Step-by-step explanation:
When it says y varies directly with x it just means that y and x are proportional/equal to each other. The constant of variation and the constant of proportionality are the same thing just different way of saying it so they can confuse you and make your life miserable. Since y and x are proportional to each other and the constant of proportionalty is -5 to make an equation that represents a line you use the formula y=mx+b. That is the slope of the line. With that formula let's first plus in the x so we have y=m2+b. The formula for direct variation is y=kx as well that's good to know and it's good to memorize all these formulas. Math becaomes easier when you have the process down pat and you just need to plug numbers into different equations, expressions, and scenarios. Do m = [y1 - y2] / [x1 - x2] and you'll get the answer.
Graph this equation on the coordinate plane.
y=−2x+4
Select two points on the line to graph the line.
Answer:
(0,4) and (1,2)
Step-by-step explanation:
The standard equation of a straight line is given as y = mx + b
m is the slopeb is the y-inteceptGiven the equation y = -2x + 4
The slope is -2 and the intercept is 4.Is x = 0, then;
y = -2(0) + 4
y = 4
One of the point on the graph is (0,4)
If x = 1, then;
y = -2(1) + 4
y = -2 + 4
y = 2
Hence the second point is (1, 2)
Learn more on equation of a line here: https://brainly.com/question/19417700
PLEASE HELP WILL MARK BRAINLIEST NO FAKE ANSWERS
Represent algebraically
1. 3n - 5
Five less = -5
Than thrice (three times) a number = 3n
2. 7n + 3
The product of 7 and a number = 7n
Added to 3 = + 3
3. 1/2(3n - 4)
One-half = 1/2
The difference of thrice a number and 4 = 3n - 4
Hope this helps!! :)
Answer:
1. 5-x
2. (7*x)+x
3. 1/2(3x-4)
Which of the following best represents the solution to this system (3x+2y<2
Answer:
y < (2 - 3x)/2.
Step-by-step explanation:
(3x+2y)<2
2y < 2 - 3x
y < (2 - 3x)/2
Heba ate 1/12 of a box of cereal. Now the box is 3/4 full
What fraction of a full box was there before Heba ate?
Answer:
5/6
Step-by-step explanation:
1/12 + 3/4 = 9/12
9/12 + 1/12 = 10/12
simplify 10/12
= 5/6
Solve for the missing angle measures.
Answer:
Q1 b = 105 c= 75 D=105
Step-by-step explanation:
A aNd C are the same and B and D are the same as they are opposite angles. So , 75 +75 = 150 . Then , 360 - 150 = 210 . 210÷ 2 = 105
Hence,
A= 75 B = 105 C=75 D = 105
A triangle is rotated 90° about the origin. Which rule describes the transformation?
(x, y) - (x, y)
(x,y) - (y,x)
(x,y) - Gy. -x)
(x, y) - (y. -)
Answer: The rule (x,y)=(y,-x) describes the
transformation
Step-by-step explanation:.........bc
Please help me, I will be so thankful
Answer:
Step-by-step explanation:
g(-4) = 4 , x < -2
g(-2) = (x - 1)² ; -2≤x< 1
= (-2-1)²
= (-3)²
g(-2) = 9
g(0) = (x -1)² ; -2 ≤ x < 1
= (0 -1)²
= (-1)²
= 1
What is 20 x 4
a. 68
b. 40
c. 82
d. 91
Answer:
None of the above
Step-by-step explanation:
20 x 4 = 80
20 + 20 +20 =20 = 80
CAN SOMEONE PLZ HELP WITH 6 I WILL MARK YOU BRAINLIEST!!!!!
Answer: I dont see anything....
Step-by-step explanation:
What is the product?
(45+2)(582 +10s+3)
0 2052 + 205+6
O 2083 +40s2+12s
0 2033 + 1082 +325+ 6
0 2053 +5082 +325+6
+
Step-by-step explanation:
(4s + 2) × (5s² + 10s +3)
we know immediately the first and the last term of the result, because there is only one operation to build them :
20s³ and 6.
so, the first answer option is already eliminated.
let's multiply
4s×5s² + 4s×10s + 4×3s + 10s² + 20s + 6
20s³ + 40s² + 12s + 10s² + 20s + 6
20s³ + 50s² + 32s + 6
so, the last answer option is correct.
Sela's piano lesson starts at 4:45pm. The lesson is 30 minutes long.
When does her lesson end
Answer:
The lesson ends at 5:15 pm.
Answer:
Her piano lesson ends at 5:15pm
Hope it helps:)
Prove that:
[tex] \cos( \frac{3\pi}{2} + \theta) \cos(2\pi + \theta) [ \cot( \frac{3\pi}{2} - \theta) + \cot(2\pi + \theta) ] = 1 [/tex]
Please solve this problem because tomorrow is my maths exam.
Explanation:
On taking LHS
Cos[(3π/2)+θ]Cos(2π+θ)[Cot{(3π/2)-θ}+Cot(2π+θ)]
We know that
π = 180°
2π = 2×180° = 360°
3π/2 = (3×180°)/2 = 540°/2 = 270°
Now
LHS becomes
Cos(270°+θ)Cos(360°+θ)[Cot(270°-θ)+Cot(360°+θ)]
We know that
Cos (270°+θ) = Sin θ
Cos (360°+θ) = Cos θ
Cot (270°-θ) = Tan θ
Cot (360°+θ) = Cot θ
→ Sin θ Cos θ [Tan θ + Cot θ]
→ Sinθ Cosθ[(Sinθ/Cosθ)+(Cosθ/Sinθ)]
→ Sinθ Cosθ[(Sin²θ+Cos²θ)/(SinθCosθ)]
→ Sin θ Cos θ [1/(Sin θ Cos θ)]
Since Sin²θ+Cos²θ = 1
→ (Sin θ Cos θ)/(Sin θ Cos θ)
→ 1
→ RHS
→ LHS = RHS
Hence, Proved.
Here are the formulae that I have used:
→ π = 180°
→ Cos (270°+θ) = Sin θ
→ Cos (360°+θ) = Cos θ
→ Cot (270°-θ) = Tan θ
→ Cot (360°+θ) = Cot θ
Here are the Trigonometric Identities that I have used:
→ Sin²θ+Cos²θ = 1
Mrs. Larsen wants to get some markers for her class. She notices that they come in boxes of
8.
Write an equation that shows how the total number of markers Mrs. Larsen gets, y, depends
on the number of boxes she buys,X.
y =
(i’ll crown brainliest to whoever answers first, i don’t need the explanation just the answer and how i’m supposed to write it out)
Answer:
y=8x
Step-by-step explanation:
hubsdgvgcsvya
The equation that shows that the total number of markers Mrs. Larsen gets y depends on the number of boxes she buys x, will be;
⇒ y = 8x
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Mrs. Larsen wants to get some markers for her class.
She notices that they come in boxes of 8.
Now,
Let total number of markers = y
And, Number of boxes = x
Here, She notices that they come in boxes of 8.
So, We can formulate;
⇒ y = 8x
Thus, The equation that shows that the total number of markers Mrs. Larsen gets y depends on the number of boxes she buys x, will be;
⇒ y = 8x
Learn more about the mathematical expression visit:
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Need help on the 2 questions ASAP and SHOW WORK PLEASE !!!! 50 points ????
Answer:
-4 - 8-=-4
Step-by-step explanation:
Please Please Help Me. Put the following equation of a line into slope-intercept form, simplifying all fractions.
2y-2x= -14
Answer:
y = x-7
Step-by-step explanation:
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
2y -2x = -14
Add 2x to each side
2y-2x+2x= 2x-14
2y = 2x-14
Divide by 2
2y/2 = 2x/2 -14/2
y = x-7
Prove that:
\cos( \frac{3\pi}{2} + \theta) \cos(2\pi + \theta) [ \cot( \frac{3\pi}{2} - \theta) + \cot(2\pi + \theta) ] = 1
Please solve this problem because tomorrow is my...
Explanation:
On taking LHS
Cos[(3π/2)+θ]Cos(2π+θ)[Cot{(3π/2)-θ}+Cot(2π+θ)]
We know that
π = 180°
2π = 2×180° = 360°
3π/2 = (3×180°)/2 = 540°/2 = 270°
Now
LHS becomes
Cos(270°+θ)Cos(360°+θ)[Cot(270°-θ)+Cot(360°+θ)]
We know that
Cos (270°+θ) = Sin θ
Cos (360°+θ) = Cos θ
Cot (270°-θ) = Tan θ
Cot (360°+θ) = Cot θ
→ Sin θ Cos θ [Tan θ + Cot θ]
→ Sinθ Cosθ[(Sinθ/Cosθ)+(Cosθ/Sinθ)]
→ Sinθ Cosθ[(Sin²θ+Cos²θ)/(SinθCosθ)]
→ Sin θ Cos θ [1/(Sin θ Cos θ)]
Since Sin²θ+Cos²θ = 1
→ (Sin θ Cos θ)/(Sin θ Cos θ)
→ 1
→ RHS
→ LHS = RHS
Hence, Proved.
Here are the formulae that I have used:
→ π = 180°
→ Cos (270°+θ) = Sin θ
→ Cos (360°+θ) = Cos θ
→ Cot (270°-θ) = Tan θ
→ Cot (360°+θ) = Cot θ
Here are the Trigonometric Identities that I have used:
→ Sin²θ+Cos²θ = 1
Hope this helps!!
Solve each division problem, and classify it based on its quotient.
Answer:we are not your servers to that i should solve this problems
Step-by-step explanation:
Answer:
I have no idea? the first is 11 the second is 5 the three is 11 again the last 2 are 1
Step-by-step explanation:
Just give me an answer please
Answer:
Step-by-step explanation:
option 2, gl
Answer:
A and C
Step-by-step explanation:
the acute angles of the right isocoles triangle are congruent you rotate the triangle 135 counterclockwise about the origin
Answer:
45°
4 units
Step-by-step explanation:
Rotation changes nothing about the geometric relationships within the figure. Angle measures are unchanged; side lengths are unchanged.
The acute angles of an isosceles right triangle are (180° -90°)/2 = 45°. This is true regardless of the orientation of the triangle with respect to any coordinate axes.
The measures of the legs of your triangle are 0 -(-4) = 4 = (1 - (-3)). Rotating the figure any amount in any direction around any center doesn't change that.
Can anyone help me with this?
Answer:
x = 42 degrees
y = 37 degrees
Step-by-step explanation:
Those are right angle triangles. So you know the right angles are 90 degrees, and each triangle gives you the measurement of another angle.
So, take the triangle in the top left (x):
180 - 90 - 48 = x
Same with the other triangle (y)
180 - 90 - 53 = y
Help right now, 12/5 into a mixed number and 21/9
15. You take a trip to downtown Boston to walk the Freedom Trail with your family. After you walk
through the Bunker Hill Memorial, your family decided to take a taxi to a restaurant for dinner. After 1
mile, the meter on the taxi says $475. It will cost $6.50 to go 2 miles. The cost varies linearly with the
distance that you have traveled (In other words, there is a constant rate of change).
a
=
670
rounded to the nearest 10
b
=
72.7
rounded to 1 DP
Find the minimum (to 2 DP) of
a
÷
b
Answer:9.22
First, 670 rounded to the nearest ten is:
670
Second, 72.7 rounded to 1DP is:
well, 72.7
a÷b is:
9.2159
9.22 (2 DP)
1) Evaluate the expression 3^3 • (12 – 2) = 2.
.
-
3^3 • (12 – 2) divided 2 =
.
-
?
Ms. Howard buys a car for $500 and adds a music system that costs $200. Then she adds a set of seat covers for the price shown.
A photo of two seat covers is shown. A price tag reads, Sale, fifty dollars.
Answer:
$750 that is the answer if you add them all up
A sample of gold has a mass of 579 g. The volume of the sample is 30 cm3. What is the density of the gold sample?
The density of the gold sample is 19.3g/cm³
Let the mass of the gold sample be represented by m
m = 579 g
Let the volume of the gold sample be represented by V
V = 30 cm³
Let the density of the gold sample be represented by ρ
The formula for the density is:
[tex]Density = \frac{Mass}{Volume}[/tex]
[tex]\rho = \frac{m}{V} \\\rho = \frac{579}{30} \\\rho = 19.3 g/cm^3[/tex]
The density of the gold sample is 19.3g/cm³
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Factor the Trinomial 6x^2 + x - 40
(And please show the work/steps.)
If x-1/x=3, find the value of x^2+1/x^2
please show steps too…
Answer:
5
Step-by-step explanation:
x=-1/2
You collect a total of $75 in donations from three people. The three donations are in the ratio 4 : 4 : 7.
Answer:
20 20 35
Step-by-step explanation:
4+4+7 then divide by 75 whatever answer you get multiplyy by the 4 or the other 4 or the 7
Help
Ill mark u as brainlest if ur answer is clear
Thank you
Answer:
[tex]x=55[/tex]
Step-by-step explanation:
To solve this question you need to know some properties of a parallelogram which is the shape given.
Firstly, remember that in a parallelogram opposite angles are equal.
Secondly, remember that the diagonals of a parallelogram bisect each other.
Lastly, remember that the sum of the interior angles of a quadrilateral or a parallelogram is 360°.
So, by using the first property we can see that because [tex]<[/tex]PQR=70° then [tex]<[/tex]PSR must be equal to 70° as well.
Now, we can use the last property to find [tex]<[/tex]SPQ then, use the second property to find [tex]x[/tex].
Let's name [tex]<[/tex]SPQ, [tex]y[/tex].
and That gives:
[tex]2y+140=360[/tex]
Subtract 140 from both sides:
[tex]2y=360-140[/tex]
[tex]2y=220[/tex]
[tex]y=\frac{220}{2}[/tex]
[tex]y=110[/tex]
So, [tex]<[/tex]SPQ=110 and
Now using the second property we can find that:
[tex]<[/tex]SPQ=[tex]2x[/tex]
And [tex]2x=110[/tex]
[tex]x=\frac{110}{2}[/tex]
[tex]x=55[/tex]
Hope this helped.