Answer:
The side lengths are 32 units each
Step-by-step explanation:
Given
[tex]NM= 4x[/tex]
[tex]KM = 6x - 16[/tex]
Required
The side lengths and missing angles
Since JKMN is as square, then:
[tex]NM = KM[/tex] -- all sides are equal
[tex]4x = 6x - 16[/tex]
Collect like terms
[tex]4x - 6x = - 16[/tex]
[tex]-2 x = - 16[/tex]
Divide by -2
[tex]x = 8[/tex]
Substitute [tex]x = 8[/tex] in [tex]NM= 4x[/tex]
[tex]NM = 4 * 8[/tex]
[tex]NM = 32[/tex]
The missing angles can't be solved without an attachment.
However, if the missing angles are the angles at the edges of the square, then they measure 90 degrees each (i.e. angles at right angle)
Y is inversely proportional to the square of x. If Y = 9 when x = 2, then what is y, when x is 10?
Answer:
y = 0.36
Step-by-step explanation:
Given y is inversely proportional to x² then the equation relating them is
y = [tex]\frac{k}{x^2}[/tex] ← k is the constant of variation
To find k use the condition y = 9 when x = 2 , then
9 = [tex]\frac{k}{2^2}[/tex] = [tex]\frac{k}{4}[/tex] ( multiply both sides by 4 )
36 = k
y = [tex]\frac{36}{x^2}[/tex] ← equation of variation
When x = 10 , then
y = [tex]\frac{36}{10^2}[/tex] = [tex]\frac{36}{100}[/tex] = 0.36
The school band has a goal of raising $800 for some new uniforms. If they have raised $512 so far, what percent of their goal have they raised?
Answer:
64%
Step-by-step explanation:
what is the dilation/scale factor?
Scale factor = (image)/(preimage)
[tex]AC=8\\\\A'C'=12[/tex]
So, the scale factor is [tex]\frac{12}{8}=\boxed{1.5}[/tex]
The table below shows elevation of different locations in the world. List the elevations in order from greatest to least.
Answer:
C 230, 92, 75, -52, -92
Step-by-step explanation:
from greatest to least.
please tell your teacher it would correctly be called "from highest to lowest".
but he/she was only focusing on numbers. understandably. so, from the greatest value to the least value.
positive numbers get smaller in their absolute values, when we go to the smaller side, but negative numbers get "bigger" in their absolute values, when we go to the smaller side.
-2 is smaller or lower than -1
and so on.
that is the reason for the correct answer.
Which of the following uses the reciprocal property to rewrite x/12 = 32/18 ?
Answer: A
Step-by-step explanation:
x/32 = 18/13
Which ordered pair (x,y) is the solution to the given system of linear equation?
Answer:
(x, y) = (-1, 4)
Step-by-step explanation:
3x + 3y = -3 (1)
-2x + y = 2 (2)
From (2)
y = 2 + 2x
Substitute y = 2 + 2x into (1)
3x + 3y = -3 (1)
3x + 3(2 + 2x) = -3
3x + 6 + 6x = -3
9x + 6 = -3
9x = -3 - 6
9x = -9
x = -9/9
x = -1
Substitute x = -1 into (2)
-2x + y = 2 (2)
-2(-1) + y = 2
-2 + y = 2
y = 2 + 2
y = 4
(x, y) = (-1, 4)
Answer:
(-1,0)
Step-by-step explanation:
This Measure of Center gives you the average number.
Mean
Median
Mode
Pls help! (don't give wrong answer pls)
Decide whether the sequence is Arithmetic, Geometric or Neither.
4, 9, 16, 25, ...
Check arithmetic
t4-t3 t3-t2
25-16 16-9
=9 =7
sequence is not arithmetic bcoz t4-t3 is unequal to t4-t3
check geometric
t4÷t3 t3÷t2
25÷16 16÷9
=1.6 1.7
sequence is not geometric bcoz t4÷t3 is unequal to t3÷t2
neither
The cost of 6 pounds
of coffee is $3.
Answer:
ok 2 pound per 1 doller and 1 pund per0.50 cent
Step-by-step explanation:
What is the value of y?
Answer:
y =24
Step-by-step explanation:
The exterior angle is the sum of the opposite interior angles
y+18 + 3y -41 = y+49
Combine like terms
4y -23 = y+49
Subtract y from each side
4y -y -23 = y+49-y
3y -23 = 49
Add 23 to each side
3y -23+23 = 49 +23
3y = 72
Divide by 3
3y/3 = 72/3
y =24
f(x) = 3x2 – x + 5; g(x) = 2x – 3. find f(x)-g(x)
Answer:
f(x) - g(x) = 3x² - 3x + 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
f(x) = 3x² - x + 5
g(x) = 2x - 3
Step 2: Find f(x) - g(x)
Substitute in function values: f(x) - g(x) = 3x² - x + 5 - (2x - 3)[Distributive Property] Distribute negative: f(x) - g(x) = 3x² - x + 5 - 2x + 3[Subtraction] Combine like terms (x): f(x) - g(x) = 3x² - 3x + 5 + 3[Addition] Combine like terms: f(x) - g(x) = 3x² - 3x + 8Decide which one of the following statements is
false.
a. Through any two distinct points there exists
exactly one line.
b. A line contains at least two points.
Three noncollinear points determine a plane.
d. Any three points lie on a distinct line.
d
Step-by-step explanation:
any three point line on a distinct line
i think....
Robert ride his bike from home to school and back 3 days a week. He travels a total of 7.14 km in those three days what is the total distance travels he ride his bike 5 days a week
Answer:
11.9 km
Step-by-step explanation:
Distance travelled in 1 day = 7.14 / 3 = 2.38
distance he travels in 5 days = Distance travelled in 1 day x 5 = 11.9 km
Which equation in point-slope form contains the point (4, –1) and has slope 3?
y + 1 = 3(x – 4)
y – 4 = 3(x + 1)
y – 1 = 3(x + 4)
y + 4 = 3(x – 1)
Answer:
y+1=3(x-4)
Step-by-step explanation:
Hi there!
We are given a slope of 3 and a point (4,-1).
We need to find the equation of the line in point-slope form
Point-slope form is given as y-y1=m(x-x1), where m is the slope, and (x1,y1) is a point
We have all of the needed information to substitute into the formula
First, let's label the values of everything to avoid any confusion
m=3
x1=4
y1=-1
now substitute into the formula *remember, the formula has SUBTRACTION, and we have a NEGATIVE number, so we'll end up subtracting a negative*
y--1=3(x-4)
simplify
y+1=3(x-4)
That's it!
Hope this helps :)
A wildlife refuge has 200 birds when it is first established. It is so
successful that the number of birds increases by 25% every year.
Write a function to model the situation.
Find the number of birds present after 7 years.
Answer:
[tex](a)\ f(x) =200(1.25)^x[/tex]
(b) 954 birds after 7 years
Step-by-step explanation:
Given
[tex]a = 200[/tex] --- initial
[tex]r =25\%[/tex] --- rate
Solving (a): The function.
This is represented as:
[tex]f(x) =a(1+r)^x[/tex]
So, we have:
[tex]f(x) =200(1+25\%)^x[/tex]
Express percentage as decimal
[tex]f(x) =200(1+0.25)^x[/tex]
[tex]f(x) =200(1.25)^x[/tex]
Solving (b): Birds after 7 years
This implies that we calculate f(7)
[tex]f(7) =200(1.25)^7[/tex]
[tex]f(7) =953.67[/tex]
[tex]f(7) =954[/tex] --- approximated
The point (-5,3) lies on the graph of f(x). Which of the following points lies on
f-1(x)?
Answer:
(3, -5).
Step-by-step explanation:
By the definition of inverses:
[tex]\text{If $f(a) = b$, then $f^{-1}(b)=a$}[/tex]
In other words, the inverse of a function returns the input when given the output of the original function.
We know that the point (-5, 3) lies on the graph of f(x). In other words:
[tex]f(-5)=3[/tex]
Then by definition:
[tex]f^{-1}(3)=-5[/tex]
So, the point (3, -5) must lie on the graph of f⁻¹(x).
What is the approximate value of sin C?
I will give u brainliest and 5 star and thanks if its correct
Answer:
1. the side length of the square is 3 when its perimeter is 12.
2. (20/21, 5/21)
Step-by-step explanation:
2. 20/21 ÷ 4 = 20/21 × 1/4 = 5/21(the side length of the square with the given perimeter of 20/21)
=> (20/21, 5/21)
Helppppppp please ASAP
Answer:
YW = 10 units
Step-by-step explanation:
∠Y ≅ ∠X ⇒ WX ≅ WY ⇒ YW = 10 units
What additional piece of information is needed to prove the triangles congruent by ASA?
S
T
J
B
D
P
A. ZT ZD
B. ZJ - ZS
C
JT – SD
D. TB-DP
Answer:
option B
Step-by-step explanation:
ASA congruent triangles shall have one more angle being equal
Which of the following results from taking the square root of a negative
number?
A. Imaginary number
B. Negative number
C. Positive number
D. Irrational number
Please help me ASAP!!
Answer:
its b The angles need to add up to 90 degrees and this fits the formula
Answer:
B is the right answer
Step-by-step explanation:
Hope this helps you!!
can someone tell me how to do this?
Answer:
x = 10
Step-by-step explanation:
(5x + 20) = 70
5(10) + 20 = 70
A grocery store sells apple and oranges by the pound the cost of the apples is $1.30 the cost of the oranges is $1.84 how much more is the cost for 1 and 1 half pound of oranges than the cost for 1 and 1 half pounds of apples?
Answer:
1.5 pounds of oranges cost $0.81 more than 1.5 pounds of apples
Step-by-step explanation:
1.5 pounds of apples = 1.5 × $1.30 = $1.95
1.5 pounds oforanges = 1.5 × $1.84 = $2.76
$2.76 - $1.95 = $0.81
Standard fom: 4x20x² 24x
what is the Leading coefficient
Explain the behavior base on the
degree and leading coefficient?
Answer:
that is behavior that coefficient
What is the equation of the line?
Answer:
y = -7
Step-by-step explanation:
This is a horizontal line
The y value does not change
It is of the form y=
y = -7
Answer:
y = -7
Step-by-step explanation:
A horizontal line has an equation of the form
y = k
where k is the y-coordinate of every point on the line.
We see that every point on this line has y-coordinate -7, so the equation is
y = -7
Write and solve the equation to find the value of x and the missing angle measures.
Answer:
x = 8
The missing measures are 85 degrees
Step-by-step explanation:
Since 9x + 13 and 11x - 3 are on opposite sides, they are equal, so
9x + 13 = 11x - 3
Subtract 13 from both sides:
9x = 11x - 16
Subtract 11x from both sides:
-2x = -16
Divide both sides by -2:
x = 8
The angle measures are
9(8) + 13 = 72 + 13 = 85
11(8) - 3 = 88 - 3 = 85
Answer:
9x+13 = 11x-3
x = 8
The angles are 85
Step-by-step explanation:
The angles are vertical angles so they are equal
9x+13 = 11x-3
Subtract 9x from each side
9x+13 -9x = 11x-9x-3
13 = 2x-3
Add 3 to each side
13+3 = 2x-3+3
16 =2x
Divide by 2
16/2 = 2x/2
8 =x
11x-3 = 11(8) -3 = 88-3 = 85
Translate this sentence into an equation:
44 is the sum of 24 and Donnie's height
Help down below pleaseee. I'll rlly give brainliest whoever gives me the best answer if it allows me too since I need at least 2 ppl answering.
Answer:14 dollars, 2 pounds
Step-by-step explanation:
for they first one your just rounding wich is kinda easy you just round it up to the nearest dollar wich is 1 plus 13= 14 dollars.
for the second one it would be better to specify, but since we already did rounding on the first one this might be about the same topic, meaning it might be 2 pounds. But if not 2 and 1/4 of a pound.
Answer: the answer is in simple rounding-terms, 13.55 dollars rounded to dollars is just rounding off the cents, specifically the dimes or quarters. 55 cent can also be a half-dollar, but that is not important, 0.5 can be rounded to 1 in this case, so for question 14 you would add one to 13 dollars since 0.50 cents got rounded to 1 dollar and you get 14 dollars as your answer for the first question. for the next question American cheese i would assume is the same as the cheese referenced by Mr. Marsh, so the answer would be 2.25 pounds of cheese for number 15
Step-by-step explanation: my answer.
the answer is 14, 2.25
Two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 5 hours. Together they charged a total of $1400.
What was the rate charged per hour by each mechanic if the sum of the two rates was $165 per hour
Answer:
$115/hr The 10 hr mechanic
$50/hr The 5hr mechanic
Step-by-step explanation:
let the 10 hr mechanic charge x
then the 5 hr mechanic charges 165 - x
------------------------------
10x + 5(165 - x) = 1400
10x + 825 - 5x = 1400
5x = 575
x = 115 The 10 hr mechanic
165 - x = 50 The 5hr mechanic