Given:
The two points are (-2,3) and (-4,-2).
To find:
The gradient of the line segment between the given points.
Solution:
The gradient is also known as slope.
The slope formula:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The endpoints of the line segment are (-2,3) and (-4,-2). So, the gradient of the line is
[tex]m=\dfrac{-2-3}{-4-(-2)}[/tex]
[tex]m=\dfrac{-5}{-4+2}[/tex]
[tex]m=\dfrac{-5}{-2}[/tex]
[tex]m=\dfrac{5}{2}[/tex]
Therefore, the gradient of the given line segment is [tex]m=\dfrac{5}{2}[/tex].
A hemispherical tank is filled with water and has a diameter of 15 feet. If water weighs 62.4 pounds per cubic foot, what is the total weight of the water in a full tank, to the nearest pound?
Answer:
55135 lbs (rounded to the nearest pound)
Step-by-step explanation:
diameter of tank = 15 ft
Radius = 15/2 =7.5
volume of hemisphere = 2/3 ×π× 7.5³=883.5729
total weight of water = 62.4 × 883.57 = 55134.768
55134.768 rounded to the nearest pound is 55135 lb
♥ Hope this helped ♥
Help ASAP! Thanks
Find the lateral area of this cone.
Leave your answer in terms of pi
15cm
8cm
Answer: i think its 17
Step-by-step explanation:
Which expression shows four times eight to the fifth?
Answer:
C. Four times eight to the fifth.
Step-by-step explanation:
A. is four times TIMES 5 (Incorrect, NOT the answer)
B. Is 4 to the eight TIMES 5 (Incorrect, NOT the answer!)
C. Is 4 times eight to the fifth (CORRECT, is the answer.)
D. Is 4 to the eight TIMES 5 again! (Incorrect, NOT the answer!)
I Hope This Helped! :)
geometry solve for x
Answer:
x = 74 degrees
Step-by-step explanation:
If we assume that this triangle is isosceles, then the sum of the two angles at the bottom is (180 - 32) degrees, or 148 degrees. The angle x is half that, i. e., x = 74 degrees
What is the probability of rolling a 2 or 6 on a six-sided number cube?
Answer:
likely .
Step-by-step explanation:
Answer:
2 out of 6 chance
Step-by-step explanation:
Rearrange x=3g+2 to make g the subject
Step-by-step explanation:
Given
x = 3g + 2
Making g as a subject then
3g = x - 2
g = ( x - 2 ) / 3
Hope it will help :)❤
Answer:
g=(x-2)/3
Step-by-step explanation:
Solve the inequality 2ax-3<4x+5a for all possible values of the parameter a
Answer:
Step-by-step explanation:
2ax−3<4x+5a
Step 1: Add -5a to both sides.
2ax−3+−5a<5a+4x+−5a
2ax−5a−3<4x
Step 2: Add 3 to both sides.
2ax−5a−3+3<4x+3
2ax−5a<4x+3
Q
is the midpoint of PR¯¯¯¯¯¯¯¯
. If PQ=4x+5,
andQR=2x+25
, what is the value of x
Answer:
x = 10
Step-by-step explanation:
Q is the midpoint of PR: PQ = QR
4x + 5 = 2x + 25
2x = 20
x = 10
Kathryn bought a magazine for $5 and eight erasers. She spent a total of $45. How much did each eraser cost?
A. Write the ratio and express in simplest or lowest terms.
1. 8 hours to 10 hours
2. 40 minutes to 1 hour
3. 25 centavos to a peso
4. 2 dozens to 18 things
5. 64 km to 2 hours
Step-by-step explanation:
a 8:10
= 8/10
= 4/5
b. 1 hr = 60 min
= 40: 60
= 40/60
= 2/3
d 1 dozen = 12 things
2 dozen = 24 things
= 24: 18
= 12/18
= 2/3
In ANOP, the measure of
Answer:
37
Step-by-step explanation:
delta math gave me the answer ;)
Approximately 45% of films are rated R if 850 films were recently rated how many were rated R
Answer:
382.5?????
Step-by-step explanation:
because 850×45% its that
Isaac used 1/4 of an ounce of nuts to make 1/8 of a cake. How many ounces of nuts are needed to make one cake?
Answer:
2 ounces of nuts are needed to make one cake.
Step-by-step explanation:
if he uses 1.4 to make 1/8 of a cake, then you need to do it 8 times to make a full cake. Multiply 1/4 * 8 which is equal to 8/4 which simplifies to 2. This is your answer!
2 ounces of nuts are needed to make one cake.
Which statements are true about the function?
Answer:
it's -x,2 ur answer about this question
Help me plsssssssssssssssssssssssssss
Answer: 37 cm^2
Step-by-step explanation:
Break the shape into two recognizable shapes. In this case a triangle and a square. To find area of a triangle use Area= 1/2 base x height. To find area of a square use Area = length x width. Then add the two together.
Select the three expressions that are equivalent to
-2(4 - 3x) + (5x - 2).
A. 2x - 10
B. 11x - 10
C.-8 + 11x - 2
D. -8 - 11x - 2
E. -8 + 6x + 5x - 2
F. -8 - 3x + 5x - 2
What mathematical process did you use to
simplifying the expression above?
Answer:
B
Step-by-step explanation:
-2(4 - 3x) + (5x - 2)=
-8+6x+5x-2=11x-10
when there is a number in front of () you multiple every number that is inside the ()
Chad complained to his friend that he had five equations to solve for homework. Are all of the homework problems equations? Justify your answer.
Answer:
no , 1 , 3 and 4 are expressions as they don't have an equal sign .
I need some help with this important question it's for a important grade pls someone really help me with this question.
Answer:
45º
Step-by-step explanation:
A triangle always has 180º
C is a right angle which is 90º. Proof is because of the square.
So now we have 90º left and 2 angles left.
90 ÷ 2 = 45
So your answer is 45º
MARK BRAINLY
Make sure to hit the THANKS button :D
V
V
Answer:
36
Step-by-step explanation:
17 is the hypotenuse.
For angle A, 10 is the opposite leg.
sin A = opp/hyp
sin x = 10/17
x = sin^-1 10/17
x = 36
Write the ratio 32 : 24 in its simplest form
Answer:
4:3
Step-by-step explanation:
because 32:24 simpified is 4:3
Jean junction is selling jeans at 12% off the regular price. The regular price is $32.00 per pair. What is the discount amount
hey guy i need help on this
Answer:
14
Step-by-step explanation:
Answer:
14
Step-by-step:
[tex](12 - 9)^{2} + \frac{15}{3} \\ (3) ^{2} + \frac{15}{3} \\ 9 + \frac{15}{3} \\ 9 + 5 \\ = 14[/tex]
Solve for x in the diagram * 10 POINTS HELP*
Answer:x+42+3x = 90
Combine like terms:
3x+x = 4x
42+4x = 90
Subtract 42 to both sides
90-42 = 48
Divide 4 by 48
48/4 = 12
X = 12
100% right
Step-by-step explanation:
8 - 5xt-8х - 5x
how do I solve this?
Answer:
[tex]8 - 5xt - 13x[/tex]
Step-by-step explanation:
1) Collect like terms.
[tex]8 - 5xt + ( - 8x - 5x)[/tex]
2) Simplify.
[tex]8 - 5xt - 13x[/tex]
Therefor the answer is 8 - 5xt - 13x.
Monica deposits $300 into a savings account that pays a simple interest rate of %3.3. Paul deposits $400 into a savings account that pays a simple interest rate of %2.8. Monica says that she will earn more interest in 1 year because her interest rate is higher. Is she correct? Justify your response.
Answer: The formula for calculating simple interest is given by :
S.I =
For Monica
S.I = 300 x 3.4 x 1 / 100
S.I = $10.2
For Paul
S.1 = 400 x 2.4 x 1 / 100
S.I = $9.6
Therefore : Monica earned more interest
Step-by-step explanation:
What is this ?? Anyone ?
Answer:
30000000 x 200 = 6,000,000,000
9. Select a set of corresponding angles.
A Angles M and D
B Angles B and L
C Angles C and J
D Angles K and A
Answer:
A. Angles M and D
Question 5
3 pts
(6.03)
How many variable terms are in the expression 3x3y + 5x2 + y + 9? (Input a
numeric value only.) (3 points)
Question 6
4 nts
Answer:
2
Step-by-step explanation:
A rectangular chocolate bar is made of equal squares. Irena breaks off two complete strips of squares and eats the 12 squares she obtains. Later, Jack breaks off one complete strip of squares from the same bar and eats the 9 squares he obtains. How many squares of chocolate are left in the bar?
Answer:
There are three more square chocolates left
Step-by-step explanation:
We know that Irena breaks off 2 complete strips and eats 12 meaning each strip had 6 squares. Jack breaks off 9. So if we add all the squares into rows of 6, we get four strips of chocolate from the beginning. Since Jack and Irena obtained 21 chocolate squares altogether, we have 3 chocolate squares that are remaining. I hope this helps ;)
The number of Squares of chocolate left in the bar is; 15 squares
What is the amount of squares left?
A square has 4 equal sides and since one row contains 6 squares because irena ate 2 complete rows that had 12 squares.
It means that each of the vertical height must also contain 6 squares as well.
Now, two rows are gone and so we now have 4 rows with vertical height of 4 squares. That is 24 squares left.
Now, Jack ate 9 squares and so;
Amount of squares left = 25 - 9 = 15
Read more about Remaining Area at; https://brainly.com/question/13048427
Solve the following system
y=1.6x
2x + 2y = 86
Answer:
The answer is (16.538461(repeated), 26.461538(repeated))
Answer:
x=16.538462 and y=26.461538
Max and Zoe collected 33 pieces of garbage from the beach. Zoe collected twice as many pieces of garbage as Max. How many pieces of garbage did Zoe collected?
Answer:
beach litter data that had been collected by the TG Marine Litter. ... (e.g. littering fines, voluntary restrictions, additional waste.