Answer:
x = [tex]\sqrt{53}[/tex]
Step-by-step explanation:
Using Pythagoras' identity on the upper right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
Let the third side be d, then
d² + b² = a² , that is
d² + 8² = 11²
d² + 64 = 121 ( subtract 64 from both sides )
d² = 57
Using Pythagoras' identity on the lower right triangle, then
x² + c² = d²
x² + 2² = 57
x² + 4 = 57 ( subtract 4 from both sides )
x² = 53 ( take the square root of both sides )
x = [tex]\sqrt{53}[/tex]
At Feet-R-Us colored socks are $5 and white socks are $3. Jimmy buys $32 worth of socks. An equation representing this scenario is 5c + 3w = 32. Solve this equation for c, the cost of 1 pair of colored socks
c=4 w=4
5c=20
3w=12
5c+3w=32
The length of a rectangular window is 4 more feet than its width w. The perimeter of the window is 64 feet. Write an equation that could be used to find the demensions of the window and determine the length and width of the window.
Answer:
The length of the window is 18 ft and its height is 14 ft
Step-by-step explanation:
System of Equations
Let's call:
L: Length of the window in feet
W: Width of the window in feet
According to the first condition of the problem:
[tex]L = W + 4\qquad\qquad [1][/tex]
The perimeter of the rectangle is 64 feet. The perimeter is calculated as:
P = 2L + 2W =64
Dividing by 2:
[tex]L + W = 32\qquad\qquad [2][/tex]
The system of equations [1] and [2] can be used to find the dimension of the window.
Substituting from [1]
W + 4 + W = 32
Simplifying:
2W = 32 - 4 =28
Solving:
W = 28/2 = 14
Using [1]:
L = 14 + 4 = 18
The length of the window is 18 ft and its height is 14 ft
Which equation has a constant of proportionality equal to 3
Answer:
y=3x
Step-by-step explanation:
The average cost of a home in a certain neighborhood ranges from $225,000 to $385,000. Write an absolute value inequality to model the average cost, C. of a home in this neighborhood.
Answer:
D. |C -305,000| ≤ 80,000
Step-by-step explanation:
Such an equation will say that the difference from the average of these values is at most half of their difference.
| C -(225000+385000)/2 | ≤ (385000 -225000)/2
|C -305,000| ≤ 80,000 . . . . . matches choice D
Raina corre 7 millas en 50 minutos. A esta misma tasa, ¿qué distancia en millas correría en 75 minutos?
Responder:
10.5 millas
Explicación paso a paso:
50 / 7 = 0.14
0.14 * 75 = 10.5
Espero que esto ayude :)
Given parameters:
Distance covered by Raina = 7 miles
Time taken = 50 minutes
Unknown:
Distance covered in 75 minutes = ?
To solve this problem, we have to find the speed of Raina during the first 50 minutes.
Speed is the distance covered with time.
Speed = [tex]\frac{distance}{time taken}[/tex]
Input the parameters and solve;
Speed = [tex]\frac{7 miles }{50 minutes}[/tex] = 0.14miles/min
Now, to find the distance covered in the second run;
Distance = speed x time taken
= 0.14miles/min x 75min
= 10.5miles
The distance covered in miles is 10.5miles
List all the factors of 28 from least to greatest. Enter your answer below,
using a comma to separate each factor.
Answer here
SUBMIT
Answer:
1,2,4,7,14,28
Step-by-step explanation:
because I'm smart
4b-3b+7=10 Solve for b.
Answer:
b = 3
Step-by-step explanation:
Simplify 4b - 3b + 7 = 10
b + 7 = 10
Subtract 7 from both sides
b = 10 -7
Simplify 10 -7 to 3
b = 3
Hope this helps!
-Jerc
What are the first four terms of the sequence shown below?
an = n3 + n2
Answer:
2, 12, 36, 80
Step-by-step explanation:
Substitute n = 1, 2, 3, 4 into the n th term formula, that is
a₁ = 1³ + 1² = 1 + 1 = 2
a₂ = 2³ + 2² = 8 + 4 = 12
a₃ = 3³ + 3² = 27 + 9 = 36
a₄ = 4³ + 4² = 64 + 16 = 80
Find the value of x so that the function has the given value.
k(x)=6x−1/2; k(x)=18
Answer:
x = [tex]\frac{37}{12}[/tex]
Step-by-step explanation:
Given k(x) = 6x - [tex]\frac{1}{2}[/tex] and k(x) = 18, the equate the right sides, that is
6x - [tex]\frac{1}{2}[/tex] = 18 ( multiply through by 2 to clear the fraction )
12x - 1 = 36 ( add 1 to both sides )
12x = 37 ( divide both sides by 12 )
x = [tex]\frac{37}{12}[/tex]
What would you need to do to get a denominator of one in the following example?
