1)make x the subject of h=4(x+3y)+2 2) make a the subject of a^2+b^2=c^2
Answer:
[tex]\frac{h-12-2}{4} = x[/tex] & a² = c² - b²
Step-by-step explanation:
h = 4 (x + 3y) + 2
Expand brackets
h = 4x + 12y + 2
Subtract 12y & 2 from both sides
h - 12y - 2 = 4x
Divide both sides by 4
[tex]\frac{h-12-2}{4} = x[/tex]
a² = c² - b²
Then √ both sides to lose the ²
8. Identify which equation is a graph of a vertical line.
0 4x = -9y
O 2y = -10
O 10x = 10
0 -7x = -1ly
Answer:
10x = 10.
Step-by-step explanation:
The equation will contain the x variable only.
which of these shapes are parallelograms choose all correct answers
Answer:
The 2 pink ones
explanation: I got this right
The two pink diagrams in the given figure are parallelograms.
What is a parallelogram?A unique kind of parallelogram created with parallel lines is called a parallelogram.
A parallelogram can have whatever angle between its neighboring sides, but for it to be a parallelogram, it's opposite sides must be parallel. If a quadrilateral's opposite sides are parallel and congruent, it will be a parallelogram.
So a rectangle both with pairs of separate sides being parallel and equal is known as a parallelogram.
The word "parallelogram" is a translation of the Greek term "parallelogrammon," which means "confined by line segments." As a result, a quadrilateral that is surrounded by parallel lines is called a parallelogram.
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The grade of a road is its slope written as a percent. A warningsign must be posted if a section of road has a grade of at least 8% and ismore than 750 feet long.a. Interpret and Apply A road rises 63 feet over a horizontal distanceof 840 feet. Should a warning sign be posted? Explain your thinking.b. Critical Thinking The grade of a section of road that stretches over ahorizontal distance of 1000 feet is 9%. How many feet does the roadrise over that distance?
Answer:
(a)Grade =7.5% (No warning sign is needed)
(b)Rise =90 feet
Step-by-step explanation:
[tex]\text{Slope = }\dfrac{Rise}{Run}[/tex]
(a)
Rise = 63 feet
Run (Horizontal distance) = 840 feet.
[tex]\text{Slope = }\dfrac{63}{840}=0.075\\\\$Grade=Slope \times 100 = 0.075 \times 100 = 7.5\%[/tex]
A warning sign should not be posted since its grade is less than 8%.
(b)
Grade = 9%
Run (Horizontal distance) = 1000 feet.
Recall that:
Grade = Slope X 100
[tex]9 =\dfrac{Rise}{1000} \times 100\\\\9 =\dfrac{Rise}{10}\\\\$Rise = 9 \times 10 \\$Rise=90 feet[/tex]
The road rises 90 feet over a distance of 1000 feet.
48:PLEASE HELP Find the x-intercept of -x+2y=22
Answer:
-22
Step-by-step explanation:
set y equal to zero and solve like a regular singular variable equation
Assume that all triangles have interior angles less than 90°.A surveyor sights on a survey marker that is 132.3m distant. She needed to turn her transit (her survey instrument) 75° to sight on a second survey marker. She knows that from the second marker, the angle between the line of site from her own position and the first marker is 68°. How far is she from the second marker?
Answer:
85.9 m
Step-by-step explanation:
The law of sines can help figure this.
The remaining angle in the triangle is ...
180° -75° -68° = 37°
This is the angle opposite the leg from the surveyor to the second marker. Referencing the attachment, we have ...
b/sin(B) = c/sin(C)
b = sin(B)·c/sin(C) = 132.3·sin(37°)/sin(68°) ≈ 85.873 . . . meters
The surveyor is about 85.9 meters from the second marker.
PLEASE HELP, I WILL MARK YOU BRAINIEST Identify if the relationship represented in the tables below is linear. If the table is linear, write the equation of the line.
Answer:
a) Yes. y=-4x+2. b) No.
Step-by-step explanation:
a) For every section of the graph as x goes up 1, y does down 4. It has a proportional relationship and you can use the rise and run found to do rise/run and get a slope of -4 and when x is at 0, y is at 2, giving you a y-intercept of 2.
b) There is no proportional relationship using addition and subtraction so the graphed line would not be straight.
using y2-y1 over x2-x1 the first table is 10-14 over -2--3 which would be -4 over 1
The next one would be 4 over -1
Not 100 percent sure
Gabriel note sur une frise chronologique les événements familiaux importants. Il utilise des entiers positifs ou négatifs. Pour écrire une date avant sa naissance, il utilise des nombres négatifs et pour une date après sa naissance, des nombres positifs. Par exemple, la mère de Gabriel a reçu une médaille en l'an -20−20minus, 20 et la sœur de Gabriel est née en l'an +5+5plus, 5. Que représente l'année 0~?0 ?0, space, question mark Réponse : Réponse : L'année où la sœur de Gabriel est née L'année de la naissance de Gabriel L'année où la mère de Gabriel a reçu une médaille
Answer:
L'option B est correcte. Le chiffre 0 représente l'année de naissance de Gabriel.
Option B is correct.
The number 0 represents the year when Gabriel was born.
Step-by-step explanation:
Il a été déclaré dans la question que Gabriel a enregistré des événements tge dans leur vie par rapport à quand il est entré en scène. Avec des exemples notables donnés pour illustrer que les nombres négatifs indiquent les temps avant la naissance de Gabriel et les nombres positifs indiquent les années après la naissance de Gabriel.
Par conséquent, il est simple de voir que l'année 0 en termes relatifs à la naissance de Gabriel représentera l'année de naissance de Gabriel.
J'espère que cela t'aides!!!
English Translation
Gabriel notes on a timeline important family events. It uses positive or negative integers. To write a date before his birth, he uses negative numbers and for a date after his birth, positive numbers. For example, Gabriel's mother received a medal in the year -20 and Gabriel's sister was born in the year + 5. What does the year 0 represent? Answer:
A) The year when Gabriel's sister was born
B) The year when Gabriel was born
C) The year when Gabriel's mother received a medal
Solution
It was stated in the question that Gabriel recorded tge events in their lives relative to when he came into the picture. With noticeable examples given to illustrate that the negative numbers indicate times before Gabriel's birth and positive numbers indicate years after Gabriel's birth.
Hence, it is straighforward to see that the year 0 in relative terms to Gabriel's birth will represent the year in which Gabriel was born.
Hope this Helps!!!
A bag contains 5 blue marbles, 2 black marbles, and 3 red marbles. A marble is randomly drawn from the bag the possibility of not drawing a black marbles is? The probability of drawing a red marble is?
Answer:
3/10
Step-by-step explanation:
as the total number of marbles is 10 and the red marbles are 3 so the probability of drawing red marble will be 3/10.
Answer:
The possibility of not drawing a black marble= 4/5
The probability of drawing a red marble = 3/10
Step-by-step explanation:
Blue marbles = 5
Black marbles = 2
Red marbles = 3
Total marbles = 5 + 2 + 3 = 10
The possibility of not drawing a black marble = No of (blue + red) marbles/ Total marbles = ((5+3)/10 = 8/10 = 4/5
The probability of drawing a red marble = No of red marbles/Total marbles =3/10
The principal represents an amount of money deposited in a savings account subject to compound interest of a given rate.How much money there will be in the account after the given number of years. The principal is$5000, 5% Rate, quarterlybover a two year period.
Answer:
$5522.43
Step-by-step explanation:
The amount in an account for a principal P saved at compound interest for a duration of n years compounded with period k at an annual interest rate of r% is calculated using the formula:
[tex]A(n)=P(1+\frac{r}{k})^{nk}[/tex]
In this case:
Principal, P=$5000Interest Rate, r=5%=0.05Time, n=2 yearsPeriod, k=4(Quarterly)Therefore, the amount is:
[tex]A(n)=5000(1+\frac{0.05}{4})^{4*2}\\=5000(1+0.0125)^{8}\\=5000(1.0125)^{8}\\=\$5522.43[/tex]
The amount of money in the account at the end of the two years is $5522.43.
If 4 is added to three quarter of a number and the result is 1. Find the number.
Answer:
-4Step-by-step explanation:
Let the number be X
According to Question,
[tex]4 + \frac{3}{4} x = 1[/tex]
[tex]4 + \frac{3}{4} x - 4 = 1 - 4[/tex]
[tex] \frac{3}{4} x = - 3[/tex]
[tex]x = \frac{ - 3 \times 4}{3} [/tex]
[tex]x = \frac{ - 12}{3} [/tex]
[tex]x = - 4[/tex]
Hope this helps...
Good luck on your assignment...
The graph is of a function in the form p(t) = a • b ^t What is the function?
Answer:
p(t) = 5 × [tex]2^{t}[/tex]
Step-by-step explanation:
Use the points on the curve to evaluate a and b
Using (0, 5 ), then
5 = a[tex]b^{0}[/tex] = a × 1 ( [tex]b^{0}[/tex] = 1 ), thus
a = 5
p(t) = 5[tex]b^{t}[/tex]
Using (1, 10 ), then
10 = 5[tex]b^{1}[/tex] = 5b ( divide both sides by 5 )
b = 2
Thus
p(t) = 5 [tex]2^{t}[/tex]
The exponential function is
[tex]p(t) = 5(2^{t})[/tex]
What is exponential function?
An exponential function is defined by the formula [tex]f(x) = ab^{x}[/tex] where the input variable x occurs as an exponent. The exponential curve depends on the exponential function and it depends on the value of the x.
Where,
b>0 and b is not equal to 1.
x is any real number.
If the variable is negative, the function is undefined for -1 < x < 1.
Here,
“x” is a variable
“b” is a constant, which is the base of the function.
and a is also constant.
According to the given question
We have an exponential function
[tex]p(t) = ab^{t} ...(i)[/tex]
And from the given graph, the two points (0, 5) and (1, 10). So these points must satisfy the exponential function (i)
Substitute t = 0 and p(t) = 5 in (i)
⇒[tex]5 = a[/tex] or a = 5 ( because, [tex]b^{0} = 1[/tex] )
Again, substitute a = 5, t = 1 and p(t) = 10 in exponential function [tex]p(t) = ab^{t}[/tex]
⇒ 10 = 5[tex]b^{1}[/tex]
⇒ b = 2
Therefore, the exponential function p(t) is given by
[tex]p(t) = 5(2^{t})[/tex]
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Which best describes the dimensions of a line?
A group of students plotted the number of hours they worked weekly during the holidays and the number of hours they spent cycling. Graph shows 0 to 60 on x and y axes at increments of 10. The label on the x axis is Weekly Hours Worked, and the label on the y axis is Weekly Hours Cycling. Dots are made at the ordered pairs 10, 45 and 13, 35 and 16, 42 and 24, 32 and 26, 43 and 32, 29 and 37, 23 and 39, 27 and 42, 19 and 45, 21 and 49, 19 and 50, 12. Which statement best describes the relationship between the number of hours spent working and the number of hours spent cycling? Greater hours worked, fewer hours spent cycling. Fewer hours worked, fewer hours spent cycling. Greater hours worked, greater hours spent cycling. There is no relationship between hours spent working and hours spent cycling.
Answer:
Greater hours worked, fewer hours spent cycling.
Step-by-step explanation:
Answer:
Greater hours worked, fewer hours spent cycling.
Step-by-step explanation:
:)
In a championship basketball game, Paula Zimmerman scored twice as many points as Maria Kaminsky. If the total number of points made by both women was 51, find how many points Paula scored.
Answer:
x=34
y=17
Step-by-step explanation:
Let Paula's score be= x
Let Maria's score be=y
Given:
x=2y
x+y=51
Substitution:
2y+y=51
Formula:
2y+y=51
3y=51
y=17
x=2y
x=2(17)
x=34
Proof:
x+y=51
34+17=51
51=51
Hope this helps ;) ❤❤❤
The mean age of 8 women in an office is 20 years old. The mean age of 12 men in an office is 32 years old. What is the mean age (nearest year) of all the people in the office? Answer it please because it would be helpfull alot
Answer:
27.2
Step-by-step explanation:
The mean age of 8 women in the office is 20 years old
The mean age of 12 men in an office is 32 years old
The first step is to calculate the mean of the both the men and women in the office, that way we will be able to know the sum.
The mean of the women can be calculated by taking the sum of the value and dividing by the number
= 20+20+20+20+20+20+20+20/8
= 160/8
= 20
The mean of the men can be calculated by taking the sum of the values and dividing by the number
=32+32+32+32+32+32+32+32+32+32+32+32/12
= 384/12
= 32
Therefore, to find the mean age of people in the office we add the sum of both the men and women and divide by the total number of people in the office
= 384+160/20
= 544/20
= 27.2
Hence the mean age of people in the office is 27.2
What is the value of the rational expression when x=-2?
-7
-9
9
7
Answer:
9
Step-by-step explanation:
take the x and drop it down after that the - needs to become the postive with takes multiple and so then after tyat it needs to add the extra 1 bc if the 1
The radius of a circle is given as 10cm subject to an error of 0.2cm. the error in the area of the circle is?
Answer:
12.56 [tex]cm^2[/tex] is the error in area of circle.
Step-by-step explanation:
Given that:
Radius of the circle, r = 10 cm
Error in measurement of radius, [tex]\triangle r[/tex] = 0.2 cm
To find:
The error in area of circle = ?
Solution:
First of all, let us have a look at the percentage error in measurement of radius:
[tex]\dfrac{\triangle r}{r}\times 100 = \dfrac{0.2}{10}\times 100 = 2\%[/tex]
Now, we know that Area of a circle is given as:
[tex]A = \pi r^2[/tex]
[tex]\Rightarrow \dfrac{\triangle A}{A} \times 100 = 2 \times \dfrac{\triangle r}{r} \times 100\\\Rightarrow \dfrac{\triangle A}{A} = 4\%[/tex]
Area according to r = 10
[tex]A = 3.14\times 10^2 = 314 cm^2[/tex]
Now, error in area = 4% of 314 [tex]cm^2[/tex]
[tex]\Rightarrow \dfrac{4}{100} \times 314 = 12.56 cm^2[/tex]
So, the answer is:
12.56 [tex]cm^2[/tex] is the error in area of circle.
❗️10 points❗️
24. Find slope of the line.
A. 3/2
B. -3/2
C. -2/3
D. 2/3
Answer:
A
Step-by-step explanation:
the equation go from a negative Y value, to positive. The answer is A because it goes from (-2,-2), towards (0,1) increasing the Y value by 3, and the X by 2
Keisha wants to buy a stereo. Her mother said if Keisha saved 75% of the cost of the stereo, she would pay the other 25% and the taxes. If the cost of the stereo is $150.00, how much money does Keisha need to save?
Answer:
$112.50
Step-by-step explanation:
150x.75=112.5
Answer:
its 112.50
Step-by-step explanation:
i got it right
The temperature of a city changed by -20°C over a four week. If the temperature changed by the same amount each week write an expression to show the average change in the temperature of the week simplify the expression and explain using words what your answer means
Answer:
A) [tex]T=\frac{-20}{4}[/tex]
B) T = -5 °C
Step-by-step explanation:
A) Let T be the change in temperature of the week. T is determined as the total temperature change (-20°C) divided by the number of weeks that have passed (4 weeks). The expression is:
[tex]T=\frac{-20}{4}[/tex]
B) In order to simplify the expression, simply perform the division.
[tex]T=\frac{-20}{4}\\T=-5^oC[/tex]
This means that the temperature has dropped by 5 degrees each week.
Can someone help me please
Answer: y = 6
Step-by-step explanation:
A square's area can be done by using s^2, where s is y in this case. Because there are 5 squares, the area of the figure is 5y^2. Because the area is also 180cm, 5y^2=180.
Then divide both sides of the equation by 5 to get y^2 = 36. Then square root both sides of the equation to get y = 6.
Hope it helps <3
Which one of the following gives the gradient of the line shown above?
A: 3/2
B: -2/3
C: 2/3
D: 6
E: -3/2
Answer: A: 3/2
Step-by-step explanation:
When we have a line that passes through the points (x1, y1) and (x2, y2), the slope of this line is:
s = (y2 - y1)/(x2 - x1)
In this graph we can see that the line passes through the points:
(0, - 3) and (2, 0)
Then the slope is:
s = (0 - (-3))/(2 -0) = 3/2
Then the correct option is A.
The gradient of the line shown above is A: [tex]\frac{3}{2}[/tex]
Slope of the line that passes through two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is :
slope [tex]=\frac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]
Now, from the given graph we can see that the line passes through the points:
(0, - 3) and (2, 0)
The slope is:
[tex]s = \frac{(0 - (-3))}{(2 -0)} \\=\frac{3}{2}[/tex]
Therefore the correct option is A.
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-8÷2+12x9-4x6
56 + 7x2
[tex]\huge\textbf{Hey there!}[/tex]
[tex]\huge\textsf{Question \#1.}[/tex]
[tex]\mathbf{-8\div2 + 12 \times9 - 4\times6}\\\mathbf{= -4 + 12\times9 - 4\times6}\\\mathbf{= -4 + 108 - 4\times6}\\\mathbf{= 104 - 4\times6}\\\mathbf{= 104 - 24}\\\mathbf{= 80}[/tex]
[tex]\huge\textsf{Therefore, your answer is: \boxed{\mathsf{80}}}\huge\checkmark[/tex]
[tex]\huge\textsf{Question \#2.}[/tex]
[tex]\mathbf{56 + 7\times2}\\\mathbf{= 56 + 14}\\\mathbf{= 70}[/tex]
[tex]\huge\text{Therefore, your answer is: \boxed{\mathsf{70}}}\huge\checkmark[/tex]
[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]Find the area of the triangle. A. 17.7 B. 6.1 C. 8.1 D. 21.4
Answer:
17.7
Step-by-step explanation:
Area of a triangle is 1/2×L×B
since a degree is given we are to multiply it with it and we are to use SIN
so 1/2×sin65×4.5×13.1
sin65= 0.6018
so 1/2×0.6018×4.5×13.1
=35.47/2
=17.7
The area of the triangle is 17.7 square inches option (A) 17.7 is correct.
What is the triangle?In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.
We know,
The area of the triangle:
A = ab(sinx)/2
a = 13.1 cm, b = 4.5 cm, x = 37 degrees
A = 13.1×4.5(sin37)/2
A = 29.475sin37
A = 17.7 square inches
Thus, the area of the triangle is 17.7 square inches option (A) 17.7 is correct.
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The triangles shown below must be congruent.
A. True
B. False
Answer:
true
Step-by-step explanation:
one and two third minus tow and one third?
Answer:
-2/3
Step-by-step explanation:
Step 1: Write out expression
1 2/3 - 2 1/3
Step 2: Convert to improper fractions
5/3 - 7/3
Step 3: Subtract
-2/3
Answer:
[tex]\frac{-2}{3}[/tex]
Step-by-step explanation:
[tex]1 \frac{2}{3} - 2\frac{1}{3} \\\\[/tex]
[tex]\frac{5}{3} - \frac{7}{3} = \frac{-2}{3}[/tex]
Hope this helps! :)
Zack bought 5 blue ties and 4 red ties. He will choose one at random to wear tomorrow. Find the probability that Zack will choose a red tie. Convert the fraction to a decimal. Round to three decimal places.
Answer:
0.444
Step-by-step explanation:
The total number of ties is 9, and there are 4 red ones.
So, the probability of choosing a red tie is 4/9.
4/9 = 0.444 as a decimal
Is it point A Point C Point H or Point L
Answer:
Step-by-step explanation:
La vaca
El pato
Answer:
L
Step-by-step explanation:
You need to find a point with a large x-coordinate and small y-coordinate or the reverse. Look at point L, (8, 1).
8 - 1 = 7
That is the largest difference between the coordinates of the points shown in the graph.
please simplify this
Answer:2a√(15a)
Step-by-step explanation:√(60a)=√(2×2×3×5×a×a×a)=2a√(15a)