Answer:
Equation of line passing through (3,2) and parallel to line [tex]y = \frac{1}{3}x-3[/tex] is:
[tex]y = \frac{1}{3}x+1[/tex]
Step-by-step explanation:
Given equation of line is:
[tex]y = \frac{1}{3}x-3[/tex]
Slope-intercept form of a line is given by:
[tex]y = mx+b[/tex]
Comparing the given equation of line with general form we get
m = 1/3
Let m1 be the slope of line parallel to given line
Then the equation of line will be:
[tex]y = m_1x+b[/tex]
We know, "Slopes of two parallel lines are equal"
Which means
[tex]m_1 = m\\m_1 = \frac{1}{3}[/tex]
Putting the value of slope
[tex]y = \frac{1}{3}x+b[/tex]
Putting the point (3,2) in the equation
[tex]2 = \frac{1}{3}(3)+b\\2 = 1+b\\b = 2-1\\b = 1[/tex]
Final equation of line is:
[tex]y = \frac{1}{3}x+1[/tex]
Hence,
Equation of line passing through (3,2) and parallel to line [tex]y = \frac{1}{3}x-3[/tex] is:
[tex]y = \frac{1}{3}x+1[/tex]
56 bananas Is what percent of
80 bananas?
Answer:
70%
Step-by-step explanation:
Branlist please!
Answer:
56 bananas Is what percent of
80 bananas?
56/80x100
=70%
Please provide the answer and an explanation.
Answer:
A = 37.1 square cm
Step-by-step explanation:
Composite Figures
The image shows a figure that can be seen as a composition of three regular shapes: two identical rectangles and a quarter of a circle.
The area of a rectangle of dimensions W and L is:
Ar = WL
And the area of a circle of radius r is:
[tex]Ac =\pi r^2[/tex]
A quarter of a circle has an area of:
[tex]\displaystyle A_q =\frac{\pi r^2}{4}[/tex]
The rectangles have dimensions of 5 cm by 3 cm, thus the area is:
Ar = 5 cm * 3 cm = 15 square cm
The quarter of a circle has a radius of r=3 cm, its area is:
[tex]\displaystyle A_q =\frac{\pi 3^2}{4}[/tex]
Calculating:
[tex]\displaystyle A_q =7.07\text{ square cm}[/tex]
The total area is twice the area of each rectangle plus the area of the quarter of a circle:
A = 2*15 + 7.07
A = 37.07 square cm
To the nearest tenth:
A = 37.1 square cm
5h=srt solve for t please help
Answer:
5h/sr=t
Step-by-step explanation:
To get t alone basically all you do is divide 5h by s and r.
So the new equation would be 5h / sr = t
Can someone help me with this and make sure to explain (8th grade math)
____________________________
1.) To find lateral surface the formula is: [tex]2[/tex]π[tex]r[/tex] × [tex]h[/tex][tex]2[/tex]π[tex]7[/tex] × [tex]10[/tex]2.) Solve:[tex]2[/tex]π[tex]7[/tex] × [tex]10=439.822972[/tex]____________________________
Liam wants to buy a Nintendo Switch. The Switch costs $350 plus tax. He has $380. If tax is 9%, will he have enough to buy the Switch?
Step-by-step explanation:
I'm not a 100 % sure but 350.00 x 0.06 =21 so 350 +21 = 371.00
Answer:
No
Step-by-step explanation:
Switch=$350 + tax = ???
Liam's Money= $380
350*9/100=tax
tax=$31.50
350+31.50=$381.50
that's how much he would need to pay: 381.50
so:
no he won't have enough money. he's 1.50 short
Someone pls help what would this slope be ?
Answer:
-3/5x
Step-by-step explanation:
It is a negative slope and use rise over run
plz helpppppppppppp me asap
Answer:
x = 11, CD = 74, DE = 74, and CE = 37
Step-by-step explanation:
9x-25 = 6x+8
3x - 25 = 8
3x = 33
x = 11
CD = 9x - 25 = 99 - 25 = 74
DE = 6x+8 = 66 + 8 = 74
CE = 10x - 73 = 110 - 73 = 37
1.36 as a fraction help
Answer: 34/25
Step-by-step explanation:
(136÷4)(100÷4) = 34/25 when reduced to the simplest form. As the numerator is greater than the denominator, we have an IMPROPER fraction,
Answer:
The answer is 1 [tex]\frac{9}{25}[/tex]
Jerry has a garden that has a length of 30 feet and a width of 10 feet. Fertilizer is on sale for $2 per bottle. If each bottle covers 25 square feet, how much will it cost to fertilize the whole garden?
Answer: $50
Step-by-step explanation:
30 × 10 = 40 ft² [garden area]
40 ÷ 25 = 1.6
1.6 ≈ 2
For the area of the entire garden, you need to buy two bottles of fertilizer.
25 × 2 = 50 [fertilization cost for the whole garden]
Which statement shows the correct value for the exponential expression 6^3?
A. 6x6x6x6 = 1296
B. 6x6x6 = 216
C. 3x3x3x3x3x3 = 729
D. 6x3 = 18
I need help plz! If anyone knows, I would truly appreciate it! Thank uuu!!!!^^
(5 screenshots included)
Answer:
pic1 a pic2 d
Step-by-step explanation:
i did this
Please help me
I need this ASAP
PLEASE HELP ME
Answer:
180 X 365 = 65700 litres
65700/1000 = 65.7 cubic metres
65.7 X 91.22 = 5993.154
5993.154 / 100 = 59.93154
59.93 + 28.20 = 88.13
yes Henry should have a water meter
I’ll mark you a branilyst if you answer this question
Answer:
The answer is 8 cm, i would show work but im in school
omg help me asap my lesson is timed!
Answer:
-27w^9
Step-by-step explanation:
Multiply
-3w^8 × 9w
Step 1:
-3 × 9
= -27
Step 2:
w^8 × w¹
Using the law of indices
w^8 × w¹
= w^(8+1)
= w^9
-3w^8 × 9w
= -27w^9
i need help on the botto that says What is the cost of buying 10 tickets?
Answer:
305$
Step-by-step explanation:
305 because if it costs 61 dollars for 2 tickets and 61/2 30.5. 30.5*10=305
PLEASE I NEED HELP!!!!!!!!!
Answer: Its 5 1/12 hope this helped!!!
Answer
Answer = 278/63 as in the pic
The radius of a circle is 4 inches. What is the area of a sector bounded by 180° arc?
Answer:
Step-by-step explanation:
If you're asking for the area of the sector, it's the central angle of 360, times the area of the circle, for example, if the central angle is 60, and the two radiuses forming it are 20 inches, you would divide 60 by 360 to get 1/6.
The requried area of a sector bounded by a 180° arc is 8π square inches.
What is an area of the sector?The area of a sector is a portion of the circle enclosed by two radii and an arc and is given by the formula A = (θ/360)πr², where θ is the angle in degrees and r is the radius of the circle.
Here,
The area of a sector bounded by a 180° arc in a circle with a radius of 4 inches can be found using the formula;
A = (θ/360)πr²
Where θ is the angle in degrees and r is the radius.
Since the angle is 180°, we have:
A = (180/360)π(4²) = 8π square inches.
Thus, the area of a sector bounded by a 180° arc is 8π square inches.
Learn more about the area of sectors here:
https://brainly.com/question/7512468?
#SPJ3
Pls pls pls help!! And thank you I’m stuckk
Answer:
C = 12π
Step-by-step explanation:
The circumference (C) of a circle is calculated as
C = πd ( d is the diameter )
Here d = 12, then
C = 12π
If a necklace has a 10% increase so its £154 pound what was the price before the increase.
HELPPPPPP pllllzzz BRAINLIESTTTTT
Choose the inequality symbol (>,
<
=
Step-by-step explanation:
mmm whats the question though
they are all inequality symbols
HELPPP PLS I DON’T UNDERSTAND
Answer:
a.
[tex]h=\dfrac{2A}{b}[/tex]
b.
A = 220 mm²
b = 20 mm
[tex]h=\dfrac{2 \cdot 220}{20}=22 \: {mm}[/tex]
Answer:
A=1/2bh
2*A=1/2bh*2
2A/b=bh/b
h=2A/b
b)h=2(220)/20
height=22mm
Step-by-step explanation:
Write 14 x 14 x 14 as a power.
Answer:
14^3
Step-by-step explanation:
You put the base number to the power of how many numbers are there.
Answer:
14^3 aka 14 to the 3rd power
Step-by-step explanation:
The area of a rectangle is 588 in^2. The ratio of the length to the width is 4:3. Find the length and the width
Answer:
Length is 336 in, width is 252 in
Step-by-step explanation:
Divide 588 by 7 which equals 84. Since this one-seventh, and the given ratio is 4:3, multiply 84 by 4 for the length and 84 by 3 for the width.
The length and the width of the rectangle are 28 in and 21 in, respectively.
What is the area of the rectangle?The area of a rectangle is defined as the product of the length and width.
The area of a rectangle = L × W
Where W is the width of the rectangle and L is the length of the rectangle
Let's assume the length of the rectangle is 4x, and the width is 3x, where x is a common factor.
The area of a rectangle is given by the formula:
Area = Length × Width.
Given that the area is 588 in², we can set up the equation:
(4x)(3x) = 588
12x² = 588
Dividing both sides of the equation by 12:
x² = 588 / 12
x² = 49
Taking the square root of both sides:
x = √49
x = 7
So, x = 7.
Now we can find the length and width:
Length = 4x = 4(7) = 28 inches
Width = 3x = 3(7) = 21 inches
Therefore, the length of the rectangle is 28 inches, and the width is 21 inches.
Learn more about the Area of the rectangle here:
brainly.com/question/20693059
#SPJ2
1. The difference of five times a number and 6 is -2.
Answer:
13
Step-by-step explanation:
5-x+6=-2
X=13
if ur right I'll give u brainliest
Answer:
D
Step-by-step explanation:
only b and d have the equation equal on both sides
and only D has it that 5 is the hypotenuse, and the opposite angle is 90 degrees
Answer:
D
Step-by-step explanation:
i just took the test hope this helps
Elijah walked 6 miles in 3 hours.what was his walking rate in hours per miles?
Answer:
2 Miles per hour
Step-by-step explanation:
velocity (speed) formula is distance/time.
In this case, 6/3=2
A shoe store buys a shipment of nike shoes that cost $70 each to the purchases. They want to markup their prices for the customers by 30%. How much would the customer pay for a pair of nikes
Given :
A shoe store buys a shipment of Nike shoes that cost $70 each to the purchases.
They want to markup their prices for the customers by 30%.
To Find :
How much would the customer pay for a pair of Nikes.
Solution :
C.P = $70 .
It is given that selling price is 30% more than the S.P.
So, S.P = C.P + C.P×0.30
S.P = C.P×1.30
S.P = 70×1.30
S.P = $91.
Therefore, the customer would pay $91 for a pair.
PLZ ANSWER
What patterns do you see in the pairs of numbers? Which is the greater number in each pair? Explain how you know.
a) 2 3 or 3 2
b) 2 5 or 5 2
c) 3 4 or 4 3
d) 5 4 or 4 5
An initial investment grows at an annual interest rate of 5% compounded continuously. How long will it take to double the investment?
A.) 1 year
B.)13.86
C.)14.86
D.)13.40
E.)14.40
Answer:
e, i think 14.40
Step-by-step explanation:
6 = m/8 Solve the equation.
[tex]6=\frac{m}{8}\\x=48[/tex]