Answer:
yoou have to find common numbers
Step-by-step explanation:
3. What is the goal of education—especially when it comes to history and human rights? Cite evidence from this text, your own experience, and other literature, art, or history in your answer.
Answer:
The goal for human rights is to education aims to do the following: Enhance the knowledge and understanding of human rights. Foster attitudes of tolerance, respect, solidarity, and responsibility. Develop awareness of how human rights can be translated into social and political reality.
(Evidence) -------›
"The following year, he immigrated to the United States and settled in Kansas City, Mo., where he married, had four children and became a successful importer of ladies' handbags. It would be 16 years before he began speaking publicly about the Holocaust, something he says he decided to do after talking to one of his neighbors."
( I REALLY NEED HELP I WILL GIVE BRILLIANT) If you divide 78 by 34, will the quotient be greater than or less than 34?
PLEASE MY CLASS ENDS IN 7 MINUTES!!! I DONT WANT TO FAIL!!
Answer:
I think B
Step-by-step explanation:
13.77 times the number of people gives you your answer, so probably C=13.77p
PLEASE HELPPPPPP!!!!!!! [easy]
Answer: d
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
whats the best lil peep song lol
Answer:
Nutz in my opinion
Step-by-step explanation:
Answer:
girls
Step-by-step explanation:
A farmer has 160 bushels of apple to sell at his roadside stand. He sells an average of
14 3/5 bushels each day. Represent the total change in the number of bushels has for sale after 6 days.
Answer:
He sold 87-3/5 bushels in 6 days , he has 72-2/5 bushels left
Step-by-step explanation:
14-3/5 x 6 = Bushels sold in 6 days
please help i really need this ill give brainliest if its correct
Answer: I'm pretty sure it's D.
if f(x) =- 3x - 9, find f(5)
The value of f(5) will be "-24".
Polynomial functionsA function would be an equation that typically contains only non-negative integers (-) powers or even just positive integer (+) multipliers of variables, such as the quadratic function, cubed equation, and so forth, is considered as Polynomial functions.
According to the question,
The given function is:
f(x) = -3x - 9
By substituting "5" in place of "x", we get
→ f(5) = -3(5) - 9
By solving the bracket, we get
= -15 - 9
= -24
Thus the above response is correct.
Find out more information about function here:
https://brainly.com/question/24380382
Answer:
F(5)=6
Step-by-step explanation:
Just did the question on my test
Suppose that tuition at a state college was $3500 per year in 1995 and has been increasing at a rate of $225 per year. Write a prediction equation in slope-intercept form that expresses this information. (Do not space between the numbers and the symbols
Answer:
3500+225x
Step-by-step explanation:
x = years after 1995. 1996 would be x = 1
what is 100+100+56+88+90=
then divide all of the numbers
Answer:
86.8
Step-by-step explanation:
100+100+56+88+90
divide the answer by 5
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation: (
100+100=200
200+56=256
256+88=342
342+90=432
432/5= 86.4
13 - 7(-2 - 8)
Please solve! :) Will be marking brainliest!!
Answer: 83
Step-by-step explanation: -7x-2=14 -7x-8=56, 56 + 14 + 13 = 83.
Hope this helps! :)
Please Mark Brainliest!!!
An ion has a charge of +7. How far is it from being neutral?
a. -0.07
b. -7
c. 7
d. 70
e. 0.7
Answer:
The answer is B. -7
Step-by-step explanation:
the -7 cancels out the +7 which makes it neutral
ASAP PLEASE ILL GIVE BRAINIEST
Answer:
third choice
Step-by-step explanation:
Congruent means being exactly the same. When two line segments have the same length, they are congruent. When two figures have the same shape and size, they are congruent. ... Similar means that the figures have the same shape, but not the same size.
Which statement best describes the intersection of three planes? The planes could form one or two lines. The planes could form one, two, or three lines. The planes will form two lines. The planes could form one, two, or three lines, or they could intersect at exactly one point.
Answer:
fhe planes coukd form ons or two limez
PLEASE HELP ME I DON'T UNDERSTAND SOMEONE PLEASE!!! Danielle can spend no more than $75 on clothes. She wants a pair of shoes for $40 and spends the rest on $12 scarves. Indetify the rate of change.
Answer:
She will have $23 left.
Step-by-step explanation:
Which quantity is proportional to 21/28?
Check all that are true.
15/20
314
213
7/14
18/24
Please help me asap
Micah found the vertex for the function y= -9.5x? 47.5x+ 63 as shown. Find and correct Micah's error. Explain the error?
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete as Micah's workings is not attached. So, there's no way to determine where Micah's error is.
However, I'll solve for the vertex of the given function.
Given
[tex]y = -9.5x^2 + 47.5x + 63[/tex]
Vertex, V is of the form:
[tex]V= (h,k)[/tex]
Where
[tex]h = -\frac{b}{2a}[/tex]
and
[tex]k = f(h)[/tex]
Solving for h:
[tex]y = -9.5x^2 + 47.5x + 63[/tex]
[tex]y = ax^2 + bx + c[/tex]
So:
[tex]a = -9.5[/tex]
[tex]b = 47.5[/tex]
[tex]c = 63[/tex]
[tex]h = -\frac{b}{2a}[/tex]
[tex]h = -\frac{47.5}{2 * -9.5}[/tex]
[tex]h = -\frac{47.5}{-19}[/tex]
[tex]h = \frac{47.5}{19}[/tex]
[tex]h = 2.5[/tex]
Solving for k
[tex]k = f(h)[/tex]
[tex]k = f(2.5)[/tex]
Substitute 2.5 for x in [tex]y = -9.5x^2 + 47.5x + 63[/tex]
[tex]k = -9.5 * 2.5^2 + 47.5* 2.5 + 63[/tex]
[tex]k = -59.375+ 118.75 + 63[/tex]
[tex]k = 122.375[/tex]
Hence:
The vertex is
[tex]V = (2.5,122.375)[/tex]
Answer:
if ur doing savvas
Step-by-step explanation:
answer for the first one is:
Micah used the wrong sign for b in the formula x=-b/2a
answer for the second one is:
vertex is = (-2.5, 122.375)
BRIANLY PLS HELP ME OUT ASP !
Answer:
42
Step-by-step explanation:
3 is equal to 42 degrees because when you have two parallel lines that have another line pass through both parallel lines the values of degrees are the same as the opposite side so:
42 = 3
2 = 4
and another way you could find the value of 3 is since there is a perpendicular line going through line p we know that since it is perpendicular that the angle between them is 90 so angle 3 is:
90 - (angle 4) = angle 3
You may use this method if you first solved for angle 4 or angle 2 and we can get angle 2 from:
180 - 42 = 138
we can do this because 42 + angle two should be 180 degrees since they are along line n.
. Зх – 3y= 9 for D = {0 SXS 8}
у
о
3
8
PlZzz helppppppppp
Step-by-step explanation:
just do 3*- 3y and then the answer you get you do 3*8
1. twice the square of the sum of a number and 3 is 98.find the number
Answer:
Step-by-step explanation:
Let the number be x.
twice the square of the sum of a number and 3 is expressed as;
2(x+3)²
If the expression is equal to 98, then;
2(x+3)² = 98
divide both sides by 2;
2(x+3)²/2 = 98/2
(x+3)² = 49
square root both sides
√(x+3)² = √49
x+3 = ±7
x = ±7-3
x = 7-3 or -7-3
x = 4 or -10
Hence the number is 4 or -10
The number is -4 or 10
Let n represent the unknown number
The following equation can be used to summarise the information given in the question
2 × n² = 98
The first step to take in order to determine the value of n is to divide both sides of the equation by 2
n² = 98/2
n² = 49
The second step is to determine the square root of both sides of the equation
n =√49
n =-7 or +7
The number = - 7 + 3 = - 4 or 7 + 3 = 10
A similar question was solved here: https://brainly.com/question/18118670?referrer=searchResults