Answer:
y = 3x + 12
Step-by-step explanation:
Slope of y = 3x + 5 is 3
Line parallel will have same slope 3
Line intersects point at (-2, 6)
Replace into y = mx + b to find
6 = 3(-2) + b
6 = -6 + b
12 = b
Equation of line:
y = 3x + 12
Answer:
y = 3x + 12
Step-by-step explanation:
Lines parallel to each other will have the same slope but different y-intercepts. This means that the equation of this parallel line has a slope of 3.
y = 3x + b
Now we need to find the y-intercept by plugging in the point (-2, 6) into the equation. (Replace x with -2 and y with 6.) Then we solve it.
y = 3x + b
6 = 3(-2) + b
6 = -6 + b
+6 +6
12 = b
The y- intercept is 12. So the equation of the parallel line is y = 3x + 12
I need help with this question it’s due today!
Answer:
15
Step-by-step explanation:
4:5
4 x 3 = 12 girls
5 x 3 = 15 boys
12:15
Answer:
D. 15
Step-by-step explanation:
4:5
4/5×3/3=12/15
12/15.....12 girls, 15 boys
:) ur welcome
classify the expression: 5x-4
need this ASAP! Thank you!
Answer:
[tex]\displaystyle r = 6 \ cm[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityGeometry
Volume of a Cone Formula: [tex]\displaystyle V = \frac{\pi}{3}r^2h[/tex]
r is radiush is heightStep-by-step explanation:
Step 1: Define
Identify variables
V = 120π cm³
h = 10 cm
Step 2: Solve for r
Substitute in variables [Volume of a Cone Formula]: [tex]\displaystyle 120\pi \ cm^3 = \frac{\pi}{3}r^2(10 \ cm)[/tex]Multiply: [tex]\displaystyle 120\pi \ cm^3 = \frac{10\pi}{3}r^2 \ cm[/tex][Division Property of Equality] Divide [tex]\displaystyle \frac{10\pi}{3} \ cm[/tex] on both sides: [tex]\displaystyle 36 \ cm^2 = r^2[/tex][Equality Property] Square root both sides: [tex]\displaystyle 6 \ cm = r[/tex]Rewrite: [tex]\displaystyle r = 6 \ cm[/tex]Answer:
Radius of cone is 6 cm
Step-by-step explanation:
[tex]\sf\small\underline\purple{Given:-}[/tex]
[tex]\sf{\leadsto Volume\:_{(cone)}=120π \:cm^3}[/tex]
[tex]\sf{\leadsto \: Height\:_{(cone)}=10 cm}[/tex]
[tex]\sf\small\underline\purple{To\: Find:-}[/tex]
[tex]\sf{\leadsto Radius\:_{(cone)}=?}[/tex]
[tex]\sf\small\underline\purple{Solution:-}[/tex]
To calculate the radius of cone . Simply by applying formula of volume of cone. As given in the question that height is 10 cm and it's volume is 120 π cm³.
[tex]\sf\small\underline\purple{Calculation\: begin:-}[/tex]
[tex]\sf{\leadsto Volume\:_{(cone)}=\dfrac{1}{3}\pi\:r^2\:h}[/tex]
[tex] \small \sf \leadsto volume \: of \: cone \: = \frac{1}{3} \pi \times r {}^{2} h \\ [/tex]
[tex] \small \sf \leadsto \: 120 π cm³ \: = \frac{1}{3} \times\pi r {}^{2} \times 10cm \\[/tex]
[tex] \small \sf \leadsto \: 120 π cm³ \: = \frac{10 \: \pi\: cm}{3} \: r {}^{2}[/tex]
[tex] \small \sf \leadsto \frac{ 120\pi \: cm {}^{3} \times 3}{10\pi \: cm} \: = r {}^{2} \\ \\ [/tex]
[tex] \small \sf \leadsto \frac{360\pi cm {}^{3} }{10\pi \: cm} = \: r {}^{2} \\ [/tex]
[tex]\small \sf \leadsto 36 \:cm {}^{2} = r {}^{2} [/tex]
[tex]\small \sf \leadsto \sqrt{36 \: cm {}^{2} } = \sqrt{r {}^{2} } [/tex]
[tex]\small \sf \leadsto6cm = r[/tex]
Find the area of this circle.
Use 3.14 to approximate .
A = ar2
14 ft
A = [ ? ] ft?
Answer:
A =153.86 ft^2
Step-by-step explanation:
First we need to find the radius
f = d/2 = 14/2 = 7
A = pi r^2
A = 3.14 ( 7)^2
A = 3.14 * 49
A =153.86 ft^2
Solve: log2(3x + 8) = 5 Which is an equivalent equation?
Answer: 5/log (8) - 8/3
Step-by-step explanation:
Answer:
A:2^5=3x + 8 /x=8/The next part is B.x3=64 /x=4
Step-by-step explanation:
I just did it hope this helps
Someone help me please & Thankyouu I appreciate it!
Answer:
The height is 10inches.
Step-by-step explanation:
[tex]A = \frac{1}{2}bh\\\\2A = 2 \times \frac{1}{2} bh \ \ \ \ \ \ \ [ \ multiply \ both \ sides by \ 2 ] \\\\2A = bh\\\\\frac{2A}{b} = \frac{bh}{b} \ \ \ \ \ \ \ \ [ \ dividng \ both \ sides \ by \ b ] \\\\\frac{2A}{b} = h[/tex]
[tex]\frac{2 \times 60 } {12} = h\\\\\frac{120}{12} = h\\\\10 = h[/tex]
A crane has a cable with breaking strain 6400 kg it's used to lift crates weighing 90kg what's the greatest number of crates that can safely be lifted at one time without breaking the cable
Answer: 71 crates
Step-by-step explain:
6400/90 = 71. something but you cannot lift a decimal of a crate hence the answer being 71!
= 71 crates
What is the approximate area of a circle with a radius of 6 m?
O A. 28.3 m2
O B. 18.8 m2
O c. 113 m2
O D. 38 m2
ID
Answer:
c. 113 m^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
Using 3.14 as an approximation for pi
A = 3.14 ( 6)^2
A = 3.14 *36
A =113.04
Please help don’t understand at all.
Answer:
tringlae mixed witha football goal take the fool goal out and go from there
Step-by-step explanation:
Help and explain please :)))))))
Answer:
f(4.7) = 13.1
Step-by-step explanation:
essentially this is just 3x-1
plug in 4.7 for x... 3*4.7 = 14.1 then subtract 1 =
13.1
the issue is the || absolute value...
if the "X" x value is NEGATIVE in the problem, just remove the negative sign...
in other words f(-4.7) = 3(4.7) - 1
Answer:
13.1
Step-by-step explanation:
f(x) = 3|x|- 1, x= 4.7
f(4.7) = 3|4.7|- 1 *replace x with 4.7
= 14.1 - 1. *multiply 3 x 4.7
= 13.1. *subtract 1 from. 14.1
Hello there, I need help with Angles.
Which property is shown in the matrix addition below?
0 -5.5
0
5.5
0
0
6
19.4 +-6
-6 -19.4
0
0
0
0
0
0
0 0
Answer:
additive inverse properties
Help me pls quick with the right answer
Answer:
Yes
Step-by-step explanation:
Every time the sugar goes up by 1/3 or by three it keeps the same raito
What common base can be used to rewrite each side of the equation 2^x+3-3-5?
A2
B3
C5
D8
simplify (csc x)^2 - 1
Answer:
Step-by-step explanation:
[tex](cscx)^2-1=\frac{1}{sin^2 x} -1\\=\frac{1-sin^2x}{sin^2x} \\=\frac{cos^2x}{sin^2x} \\=(cotx)^2[/tex]
[tex]\sqrt{x} 4[/tex]
Answer:
[tex]x^{2}[/tex]
Step-by-step explanation:
Mr Li is four times as old as his son. In five years time, the sum of their ages will be 60 years. How old are they now?
Answer:
Mr Li is now 40 years old
his son is now 10 years old
Step-by-step explanation:
x = age Li
y = age son
x = 4y
x+5 + y+5 = 60
x + y + 10 = 60
x + y = 50
4y + y = 50
5y = 50
y = 10
x = 4y = 4×10 = 40
Help me
Is not an exam is a activity
Answer:
B. y= -2x +2
Step-by-step explanation:
the slope is negative 2 and the point where the line crosses the y-int is 2
HELPPP URGENT!!!
The lowest airport in the world is Atyrau Airport in Kazakhstan. Its
runway is 72 feet below sea level. A passenger in a small airplane on
the runway holds her phone exactly 4 feet above the runway. What
is the elevation of her phone? Use a negative sign where appropriate,
and don't include units when typing in the secret answer.
Your answer:
Answer:
-68ft, or 68ft below sea level
Step-by-step explanation:
-72+4=-68
Sarah makes 5 ribbons the first day. On the second day she doubles the number of
ribbons made in the first day. On the third day she doubles the number what she made
on the second day. How many ribbons has she made on the third day?
I believe your answer is 20
Step-by-step explanation: When you double 5, you get 10, which would be the amout of ribbons she made on the second day, if you double 10, you get 20.
I hope this helps!
Viết các lũy thừa sau dưới dạng một lũy thừa hoặc các tích các lũy thừa có số nguyên và số nguyên A.8 mũ 2 B. 654
Step-by-step explanation:
câu trả lời là trong hình ảnh trên
What is the surface area of the rectangular prism below?
Answer:
108 in.
Step-by-step explanation:
SA = 2(lw + wh + lh)
SA = 2((6)(4) + (4)(3) + (6)(3)
SA = 2(24) + (12) + (18)
SA = 2(54)
SA = 108 in.
Answer:
108
Step-by-step explanation:
Is triangle XYZ = ABC ? If so, name the postulate that applies. A. Congruent - ASA B. Congruent - SAS C. Might not be congruent D. Congruent - SSS
Answer:
Option D
Step-by-step explanation:
If two triangles are said to be congruent then they have exactly the same three sides and the same three angles.
Since the option D indicates that all the three sides are equal (represented as SSS), Hence, it is the right answer
Answer:
congruent SAS
Step-by-step explanation:
In △FGH, L is the centroid. If LK = 19, find GL
Answer:
GL = 38
Step-by-step explanation:
On each median the distance from the vertex to the centroid is twice as long as the distance from the centroid to the midpoint, that is
GL = 2 LK = 2 × 19 = 38
Answer:
the centroid has special featuresfor this
Step-by-step explanation:
the rate of long must be like this [GL]=2[LK]
we can say that our answer is 38 easily
The equation of the circle having center (5, 4) and touching y-axis is
A. x 2 + y2 – 10x – 8y + 25 = 0
B. x 2 + y2 – 5x + 4y + 8 = 0
C. x 2 + y2 – 5x + 4y + 8 = 0
D. x 2 + y2 – 42 – 5y + 10 = 0
Answer:
None Of the Above.
Step-by-step explanation:
As we know that the general equation of circle is
( x - h )^2 + ( y - k )^2 = r^2
putting h=5 and k= 4 and r= 5
x² + 25 - 10x + y² +16 - 8y = 25
x² + y² - 10x - 8y + 16 = 0 is the answer.
I got this answer from Gauthmath its a really cool new app having solutions from tutor. Just scan questions and you can get answers from tutor.
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( 3 1 ) 2 +3 2 =left parenthesis, start fraction, 1, divided by, 3, end fraction, right parenthesis, squared, plus, 3, squared, equals
Answer:
I guess that we have the equation:
(1/3)^2 + 3^2 =
And we want to solve it.
Here just remember that:
3^2 = 3*3 = 9
then:
(1/3)^2 = (1/3)*(1/3) = 1/9
replacing these in the expression, we get:
(1/3)^2 + 3^2 = 1/9 + 9
If we want to write this as a single fraction, we can rewrite:
1/9 + 9 = 1/9 + (9/9)*9
= 1/9 + 81/9 = (1 + 81)/9 = 82/9
The solution to the equation is 82/9. The equation is: [tex](1/3)^2 + 3^2.[/tex]Calculate the square of [tex](1/3): (1/3)^2 = 1/9[/tex]
Calculate 3 squared:
[tex]3^2 = 9[/tex]
Now, substitute these values back into the original equation:
[tex](1/3)^2 + 3^2 = 1/9 + 9[/tex]
To add these fractions, you need a common denominator. In this case, the common denominator is 9:
1/9 + 81/9 = (1 + 81)/9 = 82/9
So, the solution to the equation is 82/9.
To know more about equation:
https://brainly.com/question/14603452
#SPJ3
Complete question is:
Solve the equation: (1/3)^2 + 3^2 =
Anyone know the answer?
Answer:
565.6854249 without rounds
Answer:
Step-by-step explanation:
Well, the area is 400m^2 so we know each side is 20 feet long. Then with that we can make a 40deg 40deg 90deg triangle with the side lengths 20, 20, and x. So, the proportion would be 20/1=x/rad2. This gives us x=28.28, so the fence is 28.28m long. Hope this helps :))
construct triangle ABC such that AB =7cm,AC=5cm,and angle BAC=60°.Measure BC.
Answer:
(i) Steps of Construction :
(i) Draw a line segment AB = 7 cm.
(ii) At B, draw a ray making an angle of 60° and cut off BC = 5 cm
(iii) Join AC,
∆ABC is the required triangle.
(ii) Steps of Construction :
(i) Draw a line segment BC = 6 cm.
(ii) At C, draw a ray making an angle of 75° and cut off CA = 5.7 cm.
(iii) Join AB
∆ ABC is the required triangle
(iii) Steps of Construction :
(i) Draw a line segment AB = 6.5 cm
(ii) At A, draw a ray making an angle of 45° and cut off AC = 5.8 cm
(iii) Join CB.
∆ ABC is the required triangle.
can you help me with these questions
Answer:
Girls: 50
Boys: 36
A) 60°
Step-by-step explanation:
86-14=72
72÷2=36
Girls=36+14=50
Boys=36
115+115+70=300
360-300=60°
Answer:
36 boys and 50 girls
the remaining angle measures 60°
Step-by-step explanation:
x = boy count
x + 14 = girl
x + x + 14 = 86
2x + 14 = 86
2x = 72
x = 36
x + 14 = 50
36 boys and 50 girls
the 4 angles of a quadrilateral = 360°
115° + 115° + 70° + x = 360°
300 + x = 360°
x = 360 - 300
x = 60°
The remaining angle measures 60°
Lincoln is saving $360 to buy a new bike. He already has $85 and can earn $12 per hour at work. Which of the following equations describes the number of hours, h, for which Lincoln must work to earn enough money to buy the new bike?
Answer:
85 + 12w =360
Step-by-step explanation: