Which statement best explains the relationship
between lines FG and HJ?
O They are perpendicular because their slopes are
equal.
O They are perpendicular because their slopes are
negative reciprocals.
O They are not perpendicular because their slopes are
equal.
O They are not perpendicular because their slopes are
not negative reciprocals.
Answers
Answer: d- they are not perpendicular because their slopes are not negative reciprocals.
Step-by-step explanation:
The statement best explains the relationship between lines FG and HJ is They are not perpendicular because their slopes are not negative reciprocals, the correct option is D.
What is the Point-slope form?The equation of the straight line has its slope and given point.
If we have a non-vertical line that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equation
y-y₁ = m(x-x₁)
Which is the required equation of a line in a point-slope form.
We are given that;
The graph of line FG and HJ
Now,
The slope of line FG can be found by using the points (-4, 1) and (0, -2):
m = (-2 - 1) / (0 - (-4)) = -3 / 4
The slope of line HJ can be found by using the points (-4, -2) and (0, 4):
m = (4 - (-2)) / (0 - (-4)) = 6 / 4 = 3 / 2
The slopes of lines FG and HJ are not negative reciprocals of each other, since -3/4 is not equal to -1/(3/2) or 2/3. So, lines FG and HJ are not perpendicular.
Therefore, the answer will be they are not perpendicular because their slopes are not negative reciprocals.
Learn more about slope here:
https://brainly.com/question/2503591
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Related Questions
find the geometric mean between 12 and 20 find the answer in radical form or round to the nearest tenth if necessary
Answers
Geometric mean of two numbers is squre root of thir product.
Given numbers are 12,20
Geometric mean = √(12*20)
= √240
= 15.49
= 15.5
Mark as brainlist
the area of a room is 55.929 square meters if its width is 5.43 meters, what is its length
Answers
Answer:
10.3m
Step-by-step explanation:
area of a rectangle is width times length, so you have to rearrange the equation
55.929 ÷ 5.43 = 10.3
Answer:
10.3 meters
Step-by-step explanation:
Area = length x width
55.929 = ? x 5.43
Divide 5.43 from 55.929
55.929/5.43 = 10.3 meters
Check = 10.3 x 5.43 = 55.929
Using the order of Operations, find the soultion. Evaluate the Expression 17 + 32 - 5 x 4
Answers
Answer:
19
Step-by-step explanation:
49 - 20
19
hope it helps u
Answer: 29
Explanation: PEMDAS is
P=Parentesis
E=Exponents
M=Multiplication
D=Division
A=Addition
S=Subtraction
That's the oder of operations then it's -5×4=-20 and then 17+32=49 and 49-20=29
Pls help I have homework and it’s for a graded
Answers
Answer:
1.) 3
2.) 15
3.) 12
4.) 12
5.) 5
6.) 6
7.) 7
Please show how to do
Answers
Answer:
Slope = -3.5
Step-by-step explanation:
Find the slope using any two given pair of values. Let's use (6, -21) and (12, -42).
Slope = ∆y/∆x
Slope = (-42 -(-21)) / (12 - 6)
Slope = -21/6
Slope = -3.5
What is the area of the shaded region?
Answers
Answer:
approx 54.94
Step-by-step explanation:
area of square is 16^2=256
area of circle is pi(8^2)= approx 201.06
256-201.06=54.94
Answer:
[tex] 55.04 \: {cm}^{2} [/tex]
Step-by-step explanation:
Side length of square = 16 cm
Diameter of circle = Side of square = 16 cm
Radius of circle = 16/2 = 8 cm.
Area of the shaded region =
Area of square - Area of circle
[tex] = {16}^{2} - \pi\times {8}^{2} \\ \\ = 256 - 3.14 \times 64 \\ \\ = 256 - 200.96 \\ \\ = 55.04 \: {cm}^{2} [/tex]
Emily made blueberry muffins for her scout troop's bake sale. For her first batch, she used 1 cup of blueberries and 2 cups of oats. She didn't think that would make enough muffins, so she made a larger second batch with 3 cups of blueberries and 6 cups of oats. When she took the last tray out of the oven, her little brother asked if he could have a muffin with lots of blueberries as a snack. Which batch had a greater ratio of blueberries to oats? The first batch had the greater ratio. The second batch had the greater ratio. Neither. The batches had the same ratio.
Answers
Answer:
neither, they are both the same
Step-by-step explanation:
Answer:
Neither, the batches had the same ratio.
Step-by-step explanation:
:)
Find all the zeros and their multiplicities for the function. d(x)=x^3+3x^2-4x-12
Answers
Step-by-step explanation:
1) x³+3x²-4x-12=x²(x+3)-4(x+3)=(x²-4)(x+3)=(x-2)(x+2)(x+3).
2) zeros of the given functions are: -3; -2; 2.
Find (-21)+(-13)+20.
Answers
Answer:
14
Step-by-step explanation:
-21+-13+20=14
This is true because when subtracting negatives by negatives you pretty much add them and then when you add a positive to a negative you are technically removing the negative by the amount you are adding.
In short its kind of like using inverse operation in a way.
Hope this helps and have a nice day
Also may I please have a brainliest!!!
Little help ?please 5 points
Tawna and Donnie Milled cartons with bottles, Tawna put in 10 bottles and Bonnie put in a bottles, How many bottles does each carton hold?
Answers
Answer:
I Think E But Im Not Sure About It
What value of k makes the two expressions equivalent: K*x +6 = x +2
+4(x+1) *
2
4
6
8
1
Answers
Answer:
5
Step-by-step explanation:
the options are wrong....... k
a submarine travels at an elevation of -75 3/4 ft relative to sea level then its elevation changes by - 16 3/8 what is the new elevation of the submarine
Answers
Answer:
[tex]New = -92\frac{1}{8}[/tex]
Step-by-step explanation:
Given:
[tex]x = -75\frac{3}{4}[/tex] --- Position
[tex]\triangle x = -16\frac{3}{8}[/tex] --- Change
Required
Find the new position
The new position is calculated as:
[tex]New = x + \triangle x[/tex]
[tex]New = -75\frac{3}{4} - 16\frac{3}{8}[/tex]
[tex]New = -75.75 - 16.375[/tex]
[tex]New = -92.125[/tex]
[tex]New = -92\frac{125}{1000}[/tex]
[tex]New = -92\frac{1}{8}[/tex]
How many solutions does this equation have? 3x + 2 = 3x + 2
Answers
Answer:
There are no solutions to this equation because we will end up in 0=0 or if we do other methods, you will get something = 0
Hope it helps :)
2.
(06.01)
Which of the following shows the correct evaluation for the exponential expression 6 over 7 to the power of 2 ? (2 points)
6 over 7 plus 2 equals 2 and 6 over 7
6 over 7 times 2 equals 12 over 7 which equals 1 and 5 over 7
6 over 7 times 6 over 7 equals 36 over 49
6 over 7 divided by 2 equals 6 over 14
Answers
Answer:
C/3rd
Step-by-step explanation:
00:00
Anthony reads 1/2 chapter of his science book each night. He has 4 chapters left to read
How many nights will it take Anthony to finish the book? Enter your answer in the box.
nights
Answers
The number of nights that are needed to cover 4 chapters of the science book by Anthony is 8.
What are ratio and proportion?A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0. A proportion is an equation in which two ratios are set equal to each other.
Anthony reads 1/2 chapter of his science book each night.
He has 4 chapters left to read.
[tex]\begin{aligned} \rm \dfrac{1}{2} \ chapeter &\rightarrow 1 \rm \ night\\\\1 \ \rm chapter &\rightarrow 2 \ \rm nights\\\\4 \ \rm chapters &\rightarrow 8 \ \rm nights \end{aligned}[/tex]
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
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What is the Pythagorean theorm
Answers
Answer:
The Pythagorean theorm is c=a2+b2
Step-by-step explanation:
Answer:
the pythagorean theorm is a² + b ² = c ²
Step-by-step explanation:
What is the measure of each base angle of a 140 degree
Answers
Answer:
The two possible cases are
(i) the base angles are each 40° and the vertex angle is 100°,
(ii) the base angles are each 70° and the vertex angle is 40°.
Step-by-step explanation:
7. A store sells various types of electronics. Each item was discounted the same
percent. The graph and table show the linear relationship between the sale
price of each item and the original price of each item.
Electronics Sale
Item
TV
POD
Computer Game
Answers
Answer:
bbb
Step-by-step explanation:
(7.2 x ten to the third) - (2.2 x ten to the fifth)
Answers
Answer:
-212800
Step-by-step explanation:
7.2 × 10³ = 7.2 × 1000 = 7200
2.2 × 10 to the power 5 = 2.2 × 100000 = 220000
7200 - 220000 = -212800
In ΔOPQ, the measure of ∠Q=90°, QO = 27 feet, and OP = 82 feet. Find the measure of ∠P to the nearest degree.
Answers
Answer:
19 degrees (see attached)
Step-by-step explanation:
Answer:
19 degrees
Step-by-step explanation:
I need help with this answer please
Answers
Answer:
The answer is C
Step-by-step explanation:
a. 4⁰= 2⁰
b. 4^-1 < 2^-1
c. 4¹ > 2¹ (CORRECT)
d. 4⁰ = 2⁰
Answer: x > 0
Step-by-step explanation: 4^x > 2^x graphed is x > 0
If i have 2 apples, how many apples would I have if i divided 2 by 7 ( the number of crates the apples are in)
Answers
Answer:
You can't divide 2 by 7 unless you will round and need a decimal because it will equal 0.28571428571 but if you mean 7 divided by 2 then that would get you 3.5
Step-by-step explanation:
Write the ratio for sin x, cos x and tan x
Answers
Answer:
Sin X = 15/17
Cos X = 8/17
Tan X = 15/8
Step-by-step explanation:
Recall, SOHCAHTOA.
Thus:
Sin X = opp/hyp
opp = 15
hyp = 17
✅Sin X = 15/17
Cos X = adj/hyp
Adj = 8
Hyp = 17
✅Cos X = 8/17
Tan X = opp/adj
Opp = 15
Adj = 8
✅Tan X = 15/8
The 3 points plotted below are on the graph of y=b^x. Based only on these 3 points, plot the 3 corresponding points that must be on the graph of y=log_b x by clicking on the graph.
Answers
Answer:
Step-by-step explanation:
j < –0.65 The variable in the inequality is .
Answers
Answer:
NO SE PERO LOS AMO A TODOS CHIKISTRIKIS
Step-by-step explanation:
SORRY NO SPEAK ENGLISH
A bike rental company charges based on the distance you travel. Their rates are represented in the graph where y is cost and x is miles
Answers
Have a good day or night! Hope your safe out there
what is the unit rate for 350 miles in 7 hours
Answers
Answer:
50 miles per hour
Step-by-step explanation:
Just divide 350 by 7
the unit rate
Pleeeeeeease help me! However helps me first gets brainliest points!
Simplify the following algebraic expressions:
a. - 6x + 5 + 12x -6
b. 2(x - 9) + 6(-x + 2) + 4x
c. 3x2 + 12 + 9x - 20 + 6x2 - x
d. (x + 2)(x + 4) + (x + 5)(-x - 1)
e. (x+8)(x+9)+(x+1)(-x-6)
Answers
Answer:
A) 6x-1
B) -6
C) 9x2+8x-8
D) 3
E) 10x+66
Step-by-step explanation:
Write a polynomial in standard form with the zeros –4, 0, 1, and 4.
Answers
Answer:
uhhm
Step-by-step explanation:
....
The required polynomial in standard form with zeros –4, 0, 1, and 4 is x⁴- x³ - 16x²+16x
Polynomial functions are functions that have a leading variable of 3 and above.
Given the zeros of a polynomial as -4, 0, 1, and 4, their corresponding factors will be:
(x+4)), x-0, x-1 and x - 4
To get the polynomial function required, we will take the product of the factors as shown:
= x(x-1)(x+4)(x-4)
= (x²-x)(x²-4²) (Note that (x+4)(x-4) is from different of two square)
f(x)= x⁴-16x²-x³+16x
Rearranging
f(x) = x⁴- x³ - 16x²+16x
Hence the function x⁴- x³ - 16x²+16x gives the required polynomial in standard form.
Learn more here: https://brainly.com/question/14263896
Neda sells televisions. She earns a fixed amount for each television and an additional $15 if
the buyer gets an extended warranty. If Neda sells 19 televisions with extended warranties, she
earns $1,615. How much is the fixed amount Neda earns for each television?
Answers
Answer:
$70.
Step-by-step explanation:
Since Neda sells televisions, and she earns a fixed amount for each television and an additional $ 15 if the buyer gets an extended warranty, if Neda sold 19 televisions with extended warranties and earned $ 1,615, to determine how much is the fixed amount Neda earns for each television must perform the following calculation:
(19 x 15) + X = 1615
285 + X = 1615
X = 1330
1330/19 = 70
Thus, the fixed amount Neda receives for each television is $70.
Answer: $70
Step-by-step explanation:
Since Neda sells televisions, and she earns a fixed amount for each television and an additional $ 15 if the buyer gets an extended warranty, if Neda sold 19 televisions with extended warranties and earned $ 1,615, to determine how much is the fixed amount Neda earns for each television must perform the following calculation:
(19 x 15) + X = 1615
285 + X = 1615
After this step, you can see that the x is already isolated and no number next to it. This is a good thing because you only need to subtract 285 on both sides.
x = 1330
Then...
1330/19 = 70.
Thus, the fixed amount Neda receives for each television is $70.
Your welcome
Marley (honors student)
