Answer:
Step-by-step explanation:
The general form of a linear function is ax + b.
f(x) = ax + b
f(1) = a + b = -7
f(2) = 2a + b = -10
So using a system of equations we solve for 'a' and 'b'.
a + b = -7 | 2a + b = -10
We multiply the first one by -1.
-a - b = 7 | 2a + b = -10
And then we solve the system by elimination(by adding the equations):
a = -3
Solving for b: a + b = -7 <=> -3 +b = -7 => b = -4
So the general rule of the function is:
f(x) = -3x - 4
Find the value of X answer in simplest form
Answer:
14.14
Step-by-step explanation:
You can find the value of x using the trig ratio Sine = opposite/hypotenuse.
The sin 45 = 10/x. Solve for x.
x= 10/ sin45
x = 10/0.707
x = 14.14
{Answer the question below.}
Answer:
16÷25=0.64
0.64x2 =1.28
Step-by-step explanation:
Which of the following statements about closure is false?
Answer:
Option C is false.
Step-by-step explanation:
The correct answer is:
C. Polynomials are closed under division. When you divide polynomials, the result will always be a polynomial.
This is false because sometimes when we divide polynomials, one polynomial does not gets completely or evenly divided by the other.
In such cases, we get a remainder which is not a monomial as the variable has a negative power. This means the quotient is not a polynomial.
We can show this by example : suppose we want to divide
[tex]x^{-6}[/tex]by [tex]x^{2}[/tex]
=> [tex]\frac{x^{-6} }{x^{2} }[/tex]
=> [tex]x^{-6-2}[/tex] =>[tex]x^{-8}[/tex]
This is not a polynomial. So the closure property does not hold true for division of polynomials.
Help for the two questions shown.
(1) the answer for this question is 33 metre square
rectangle is 4*7 that is 28meter square +5 m^2
33m^2
(2) answer for this question is 19 yard square
area of square is 3*3 that is 9m^2+10m^2
19m^2
hope it helps you !!!!!!!
Given: The measure of arc EY = The measure of arc YI, m∠EXY = 80°, and m∠K = 25°.
Find: The measure of arc EI.
PLEASE HELP ME WITH A PROBLEM FROM MY GEOMETRY HOMEWORK AS SOON AS POSSIBLE THANK YOU SO MUCH!!!
Kyle.
Let [tex]x=m\widehat{EY}=m\widehat{YI}[/tex]. By the inscribed angle theorem, we have
[tex]m\angle EJI=\dfrac12m\angle EOI=\dfrac12m\widehat{EI}=\dfrac{m\widehat{EY}+m\widehat{YI}}2=x^\circ[/tex]
Then
[tex]m\angle KJE=(180-x)^\circ[/tex]
Also by the inscribed angle theorem, we have
[tex]m\angle ELY=\dfrac12m\angle EOY=\dfrac12m\widehat{EY}=\left(\dfrac x2\right)^\circ[/tex]
so that
[tex]m\angle KLX=\left(180-\dfrac x2\right)^\circ[/tex]
Angles EXY and LXJ form a vertical pair so they are congruent and both have measure [tex]80^\circ[/tex].
The sum of the interior angles to any quadrilateral is [tex]360^\circ[/tex], so for quadrilateral KLXJ we get
[tex]25^\circ+\left(180-\dfrac x2\right)^\circ+(180-x)^\circ+80^\circ=360^\circ\implies x^\circ=70^\circ[/tex]
So,
[tex]m\widehat{EI}=2x^\circ=\boxed{140^\circ}[/tex]
Answer:
Step-by-step explanation:
Let . By the inscribed angle theorem, we have
Then
Also by the inscribed angle theorem, we have
so that
Angles EXY and LXJ form a vertical pair so they are congruent and both have measure .
The sum of the interior angles to any quadrilateral is , so for quadrilateral KLXJ we get
So,
Read more on Brainly.com - https://brainly.com/question/12616099#readmore
ABCD is a square.
What is the length of line segment DC?
5 units
7 units
11 units
13 units
It can be any of these. We cannot actually say without knowing the length of any of the other sides.
Answer:
D. 13 units
Step-by-step explanation:
Geometry Question, high point value.
Answer:
m∠ACB = 8°Step-by-step explanation:
look at the picture
The answer is 29 degrees.
PLZ HELP GIVING AS MANY POINTS AS I CAN
7 and trinomial i believe !
find the distance between the points (0,8) amd (8,5)
Answer:
[tex]d=\sqrt{73}[/tex]
Step-by-step explanation:
Use the distance formula.
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Plug in the points.
8 - 0 = 8
8^2 = 64
5 - 8 = -3
-3^2 = 9
64 + 9 = 73
[tex]d=\sqrt{73}[/tex]
PLZZZ HELP ASAP!!!!!!!!!!!!!!!!It is a 75 mile trip to your grandparent's house. Which divisibility rule proves that 75 is an odd number? A) divisibility by 1 B) divisibility by 2 C) divisibility by 3 D) divisibility by 5
Divisibility by 2 would be the correct answer. Two is an even number, and the only listed at that. Odd numbers are only divisible by another odd number. Hope I helped you !
Answer:
the answer is B) divisibility by 2
Step-by-step explanation:
I got the answer on the USA test prep.
thanks for your help with brainly
Twelve students earned A's. This was 3/8 of the students in the class. What percent of the students did not earn A's?
Answer:
62.5% of the class
Step-by-step explanation:
If 12 students is 3/8 of the class, the ones who earned A's, then 5/8 did not earn A's.
Let c represent the total number of students in the class.
Then (3/8)c = 12, and c = (8/3)(12) = 32.
5/8 of these 32 students did not earn A's: (5/8)(32) = 20.
These 20 students constitute 20/32 of the class, or 0.625 of the class, or 62.5% of the class.
I need help please.
Answer:
i think this is it
Step-by-step explanation:
the answer i got is just 55
twice the difference of a number and 7 equals 2.
Hello there!
An equation to model the number is: n - 7 x 2 = 2
To find the equation, break apart the question.
twice the difference of a number and 7 equals 2. - "Twice" means we are multiplying by 2, or x 2
twice the difference of a number and 7 equals 2. "The difference of a number and 7" means we are subtracting n - 7, and this is being multiplied by 2 so we have n - 7 x 2 so far.
twice the difference of a number and 7 equals 2. "Equals two" means the equation is equal to 2, or = 2, so our equation is n - 7 x 2 = 2.
The value of the number based on the information given is 8.
Let the number be represented by x.
Since we are given the equation that twice the difference of a number and 7 equals 2, the equation to solve this will be:
2(x - 7) = 2
2x - 14 = 2
2x = 2 + 14
2x = 16
x = 16/2
x = 8
The value of the number is 8
Read related link on:
https://brainly.com/question/11495012
a textbook has a length of 6 inches, a height of y inches, and a width of x inches. if the length of the diagonal of the front cover is 8 inches and the length of the diagonal of the width is 7 inches, find the values of x and y.
Answer:
Part 1) The value of x is [tex]2\sqrt{7}\ in[/tex]
Part 2) The value of y is [tex]\sqrt{21}\ in[/tex]
Step-by-step explanation:
Part 1
Find the value of x
Applying Pythagoras Theorem
[tex]8^{2}=x^{2} +6^{2}[/tex]
[tex]x^{2}=8^{2}-6^{2}[/tex]
[tex]x^{2}=28[/tex]
[tex]x=2\sqrt{7}\ in[/tex]
Part 2
Find the value of y
Applying Pythagoras Theorem
[tex]7^{2}=x^{2} +y^{2}[/tex]
substitute the value of x
[tex]7^{2}=28 +y^{2}[/tex]
[tex]y^{2}=7^{2}-28[/tex]
[tex]y^{2}=21[/tex]
[tex]y=\sqrt{21}\ in[/tex]
A recipe requires 1/4 cup of oil for every 2/3 cup of water. How much oil (in cups) is needed per cup of water?
Answer:
[tex]\frac{3}{8}[/tex] cups of oil
Step-by-step explanation:
Given : A recipe requires 1/4 cup of oil for every 2/3 cup of water.
To Find: How much oil (in cups) is needed per cup of water?
Solution:
Oil required by [tex]\frac{2}{3}[/tex] cup of water = [tex]\frac{1}{4}[/tex]
Oil required by 1 cup of water = [tex]\frac{\frac{1}{4}}{\frac{2}{3}}[/tex]
= [tex]\frac{3}{8}[/tex]
Hence [tex]\frac{3}{8}[/tex] cups of oil is needed for per cup of water.
The oil required for one cup of water is 3/8 cup.
How do you calculate the quantity of oil?Given that a recipe requires 1/4 cup of oil for every 2/3 cup of water.
The quantities of oil and water are given in fractions. We can write as,
[tex]\dfrac {1}{4}cup \; oil = \dfrac {2}{3} cup\;water[/tex]
[tex]1 cup\;water = \dfrac {\dfrac {1}{4}cup\;oil}{\dfrac{2}{3}}[/tex]
[tex]1cup\;water = \dfrac {3}{8}cup\;oil[/tex]
Hence we can conclude that the oil required for one cup of water is 3/8 cup.
