Answer:
y=-3x-7
Step-by-step explanation:
the line is currently in standard form (ax+by=c). Let's put it into slope-intercept form (y=mx+b)
-x+3y=9
add x to both sides
3y=x+9
divide by 3
y=1/3x+3
perpendicular lines have slopes that when multiplied, equal -1.
to find the slope (m) of our new line:
1/3m=-1
multiply by 3
m=-3
the slope of the new line is -3
here's our equation so far:
y=-3x+b
we need to find b (y intecept)
since the line passes through the point (-3,2), it should be a solution in the equation (plug it in, and the result is a true statement). We can also use it to find b
so, substitute the pointt into the equation:
2=-3(-3)+b
multiply
2=9+b
subtract
-7=b
so the equation of the line is y=-3x-7
Hope this helps!
please answer :( im very lonely and im bad at maths so do it for me :(((
Answer:
Step-by-step explanation:
First you need to calculate the entire length (in meters) of the metal used in the gate, then multiple the length by 2.5 kg per meter
Break it into parts.......
four pieces on along the outside is just the perimeter of a rectangle
P = 2( L + H) both sides and the top and bottom
the two crossing metal pieces are just the hypotenuse of a right triangle and since we have two pieces of metal
a² + b² = c² or L² + H² = Hyp² solving for the htpotenuse
Hyp = [tex]\sqrt[]{L^2 + H^2}[/tex]
so the total length of the gate metal is
P = 2( L + H) plus 2 Hyp = [tex]\sqrt[]{L^2 + H^2}[/tex]
= 2( 12 + 5) + 2 [ √(12² + 5²) ]
= 34 + 2 [ √( 144 + 25) ]
= 34 + 2 ( √169)
= 34 + 2( 13)
= 34 + 26
= 60 meters of gate metal metal weighs 2.5 kg per meter
Total weight equals 60 meters times 2.5 kg per meter
Total weight = 60 (2.5) = 150 kg
quick quick, help plzz
Answer: The volume is 10 cm^3
Step-by-step explanation:
We know that each cube is a centimeter cube.
This means that if L is the length of each side of one of these cubes, then L = 1cm
And we know that the volume of a cube of side length L is:
V =L^3
Then the volume of each of the small cubes is:
V = (1 cm)^3 = 1 cm^3
Now we just need to count the number of cubes in the prism.
We can see that there is a "T" shape.
in the front part, we can see 5 cubes.
And there is another part in the back, where we also can assume that there are 5 cubes.
Then the total number of cubes in the prism is 10
And each of these cubes is 1 cm^3
Then the volume of the prism is 10 times 1 cm^3
The volume of the prism is:
V = 10*(1 cm^3) = 10 cm^3
Q3. In a hydraulic lift, a 1400 N force is applied to a 0.5 m2 piston. Calculate the minimum surface area of the large piston to lift 5000 N.
Answer:
1.8m^2 approx
Step-by-step explanation:
Given data
P1= 1400N
A1=0.5m^2
P2=5000 N
A2=??
Let us apply the formula to calculate the Area A2
P1/A1= P2/A2
substitute
1400/0.5= 5000/A2
cross multiply
1400*A2= 5000*0.5
1400*A2= 2500
A2= 2500/1400
A2= 1.78
Hence the Area is 1.8m^2 approx
Find “X” thank you!!!! <33
Answer:
Step-by-step explanation:
If we assume that the angle at A is 90 degrees.. which it does seem like it would be. then use that the sum of the angles around the inside of a right triagle is 180 . so you have
180 = 37 + 90 + x
53° = x
does that help?
HURRY WILL MARK BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!
Summer deposited $5,800 into an account. She made no additional withdrawals or deposits. Summer earned 1.35% annual simple interest on the money in the account. What was the balance in her account at the end of 3.5 years? Enter the amount in the account in the box. $
Answer:
5800 x 0.0135 = 78.3
78.3 x 3 =234.9
78.3/2 = 39.15
234.9 + 39.15 = 274.05
Your answer is 274.05
Step-by-step explanation:
Hope this helps!
Can someone plz help me
Answer:
31.42
Step-by-step explanation:
If the yellow image was reflected across the y-axis, what would the ordered pair be for point B?
Answer:
I believe (-7,3) is the answer
Step-by-step explanation:
Answer:
(-7,3)
count from the origin point to where underneath point b is and you have x but since it's on the positive side and you're flipping it make it negative
then count up from that point and you have y, since you're on the positive top half it stays positive
Which is the product of 7/9 and 6?
Answers: A 1 4/9
B 3 7,9
C 4 2/3
D 7 5/7
Answer:
C
Step-by-step explanation:
7/9 x 6 = 4u 6/9
simpify it and you get 4u2/3
hope thus helps :)
The question is in the photo. Please answer with the correct answer.
Answer:9
Step-by-step explanation:
Question 11 ) Given the following histogram, which term can be used to describe the shape of the data?
Use mathematical induction to prove the statement is true for all positive integers n. 1^2 + 3^2 + 5^2 + ... + (2n-1)^2 = (n(2n-1)(2n+1))/3)
Answer:
The statement is true is for any [tex]n\in \mathbb{N}[/tex].
Step-by-step explanation:
First, we check the identity for [tex]n = 1[/tex]:
[tex](2\cdot 1 - 1)^{2} = \frac{2\cdot (2\cdot 1 - 1)\cdot (2\cdot 1 + 1)}{3}[/tex]
[tex]1 = \frac{1\cdot 1\cdot 3}{3}[/tex]
[tex]1 = 1[/tex]
The statement is true for [tex]n = 1[/tex].
Then, we have to check that identity is true for [tex]n = k+1[/tex], under the assumption that [tex]n = k[/tex] is true:
[tex](1^{2}+2^{2}+3^{2}+...+k^{2}) + [2\cdot (k+1)-1]^{2} = \frac{(k+1)\cdot [2\cdot (k+1)-1]\cdot [2\cdot (k+1)+1]}{3}[/tex]
[tex]\frac{k\cdot (2\cdot k -1)\cdot (2\cdot k +1)}{3} +[2\cdot (k+1)-1]^{2} = \frac{(k+1)\cdot [2\cdot (k+1)-1]\cdot [2\cdot (k+1)+1]}{3}[/tex]
[tex]\frac{k\cdot (2\cdot k -1)\cdot (2\cdot k +1)+3\cdot [2\cdot (k+1)-1]^{2}}{3} = \frac{(k+1)\cdot [2\cdot (k+1)-1]\cdot [2\cdot (k+1)+1]}{3}[/tex]
[tex]k\cdot (2\cdot k -1)\cdot (2\cdot k +1)+3\cdot (2\cdot k +1)^{2} = (k+1)\cdot (2\cdot k +1)\cdot (2\cdot k +3)[/tex]
[tex](2\cdot k +1)\cdot [k\cdot (2\cdot k -1)+3\cdot (2\cdot k +1)] = (k+1) \cdot (2\cdot k +1)\cdot (2\cdot k +3)[/tex]
[tex]k\cdot (2\cdot k - 1)+3\cdot (2\cdot k +1) = (k + 1)\cdot (2\cdot k +3)[/tex]
[tex]2\cdot k^{2}+5\cdot k +3 = (k+1)\cdot (2\cdot k + 3)[/tex]
[tex](k+1)\cdot (2\cdot k + 3) = (k+1)\cdot (2\cdot k + 3)[/tex]
Therefore, the statement is true for any [tex]n\in \mathbb{N}[/tex].
Can someone plz help me I beg u :(
On a coordinate plane, a line goes through points (0, 0) and (1, 3).
Based on the graph, what is the constant of variation?
Answer:
3 on edge
Step-by-step explanation:
Just did the assignment
whar is the value of (4x² -10)
-------------
y
when x=5 and Y=6
A) -15
B)10
C)15
D)20
v/22 - 0.1 = 7.4 what is v?
Answer:
v = 165
Step-by-step explanation:
v/22 -0.1 = 7.4
v/22 = 7.4+0.1 =7.5
v = 7.5*22
v = 165
Answer:
[tex]v = 165[/tex]
Step by step Explanations:1) Add 0.1 to both sides.
[tex] \frac{v}{22} = 7.4 + 0.1[/tex]
2) Simplify 7.4 + 0.1 to 7.5.
[tex] \frac{v}{22} = 7.5[/tex]
3) Multiply both sides by 22.
[tex]v = 7.5 \times 22[/tex]
4) Simplify 7.4 × 22 to 165.
[tex]v = 165[/tex]
Therefor, the answer is v = 165.
please help with my math
Answer:
150 boys
Step-by-step explanation:
equation:
⇒ 5x + 4x = 270
add like terms:
⇒ 9x = 270
divide 9 on both sides:
⇒ [tex]\frac{9x}{9} = \frac{270}{9}[/tex]
solve:
⇒ x = 30
take original equation and subtitute 30 for x;
⇒5 x 30 + 4 x 30 = 270
⇒ 150 + 120 = 270
We can see that if there were 270 students, 150 would be boys and 120 would be girls.
A linear equation with one variable, x, can be solved to show that it has no solutions. Which of the following show that there are no solutions?
select all that apply.
a) x=1
b) x=x
c) 1=1
d) 1=3
e) x=3
f) 0=3
Answer:
a,d,e,f
Step-by-step explanation:
I need help solving this step by step. Work would be nice so I can look and understand it so I can try a different problem.
Answer:
I need points, sorry, i cant help
Step-by-step explanation:
Chocolates costing $8 per pound are to be mixed with chocolates costing $3 per pound to make a 20-pound mixture. If the mixture is to sell for $5 per pound, how many pounds of the $3 chocolate should be used?
10
8
12
If u know, please help :(
Answer:
8 is the correct answer i think I'm not really sure
From a standard deck of cards, a 5-card hand is dealt. Calculate the number of hands that contain 4 diamonds and 1 black king
Answer:
1430
Step-by-step explanation:
Given that a standard deck of cards is 52 cards, we have 13 Diamonds and we need 4 diamonds.
Hence, we have 13C4.
Also, we have 4 kings in a standard deck of cards, and in which we have 2 black kings but we need 1 king.
Hence we have a 2C1
Therefore:
13C4 * 2C1
=> 13! ÷ [4! (13 - 4)!] * 2! ÷ [1! (2-1)!]
=> 13! ÷ [4! (9)!]
=> (1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 x 11 x 12 x 13) ÷ [(1 x 2 x 3 x 4) (1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9)]
=> (10 x 11 x 12 x 13) ÷ 24
=> (17160 ÷ 24) * (24 ÷ 6)
=> 715
2! ÷ [1! (2-1)!]
=> 2
Hence, we have 715 * 2
=> 1430
Hence, in this case, the correct answer to the question is 1430
Find the equation of a line that passes through the point (0,1) and has a gradient of 3.
Leave your answer in the form y = mx + c
Step-by-step explanation:
Find the Equation of a Line Given That You Know a Point on the Line And Its Slope
The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.
If you a point that a line passes through, and its slope, this page will show you how to find the equation of the line
Complete the inequality with >, <, or=.
13
<
62
A skyrocket is launched from a 30–foot-high platform, with initial speed 300 ft/s. If the polynomial −16t2 + 300t + 30 gives the height that the rocket will rise in t seconds, how high will a rocket with a 2–second fuse rise? The rocket will rise feet.
Answer:
566 ft
Step-by-step explanation:
Given the polynomial equation
-16t² + 300t + 30 = 0
We're asked to find how high the rocket would rise in a 2 second fuse rise. This is a simple instruction that can be obtained by setting the unknown, t, in the equation to 2. Doing this, we have
-16 * 2² + 300 * 2 + 30
-16 * 4 + 600 + 30
-64 + 630 = 566 ft
Then, we can therefore conclude that the rocket will rise high up to a distance of 566 ft
Brian rolls a fair dice 12 times. How many times would Brian expect to roll a number greater than 4?
Brian is expected to roll a number greater than 4, 4 times
How to determine the expected row?In a fair die, we have:
Faces = 6
Faces greater than 4 = 2 i.e. 5 and 6
So, the probability to roll a number greater than 4 is:
p = 2/6
When the dice is rolled 12 times, the expected value is:
Expected = 2/6 * 12
Evaluate
Expected = 4
Hence, Brian is expected to roll a number greater than 4, 4 times
Read more about expected values at:
https://brainly.com/question/15858152
#SPJ1
Please please help help me with two questions!!
Answer:
A. True
B. False
Step-by-step explanation:
1: 30 + 10 = 40 and 8 x 5 = 40 (both match)
2: 75 - 25 = 50 and 5 x 9 = 49 (Doesn't match)
dose anyone have r o b l o x
Answer:
i do my username is EenyMenyOreo
Step-by-step explanation:
Answer:
Yes... lol
Step-by-step explanation:
Why?
Add me: isaaclikesomone
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Answer:
yayayayayayauauaudadaddadadadaddadaad.lolllollololololo
The baseball team needs to collect 12,000 cans to raise money for new uniforms each uniform costs $50 they have collected 7,560 cans how many more cans do they need
Answer:
The answer is "4440"
Step-by-step explanation:
Total needed cans=12000
collected cans=7,560
Needed cans=?
Needed cans = Total needed cans - collected cans
[tex]= 12000 -7560\\\\ = 4,440[/tex]
I NEED HELP WITH THIS PLZZZ
Answer:
The center of the circle is point: C=(1,5).
The radius of the circle is r=3.
Step-by-step explanation:
x² + y² -2x - 10y + 17 = 0
Find the center and radius of this circle
We have the equation
x² + y² -2x - 10y + 17 = 0
We collect like terms
x² - 2x + y² - 10y = -17
x² - 2x + (-2/2)² + y² - 10y + (-10/2)² = -17 + (-2/2)² + (-10/2)²
The center of the circle is point: C=(1,5).
The radius of the circle is r=3.
A recipe requires 1/4 cup of foil for every 2/3 cup of water. How much oil (in cups) is needed per cup of water?
Answer:
3/4
Step-by-step explanation: