Answers
Answer:
Option 2: -¾
Step-by-step explanation:
First identify 2 points on the line.
(0, 1), (4, -2)
Substitute the coordinates into the gradient formula below:
[tex]\boxed{gradient = \frac{y1 - y2}{x1 - x2} }[/tex]
☆ (x₁, y₁) is the 1st coordinate and (x₂, y₂) is the 2nd coordinate.
Slope of the line
[tex] = \frac{1 - ( - 2)}{0 - 4} [/tex]
[tex] = \frac{1 + 2}{ - 4} [/tex]
[tex] = - \frac{3}{4} [/tex]
☆ Since the line is sloping downwards looking from the left to right, the line must have a negative slope.
Related Questions
A triangle has sides of lengths 8, 15, and 17. Is it a right triangle? Explain.
Answers
Answer:
Step-by-step explanation:
8^2 + 15^2 = ?
64 + 225 = 17^2
289 = 289
[tex]\sqrt{289} = \sqrt{289\\} \\ 17 = 17[/tex]
What is the equivalent to 2 to the 4th power
Answers
Answer:
4 to the 2nd power is the equivalent to 2 to the 4th power
Step-by-step explanation:
2⁴ = 16 = 4²
Answer:
16
Step-by-step explanation:
2*2*2*2= 16
Fabric is stretched over the wooden frame below What is the total area of the fabric? Round to the nearest square inch
Answers
Answer:
72 in²
Step-by-step explanation:
We obtain the value of EC:
From Pythagoras :
EC = √CD² - DE²
EC = √10² - 6²
EC = √100 - 36
EC = √64
EC = 8
To obtain AE:
AE = √AB² - BE²
AE = √(√52)² - 6²
AE = √52 - 36
AE = √16
AE = 4
Hence, we can obtain the areas of each triangle :
△ABE = △ADE
△BCE = △CDE
AREA OF △ABE = 1/2 * base * height
= 1/2 * 4 * 6 = 12 in²
AREA OF △BCE = 1/2 * base * height
= 1/2 * 6 * 8 = 24 in²
HENCE, total area of fabric :
(2 * 12) + (2 * 24)
24 in² + 48 in²
= 72 in²
Solve for x. Round to the nearest tenth, if necessary.
P.
х
50°
Q
R
4.2
Answers
Answer:
5.0 =x
Step-by-step explanation:
Since this is a right triangle
tan theta = opp side/ adjacent side
tan 50 = x / 4.2
4.2 tan 50 = x
5.005365089 =x
Rounding to the nearest tent
5.0 =x
SOMEONE PLEASE HELP!!!!
Answers
Answer:
D. 9
Step-by-step explanation:
When you add 1 + 4 + 5 + 5 + 5 + 6 + 9 + 10 + 10 + 11 + 12 + 12 + 15 + 15 + 15 = 135. Which is all of the numbers given to you, and since mean is when you add all of the numbers together, and than divide it by the amount of numbers there, you will take that 135 and divide it by 15. 135 / 15 = 9. Which gets you to finally getting an answer of 9. so D. 9 is correct.
Answer:
C. 8.5
Step-by-step explanation:
If anyone can help, it’d be appreciated! I’m so confused
Answers
Sorry if it’s wrong
Hope that helped
I’m bo red so I’m helping out
Based on these boxplots, which of the following is true ? (5 points) The median rating for website B is greater than for website A. The interquartile range for website A is greater than for website B. The ranges for the two websites are the same, The median ratings for the two websites are the same .
Answers
Answer:
A
Step-by-step explanation:
because it's right and you'll get it right so it is a
(x−4)2+y2=64
(
x
−
4
)
2
+
y
2
=
64
Which point is on the circle?
Answers
Answer:
(12, 0)
Step-by-step explanation:
The centre of the circle is at (4, 0) and the radius = √64 = 8.
So one point on the circle is at ((4 + 8), 0) = (12,0).
Which one
18ft
26ft
70ft
96ft
Answers
Answer:
c. 70ft²
Step-by-step explanation:
Area of wall needed to be painted
= (12×8) - (2×2×2) - (3×6)
= 96 - 8 - 18
= 70ft²
Find missing side
help quick pls
Answers
Answer:
7m
Step-by-step explanation:
18/6 = 3
24/8 = 3
21/x = 3
21/3 = 7
x = 7
which M.A.D (mean absolute deviation) would show the most variability
a- .5
b- 1.5
c- 1
d- 2
Answers
The diameter of a circle is 4 cm. Which equation can be used to find its circumference?
C = pi times 2
C = pi times 4
C = StartFraction pi times 4 over 2 EndFraction
C = StartFraction pi times 4 over 4 EndFraction
Answers
Answer:
C = StartFraction pi times 4 over 2 EndFraction.
Step-by-step explanation:
the circumference of a circle=
C= 2 times PI times radius
Radius= d/2
sooo it is
C = StartFraction pi times 4 over 2 EndFraction.
Answer:
C = StartFraction pi times 4 over 2 EndFraction.
Step-by-step explanation:
the circumference of a circle=
C= 2 times PI times radius
Radius= d/2
sooo it is
C = StartFraction pi times 4 over 2 EndFraction.
ABCD ~ EFGH
С
B
140°
G
3
50°
4.5
2
110°
DE
х
A
2.4
H н.
x = [?]
Enter your answer in decimal form.
Enter
Answers
Answer:
x = 3.6
Step-by-step explanation:
Since ABCD ~ EFGH, therefore:
AB/EF = AD/EH
AB = 3
EF = 2
AD = x
EH = 2.4
Plug in the values into the equation:
3/2 = x/2.4
Cross multiply
3*2.4 = 2x
7.2 = 2x
Divide both sides by 2
7.2/2 = x
3.6 = x
x = 3.6
Determine whether the following system is consistent or inconsistent and if it is independent or dependent.
Y=2x-3 and 2x-2y=2
Answers
9514 1404 393
Answer:
consistent, independent
Step-by-step explanation:
Systems of equations are most easily classified these ways if the equations are in the same form. If we solve the second equation for y, we have ...
y = x - 1
The x-coefficients of this and the first equation are different, so the system is consistent and independent.
__
A system is independent if the equations describe different lines.
A system is inconsistent if the equations describe parallel lines.
Here, the different lines are not parallel, so the system is independent and consistent.
Convert 40% as a fraction and multiply the results by 25
Answers
40% = 40/100 = 2/5
Multiply the results by 25 :–2/5×25 = 10....
(✯ᴗ✯)Hence , the answer is 10...(◍•ᴗ•◍)=0.4
0.4 x 25
=10
If f(1)=6f(1)=6 and f(n)=nf(n-1)-4f(n)=nf(n−1)−4 then find the value of f(3)f(3).
Answers
Answer:
49
Step-by-step explanation:
Answer:6144
Step-by-step explanation:
If f(1)=6f(1)=6 and f(n)=4f(n-1)f(n)=4f(n−1) then find the value of f(6)f(6).
f(1)=
f(1)=
\,\,6
6
f(\color{darkgreen}{2})=
f(2)=
\,\,4f(\color{darkgreen}{2}-1)
4f(2−1)
=
=
\,\,4f(1)
4f(1)
=
=
\,\,4(6)
4(6)
Substitute f(1)=6
f(2)=
f(2)=
\,\,24
24
f(\color{darkgreen}{3})=
f(3)=
\,\,4f(\color{darkgreen}{3}-1)
4f(3−1)
=
=
\,\,4f(2)
4f(2)
=
=
\,\,4(24)
4(24)
Substitute f(2)=24
f(3)=
f(3)=
\,\,96
96
f(\color{darkgreen}{4})=
f(4)=
\,\,4f(\color{darkgreen}{4}-1)
4f(4−1)
=
=
\,\,4f(3)
4f(3)
=
=
\,\,4(96)
4(96)
Substitute f(3)=96
f(4)=
f(4)=
\,\,384
384
f(\color{darkgreen}{5})=
f(5)=
\,\,4f(\color{darkgreen}{5}-1)
4f(5−1)
=
=
\,\,4f(4)
4f(4)
=
=
\,\,4(384)
4(384)
Substitute f(4)=384
f(5)=
f(5)=
\,\,1536
1536
f(\color{darkgreen}{6})=
f(6)=
\,\,4f(\color{darkgreen}{6}-1)
4f(6−1)
=
=
\,\,4f(5)
4f(5)
=
=
\,\,4(1536)
4(1536)
Substitute f(5)=1536
f(6)=
f(6)=
\,\,6144
6144
\text{Geometric Sequence:}
Geometric Sequence:
Common ratio of 4
6,24,96,384,1536,6144, ...
6,24,96,384,1536,6144,...
\text{Final Answer:}
Final Answer:
6144
A snail can travel 390 inches in 5 hours.
How far does it travel in 1 hour?
Answers
Answer:
78 inches
Step-by-step explanation:
5 hours = 390 inches
1 hour = 390 / 5
1 hour = 78 inches
Therefore the snail travels 78 inches in 1 hour.
Hope this helps!
Find the Surface Area of this Prism?
Answers
Answer:
114ft
Step-by-step explanation:
3 times 3=9
9times 2=18
8 times 3=24
24 times 2=48
8 times 3 = 24
24 times 2 =48
48+48+18=114
P(C)= 0.02. What is the complement of P(C)?
Answers
Answer:
P'(C) = 0.98
Step-by-step explanation:
Given that,
P(C) = 0.02 (The probability of getting C)
We need to find the complement of P(C) i.e. P'(C).
We know that,
P(C)+P'(C)=1
P'(C) = 1-P(C)
= 1-0.02
= 0.98
So, the complement of P(C) is equal to 0.98.
Martha bought a 0.45-kilogram bottle of spice. She uses 60 grams a week. Is one bottle of spice enough for 9 weeks? Explain.
Answers
Answer: No.
Step-by-step explanation:
The reason why it is not enough is that 0.45 kilograms is 450 grams, and when you divided 450 by 9, you get 50, which is 10 less than 60. Therefore, 1 bottle of spice is not enough for 9 weeks.
Answer:
No
Step-by-step explanation:
Half of a kilogram or 0.5 is 500 grams.
The total grams for nine weeks (60 x 9) is 540
Since Martha bought a 0.45 kilogram bottle, which is less than a half, she doesn't have enough of the spice.
Martha would need a 0.54 kilogram bottle to have the right amount.
The zoo downtown has 9 times as many monkeys as elephants. They have 60 animals all together. How many elephants are there?
Answers
Answer:
6
Step-by-step explanation:
e = number of elephants
9 times as many monkeys as elephants
m = 9e
------------------------
60 animals all together
e + m = 60
e + 9e = 60
Combine like terms
10e = 60
Divide both sides by 10
e = 6
Answer: There’s technically no answer to this question, unless you specify that the zoo only has monkeys and elephants. If the zoo has more than two types of animal then the ratio doesn’t help because there are unknown variables.
However, if we knew that the zoo only has monkeys and elephants, then:
E = number of elephants
M = number of monkeys
M=9E
M + E = 60
9E+E= 60
10E = 60
E = 6
There are 6 elephants (and 54 monkeys).
If you role a die 60 times, how many times will i expect a 5 to roll? (based on theoretical probability)
Answers
Answer:
6
Step-by-step explanation:
Which point lies on the graph of y = -x-5?
O A (-5,0)
OB. (4.-9)
OC (-2,-3)
OD. (3,-2)
Answers
Answer:
A, B and C are on the graph
Step-by-step explanation:
Just plug the values into y = -x - 5 and see if the y are equal
A ( -5, 0)
0 = 5 - 5
0 = 0
B (4, -9)
-9 = -4 - 5
-9 = -9
C (-2, -3)
-3 = 2 - 5
-3 = -3
D (3. -2)
-2 = -3 - 5
-2 = -8
What is the initial value of the function represented by this graph?
O 1
O 5
O 6
O 7
Answers
Find the diameter and radius of the circle given the circumference.
C = 81.3 cm
d =
r=
Word Bank:
32.18
25.88
16.09 20.32
12.94 40.65
Answers
C=2 pie r
81.3/2pie=r
R=12.94
D=2r
D= 25.88
12 * 4 ÷ 6x(-8)
pls answer this question
Answers
Answer:
-64
Step-by-step explanation:
it's -64 the calculator works with the problem
A bag of marbles contains 4 red marbles and 4 green marbles. Each red marble was labeled with a different number, 1 through 4, and each
green marble was labeled with a different number, 1 through 4.
Which set represents the event, A, that Karen took a marble that was either green or had an even number?
Answers
I don’t understand this so can anyone help with this!?
Answers
Select 3 numbers to get the sum of 30, the numbers are 1, 3, 5, 7, 9, 11, 13, 15
Answers
i think there is a trick so the 3 nbs are 9+11+13=33
How's that we need 30
if we flip 9 we get 6
so the answer would be 6+11+13=30
Bill used a rain gauge to measure how much rain fell, in centimeters (cm), during a
rainfall.
(ANYONE WANNA HELP ME?)
Answers
Step-by-step explanation:
done hope this helped you