Answer:
y=2x+10
Step-by-step explanation:
In line equations its helpful to write your line in the form y = ax + b. This helps because a is always the gadient of the line and b is always the y intercept.
In this case it is y=2x+3
All parallel lines have the same gradient. The gradient of this line = 2.
If the line crosses the x axis at x=-5, then when x =-5 y = 0.
If you put all this in the form y =ax + b you get 0 = 2(-5) +b
So all you need to do to find b is rearrange. b = 10.
Therefore your line has gradient 2 and y intercept 10.
y = 2x + 10
6. Find the measure of each
marked angle.
The measure of each marked angle is 60 degrees for the given figure, which are alternate exterior angles.
The angles are given as:
∠1 = 10x-20 and ∠2 = 7x+4
As we know that alternate exterior angles are described as the pair of angles formed on the outer side of the parallel lines and on opposite sides of the transversal when two parallel lines are crossed by a transversal.
By alternate exterior angles, it can be written as:
∠1 = ∠2
10x-20 = 7x+4
10x -7x = 4 + 20
3x = 24
x = 24/3
x = 3
From given angles:
80 - 20 = 60
56 + 4 = 60
Thus, the measure of each marked angle is 60 degrees.
Learn more about alternate exterior angles here:
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evaluate 2-(-4) +(-and) where Y = 7.
Answer:
2-4=4+7=11 so that is the answer begginer
Write an equation in slope intercept form given m=2 and b=1
The width of a rectangle is x. Its length is 3x. How long is the diagonal of the rectangle? Express your answer in simplified radical form.
Answer:
square 3x which equals to 3x squared the square x which equals to x squared then add 3x squared to x squared to get 4x squared and then take the square root which equals to 4x
URGENT HELP NEEDED SO PLS HELP
Answer:
1. 18π
2. 39.27cm
3. 4[tex]x^{5}[/tex][tex]z^{8}[/tex]
The perimeter of a triangle is 19 units. The second side is four units longer than the first side and the third side is three times the length of the first side. What are the lengths of the sides?
Answer:
First: 3 units Second: 7 units Third: 9 units
Step-by-step explanation:
19=x+(x+4)+3x
19=5x+4
15=5x
x=3
first side is 3 units
3+4=7
second side is 7 units
3*3=9
third side is 9 units
A billiard ball is struck by a cue. It travels 100 cm before ricocheting off a rail and traveling another 100 cm into a corner pocket. The angle between the path as the ball approaches the rail and the path after it strikes the rail is 45 degrees. How far is the corner pocket from where the cue initially struck the ball?
Answer:
76.53 cm
Step-by-step explanation:
From the question, the triangle formed has 2 sides and an included angle ;
Angle, θ = C = 45°
We use cosine rule :
Taking the side to find as c
a = 100 ; b = 100
From cosine rule :
c = sqrt(a² + b² - 2abCosC)
c = sqrt(100² + 100² - 2(100*100)Cos45
c = sqrt(10000 + 10000 - 20000 * 0.7071067)
c = sqrt(20000 - 14142.135)
c = sqrt(5857.865)
c = 76.536690
c = 76.53 cm
Tamia watched 1 2 of a movie in the morning, and she watched some more at night. By the end of the day, she still had 1 3 of the movie left to watch. How much of the movie did Tamia watch at
Answer: Tamiya watched [tex]\dfrac16[/tex] of the movie at night.
Step-by-step explanation:
Let x = part of movie watched at night.
Given : Tanya watched [tex]\dfrac12[/tex] of movie in the morning.
Part left to watch = [tex]\dfrac13[/tex]
As per given, we have
[tex]\dfrac12+x+\dfrac13=1\\\\\Rightarrow\ x=1-\dfrac13-\dfrac12\\\\\Rightarrow\ x=\dfrac{6-2-3}{6}\\\\\Rightarrow\ x=\dfrac16[/tex]
Hence, Tamiya watched [tex]\dfrac16[/tex] of the movie at night.
which of the following statements are true?
Answer:
A. C.
Step-by-step explanation:
Randy wanted to survey to determine the most preferred pet of the residents in his city.Which method of samplingBEST represents the most unbiased opinion?
Answer:
Survey 100 residents who have pets completely randomly
Step-by-step explanation:
The best sampling method would be to Survey 100 residents who have pets completely randomly. This would provide first-hand information from actual pet owners which would make the results valid. Also, by choosing the individuals to survey completely randomly it allows for the data to be unbiased and representative of the entire pet owner population in the city. This makes the data gathered completely unbiased and valid.
Q1. Which of the following are well-defined sets?
(a) All the colors in the rainbow.
(b) All the points that lie on a straight line.
(c) All the honest members in the family.
(d) All the consonants of the English alphabet.
(e) All the tall boys of the school.
(f) All the efficient doctors of the hospital.
(g) All the hardworking teachers in a school.
(h) All the prime numbers less than 100.
(i) All the letters in the word GEOMETRY.
Answer:
A. All the colors in the rainbow.
Step-by-step explanation:
I think.
Izzy's Frozen Treats sells both frozen yogurt and frozen custard by the ounce. Last week, Marco noticed that a 3-ounce cup of frozen yogurt cost less than a 3-ounce cup of frozen custard. Marco has $5 to spend at Izzy's Frozen Treats today. Which can he buy more of, frozen yogurt or frozen custard?
A)frozen yogurt
B)frozen custard
plz show the work i really need help and this is Compare rates: word problems
Answer:
A. Frozen yogurt
Step-by-step explanation:
The frozen yogurt costs less than the frozen custard, even though you get the same amount (3 ounces)
No matter how much money Marco has, he would be able to buy more of the frozen yogurt because it has a cheaper unit rate.
So, the answer is A, frozen yogurt
please help picture shown above... which one doesn’t belong and why?
Which property is used in the problem below?
2(x+4)=2x+8
Answer:
You would use the distributive property.
Step-by-step explanation:
2(x+4) = 2x+8
2x+8x = 2x+8
10x = 2x+8
10x - 2x = 2x-2x+8
8x = 8
8x/8 = 8/8
x = 1
Suppose the ratio of Lev's age to Mina's age is $1 : 2$ and the ratio of Mina's age to Naomi's age is $3 : 4$. What is the ratio of Lev's age to Naomi's age? Give your answer in simplest form.
Answer:
3:8
Step-by-step explanation:
The ratio of Mina's age to Naomi's age is 3 : 4
Multiplying the above ratio by 2 = 6:8
The ratio of Lev's age to Mina's age is 1 : 2
Multiplying the above ratio by 3
= 3:6
Therefore, ratio of Lev's age to Naomi's age in simplest form.
= 3:8
Answer:
3:8
Step-by-step explanation:
Let L, M, and N stand for the three ages.
The given ratios tell us that
M = 2L
and
N = 4/3M.
Therefore,
N = 4/3 x 2L = 8/3L.
This means that Lev's and Naomi's ages are in the ratio 3:8.
2. Determine the value of each variable for parallelogram INDY has diagonals that intersec at P.1P=3x DP = 6x - 2 NP = 3y and YP=7x-2,
Answer:
x = 2/3 and y = 8/9
Step-by-step explanation:
If a parallelogram INDY has diagonals that intersects at P, then O bisects ID and YN
Hence IP = PD and NP = YP
Given
IP=3x
DP = 6x - 2
NP = 3y and
YP=7x-2,
Substitute
3x = 6x-2
3x-6x = -2
-3x = -2
x = 2/3
x = 0.67
Also NP = YP
3y = 7x-2
3y = 7(2/3) - 2
3y = 14/3 - 2
3y = 14-6/3
3y = 8/3
9y = 8
y = 8/9
Hence x = 2/3 and y = 8/9
how do i calculate the range? {mean, median, mode, range} pls help ASAP
Also, can you tell me in the comments how to delete an answer or remove it?
Answer:
The anwer is below.
Step-by-step explanation:
To calculate mean a.k.a average of something is when you add all of the numbers in the set and then multiply by the number of numbers there were.
an example : 4, 5,6,7 = 4+ 5 + 6 + 7 + 3 = 25 divided by 5 ( the number of numbers there were ) which is 5 so the mean is 5
To calculate the median you have to organize the set of numbers from least to greatest choose the middle number and that's the median, If there is an even number of numbers in the set then you add the two middle numbers and divide it by 2.
an example : 5,7, 8, 4 = 4, 5, 7 , 8 = the middle numbers = 5 + 7 = 12 divided by 2 = 6
To calculate the mode you have to see which numbers comes more often in the set of numbers, If there are two different numbers that come often even if one is higher include them in the mode.
An example - 5,6,6,6,6,7,7,7. The mode in this is 6 but 7 comes often to so if your teacher tells you to include more than one mode in these kinds of situation you include 7 or in general you don't have to
To calculate the range you choose the greatest and the lowest numbers and substract the highest to the lowest number in the set.
An example 5, 6, 7 , 9 , 8 = 9 ( the highest number in this set) - ( substraction) 5 ( the lowest number in this set) and 9 - 5 = 4 so the range is 4
Give the domain and range of each relation. Tell whether the relation is function. Explain. (GUYS I NEED HELP IDEK WHAT DOMAIN OR FUNCTION MEANS) pls help
Answer:
Domain: [0, 4]
Range: [0, 4]
Function? Yes
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x) Range is the set of y-values that are outputted by function f(x) Vertical Line Test - no function can have the same x-value for different y-coordinatesStep-by-step explanation:
According to the graph, our x-values span from 0 to 4. Since both are closed dot, they are inclusive in the domain:
Interval Notation - [0, 4]
Inequality Notation - 0 ≤ x ≤ 4
According to the graph, our y-values span from 0 to 4. Since both are closed dot, they are inclusive in the range:
Interval Notation - [0, 4]
Inequality Notation - 0 ≤ x ≤ 4
Since we see that each x-value has a unique y-value and passes the vertical line test.
∴ the relation is a function.
Blue earns 5.5% commission working at Advian. If he sells $85,000 worth of goods during the quarter,
what is his commission?
Answer:
$4,675
Step-by-step explanation:
The commission is 5.5% of $85,000.
5.5% * $85,000 =
= 0.055 * $85,000
= $4,675
Answer:
$4675
Step-by-step explanation:
85,000 x .055 = 4,675
Hope that helps!
Which graph shows a vertical translation of ƒ(x) up 5 units to give a new function g(x)?
I mist that one its not the first one
Step-by-step explanation:
Answer:
The correct answer is the last image...I just got it right on the quiz.
Step-by-step explanation:
Peter wrote five numbers. Which of peters numbers can be divided into 7 equal groups with 0 left over? Choose that all apply 56, 52, 42, 35, 27,
Answer:
56
42
35
Step-by-step explanation:
is XYZ a right triangle if x=12 y=17 and z=20
[tex]\huge\text{Hey there!}[/tex]
[tex]\text{Is XYZ a right triangle if x = 12, y = 17, and z = 20?}[/tex]
[tex]\bold{Well, right\ angles\ usually\ equal\ to\ about\ approximately \ 90^\circ$}[/tex]
[tex]\bold{12(17)(20)}\\\bold{12(17)=204}\\\bold{204(20)=4,080}\\\bold{4,080\neq90^\circ$}\\\boxed{\boxed{\bold{\underline{NO}, because\ 4,080\ DOES\ NOT\ equal\ to\ to\ 90^\circ }}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
What is the volume of this rectangular prism?
Answer:
1cm³
Step-by-step explanation:
You do not need a calculator for this.
The formula for the volume of a rectangular prism is:
Length × Width × Height = Volume
If we substitute our numbers in:
5/4 × 4/3 × 3/5 = 1cm³
All you need to do is multiply across.
5 × 4 × 3 = 60
4 × 3 × 5 = 60
The numerator and denominator both equal 60. So the fraction would look like this if you were to keep it as a fraction.
60/60
Find the value of x.
.
10
7
Answer:
X = 12.21
Step-by-step explanation:
Since this is a right triangle, use the formula A^2 + B^2 = C^2 and plug in appropriate values.
(10)^2 + (7)^2 = C^2
100 + 49 = C^2
149 = C^2
12.2065 = C
Rounded to two decimal places, this makes X equal to 12.21.
The required value of x is 12.21 for the given right triangle.
What is the right triangle?A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.
Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.
Since this is a right triangle, use the formula A² + B² = C² and substitute appropriate values.
(10)² + (7)² = x²
100 + 49 = x²
149 = x²
x = √149
x = 12.2066
Rounded to two decimal places,
x = 12.21
Therefore, the required value of x is 12.21.
Learn more about Pythagoras's theorem here:
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(05.01)
Which equation can be used to calculate the area of the shaded triangle below? (5 points)
(Answers in photo)
Answer:
answer of the above given question is (c) 1/2(10*6)=30,as we know the area of the triangle is 1/2*base*height.So,we can directly find the area of the triangle.
how many significant figures are in 2856.110
♀️♀️♀️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
PLEASE HELP :)))
triangle similarity theorem
Answer:
9i
Step-by-step explanation
6. Belle wants to find out the average of her test scores in Algebra. What is her average test score if she did 95, 88, 93, 80, 78, 82?
Answer:
86
Step-by-step explanation:
add up all the scores then divide by the amount of test taken. total test score is 516, total test is 6 so 516÷6=86
whoever guesses my birth month first gets the brainliest
simplify the product.
[tex]10\sqrt{12x^{3} } . 2\sqrt{6x^{5} }[/tex]
full calculations please!!
Answer:
[tex]120x^4\sqrt{2}[/tex]
Step-by-step explanation:
First we need to break down the numbers in the radicals into its factors
so
12= 3*2*2
x³=x*x*x
Which means we have
[tex]10\sqrt{3*2*2*x*x*x}=20x\sqrt{3x}[/tex]
and
[tex]2\sqrt{2*3*x*x*x*x*x} =2x^{2} \sqrt{6x}[/tex]
Because the radicand (the small number that goes up top) are the same we can just mulitply the two from here
which means we have
[tex](20x*2x^2)\sqrt{3x*6x}=40x^3\sqrt{18x^2} \\\sqrt{18x^2}=\sqrt{2*3*3*x*x} =3x\sqrt{2} \\=120x^4\sqrt{2}[/tex]