To know more about fractions, folow the link given below.
https://brainly.com/question/1295669.
The sides of ∠A are tangent to circle k(O) with radius r. Find: r, if OA=14 dm, m∠A=90°.
Answer:
r = √98
Step-by-step explanation:
angle A and the diameter form an isosceles right triangle, with OA as the hypotenuse and r as the other sides. You can then make and solve an equation from the Pythagorean Theorem:
r^2 + r^2 = 14^2
2r^2 = 14^2
2r^2 = 196
r^2 = 98
r = √98
Answer:
Step-by-step explanation:
Alright, lets get started.
Please refer the diagram I have attached.
The angle A is 90 degree.
The side OA is 14.
There will be a right triangle formed.
So, Using Pythagorean theorem,
[tex]r^2+r^2=14^2[/tex]
[tex]2r^2=196[/tex]
Dividing 2 in both sides
[tex]r^2=\frac{196}{2}=98[/tex]
[tex]r=\sqrt{98}[/tex]
[tex]r=7\sqrt{2}[/tex]
So,the answer is [tex]7\sqrt{2}[/tex] : Answer
Hope it will help :)
what is angle COD????
Given a straight line segment AB with points A, O, and B, and angle measures <COA, <COD, and <DOB, we find <COD to be 45 degrees using angle sum properties.
In the given scenario, we have a straight line segment AB, and points O, A, and B lying on it. We are required to find the measure of angle COD, denoted as <COD. According to the information provided, <COA is (3x + 94), <COD is (x + 36), and <DOB is (2x - 4).
Since A, O, and B are collinear, the sum of the angles around point O must be 180 degrees. Therefore, <COA + <COD + <DOB = 180 degrees. Substituting the given angle measures into the equation, we get:
(3x + 94) + (x + 36) + (2x - 4) = 180.
Combining like terms and solving for x:
6x + 126 = 180,
6x = 54,
x = 9.
Now that we have the value for x, we can find <COD by substituting it into the expression (x + 36):
<COD = 9 + 36 = 45 degrees.
Therefore, the measure of angle COD is 45 degrees.
Please answer right away and don’t guess
Answer:
Last Option
[tex]P (B) = 0.6[/tex]
Step-by-step explanation:
We have the Venn diagram that shows the probabilities of occurrence of 3 events A, B and C
In this case, since events A and B and B and C are non-disjoint events, then the probability of occurrence B is the sum of the probability that only B will occur plus the probability of occuring A and B plus the probability that B and C occur
This is:
[tex]P (B) = 0.1 +0.3 +0.2[/tex]
[tex]P (B) = 0.6[/tex].
HURRY!!!!!!
I neeeed helpif you help ill put you on my stream maybe!!!
Answer:
Q1. is 628 cm
Q2 18.84 cm
Step-by-step explanation:
Q1. 400 / 2 = 200 to get the radius
3.14 * 200 = 628
Q2. 12 / 2 = 6 to get the radius
31.4 * 6 = 18.84
What did cicero mean by delivery
cicero meant to transfer something to someone .
Answer:
Body language and vocal technique
Step-by-step explanation:
Trying to work out the perimeter of the total area & the area of the seating space and keep getting the wrong answers:
A) 187.8
B) 598
A is the correct answer I believe
Answer:
Perimeter of Total Area = 18.4(2) + 32.5(2) = 101.8 meters
Area of Seating Space = 178 squared meters
Step-by-step explanation:
Perimeter of Total Area = 18.4(2) + 32.5(2) = 101.8 m
Seating Space = 18.4*32.5 = 598
Basketball Court = 15*28 = 420
598 - 420 = 178
Area of Seating Space = 178 squared meters
Evaluate 3C1.
a)3
b)1
c)2
d)6
Answer: Option a) 3
Step-by-step explanation:
The formula for calculating combinations is as follows
[tex]nCr = \frac{n!}{r!(n-r)!}[/tex]
Where "n" is the amount of items in a set and you can choose "r" from them
3C1 reads as: The combination of 1 in 3. You have a set of 3 elements and choose 1 of them.
[tex]n = 3\\\\r = 1[/tex]
So :
[tex]3C1=\frac{3!}{1!(3-1)!}\\\\3C1=\frac{3!}{1!*2!}\\\\3C1=\frac{3*2*1}{1*2*1}\\\\3C1=3[/tex]
Find the total area of the solid figure.
90 sq. ft.
126 sq.ft
150 sq.ft
Answer:
90 sq. ft.
Step-by-step explanation:
The formula you need to use is length*width*height. If you plug the numbers given into the equation, you get 5*3*6. Multiply this for the answer.
Answer: The correct option is (B) 126 sq. feet.
Step-by-step explanation: We are given to find the total area of the solid figure.
We can see that the given solid figure is a cuboid.
The total area of a cuboid with length l units, breadth b units and height w units is given by
[tex]A=2(lb+bh+hl).[/tex]
For the given cuboid, we have
length, l = 5 feet,
breadth, b = 3 feet and
height, h = 6 feet.
Therefore, the total area of the given cuboid will be
[tex]A=2(5\times 3+3\times6+6\times 5)=2(15+18+30)=2\times63=126~\textup{sq. feet}.[/tex]
Thus, the total area of teh solid figure is 126 sq. feet.
Option (B) is CORRECT.
PLZZZ HELP!!!
what is the slope of the line
Answer:
0
Step-by-step explanation:
The slope of a line is Change in y
--------------------
change in x
y does not change
0
------
change in x
Slope = 0
Horizontal lines have 0 slope
Vertical lines have undefined slope
How do I solve this?
[tex]\text{The angle from the right is 30}^\circ \\ \\ \text{We use sinus theorem:}\\\\ \dfrac{y}{\sin(60)^{\circ}} = \dfrac{8}{\sin(30)^{\circ}} \Rightarrow \dfrac{y}{\dfrac{\sqrt{3}}{2}} = \dfrac{8}{\dfrac{1}{2}} \Rightarrow y = \dfrac{\sqrt 3}{2}\cdot 16\Rightarrow \boxed{y = 8\sqrt 3}[/tex]
Answer:
y = 8[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Using the tangent ratio in the right triangle and the exact value
tan60° = [tex]\sqrt{3}[/tex], hence
tan60° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{y}{8}[/tex]
Multiply both sides by 8
8 × tan60° = y, so
y = 8[tex]\sqrt{3}[/tex] ← exact value
what is the area of parallelogram abcd? HELP THIS IS TIMED
Answer:
13.04 square units
Step-by-step explanation:
Since this is a parallelogram, we only need to solve for the sides of 2 sides.
We can use the distance formula.
The distance from A --> D :
A(3,6) and D(2,2)
2 - 3 = -1
-1^2 = 1
2 - 6 = -4
-4^2 = 16
1 + 16 = 17
[tex]\sqrt{17}[/tex]
The distance from A --> B :
A(3,6) and B(6,5)
6 - 3 = 3
3^2 = 9
5 - 6 = -1
-1^2 = 1
9 + 1 = 10
[tex]\sqrt{10}[/tex]
Multiply.
[tex]\sqrt{10}*\sqrt{17}=13.04[/tex]
*Rounded to the nearest hundreth
3. The annual property taxes on Patrick's new home
are 1.89% of the value of the home. His home costs
$183,500. What are the property taxes on his new
home?
$7,450
$1,890
$1,835
$3,468.15
$3,725
$3.468.15
I just subtracted 1.89% from $183,500
$3,468.15.
To calculate Patrick's annual property taxes on his new home, we need to apply the property tax rate of 1.89% to the value of the home. The formula to calculate this is:
Property Taxes = Home Value imes Tax Rate
In this case, Patrick's home value is $183,500 and the tax rate is 1.89%. So, the calculation would be:
Property Taxes = $183,500 times 0.0189
When we perform this multiplication, we get:
Property Taxes = $3,468.15
Therefore, the property taxes on Patrick's new home are $3,468.15.
What is the slope of this line
Answer:
The slope is 1
Step-by-step explanation:
The slope of the line is also its gradient. A gradient is basically rise/run
In this case the rise is one and the run is also one if you look at the graph...therefore 1/1 equals 1
Just by eyeballing the graph, you could see that the slope is 1: whenever x increases by 1, y will also increase by 1. Since the slope is defined as the ratio of the increments along the y and x axis, we have 1/1=1.
If you want to be more formal, you can pick any two points on the line, for example (0,1) and (3,4), and use the formula
[tex]m = \dfrac{\Delta y}{\Delta x} = \dfrac{y_2-y_1}{x_2-x_1} = \dfrac{4-1}{3-0} = 1[/tex]
Evan correctly answers 80% of the total questions on his history test. He correctly answers 32 questions. What is the number of questions on Ethan’s history test?
Answer:
There are 40 total questions on his text.
Step-by-step explanation:
To find this, divide the number of questions he got right by the percentage of the total they represent.
32/80% = 40
Answer:
40?
Step-by-step explanation:
worth 30 points!!!
Please help me
Answer:
1. true
2.True
3.False
4.false
Step-by-step explanation: