What is the gradient of the graph shown?Give your answer in its simplest form.
Answers
Answer:
gradient = 1
Step-by-step explanation:
calculate the gradient using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (2, 0) ← 2 points on the line
m = [tex]\frac{0-(-2)}{2-0}[/tex] = [tex]\frac{0+2}{2}[/tex] = [tex]\frac{2}{2}[/tex] = 1
[tex]\underline{\underline{\large\bf{Solution:-}}}\\[/tex]
[tex]\longrightarrow[/tex]By observing the graph of the line , we can observes that it intersects x- axis at 2 and y -axis at -2 i.e., it passes through (2,0) and (0,-2) respectively.
[tex]\textsf{The gradient of a line passing through two}[/tex][tex]\sf{given \: points \:(x_1,y_1) \:and \:(x_2,y_2) \: is \:given \: by - }[/tex]
[tex]\green{ \underline { \boxed{ \sf{ Gradient =\frac{y_2-y_1}{x_2-x_1}}}}}[/tex]
Here,
[tex]\sf{x_1= 2}[/tex][tex]\sf{y_1=0}[/tex][tex]\sf{x_2=0}[/tex][tex]\sf{y_2= -2}[/tex]Putting Values:-
[tex]\begin{gathered}\\\implies\quad \bf Gradient =\frac{-2-0}{0-2} \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \bf \frac{\cancel{-2}}{\cancel{-2}} \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \bf 1 \\\end{gathered} [/tex]
>>The gradient of the graph shown is 1
Related Questions
The area of the triangle below is 2/15 square centimeters. What is the length of the
base? Express your answer as a fraction in simplest form.
Answers
Let's set the base of the triangle to x.
(x* 3/5) / 2= 2/5
Now just solve
x*3/5=4/5
x=4/3
The base has length 4/3= =1 1/3
Hope it helped!
Find the value of x.
Answers
Answer:
x=128
Step-by-step explanation:
Answer:128
Step-by-step explanation:
The angles in a trapezoid add up to 360, so if you add all the ones already given then subtract them from 360 you get 128.
6
Find the length of the hypotenuse in the following figure,
16 km
12 km
Figure not drawn to scale
I
C=
Kilometers
Answers
Answer:
c = 20 Km
Step-by-step explanation:
using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other two sides , that is
c² = 12² + 16² = 144 + 256 = 400 ( take square root of both sides )
c = [tex]\sqrt{400}[/tex] = 20
Which situation can be represented by the inequality x < 56? A) Tina's dog weighed 56 pounds two months ago. He gained weight and weighs x pounds now. B) Tina has x dollars. She has more than enough money to buy a camera that costs $56. C) Tina walks for 56 minutes. She walks for the same amount of time as her sister, who walks for x minutes. D) Tina's height is x inches. She is shorter than her brother, whose height is 56 inches.
Answers
Given:
The inequality is [tex]x<56[/tex].
To find:
The correct situation for the given inequality.
Solution:
Tina's dog weighed 56 pounds two months ago. He gained weight and weighs x pounds now. It means, weighs x pounds is more than 56 pounds.
[tex]x>56[/tex]
So, option A is incorrect.
Tina has x dollars. She has more than enough money to buy a camera that costs $56. It means, amount $x is more than required amount $56.
[tex]x>56[/tex]
So, option B is incorrect.
Tina walks for 56 minutes. She walks for the same amount of time as her sister, who walks for x minutes. It means, x is equal to 56.
[tex]x=56[/tex]
So, option C is incorrect.
Tina's height is x inches. She is shorter than her brother, whose height is 56 inches. It means, Tina's height is x inches is less than her brother's height, i.e., 56 inches.
[tex]x<56[/tex]
Therefore, the correct option is D.
Answer:
11
Step-by-step explanation:
I'm in K12 and this is right
An international calling plan charges a rate per minute plus a connection fee. You can make a phone call from France to the United States for $0.22 per minute plus a $0.99 connection fee. Write a linear equation that could be used to represent the cost of an x minute phone call.
Answers
Answer:
y=0.22x+0.99
Step-by-step explanation:
Notice that in this problem they are giving us a rate $0.22 per minute. This means that whenever we multiply that rate by the number of minutes used, we will get the total amount of money spent. In this case, since we don't know the amount of minutes (variable) we will call them x, so the first part of the equation should be:
0.22x
the connection fee is $0.99, which means that no matter the time you take talking by the phone, you will be charged a constant value of $0.99, so we can add that to the previous value we got:
0.22x+0.99
and for the equation to be complete, we can set variable y= to the total cost of the call, so the whole equation would be:
y=0.22x+0.99
For questions 7 – 10, choose the figure that is most likely the next step in the sequence.
Answers
Answer:
Step-by-step explanation:
7) First shape has 3 sides; second figure has 4 sides and the third shape has 5 side. In this way, the nest shape should have 6 sides
Answer: B
8) C
Simplify the expression below. Show all steps.
√4x^2 ÷ 3y
Answers
Answer:
4x÷3y
Step-by-step explanation:
√4x^2 ÷ 3y
√16x÷3y
4x÷3y
Hoped it helped :)
A small lizard is 5/1
inch long. A larger lizard is 5 1/5 times as long. How long is the larger lizard?
Answers
Answer:
26 inches long.
Step-by-step explanation:
5/1 is just 5 and 5 1/5 is 5.2 and you just multiply 5.2 by 5 :5.2x5=26.0
what is 20/64 written as decimale
Answers
Answer:
20 / 64 = 0.312.
Step-by-step explanation:
Divide 20 by 64 to get the number as a decimal. 20 / 64 = 0.312. That's all there is to it. After all, a fraction is another way of expressing a division.
[tex]\huge\purple{——————————}[/tex]
[tex] \large \bold{QUESTION:}[/tex]
What is [tex]\rm {} \frac{20}{64}[/tex] written as decimal?
[tex] \\ [/tex]
To convert a fraction into decimal, we need to:
[tex]\rm\orange{divide \: the \: numerator \: to \: the \: denominator} [/tex]
[tex] \\ [/tex]
[tex] \red{ \frac{20}{64} } \\ \\ \red{20 \div 64} \\ [/tex]
[tex] = \green{0.3125}[/tex]
[tex] \large \bold{ANSWER:}[/tex]
0.3125[tex]\huge\purple{——————————}[/tex]
#CarryOnLearning
if the hypothesis test is left-tailed use the ___ column with a ___ sign
Answers
Answer:
"one tail, alpha"
and
"negative"
You have a half pizza leftover in the refrigerator. The first night, the pizza goes to the refrigerator and eats 20% of the pizza in hope that no one notices the missing pizza. The second night the pizza pirate returns and eats 20% of the remaining pizza. the pattern continues for the next few days.
Answers
[tex]Answer:[/tex]
The pizza pirate ate the whole pizza!
2(days) + 3(a few days) = 5
20 x 5 = 100%
Therefore, the whole pizza is gone. Don't worry, I'll buy a new one!
HELp due in 10 mins Thanksnsssss
Answers
Answer:
this is how!!!
Step-by-step explanation:
so since it says “unit price” (also says dollar per bananas) all you have to do is make a variable and substitue
So:
Let number of bananas be “ b “
0.50b
0.5(4)
2
2 dollars
It the same for the rest except the last two
Since you dont know the number of bananas, let b be unknown, but may it equal to the cost given. For example:
10 = 0.5b
Since you dont know b
To solve for b, you have to make b be all by itself (like me when my cousin is sleeping on the other side of the world ;’) )
To do that you have to divide 0.5 to both sides
10 / 0.5 = 0.5b / 0.5
This will remove 0.5 from the right side and isolate b
Since b and 0.5 are being multiplied you can factor 0.5 out from the right side
10 / 0.5 = b
Now simplify
B = 20 bananas
D) A rectangular garden has a width of 1.2 meters and a length of 3.5 meters. For each square meter of space in the garden, Leo needs to use 0.075 kilogram of fertilizer. He finds the total amount of fertilizer needed for the garden using the work below. Leo is incorrect. Use the drop-down menus to explain Leo's mistake and the actual amount of fertilizer needed for the garden. Area of the Garden Amount of Fertilizer 1.2 x 3.5 60 + 360 4.2 X 0.075 21 0 + 2940 0.2 150 4.2 0
Answers
The total amount of fertilizer needed for the rectangular garden is 0.315 kg.
What is the total amount of fertilizer needed?The first step is to determine the area of the garden.
Area of the garden = length x width
=1.2 x 3.5 = 4.2
The second step is to multiply 0.075 by 4.2
0.075 x 4.2 = 0.315 kg
To learn more about multiplication, please check: https://brainly.com/question/3385014
A group of friends were working on a student film. They spent $546 on props, which was 39% of their total budget. What was the total budget for their student film?
Answers
Answer:
Step-by-step explanation:
Spent=$546
Budget=100%
=39/100*546
204% as a fraction? who every now put it in comments
Answers
Answer:
204/100 = 51/25= 2 1/25 that is the answer
Step-by-step explanation:
204/100
divide both numerator and denominator by 4
204÷4 = 51
100÷4 = 25
51/25
=2 whole number 1/25
PLEASE MARK BRAINLIEST
help... A boy who is 3 feet tall can cast a shadow on the ground that is 7 feet long. How tall is a man who can cast a shadow that is 14 feet long?
Answers
Answer: 6 feet tall.
Step-by-step explanation:
If the boy who is 3 feet tall casts a shadow that is 7 feet long and then another person casts a shadow that is 14 feet long that would mean that he is 6 feet because 7+7 is 14 so all you would have to do it 3+3 to get your answer.
What is the value of X?
(x + 11)
(3x + 7)
Answers
Answer:
im not sure if this is correct but:
Step-by-step explanation:
4x+18
360= 4x+18
360-18=342
342/4 is 85.5
to check work
(85.5*4) + 18
=360
(X+11)
+(3x+7)
————
(4x+18)=180
180
- 18
——
162/4= 40.5
Find the angle of x please!
Answers
Check the picture below.
Make sure your calculator is in Degree mode.
A 0.13
B 0.17
C 0.39
D 0.45
Answers
How long will it take to count to 3,140,000 by 1's?
show you work!
explain your answer!
Answers
Answer:
A long time
Step-by-step explanation:
A long time
A long time
please answer quickly check the image below
Answers
C.
Number of half-unit cubes = 18
V = 2 1/4 cubic units
volume of rectangle: length * width * height
[tex]\hookrightarrow 1\dfrac{1}{2} * 1\dfrac{1}{2} *1[/tex]
[tex]\hookrightarrow \dfrac{3}{2} * \dfrac{3}{2} *1[/tex]
[tex]\hookrightarrow \dfrac{9}{4}[/tex]
[tex]\hookrightarrow 2\dfrac{1}{4}[/tex]
To find number of half units cubes:
volume * 8 half-unit in every cube
[tex]\rightarrow 2\dfrac{1}{4} *8[/tex]
[tex]\rightarrow \sf 18[/tex]
Help please I’m really struggling
Answers
Answer:
It’s d
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
Because the inequality sign is just great than and not great than or equal to the circle will be not solid. The line will be facing to the left because that is which way the sign is pointing >>>>>.
Please help with these!!
Answers
Step-by-step explanation:
Question 8: Ramiro is correct because the triangles are similar by AA (the measure of angle C in triangle ABC is 180-62-39=79 degrees). Julie is wrong because you would need at least 1 pair of corresponding congruent sides to prove the triangles congruent (angles alone are not sufficient)
The question with the angle diagram:
Since angles A and B are supplementary (since they form a linear pair), their measures add to 180 degrees. Hence, the measure of angle B is 180-140=40 degrees.
The measure of angle E can be found by the same logic, and has a measure of 50 degrees.
Since the sum of the measures of the angles of a triangle is 180 degrees, the measure of angle C is 180-40-50=90 degrees.
Hence, since angles C and D are supplementary, angle D has a measure of 90 degrees.
What kind of expression is:
Answer quickly, correct answer will get brainlist
Answers
Answer:
The answer is A. ( x-3/x-6 x X^3 + 5/x+1 ) is rational because it is a product of rational expressions since rational expressions are closed under multiplication.
Step-by-step explanation:
GEOMETRY HELP!!!!!!!!
Why is he wrong?
Answers
Answer:
He is wrong since reflecting the image across the x-axis means reflecting it on the axis that is horizontal and reflecting it over the y-axis means reflecting it on the y-axis which is verticle.
Answer:No, it would not be the same if you reflect it from the X axis.
Step-by-step explanation:
because the the shape is not "on" the X axis. When you reflect the shape across the X axis, then you will not really get a shape. It's easier if you imagine you put a mirror on the x axis and looked at it. Malik would have to shift the whole shape down so that the current points (3,1) and (-3,1) would change to (3,0) and (-3,0) Also shifting down the other two points too. Reflecting it is like if you had the shape in paper and you folded it in half. If it matches perfectly, then you know that you have a match and that it is reflecting. If it doesn't fold perfectly, then it doesn't reflect. So if you folded the shape from the X axis, you wouldn't get a perfect match so he is wrong. Does it help?
A fruit punch recipe uses 4 cups of orange juice for every 1 cup of cranberry juice. Select the
statement about the recipe that is true
a The ratio of orange to cranberry juice is 4:5.
b. The ratio of cranberry to total fruit juice is 1:4.
The ratio of cranberry to orange juice is 1:4.
d. The ratio of orange to cranberry juice is 1:4.
Answers
Answer:
Step-by-step explanation:
A fruit punch recipe uses 4 cups of orange juice for EVERY 1 cup of cranberry juice.
This means that if i wanted 2 cups of cranberry juice, i also need double the amount of orange juice, which would be 8 cups.
In this way we can say the ratio of orange juice to cranberry juice would be 4:1.
This is the same as saying for every 1 cup cranberry juice, we need 4 cups orange juice . This is written as 1:4
After a tournament, members of a
soccer team went to dinner. They
ordered 10 pizzas that cost $18.25
each and 20 sports drinks for $2.50
each. Tax was included in the prices
and they left a $35. tip. How much did they spend in all?
Answers
Answer:
$267.50
Step-by-step explanation:
This is the answer for 18.25 each and 2.50 each
If you mean 10 pizza for 18.25 combined and 20 drink for 2.50 combined then $55.75
what is the area of the parallelgram
Answers
Answer: 40
Step-by-step explanation:
Karen wants to buy 5 pounds of baby carrots. the packages of carrots each weigh 14 ounces, how many will she need to buy to reach 5 pounds?
Answers
Please help me!!!!!!!
Answers
Answer:
Are they looking for the same number on both x and y?
Step-by-step explanation:
Please respond and it will help me