Answer:
C
Step-by-step explanation:
given:
m= -2 and (3, -1)
point-slope form: y-y1= m(x-x1)
y - (-1) = -2(x-3)
y + 1 = -2(x-3)
Answer:
C.
Step-by-step explanation:
A.) y - 1 = -2(x - 3)
y - 1 = -2x + 6
y = -2x + 6 + 1
y = -2x + 7
B.) y - 1 = -2(x + 3)
y - 1 = -2x - 6
y = -2x - 6 + 1
y = -2x - 5
C.) y + 1 = -2(x - 3)
y + 1 = -2x + 6
y = -2x + 6 - 1
y = -2x + 5
D.) y + 1 = -2(x + 3)
y + 1 = -2x - 6
y = -2x - 6 - 1
y = -2x - 7
The tables below represent different ratios of teaspoons of sugar to ounces of iced tea. Which table represents the greatest ratio of sugar-to-iced tea?
Answer:
Option (C)
Step-by-step explanation:
Option A.
Ratio of table spoons of sugar to ounces of iced tea = [tex]\frac{\text{Amount of sugar (in oz)}}{\text{Amount of ice tea (in oz)}}[/tex]
From the table attached,
Ratio = [tex]\frac{6}{24}[/tex]
= 1 : 4
Option B.
Ratio of sugar to ounces of iced tea = [tex]\frac{3}{18}[/tex]
= 1 : 6
Option C.
Ratio of sugar to ounces of iced tea = [tex]\frac{1}{3}[/tex]
= 1 : 3
Option D.
Ratio of sugar to ounces of iced tea = [tex]\frac{7}{24}[/tex]
= 7 : 24
≈ 1 : 3.43
Since, highest ratio means biggest fraction (with least denominator).
From the given options, biggest fraction is [tex]\frac{1}{3}[/tex].
Therefore, highest ratio of amount of sugar in (tsp) to number of ounces of ice tea is in Option (C).
A regular decagon is rotated n degrees about its center, carrying the decagon onto itself. The value of n could be:
1. 10 degrees
2. 150 degrees
3. 225 degrees
4. 252 degrees
Answer:
252°
Step-by-step explanation:
Given
Shape: Decagon
Required
Determine the value of n
A Decagon has 10 sides and a complete rotation takes 360°
First, we need to calculate the angle of each rotation as follows.
Each Rotation = ⅒ * 360°
Each Rotation = 360°
Next, we determine the possible values of n.
The statement is represented as "possible values of n" because n can assume infinite number of values.
However, n must be a multiple of 36
From the list of given options.
10, 150 and 225 are not multiples of 36
Only 252 happens to be a multiple of 36 from the list of given options.
Hence, option D answers the question [base on the given options]
A decagon is a ten-sided polygon.
The value of n could be 252 degree.
Since, A Decagon has 10 sides
The angle made in one complete rotation is 360 degree.
Now find angle made in each rotation is,
[tex]=\frac{360}{10}=36degree[/tex]
Now, we have to find possible values of n.
Since, n must be a multiple of 36
Apply hit and trial from given option.
We observe that from given options, only 252 degree is multiple of 36.
Therefore, value of n could be 252 degree.
Hence, option 4 is correct.
Learn more:
https://brainly.com/question/9549251
Kevin ate 3 apples. This represents 20% of the bag of apples. How many apples were originally in the bag?
find 426 plus 315. write the missing numbers on the open number line below
Answer:
426+315=741
Step-by-step explanation:
Answer:
426+315 = 741
Step-by-step explanation:
Write an equation in point -slope form with given information
slope is -5
point at (-3,8)
Answer:
Step-by-step explanation:
If we know the slope and a point, we can easily write it in point-slope form
[tex]y - y_1 = m(x-x_1)\\y - 8 = -5(x-(-3))\\y - 8 = -5(x+3)[/tex]
Solve for t in the equation
Answer:
t=1/5=0.2
Step-by-step explanation:
(5t+3)/4=1
5t+3=4
5t=1
t=1/5=0.2
Answer:
1/5
Step-by-step explanation:
5t+3/4=1
5t+3=1*4
5t+3=4
5t=4-3
5t=1
t=1/5
Triangle P'Q'R is the image of PQR under a transformation
Answer:
what is your question
Step-by-step explanation:
Answer:
Step-by-step explanation:
there is no picture....
12x² + 8x = 0
What are the zeroes?
Answer:
The zeros are at 0 and -2/3
Yoo how yall doinnnnn
Answer:
pretty good tired of the virus stuff but good
Step-by-step explanation:
Answer:
Im great... how bout you?
Step-by-step explanation:
ab (3a-5b) equals to?
Answer:
3a^2b-5ab^2
Step-by-step explanation:
Answer:
3a²b-5ab²
Step-by-step explanation:
Distribution method:
ab (3a-5b) = 3a²b-5ab²
Can somebody answer this
Which of the following can be used to represent 2x5 using repeated addition? Select all that apply.
5+5+5+5+5
5+5
2+2+2 + 2 + 2
2+2
Answer:
5+5
Step-by-step explanation:
5+5 and 2+2+2+2+2
two fives equal ten and five twos equal ten.
Use the equation to answer the question 12 equals 3x + 6 what is the value of x makes the equation true
Identify the hypotenuse.
A. MN
B. LN
Answer:
The hypotenuse is line segment MN.
Step-by-step explanation:
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The angle 90 degrees (also represented by the red line on angle L) always always is opposite to the hypotenuse. Since angle L is 90 degrees, it is opposite of the hypotenuse, which is MN.
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#teamtrees #WAP (Water And Plant)
The vehicle's fuel efficiency is at least 35 miles per gallon.
Use f to represent the vehicle's fuel efficiency (in miles per gallon).
Answer:
f ≥ 35
Step-by-step explanation:
Took the test on Aleks, it was right! :)
A passenger train travels 528 miles in 8 hours
Answer:
66 miles per hour
Step-by-step explanation:
528/8 = 66 miles per hour
Answer:
66 miles/hour.
Step-by-step explanation:
Its average speed is 528/8
= 66 miles/hour.
18. 4x +3=15+2x
Can someone help me solve this number and also 19,20,21,22,23,24,25
Answer:
[tex]{:}\longrightarrow[/tex][tex]\sf 4x+3=15+2x [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 4x-2x=15-3 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 2x=12 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac{12}{2}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x=6 [/tex]
__________________21-
[tex]{:}\longrightarrow[/tex][tex]\sf 3a-2=5+5a-7[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 3a-2=5a-2 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 3a-5a=-2+2 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf -2a=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf a={\dfrac {1}{-2}}[/tex]
_________________22-
[tex]{:}\longrightarrow[/tex][tex]\sf 11x-18=2+6x+1+2x [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 11x-18=8x+3 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 11x-8x=3+18 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 3x=21 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {21}{3}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x=7[/tex]
_________________23-
[tex]{:}\longrightarrow[/tex][tex]\sf e+3+e=40-(-2)+5e [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 2e+3=42+5e [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 2e-5e=42-3 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf -3e=39 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf e={\dfrac {39}{-3}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf e=-13 [/tex]
Which of the following equations would have to be the second equation so that the system has no solutions?
A. y = -x
B. 9y = 6x
C. y = x - 4
D. 6x - 4y = 6
Answer:
I put 9y=6x
Step-by-step explanation:
I say this because I’ve put all points in on Desmos graph and this is the best answer choice to me dk if I’m right .
A builder made a scale drawing of a rectangular room. The drawing has a length of 12 ½ cenmeters and a width of 7 ¾ cenmeters. The actual room will have a length of 56 ¼ meters. What will be the area of the actual room?
Answer:
18 / 6 = 3
The scale is 1:3
3 * 4.5 = 13.5
13.5 * 18 = 243 square feet
The answer is 243 square feet.
Step-by-step explanation:
Hope this helped!
hcf and lcm of 120 and 180, shown your work
The HCM and LCM of 120 and 180 are 360.
What is HCF and LCM?The Highest Common Factor (HCF) of two or more given numbers is the largest number that divides each of the given numbers without leaving any remainder. The Least Common Multiple (LCM) of two or more numbers is the smallest of the common multiples of those numbers.
Given are two numbers as -
120 and 180
We can write 120 and 180 as -
120 = 2 x 2 x 2 x 3 x 5
180 = 2 x 2 x 3 x 3 x 5
HCF of 120 and 180 will be equal to = 2 x 2 x 3 x 5 = 60
Now, we can find LCM using the formula -
LCM(a, b) = (a x b)/HCF(a, b)
LCM(a, b) = (120 x 180)/60
LCM(a, b) = 2 x 180 = 360
Therefore, the HCM and LCM of 120 and 180 are 360.
To solve more questions on HCF and LCM, visit the link below-
https://brainly.com/question/20739723
#SPJ2
2x+7=19 solving two-step equations
Answer:
x=6
Step-by-step explanation:
divide each term by 2 then simplify
Answer:
6
Step-by-step explanation:
First what you do is you subtract 7 from both sides to get 2x by itself.
2x + 7 - 7 = 19 - 7
2x = 12
Then you divide 2 from both sides to get x by itself.
2x/2 = 12/2
x = 6
Your answer is then x = 6.
Write an equation in slope-intercept form of the line that passes through the given points.
х
у
-2
2
0
1
2.
0
4
-1
Answer:
The slope-intercept form of a linear equation is written as y = mx + b, where m is the slope and b is the value of y at the y-intercept, which can be written as (0, b).
Step-by-step explanation:
Was i right?!?
HELP PLEASE ILL GIVE U 50 POINTS
Answer:
6x^2+2x
Step-by-step explanation:
Answer:
area of rectangle=2x×(3x+1)=6x²+2x
Can you find the slope-intercept of the line? Thank you!
Answer:
y = x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (0, 2) ← 2 points on the line
m = [tex]\frac{2-0}{0+2}[/tex] = [tex]\frac{2}{2}[/tex] = 1
The line crosses the y- axis at (0, 2) ⇒ c = 2
y = x + 2 ← equation of line
The diagram shows a triangle.
108°
42°
15c
What is the value of c?
Enter the first four terms.
Answer:
1/2, 2, 9/2, and 8.
Step-by-step explanation:
In this case, we have an explicit rule.
So, to find the nth term, we can simply substitute a value into our function and evaluate.
For the first term, n=1. Thus:
[tex]f(1)=\frac{(1)^2}{2}[/tex]
Evaluate:
[tex]f(1)=\frac{1}{2}[/tex]
Hence, our first term is 1/2.
For the second term, n=2. Thus:
[tex]f(2)=\frac{(2)^2}{2}[/tex]
Evaluate:
[tex]f(2)=\frac{4}{2}=2[/tex]
Hence, the second term is 2.
For the third term, n=3. Thus:
[tex]f(3)=\frac{3^2}{2}=\frac{9}{2}[/tex]
So, the third term is 9/2.
And for the fourth term, n=4. Thus:
[tex]f(4)=\frac{4^2}{2}=\frac{16}{2}=8[/tex]
Therefore, the fourth term is 8.
Hence, our first four terms are: 1/2, 2, 9/2, and 8.
(I need to make sure)
Which pair of numbers has the greatest GCF?
A = 140 and 210
B = 130 and 390
C = 240 and 320
D = 550 and 880
how many times bigger is 2 times 10 to the 10th power than 150 million
Answer: 2 x 10^10 =20000000000
and 150,000,000 is 150 million so you subtract and you get
19,850,000,000
Step-by-step explanation:
please help and thanks
Which number line correctly shows –3 – 1.5?
Answer:
A
Step-by-step explanation: