Answer:
[tex]-\frac{15}{4}[/tex]
Step-by-step explanation:
To find the slope or the gradient of a line you have to utilise the formula
[tex]\frac{y2-y1}{x2-x1}[/tex]
Y₂ = -7
Y₁ = 8
X₂ = 7
X₁ = 3
So,
[tex]\frac{-7-8}{7-3}[/tex]
→ Simplify
[tex]-\frac{15}{4}[/tex]
By using the given points, we will see that the slope is -15/4.
How to find the slope of a line?
If we know that a given line passes through two known points (x₁, y₁) and (x₂, y₂), then the slope can be written as:
[tex]s = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Here the line passes through the points (3, 8) and (7, -7).
Using the above formula, we can see that the slope is:
[tex]s = \frac{-7 - 8}{7 - 3} = \frac{-15}{4}[/tex]
If you want to learn more about linear equations, you can read:
https://brainly.com/question/4074386
Find the area of the parallelogram
Answer:
120 cm^2
Step-by-step explanation:
The area of the parallelogram is
A = bh
A = 15*8
A =120
What is 2x+3=x+15 pls help
Answer:
x = 12
Step-by-step explanation:
2x+3=x+15 (subtract x from both sides)
2x + 3 - x = x + 15 - x
x + 3 = 15 (subtract 3 from both sides)
x + 3 - 3 = 15 - 3
x = 15-3
x = 12
Money is shared between kiera and louise in the ratio 4 :5 If £36 is shared how much does kiera recievve
Answer:
18$
Step-by-step explanation:
Answer:
£16
Step-by-step explanation:
Sum the parts of the ratio, 4 + 5 = 9 parts
Divide the money by 9 to find the value of one part of the ratio
£36 ÷ 9 = £4 ← value of 1 part of ratio, thus
4 × £4 = £16 ← Kiera's share of the money
The sum of a number and 12, divided by 4, is -7
Answer:
-40
Step-by-step explanation:
Work backwards
4 * -7 = -28
-28 - 12 = -40
hummingbirds beat their wings many times per second. which equation relates the number of wing beats per second (a) to the number of wing beats per minute (b)
Answer:
C
Step-by-step explanation:
Answer:
b= a
60
Step-by-step explanation:
22. One factor of x² + 2x - 8 is
Answer:
(x-2)(x+4)
Step-by-step explanation:
x² + 2x - 8 = x² + 2x +1 - 9 = x² + x +x+1 - 9 = x(x+1) +(x+1) - 9
= [tex](x+1)^{2}[/tex] - [tex]3^{2}[/tex]
= (x+1-3)(x+1+3)
= (x-2)(x+4)
Problema: Se guarda una moneda antigua en una caja cubica de tal forma que el contorno de la moneda toca las 4 paredes de la caja, si la base de la caja tiene un perímetro de 24 cm ¿Cual es el área de la moneda?
Answer: 50.24 cm^2
Step-by-step explanation:
This can be translated to:
An old coin is kept in a cubic box in such a way that the outline of the coin touches the 4 walls of the box, if the base of the box has a perimeter of 24 cm. What is the area of the coin?
The fact that the coin touches the interior of the box means that the diameter of the coin is equal to the side lenght of the box.
The perimeter of the box is 24 cm, and the perimeter of a square is equal to:
P = 4*L
where L is the side lenght of the square.
24 cm = 4*L
L = 24cm/4 = 8cm
Now we know that the diameter of the coin is 8cm
Now, the area of a circle (the coin) is equal to:
A = 3.14*(d/2)^2
where d is the diameter, so we have:
A = 3.14*(4cm)^2 = 50.24 cm^2
The space shuttle's external tank was a component of the space shuttle's launch vehicle that carried the fuel during launch. The tank is cylindrical in shape, having a diameter of 8.4 metres and is 46.9 metres in length. A)How much fuel would the tank hold? B)The tank takes 8.5 minutes to be emptied during launch. At what rate is the fuel being used?
Answer:
a. The tank would hold a 2,600.136 m^3 or 2,600,136 liters of fuel
b. The rate at which the fuel is being used is 305,898.35 liters of fuel per minute
Step-by-step explanation:
a. Since the tank is cylindrical in shape, we can mathematically calculate the volume of the cylinder so as to know the amount of fuel it will hold.
Mathematically, the volume of a cylinder;
V = π * r^2 * h
where r is the radius which is the diameter divided by 2 = 8.4/2 = 4.2 meters in this case
h is the length here(in place of the conventional height) = 46.9 meters
π = 22/7
Plugging these values into the equation, we have;
V = 22/7 * 4.2^2 * 46.9 = 2,600.136 m^3 of fuel
Since 1 m^3 = 1000 liters
then 2,600.136 m^3 = 2,600.136 * 1000 = 2,600,136 liters( liters is a more comfortable unit when talking about liquids such as fuel)
b. Now we want to know the rate at which the fuel is used
What we need here is to just divide the volume of fuel used by the number of minutes it took the tank to be emptied
That would be = 2,600,136/8.5 = 305,898.35 liters/minute
which of the following is the solution to the inequality below?
-3 (x -3) > 5 - 5x
A) x > -2
B) x > -1/2
C) x < 2
D) x < - 1/2
Answer:
x >-2
Step-by-step explanation:
-3 (x -3) > 5 - 5x
Distribute
-3x +9 > 5-5x
Add 5x to each side
-3x +9+5x > 5-5x+5x
2x +9> 5
Subtract 9 from each side
2x+9-9>5-9
2x > -4
Divide each side by 2
2x/2 >-4/2
x >-2
Answer:
A. x > -2.
Step-by-step explanation:
-3 (x -3) > 5 - 5x
-3x + 9 > 5 - 5x Subtract 9 from both sides and add 5x to both sides:
-3x + 5x = 5 - 9
2x > -4
x > -2.
Michael has a set of five cards shown below. Michael will randomly select a card, not replace it, and then select another card. What is the probability that he selects a prime number and then a 1? *
Step-by-step explanation:
The table is not given, but
The Probability that he selects a prime number = (number of prime number) ÷ (total number of all cards)
And
The probability of selecting a 1 = (total number of 1's)÷(total number of all numbers in the deck).
5/3
Step-by-step explanation:
take the 3 then add it again then you add 3 and get 5/3
A washer and a dryer cost 1021 combined. The washer costs 71 more than the dryer. What is the cost of the dryer?
Answer:
475
Step-by-step explanation:
1021-71
950/2
The golden gate bridge is 2.7 kilometers long. Grace walks across it taking photos. She takes a photo at the beginning and the end of the bridge, and every .3 kilometers along the way. How many photos does she take altogether?
Answer:bl
7564w
Step-by-step explanation:
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a) -3 · x = -21
b) -7x + 16 = 2x - 20
help pls
Which of the following functions is not linear?
Answer:
D. y = 8x² + 8x + 4Step-by-step explanation:
The equation of a linear function is in form:
[tex]y=mx+b[/tex]
We have:
[tex]\bold{A.}\\\\y=8(x+8)+4(x+8)\qquad\text{use the distributive property}\\\\y=8x+64+4x+32\qquad\text{combine like terms}\\\\y=12x+86\to m=12,\ b=86\\\\\bold{linear\ function}[/tex]
[tex]\bold{B.}\\\\y=\dfrac{\sqrt8}{8}x-4\to m=\dfrac{\sqrt8}{8},\ b=-4\\\\\bold{linear\ function}[/tex]
[tex]\bold{C.}\\\\y=\dfrac{1}{8}x+8\to m=\dfrac{1}{8},\ b=8\\\\\bold{linear\ function}[/tex]
[tex]\bold{D.}\\\\y=8x^2+8x+4\\\\\bold{not\ linear\ function}\\\\\text{because is}\ x^2\\\\\text{It's a quadratic function}[/tex]
what percent of 420 is 70
Answer:
16.67
Step-by-step explanation:
Answer:
16.67
Step-by-step explanation:
70:420*100 =
(70*100):420 =
7000:420 = 16.67
Find the area of this trapezoid. Be sure to include the correct unit in your answer.
5 yd
11 yd
9 yd
17 yd
answer:
8417yd
Step-by-step explanation:
put these fractions in order of size, smallest to largest 1/3 2/5 3/8
Answer:
3/8, 2/5, 1/3
Step-by-step explanation:
From smallest to largest is 3/8 2/5 1/3
I'm not really looking for an exact answer, I'm more so looking for an explanation on how to do this.
I would have each block be 1/6 of a yard
You could technically have any value you want, but for me 1/6 is easiest because 1/2 and 1/3 will scale up to this like so
1/2 = (1/2)*(3/3) = 3/6
1/3 = (1/3)*(2/2) = 2/6
The diagram below might help if you're still stuck on why I picked 1/6.
A rectangular aquarium that is 3 inches wide, 9 inches long and 12 inches tall. If water is filled up to 9 inches, how much more water can be put in the aquarium to make it full
Answer:
81 inches^3
Step-by-step explanation:
The empty space at the top is
3 inches wide by 9 inches long by (12-9) inches tall
3*9*3 = 81 inches^3
pls pls pls pls pls pls pls pls pls pls help
an airplane takes off from an airport at 11 am. fifteen minutes later, its shadow is 360000 feet away from the take off point and its altitude is 24000 ft. what is the exact distance the plane traveled in 15 minutes
Answer:
what grade are you in so i can help
Step-by-step explanation:
please answer from the attachment
Look at the attached picture
Hope it will help you..
Good luck for the test...
(◕ᴗ◕✿)(ʘᴗʘ✿)
Formula for a area of a circle
Answer:
A=(pie) r^2
Step-by-step explanation:
A = Area
(pie) = 3.14
r^2 = (r is the radius)
Answer:
pi r^2
Step-by-step explanation:
That is your answer
A grocery store will only accept yellow onions that are at least 2.75 in. In diameter. A grower has a crop of onions with diameters that are normally distributed, with a mean diameter of 2.5 in. And a standard deviation of 0.25 in. What percent of the onions will be accepted by the grocery store?
Answer:
Step-by-step explanation:
Calculate z-score firstly
z-score = (x-mean)/SD = (2.75-2.5)/0.25 = 0.25/0.25 = 1
P( x greater than or equal to 2.75) = P(z greater than or equal to 1)
= 1 - p(z <1)
P(z<1) from table = 0.84134
1-p(z<1) = 0.15866 or 15.866%
Help me please this is urgent
Answer:
ONL and MNL
Step-by-step explanation:
Adjacent angles are next to each other and share a side
ONL and MNL are next to each other and share a side
Please answer asap!!!!!!!!
what is the square root of 3.375
Answer: 1.83712
Step-by-step explanation:
Answer:
[tex]\sqrt{3.375}[/tex] = ~1.837
Tan θ =
[tex] \sqrt{13} \div \sqrt{2} [/tex]
Answer:
Step-by-step explanation:
Tan θ = [tex]\sqrt{13} \div \sqrt{2}[/tex] = 2.5495
Therefore θ = [tex]Tan^{-1}[/tex] (2.5495) =68.5832°
Answer:
Tan θ = 2.5495097...
Jack bought a motorbike. The original price was $1,300, but he got a discount of 20%.
What was the discounted price of the bike?
Answer:
The discounted price is $260
Step-by-step explanation:
Jack bought a motorbike. The original price was $1,300, but he got a discount of 20%.
What was the discounted price of the bike?
To find the discounted price of the bike, if Jack bought a motorbike that originally costs $1300 and got a discount of 20%, we will follow the steps below;
find 20% of $1300
20% of $1300 = 20% × $1300 =[tex]\frac{20}{100}[/tex] × $ 1300 = 20×$13 = $ 260
Therefore, the discounted price is $260
Is the value you just wrote for the total length of the walkway a rational or irrational number? Explain. (2 points)
Answer: rational
Step-by-step explanation: because the number is rational hopefully
Answer: Rational numbers are numbers that never end. Any numbers that are able to be written in fraction form is a rational number. That includes integers, repeating decimals, terminating decimals, and fractions. Therefore, 50.24 is a rational number.
Step-by-step explanation:
Hope this help! I had the same question on edge✅
Which solution is possible: 7+x <19
x=4
x=12
x=13
x=19
Other:
Answer:
x = 4
Step-by-step explanation:
Note that it is only less than, not less than or equal too. Numbers that are 11 & less are the only ones that work.
x = 4 is your only answer choice that is less than 11, therefore is your only answer.
~
Answer:
none of the above, you need a lesser number
