Answer:
C) Yes, since the slopes are the same and the y-intercepts are different.
Step-by-step explanation:
You need to have both equations in slope-intercept form.
4x - 6y = -6
-6y = -4x - 6
y = 2/3x + 1
The two equations are
y = 2/3x + 1
y = 2/3x - 17
For lines to be parallel, the slopes must be equal. The y-intercepts don't matter.
Since the lines have the same slopes but different y-intercepts the answer is C.
please helllppppp........
8% lower means the gauge is showing 92% of the original pressure
( 100% - 8% = 92%)
Divide the pressure the gauge is showing by 92%
33.58 / 0.92 = 36.5
The actual pressure is 36.5
Select the correct answer. Which equation represents a line that is perpendicular to line FG?
Answer:
Hey there!
Equation of Line FG: [tex]y=\frac{1}{2} x+3.5[/tex], because the slope (rise over run) is 2 and we see that the y intercept is 3.5.
Equation to a Line Perpendicular to FG: [tex]y=-2x-3\\[/tex], because the equations of perpendicular lines have the same (but could also be different y-intercepts), and opposite reciprocal slopes.
Let me know if this helps :)
Answer:
C)
Step-by-step explanation:
f(-5,1) & G(9,8)
Slope of FG = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
= [tex]\frac{8-1}{9-[-5]}=\frac{7}{9+5}\\\\[/tex]
[tex]\frac{7}{14}\\\\=\frac{1}{2}[/tex]
Slope of line perpendicular to FG = -1/m = -1/(1/2) = -2
Equation of line in slope intercept form : y = mx + b
m = - 2
So, option c will be the equation of the line perpendicular to FG
Please help I’m being timed!!! A country commits to decreasing spending for infrastructure in various ways at a rate of 30% per year. At the time of the announcement, the country is spending $12 billion per year. Which graph models the amount of infrastructure spending for future years?
Answer:
It would be the graph that has point (0,12) and is decreasing to the right.
Please Help!!! Will get brainiest if answer correctly with an explanation. Name the postulate or theorem you can use to prove wzv=wzy. given:
Answer:
AAS
Step-by-step explanation:
Δwzy=Δwzv
to prove the equality:
1- wz is a common side
angle: wzv=wzy=90 degrees ( height of triangle)
angle v= angle y
Since WZ bisects W, it's good to say that vwz and zwy
prove one side is equal and two angles
so ASA or AAS is the answer
Find the dimensions of a deck which will have railings on only three sides. There is 28 m of railing available and the deck must be as large as possible.
Answer:
2x2x7
Step-by-step explanation:
S = { x ; x is a multiple of 8. 0 < x <30 } Describe this set in another method
Step-by-step explanation:
Hi,
Let's describe it in listing method;
S= {8,16,24}.
Hope you got it...
If it rains, I do not go sailing. It rains 10 % 10\% 10% of days; I go sailing 3 % 3\% 3% of days. If it does not rain, what is the (conditional) probability that I go sailing? Written "p(I go sailing | it does not rain)''
Answer:
0.03333 or 1/30
Step-by-step explanation:
Let A =" I go sailing" and B = "it does not rain"
P(A) = 0.03
P(B) =0.90
Since I never go sailing when it rains, P(A and B) =0.03.
Therefore, the (conditional) probability that I go sailing, given that it does not rain is:
[tex]P(A|B)=\frac{P(A\ and\ B)}{P(B)} \\P(A|B)=\frac{0.03}{0.90}=0.033333[/tex]
The probability is 0.03333 or 1/30.
Veronica wants to check her work after evaluating Negative 108 divided by (negative 6). What steps can she follow to verify her answer?
Answer:
The answer to your question is 18
Step-by-step explanation:
Process
1.- Write the fraction given
[tex]\frac{-108}{-6}[/tex]
2.- Divide the numbers as usual
18
6 108
48
0
3.- Divide the signs
negative / negative = positive
4.- Write the answer
[tex]\frac{-108}{-6}= 18[/tex]
5.- Check the result
Multiply 18 by -6 and the result must be -108
-6 x 18 = 108
We know a negative times a negative is equal to a positive.
- 108 / - 6 is the same as 108 / 6 because the larger number is on top.
Therefore she can drop the negative signs and solve 108/6 to verify her answer.
Another one omg this is annoying
Answer:
Correct option: first one
Step-by-step explanation:
The equation f(x) = 5x + 1 is a function, because each value of x gives only one value of y.
Now let's find the inverse by switching f(x) by x and x by f'(x), then isolating f'(x):
[tex]x = 5f'(x) + 1[/tex]
[tex]5f'(x) = x - 1[/tex]
[tex]f'(x) = \frac{x - 1}{5}[/tex]
The inverse f'(x) is also a function, because each value of x gives only one value of x.
So we have that both the equation and its inverse are function, therefore the correct answer is the first option.
a culinary student decorates a 8-in. -diameter round cake. What is the approximate are of the top of the cake?
Answer:
The top of the cake is 25.12 in²
Step-by-step explanation:
Hello!
So you are dealing with a circumference question! And because the diameter is 2x the radius, we know the radius is actually 4.
Lets write out the circumference formula and use that to help us.
c = 2[tex]\\\pi[/tex] x r
pi is 3.14....
But lets use 3.14
c = 2(3.14) x 4
Plus this into a calculator and we get 25.12 as the answer.
Answer:
≈50.265 [tex]in^{2}[/tex]
Step-by-step explanation:
You first have to find the radius since the formula for the area of a circle is A=[tex]\pi r^{2}[/tex].
Since the radius is half the diameter, just divide 8 by 2 which will give you 4.
r=4
Now plug in the radius into the formula and simplify.
A=[tex]\pi 4^{2}[/tex]
[tex]A=\pi 16[/tex]
≈50.265 [tex]in^{2}[/tex]
(TIMED PLEASE HELP!!) The area of the two triangles is given by the functions: Area of Triangle A: x2 + x Area of Triangle B: x2 – 3x Which function represents the sum of the areas of the two triangles? (a) 4x (b)–4x (c) x2 – 4x (d) 2x2 – 2x
Answer:
D
Step-by-step explanation:
Here, we are given the values of the areas of the two triangles and we want to find the sum of these areas
The sum can be found by adding the area of triangle A to the area of triangle B
That would be;
x^2 + x + x^2-3x = 2x^2 -2x
Answer:
d
Step-by-step explanation:
Activity: A flagpole has cracked 1.7 m from the ground and fallen over, as if hinged. The top of the flagpole hit the ground 3 m from the base. How tall was the flagpole before it fell?
Answer:
Height of flagpole before it fell = 5.15 m
Step-by-step explanation:
Given:
Height of remain pole (p) = 1.7 m
Distance from base (b) = 3 m
Find:
Height of flagpole before it fell
Computation:
Using Pythagorean theorem
H = √ p² + b
Length of broken part = √ 1.7² + 3²
Length of broken part = √ 2.89 + 9
Length of broken part = √ 11.89
Length of broken part = 3.45 (Approx)
Height of flagpole before it fell = Length of broken part + Height of remain pole
Height of flagpole before it fell = 3.45 + 1.7
Height of flagpole before it fell = 5.15 m
Please answer this in two minutes
Answer:
54
Step-by-step explanation:
im not that good so u should cheek it first
Answer: 9a + 249
Step-by-step explanation: 9a + 249 and a would be one cause these numbers are independent
solve : 3/2 X -7/2 = 5x +14
Answer:
The answer to your question is -5
Step-by-step explanation:
Data
[tex]\frac{3}{2}x - \frac{7}{2} = 5x + 14[/tex]
Process
1.- Subtract 5x in both sides
[tex]\frac{3}{2} x - \frac{7}{2} - 5x = 5x -5x + 14[/tex]
2.- Simplify
[tex]- \frac{7}{2} x - \frac{7}{2} = 14[/tex]
3.- Add 7/2 in both sides
[tex]-\frac{7}{2} x = 14 + \frac{7}{2}[/tex]
4.- Simplify
- [tex]\frac{7}{2} x = \frac{35}{2}[/tex]
5.- Solve for x
x = [tex]\frac{35}{2} / - \frac{7}{2}[/tex]
6.- Simplify
x = -5
Answer: x = -3.71
Step-by-step explanation:
3/2*-7/2=5x+14
-4.55=5x+14
Subtract 14
-18.55=5x
Divide by 5
x = -3.71
Hope it helps <3
Sadie simplified the expression √54a^7b^3, where a>=0, as shown: √54a^7b^3= √3^2•6•a^2•a^5•b^2•b=3ab √6a^5b
Answer:
We are to find the error made by Sadie and then find the correct simplification.
The error Sadie made is that she wrote [tex]a^7[/tex] as [tex]a^2 * a^5[/tex] instead of [tex]a^6 * a[/tex].
The square root of [tex]a^6[/tex] is [tex]a^3[/tex] and so she could have further simplified.
The correct simplification is shown below:
[tex]\sqrt{54a^7b^3} = \sqrt{2 * 3 * 3 * 3 * a^6 * a * b^2 * b} \\ \\= \sqrt{3^2 * a^6 * b^2 * 6 * a * b} \\\\= 3a^3b\sqrt{6ab}[/tex]
Answer:
We are to find the error made by Sadie and then find the correct simplification.
The error Sadie made is that she wrote as instead of .
The square root of is and so she could have further simplified.
Step-by-step explanation:
On edge2021
help with the question below would be much appreciated :)
Answer:
B
Step-by-step explanation:
In an isosceles triangle, the altitude is the median so the altitude splits the base into two segments with lengths of 5. We notice that x is part of a right triangle with legs of 5 and 12, therefore, using the 5 - 12 - 13 Pythagorean Triple, x = 13.
Answer:
(B) 13
Step-by-step explanation:
This isosceles triangle is broken up into two parts, both are right triangles.
To find the length of a missing side in a right triangle, we use the Pythagorean Theorem - [tex]a^2+b^2=c^2[/tex]. where one of the legs is a, the other leg is b, and the hypotenuse is c.
We know that one of the legs is 12, and since the base of the triangle is 10, the leg of one of the right triangles is 5.
Let's solve.
[tex]5^2+12^2=c^2\\25+144=c^2\\169=c^2\\\\\sqrt{169} =c\\13=c[/tex]
So, c is 13, therefore the hypotenuse is 13, therefore x is 13.
Hope this helped!
help with pre algebra
Answer:
The y-axis.
Step-by-step explanation:
This is because it is mirroring across the y-axis, and the x-coordinate's sign is getting changed from positive to negative.
Answer:
Y-axis
Step-by-step explanation:
B is a reflection of point A across theY-axis. The vertical line is Y and the horizontal line is X.
what is the value of [3.6]
Answer:
3
Step-by-step explanation:
You remove the brackets and round down to the nearest whole number which is three..
Edge 2020
~theLocoCoco
Answer:
a
Step-by-step explanation:
edge 2021
2x -2=10 solve for x
Answer:
x=6
Step-by-step explanation:
Take -2 and add it to 10 and get 12. So then the equation is 2x=12. Divide 2 by 12 and get x=6.
Determine the perimeter and area of the red portion of the 2 dimensional figure below, given the circle diameter of 7 cm and the perimeter of the entire figure is 42 cm. Round if necessary
Answer:
Perimeter = 20cm ; area = 59.5cm
Step-by-step explanation:
Given the following :
Perimeter of entire figure = 42cm
Diameter of circle (d) = 7cm
Find the perimeter of the circle :
The perimeter (p) of a circle equals :
2πr
Where r = radius of circle
r = diameter /2 = 7/2 = 3.5cm
Therefore,
P = 2 * (22/7) * 3.5
P = 22 cm
Looking at the figure, we only take the semicircle :
Therefore perimeter of each semicircle =
22cm / 2 = 11cm
Therefore, perimeter of the red shaded region =
(42 - 22)cm = 20cm
Area of Circle = πr^2
(22/7) * 3.5^2 = 38.5 cm
Area of each semicircle = 38.5/2 = 19.25cm
Total area of semicircle = (19.25 +19.25) = 38.50cm
To find sides of rectangle :
Perimeter of the rectangle :
width = diameter of circle = 7cm
2(l + w) = 42
2(l + 7) = 42
2l + 14 = 42
2l = 42 - 14
2l = 28
l = 28/2
length (l) = 14cm
Therefore, area of rectangle :
Length * width
14 * 7 = 98cm
Area of red portion:
Area of rectangle - (area of the 2 semicircles)
98cm - 38.50cm
= 59.50cm
In a particular year, a total 44,064 of students studied in two of the most popular host countries when traveling abroad. If 8382 more students studied in the most popular host country than in the second most popular host country, find how many students studied abroad in each country. There were ____ students who studied abroad in the most popular host country.
Step-by-step explanation:
Total=44,064
Host countries= 2
2nd most popular country= x
Popular country=x+8382
x+x+8,382=44,064
2x=44,064-8,382=35,682
2x=35,682
x=17,842
2nd most popular=17,842
Popular=17,842+8,382=26,224
Answer=26,224
There were students who studied abroad in the most popular host country by forming the equation is 26,224
How equations are formed?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left-hand side = right-hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it has no "equal to" sign. It will be regarded as a phrase.
Here, It is given:
Total number of students = 44,064
Number of Host countries= 2
Let the 2nd most popular country= x
So, the Popular country becomes x+8382
Now, According to the question:
⇒x+x+8,382=44,064
⇒2x=44,064-8,382=35,682
⇒2x=35,682
⇒x=17,842
Hence, The number of students in 2nd most popular country=17,842
And, The number of students in a popular country
= 17,842+8,382=26,224
To learn more about forming equations, visit:
https://brainly.in/question/29041303
#SPJ2
Find the interquartile range for a data set having the five-number summary: 5.6, 11.1, 19.2, 24.5, 33.3
Answer:
interquartile range=20.55
Step-by-step explanation:
5.6, 11.1, 19.2, 24.5, 33.3
median is 19.2
Q1=(5.6+11.1)/2=8.35
Q3=(24.5+33.3)/2=28.9
interquartile range= Q3-Q1=28.9-8.35=20.55
List the coordinates of FOUR vertices that create the feasible region on the graph. Submit your answer in the form of FOUR ordered Pairs (x, y)
Answer:
see below
Step-by-step explanation:
The feasible region is the shaded area. We just need to find the coordinates of its vertices. These are (200, 200), (300, 0), (500,0) and (300, 200).
i need help with this
Answer:
Step-by-step explanation:
diameter=2×5=10 cm
32/10=3.2≈3
128/10=12.8≈12
total number of squares=12×3=36
Please answer it now in two minutes
Answer:
VX = 8.8 in
Step-by-step explanation:
By applying Sine rule in the right triangle WXV,
Sin(∠W) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{\text{VX}}{\text{WX}}[/tex]
Sin(34)° = [tex]\frac{VX}{15}[/tex]
VX = 15.Sin(34)°
= 8.8379
≈ 8.8 in.
Therefore, measure of side VX is 8.8 in.
The tire of a car has a radius of 10.5 inches. How far will the car travel for 200 revolutions? Use
22/7 as an approximation for it.
Answer:
The car will travel approximately 13200 inches
Step-by-step explanation:
Notice that in one revolution, the car travels exactly the length of the tire's circumference, that is: [tex]2\,\pi\,R[/tex]
Then, in 200 revolutions the car will travel 200 times that amount:
[tex]200\,(2\,\pi\,R)=400\ \pi\,R[/tex]
So for the given dimension of the tire, and using the approximation [tex](\pi\approx22/7)[/tex], this distance would be:
[tex]400\ \pi\,R=400\,\,\frac{22}{7} \,\,10.5\,\,in=13200\,\,in[/tex]
Determine the equation of a line that passes through the points: (3, 12) and (- 2, -13)
Answer:
Step-by-step explanation:
(-13-12)/(-2-3)= -25/-5= 5
y - 12 = 5(x - 3)
y - 12 = 5x - 15
y = 5x - 3
The base BC of an equilateral triangle ABC lies on y-axis. The coordinates of points C are (0, -3). The origin is the mid –point of the base. Find the coordinates of the points A and B. Also find the coordinates of another point D such that BACD is a rhombus.
Answer
Point b is (0,0) Point a is (3,-2) Im not doing the second part
Step-by-step explanation:
Calculate the average rate of change for the given graph from x = -2 to x=0 and select the correct answer bellow
Answer:
3
Step-by-step explanation:
The rate of change between two points a and b(a<b) for a fynction f is given by the formula:
r = [tex]\frac{f(b)-f(a)}{b-a}[/tex]so our rate of change is
r = [tex]\frac{6-0}{0-(-2)}[/tex] r = [tex]\frac{6}{2}[/tex] r=3PLEASEEEEANSWERWhich of the following linear equations represents the data chart below? y = 3x + 5 y = x − 5 y = 3x + 11 None of these choices are correcT
Answer:
y=3x+5
Step-by-step explanation: