Answer:
Linear equation with a slope of 2 that goes through the point (3, 4) is [tex]y = 2\cdot x -2[/tex].
Step-by-step explanation:
From statement we know the slope of the line and a point contained in it. Using the slope-point equation of the line is the quickest approach to determine the appropriate equation, whose expression is:
[tex]y-y_{o} = m \cdot (x-x_{o})[/tex]
Where:
[tex]m[/tex] - Slope, dimensionless.
[tex]x_{o}[/tex], [tex]y_{o}[/tex] - Components of given point, dimensionless.
[tex]x[/tex], [tex]y[/tex] - Independent and dependent variable, dimensionless.
If we know that [tex]m = 2[/tex], [tex]x_{o} = 3[/tex] and [tex]y_{o} = 4[/tex], the linear equation is found after algebraic handling:
1) [tex]y-4 = 2\cdot (x-3)[/tex] Given
2) [tex]y = 2\cdot (x-3) +4[/tex] Compatibility with Addition/Existence of Additive Inverse/Modulative Property
3) [tex]y = 2\cdot x -2[/tex] Distributive Property/[tex](-a)\cdot b = -a\cdot b[/tex]/Definition of sum/Result
Linear equation with a slope of 2 that goes through the point (3, 4) is [tex]y = 2\cdot x -2[/tex].
Which scales are equivalent to 1 inch to 1 foot?
Select all that apply.
Group of answer choices
36 to 3
100 to 0.12
9 to 108
LaTeX: \frac{1}{12} 1 12 to 1
5 to 60
1 to 12
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Assuming the angle below is drawn to scale, which of the following could be the measure of 2XYZ? A. 120° B. 90 C. 180° O D. 30°
Answer:
Option (A)
Step-by-step explanation:
Given angle in the picture is neither a right angle (equal to 90°) nor obtuse angle (greater than 90°).
It's an acute angle which measures less than 90°.
Therefore, possible measure of the given acute ∠XYZ = 30°
Option (A) will be the answer.
Find the values of c and d
[tex]36 + 3c = 90 \\ 3c = 90 - 36 \\ 3c = 54 \\ c = 18[/tex]
[tex]5d + 10 = 90 \\ 5d = 90 - 10 \\ 5d = 80 \\ d = 16[/tex]
A rain gutter is made from aluminum sheets that
28 cm wide. The first step in forming a rain gutter is to lift the edges of the aluminum sheet to form right angles, as show in in the illustration below. The cross-section
area formed by the raised edges affects the water flow. This cross-section area, A, can be represented by the function A = x(28-2x) where x
represents the height of the raised edges.
1. To the nearest centimetre, determine the height of the raised edge, x cm, which will maximize the
transverse area.
Answer:
7 cmStep-by-step explanation:
For any quadratic function f(x)=ax²+bx+c given in form f(x)=a(x-h)²+k, where:
h=-b/2a and k=f(h) the point (h, k) is vertex of the function graph.
It means that k is maximum (if a<0) or minimum (if a>0) value of function and x=h is the x which will maximize function.
A(x) = x(28-2x) = 28x - 2x² = - 2x² + 28x ⇒ a = -2 , b = 28
h = -28/[2•(-2)] = 7
Round to the nearest hundred, and then subtract. 4,623- 3,892
Answer:
700
Step-by-step explanation:4623=4600
3892=3900
4600-3900=700
Answer:
700
Step-by-step explanation:
4623 round to the nearest hundred : 4600
3892 round to the nearest hundred: 3900
4600-3900= 700
Find the value of x in each case:
Answer:
2x = 36°
8x = 144°
Step-by-step explanation:
8x + 2x = 180°
10x = 180°
x = 180/10
x = 18
then:
2x = 2*18 = 36°
8x = 18*8 = 144°
The value of x from the given diagram is 18. then each angle will be 2x = 36° and 8x = 144°
What is linear equation?Linear equation is equation in which each term has at max one degree. Linear equation in variable x and y can be written in the form y = mx + c
Linear equation with two variables, when graphed on cartesian plane with axes of those variables, give a straight line.
Also, the triangle ACD, the sum of the interior angle of the triangle is 180 degrees;
8x + 2x = 180°
10x = 180°
x = 180/10
x = 18
Then:
2x = 2*18 = 36°
8x = 18*8 = 144°
Hence the value of x from the given diagram is 18.
Learn more about linear equations here:
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order fruits from least to greatest according to the unit prices 0.84, 2.25, 1.17
Answer:
0.84, 1.17, 2.25
Step-by-step explanation:
Answer:
.84, 1.17, 2.25
Step-by-step explanation:
You can answer this on your own by finding which numbers are farther away from zero. So the farther you get from zero, the more you have.
If p(x) = 5(22 +1) + 16, what is the value of p(11)? O A. 690 O B. 736 O C. 622 O D. 626
Answer: 626
Step-by-step explanation:
What is 7 9/27 in simplest form
Answer:
7 1/3
Step-by-step explanation:
the 7 stays but 9/27 can be simplified into 1/3 because you divide both 9 and 27 by 9
I'd love some help on this question. I do not understand how you would go about working this out, so please explain the working out. Thank you!!!
If x = -6 which inequality is true
Answer:
what inequalities?
Step-by-step explanation:
Frankie bought a $200 pass to a local
carwash. As a promotion, his first 3 visits
are free and a discounted price of $8.00 per
visit for his succeeding visits. How many
washes will Frankie get in all for his $200?
Answer:
28 visits
Step-by-step explanation:
3 (free visits)+ 25=28
i got 25 from 25x8=200
200 is the price needed to be reached
26 divided by 5 1/2 I dont know!!
Answer:
4.727
Step-by-step explanation:
An easy way to think of something being divided by a fraction is by turning the fraction into a decimal. In this case, it's 5 1/2, which is the same as 5.5. So, you can just calculate 26 / 5.5, by hand, or on a calculator, and the answer is 4.727.
Hope this helps!
Hey there!☺
[tex]Answer:\boxed{4\frac{8}{11}}[/tex]
[tex]Explanation:[/tex]
[tex]26/5\frac{1}{2}[/tex]
Divide both fractions.
[tex]26/5\frac{1}{2}=\frac{52}{11}[/tex]
52/11 needs to be simplified so let's simplify it.
[tex]\frac{52}{11}=4\frac{8}{11}[/tex]
[tex]4\frac{8}{11}[/tex] is our final answer.
Hope this helps!
Can someone help me, please and thank you? I'll give BRAINLEST to the person who gets it right!!!
Answer:
n = 12
Step-by-step explanation:
-8 = 16 - 2n
2n -8 = 16 -2n + 2n (both side add 2n)
2n -8 + 8= 16 +8 (both side add 8)
2n = 24
n = 12
Can someone plz help ☹️☹️☹️
Answer:
35
Step-by-step explanation:
x=3x-70
because corresponding angles are congruent
Solve the equation to find x.
Solve the following problem. My bank account balance was $7676 and i withdrew amounts of $1369, $2618, and $937. What is my balance now?!??!
Helllllllp ASAP!!!!!!!!!!!!!!!
Answer:
I think the fourth one. But I am not sure though..
Answer:
3) -2/3
Step-by-step explanation:
hope it help.....
Identify the like terms in the expression:
-12x +15y -17x +16y
Answer:
-29x+31y
Step-by-step explanation:
= -12x-17x+15y+16y
=-29x+31y
I need help with these questions will give brainiest
Answer:1F= f(x)=3x+1.5y
1E=18
1A domain=3 range=1.5
Step-by-step explanation:
im doing the zero product propety and some factoring for a hw assignment but these ones i cant figure out x² - 2x - 35= 0
3x² + 14x - 5 = 0
offering brainliest
Answer:
(x-7)(x+5) for the first one. ( 3 x − 1 ) ( x + 5 ) = 0 for the second.
Step-by-step explanation:
X = 18 is a solution to this equation X + 79 = 98 Question 4 options: True False
Answer:
false
Step-by-step explanation:
the cost split among 4 people
Answer:1 dollar each
Step-by-step explanation:
PLEASE HELP FAST! I'll mark as brainliest
4 4 4 4 = 2
4 4 4 4 = 3
4 4 4 4 = 4
4 4 4 4 = 5
4 4 4 4 = 6
Using only the given operations, make each equation true.
Operations: +, -, , , !, %, ^
Answer:
It is easy you just add all of the up and the answer will give you 20 so your answer will be 20
Step-by-step explanation:
ad 2+3+4+5+6 = 20
Answer:
It is easy you just add all of the up and the answer will give you 20 so your answer will be 20
Step-by-step explanation:
ad 2+3+4+5+6=20
20 is your answer
HOPE THIS HELPS YOU!
The midpoint of AB is at ( − 5 , 2 ). If A = ( 10 , − 3 ), find B.
Answer:
work is attached and shown
A square has a side length of 9 cm2 what is the area
HURRRYYYYYYY!! WILL GIVE BRAINLIEST
Find the solution set for the open sentence with the given replacement set. w2+16=8w, {0, 2, 4, 8} 0 2 4 8
Answer:
It’s 4
Step-by-step explanation:
in the himalaya mountains allong the border of tibet and nepal mount everest reaches a record height of 29,035 feet. How high is mount everest in miles? In kilometers? In meters?
ASK YOUR QUESTION
Answer:
Step-by-step explanation:
In miles it is 29,035 / 5280
= 5.5 miles.
In kilometers it is 5.5 / 0.621 kilometres
= 8.857 km.
= 8857 m.
Answer:
In miles it is 29,035 / 5280= 5.5 miles I umm belive
Step-by-step explanation:
Any number to the power of zero is always?
Answer:
In short, the multiplicative identity is the number 1, because for any other number x, 1*x = x. So, the reason that any number to the zero power is one is because any number to the zero power is just the product of no numbers at all, which is the multiplicative identity,
Answer: Any number to the power of zero would be 1
The length of a square garden is twice a number. If the perimeter of the garden is 36, find the number.
Answer:
x = 4.5
Step-by-step explanation:
l = 2x
p = 4l
note: 4l in this case because it is a square
plug in l into equation p
36 = 4(2x)
36 = 8x
divide by 8
x = 4.5
If m/n = 3, what does 2n/m equal?
(Hard) A composite number n is called a Carmichael number bn−1 ≡ 1 (mod n) for every number b such ... Base case: When n = 2 the formula a + c ≡ b + d (mod m) was already given. ... The sequence goes 1, 3, 7, 15, 31,... guess that it is equal to 2n+1 − 1. ... Prove (now using induction on n) that fm|fmn for all n ≥ 1.
Answer:
That would be n[tex]\geq 1\\[/tex]
Step-by-step explanation: