Answer:
Step-by-step explanation:
3x-4y-15=0
Geometric figure: Straight Line
Slope = 1.500/2.000 = 0.750
x-intercept = 15/3 = 5
y-intercept = 15/-4 = -3.75000
Step by step solution :
Step 1 :
Equation of a Straight Line
1.1 Solve 3x-4y-15 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 3x-4y-15 = 0 and calculate its properties
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 15/-4 so this line "cuts" the y axis at y=-3.75000
y-intercept = 15/-4 = -3.75000
Calculate the X-Intercept :
When y = 0 the value of x is 5/1 Our line therefore "cuts" the x axis at x= 5.00000
x-intercept = 15/3 = 5
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -3.750 and for x=2.000, the value of y is -2.250. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -2.250 - (-3.750) = 1.500 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 1.500/2.000 = 0.750
Geometric figure: Straight Line
Slope = 1.500/2.000 = 0.750
x-intercept = 15/3 = 5
y-intercept = 15/-4 = -3.75000
Hope This Helps!!!
math. please help..with working
Answer:
[tex]\text{(C) }300\pi\:\mathrm{cm^3}[/tex]
Step-by-step explanation:
The volume of a cylinder with radius [tex]r[/tex] and height [tex]h[/tex] is given by [tex]V=r^2\pi \cdot h[/tex].
What we're given:
[tex]r[/tex] of 5 cm[tex]h[/tex] of 12 cmSubstituting given values, we get:
[tex]V=5^2\pi \cdot 12 =\boxed{300\pi\:\mathrm{cm^3}}[/tex]
Answer:
c
Step-by-step explanation:
The formula for the volume of a cylinder is [tex]V=\pi r^2h[/tex]
We know r is 5, and h is 12.
Then we can just plug the values into the formula.
[tex]V=\pi (5)^2(12)\\ V=\pi (25)(12)\\\V=\pi (300)[/tex]
So the answer is c, 300pi
Two cables are attached to a 30-foot wall and a 22-foot wall. If the tie down for the cables is located in the center of a 40-foot wide alley between the two walls, what is the angle \thetaθ that is formed between the cables? Round your answer to the nearest whole number.
Answer:
76°
Step-by-step explanation:
Applying trigonometry :
Angle x ;
Tan x = opposite / adjacent
Tan x = (30/20)
x = tan^-1(30/20)
x = 56.31°
Angle y;
Tan y = opposite / adjacent
Tan y = (22/20)
x = tan^-1(22/20)
x = 47.73°
The angle θ ;
Sum of angles in a straight line = 180
56.31 + 47.73 + θ = 180°
θ = 75.96°
Which expression is equivalent to (3x2 – 2x + 6 ) + ( 3x - 4)?
Answer:
3×2-2x + 6 + 3x - 4
-2x +3x + 3 × 2 +6-4
x + 8what is 9/7 - 1/6= answer
Answer:
tht's just the answer
Step-by-step explanation:
9/7 is equal to 54/42 and 1/6 is equal to 7/42
54/42 - 7/42 is equal to 47/42
Answer:
47/42
Step-by-step explanation:
First, we make both fractions have the same denominator. The LCM of 6 and 7 is 42.
9/7 * 6/6 = 54/42
1/6 * 7/7 = 7/42
54/42 - 7/42 = 47/42
Mrs. Terry's class has 28 students. The class includes 12 boys. What is the
ratio of girls to boys? (remember to simplify)
3:4
3:7
4:3
7:3
Answer: 4:3.
Step-by-step explanation:
The original answer is 16:12. But, when it's simplified, it's 4:3
Answer:
4:3
Step-by-step explanation:
28-12 the boys
16=girls
ratio; 16=12
g=b
simplify 16=12
4=3
Simplify: (4 – 5) – (13 – 18 + 2).
(4 – 5) – (13 – 18 + 2).
= -1-(13+2-18).
= -1-(15-18).
= -1-(-3).
= -1+3.
= 2.
Answer:
the answer is 3
Step-by-step explanation: ik
If f(x) = 2x - 1, find f'(x).
Answer:
f'(x)=2
Step-by-step explanation:
[tex]if~y=ax^n\\where~a~is~constant.\\\frac{dy}{dx} =a nx^{n-1}\\f(x)=2x-1\\f'(x)=2*1x^{1-1}-0\\=2x^0\\=2*1\\=2[/tex]
p l e a s e h e l p
(Only spaced it cus I needed 20 characters, danke)
Answer:
y = 63
Step-by-step explanation:
A straight line is equal to 180 degrees.
180 = 2y - 18 + y + 9
180 = 3y -9
189 = 3y
189/3
y = 63
Answer:
63
Step-by-step explanation:
2y-18+y+9=180 degrees
3y-9=180 degrees
3y=189 degrees
y=63 degrees
The number of subsets that can be created from the set {1, 2, 3} is:
Answer:3
Step-by-step explanation:
Answer:
Step-by-step explanation:
Subset : {} ; {1} ; {2} ; {3} ; {1,2} ; {2,3} ; {1, 3} ; {1,2,3}
Number of subsets = 8
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
28[tex]\pi[/tex] in
Step-by-step explanation:
The circumference of a circle is [tex]2\pi r[/tex] in which [tex]r[/tex] represents radius.
[tex]2\pi[/tex]×14 = 28[tex]\pi[/tex] in
Answer:
[tex]circumference \: of \: the \: circle = 2\pi \times radis[/tex]
[tex] = 2 \times \frac{22}{7} \times 14[/tex]
[tex] = \frac{11}{1} \times 2[/tex]
[tex] = 11 \times 2[/tex]
[tex]22cm[/tex]
Here is a formula 5t+3=4w(t+2) rearrange the formula to make t the subject
Answer: [tex]t=\frac{8w-3}{-4w+5}[/tex]
Step-by-step explanation:
Ok let's solve for t
[tex]5t+3=4w(t+2)\\[/tex]
First let's use the distributive property
[tex]5t+3=(4w)(t)=(4w)(2)\\5t+3=4tw+8w[/tex]
Now let's subtract 4tw to both sides
[tex]5t+3-4tw=4tw+8w-4tw\\-4tw+5t+3=8w[/tex]
Next we'll subtract 3 on both sides
[tex]-4tw+5t+3-3=8w-3\\-4tw+5t=8w-3[/tex]
We can now factor out the variable t
[tex]t(-4w+5)=8w-3[/tex]
Now we can divide both sides by -4w+5 giving us our answer
[tex]\frac{t(-4w+5)}{-4w+5} =\frac{8w-3}{-4w+5} \\t=\frac{8w-3}{-4w+5}[/tex]
URGENT!!!!!!
500 sheets of paper is 6.5 cm thick. How thick is a pile of 350 sheets of the same paper?
Answer:
4.55
Step-by-step explanation:
step 1. 6.5 / 500 = .013
step 2. .013 X 350 = 4.55
Hope this helps
Need help with this!!! Only have a few minutes left!!!
Answer:
Step-by-step explanation:
Please help thanks! Brainliest
Answer:
-10
Step-by-step explanation:
[tex]\frac{9^{2} -21}{-6} \\=-\frac{81-21}{6} \\=-\frac{60}{6} \\=-10[/tex]
Jessica wants to make tarts. To make tarts, she needs ¾ of a cup of flour per batch of tarts. If Jessica has 9 cups of flour, then how many batches of tarts can Jessica make?
Answer:
108
Step-by-step explanation:
Jesicca wants to make tarts
She uses 3/4 cup of flour per batch
Jessica has 9 cups of flour hence the number of batches she will make can be calculated as follows
= 9÷ 3/4
= 9÷ 0.75
= 12
= 12×9
= 108
Hence Jessica will make 108 batches of tart
What is the average rate of change for this exponential function for the interval from x = 2 to x = 4?
Answer:
The average rate of change over the interval is 120
Step-by-step explanation:
For a function f(x) the average rate of change over an interval [a,b] is given as;
f(b)-f(a)/b-a
in this case, a is 2 and b is 4
f(b) is 256 and f(a) is 16
Substituting these values in the equation for rate of change, we have;
(256-16)/(4-2) = 240/2 = 120
6. A tank can hold 50 litres of water. At present, it is only 30% full. How many litres of water shall I put in the tank so that it is 50% full?
Answer:
10 litres
Step-by-step explanation:
50 litres - 100%
x litres - 30%
x=(50*30)/100=15 litres - that's 30% of the tank (this amount of water is already added)
50 litres - 100%
x litres - 50%
x=(50*50)/100=25 litres - that's 50% of the tank (this amount of water will be in the tank)
To find what amount of water should be added we must subtract the amount of water that is already added from the amount of water that will be in the tank.
25 - 15=10 litres should be added
A . 12
B . 15
C . 36
D .39
Answer:
The answer is 36 or c all you need to do is multiply 12 by 3
C-36 because your multiplying all of them by 3
if you are at (0,0) on a coordinate grid, what direction do you go to plot point (-2,6)
Answer:
go left 2 and up 6
Step-by-step explanation:
(x,y)
(x,y) --> (-2,6)
0 = x 0 = y
0 - 2 = -2 = x
0 + 6 = 6 = y
(-2,6)
When making the X negative, you want to go left on the grid. When making Y positive, you want to go up on the grid.
Answer: you would go to the left side horizontally (aka quadrant 3), then go down until 6 vertically
Step-by-step explanation: if you don't get it, here's a visual explanation
A rectangle with an area of 81 cm² has a length that is 3 times the width. How long is the width of the rectangle? Round to the nearest tenth.
Answer:
W ≈ 5.2 cm
Step-by-step explanation:
Represent the length and width by L and W respectively.
Then L * W = 81 cm^2, and L = 3W.
Substituting 3W for L in the first equation, we get:
3W * W - 81 = 0, or 3W^2 - 81 = 0.
To make it easier to find the final answer, rewrite 3W^2 - 81 = 0 as
81
W^2 = ------- = 27
3
Then W (the width) is the positive square root of 27, or W ≈ 5.2 cm
Answer:
60.75 ≈ 60.8
Step-by-step explanation:
4u-> 81
1u -> 20.25 (width)
3u-> 60.75 (length)
Please help I’ll give brainliest
Answer:
B. $180
Step-by-step explanation:
3/2 × $120 = $180
______
what is the result when this equation is solved for y?
Answer:
Ans:C
Step-by-step explanation:
4x^2+10x-2=6
4x^2+10x=6+2y
4x^2+10x-6=2y
(4x^2+10x-6)÷2=y
y=2x^2+5-3
Hope this is useful :)
someone help me with this
Answer:
-27 or 1/27 ( both are same)
Step-by-step explanation:
-[tex]3^{3}[/tex]
-3 * -3 * -3
=-27 or 1/27
Which of the following does not represent a function?
Can someone help wit this please
Answer:
1520.53
Step-by-step explanation:
The volume of a cylinder is V = pi r^2 h
So you put 16 as the h and half of 11 because 11 is the diameter as r.
V= pi (5.5)^2 * 16
We can also approximate pi and put 3.1415
V= 3.1415 * (5.5)^2 * 16
V = 3.1415 * 30.25 * 16
V= 1520.486
And that is closest to the 3rd option 1520. 53 so that's the answer.
If Harry flies to the moon at 4000 miles per hour, but returns at 6000 miles per hour, what
is Harry’s average speed of the trip?
Answer:
5000 miles per hour.
6000+4000 =10000
10000/2 = 5000 miles per hour
Help please, por favor, s'il vous plait in all the language I can say please. I really need your help
Answer:
192
Step-by-step explanation:
16^2+b^2= 20^2
256+b^2=400
b^2=144
b= 12
height = 12
1/2bh= Area of a triangle
12*32=384
384/2= 192
Your bill at dinner is $25. Sales tax is 8.1% and you will tip 18%. What is your total.
whoever does the step by step FIRST will get brainliest
Answer:
31.525
Step-by-step explanation:
first you calculate the tip, 0.18*25 is 4.5
then you calculate the tax, 0.081*25 is 2.025
finally you add everything together, 25+4.5+2.025 is 31.525
9+4^2/8x3
What does this equal ?
Answer:
[tex]9+4^2\div 2^3\tems*3[/tex]
[tex]9+2^4\div8*3[/tex]
[tex]9+2*3[/tex]
[tex]9+2*3[/tex]
[tex]9+6[/tex]
[tex]15[/tex]
-------------------------hope it helps..have a great day!!24 PLUS 18 IJIEWJFQFHQR
Answer:
37
Step-by-step explanation:
Answer:
24+18 is 42.
Step-by-step explanation:
1
24
+18
____
42