism?
10 in.
9 in.
5 in.