Line CD passes through points C(3, 5) and D(6, 0). What is the equation of the line CD in standard form?
Answers
Answer:
the answer is 5x - 3y = 30!!
Related Questions
Wendy brought 4 cakes and 2 pies for $20. The cost of a cake is twice the cost of 1 pie. A) What was the cost of one cake b)What was the cost of 1 pie?
Answers
Answer:
a. The cost of one cake is $4.
b. The cost of one pie is $2.
Step-by-step explanation:
Let the cost of cake be C.Let the cost of pie be PC = 2P .....equation 1
4C + 2P = 20 .....equation 2
Substituting eqn 1 into eqn 2, we have;
4(2P) + 2P = 20
8P + 2P = 20
10P = 20
P = 20/10
Pie, P = $2
Next, we would determine the cost of a cake;
From equation 1;
C = 2P
Substituting the value of "P" we have;
C = 2 * 2
Cake, C = $4
Therefore, we would have the following answers;
a. The cost of one cake is $4.
b. The cost of one pie is $2.
Check:
From equation 2;
4C + 2P = 20
4(4) + 2(2) = 20
16 + 4 = 20
20 = 20
what is constant in graphing ?
Answers
Answer:
the constant is the number without an x attaches to it.
Ex:
y = 2x + 9
9 is a constant because it is not attached to any x
y = x^3 + 2x^2 + 10x + 19
19 is a constant because it is not attached to any x
What is the equation of the graph ? ILL pay
Answers
Answer:
Step-by-step explanation:
You have it right it is 6^x -3
You have the right idea, but you don't need to type in the "y=" portion since that is already taken care of. So you just need to type in -3 + 6^x
F(x) = 6x+2, find f (x+3)
Answers
Answer:
6x+20
Step-by-step explanation:
F(x) = 6x+2
f(x+3) means replace x with x+3
F(x+3) = 6(x+3)+2
= 6x+18+2
= 6x+20
Answer:
A; F(x+3) = 6x^2 + 20x + 6
Step-by-step explanation:
To find it you just would multiply F(x) onto the other side. So it would look like this:
F(x+3) = 6x + 2 (x+3)
F(x+3) = 6x^2 + 2x + 18x + 6 *combine like terms getting you
F(x+3) = 6x^2 + 20x + 6
Hope this helped!!
Someone, please help me on this one
Answers
Answer:
D
Step-by-step explanation:
(f + g)(x)
= f(x) + g(x)
= 4x² + 7x - 3 + 6x³ - 7x² - 5 ← collect like terms
= 6x³ - 3x² + 7x - 8
Answer:
D. (f + g )( x ) = 6x³ - 3x² + 7x - 8
Step-by-step explanation:
Given :-
f ( x ) = 4x² + 7x - 3.g ( x ) = 6x³ - 7x² - 5.To Find :-
( f + g ) ( x ).Solution :-
(f + g )( x ) = 4x² + 7x - 3 + 6x³ - 7x² - 5.
Arranging like terms.
(f + g )( x ) = 6x³ - 7x² + 4x² + 7x -5 - 3
Combine like terms.
(f + g )( x ) = 6x³ - 3x² + 7x - 8
if sectheta=13/12 and 270°<theta<360°, then tantheta=
Answers
Answer:
this should be 450° hahah sorry if I am wrong I don't know!
Determine what type of model best fits the given situation:
The temperature of a cup of coffee decreases by 5 F every 20 minutes.
A. none of these
B. quadratic
C. exponential
D. linear
Answers
Answer:
T = -t / 4 + T0 where t is the temperature in minutes elapsed, T is the final temperature, and T0 is the initial temperature
This is a linear equation in T and t
(-1 / 4 represents -5 deg / 20 min = - 1 deg / 4min
The given situation is linear equation in T and t. so option D is correct option.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
The given situation:
The temperature of a cup of coffee decreases by 5 F every 20 minutes.
T = -t / 4 + T0
where t is the temperature in minutes elapsed.
T is the final temperature.
T0 is the initial temperature.
We need to find the type of model best fits the given situation.
(-1 / 4 represents -5 deg / 20 min = - 1 deg / 4min
Therefore, The given situation is linear equation in T and t. so option D is correct option.
Learn more about equations here;
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Estimate the sum of 7.2 + 7.3 + 6.9 + 6.8.
Answers
Answer:
28
Step-by-step explanation:
7.2 is rounded down to 7, 7.3 is rounded down to 7, 6.9 is rounded up to 7, and 6.8 is rounded up to 7. Then you can add 7+7+7+7 to get an estimation of 28.
Which of the following is not a real number?
Answers
Answer:
D
Step-by-step explanation:
Answer:
-4
Step-by-step explanation:
A landscape-supply company sells mulch at a rate of $30 per cubic yard. What price does the company charge for 54 cubic feet of mulch? (1 yard = 3 feet.
$54
$60
$810
$1,620
Answers
Answer:
$60
Step-by-step explanation:
The details given the in the question are;
The rate at which the landscape-supply company sells each cubic yard of mulch = $30 per cubic yard
The price the company charges for 54 cubic feet of mulch = Required
The factor for converting yard to feet is 1 yard = 3 feet
Therefore;
1 cubic yard = 1 yard × 1 yard × 1 yard = 3 feet × 3 feet × 3 feet = 27 cubic feet
∴ 2 cubic yard = 2 × 1 cubic yard = 2 × 27 cubic feet = 54 cubic feet
1 cubic yard = $30
∴ 2 cubic yard = 54 cubic feet = 2 × $30 = $60
What is the measure of m
Answers
The answer is 9 bc it must be longer than the base of the trianngle
what is the equation of the following line (1,5) and (-1,-5) written in slope-intercept form
Answers
Answer: y = 5x
Step by step process: Use the slope form and then substitute in the equation y = mx + b.
The relationship between degrees Fahrenheit (F) and degrees Celcius (C) is given by the formula straight F space equals space 9 over 5 space C space plus space 32. What is the Celcius temperature when the Fahrenheit temperature is 41? Round answer to the nearest whole number. 55 5 -9 41 16
Answers
Answer:
[tex]C = 5[/tex]
Step-by-step explanation:
Given
[tex]F = \frac{9}{5}C + 32[/tex]
Required
Find C when [tex]F = 41[/tex]
We have:
[tex]F = \frac{9}{5}C + 32[/tex]
Substitute 41 for F
[tex]41 = \frac{9}{5}C + 32[/tex]
Collect like terms
[tex]\frac{9}{5}C = 41- 32[/tex]
[tex]\frac{9}{5}C = 9[/tex]
Multiply both sides by 5/9
[tex]C = 9 * \frac{5}{9}[/tex]
[tex]C = 5[/tex]
Which values for h and k are used to write the function f(x) = x2 + 12x + 6 in vertex form?
h=6, k=36
h=-6, k=-36
h=6, k=30
hs-6, k=-30
Someone please help me with this I can’t fail this test !
Answers
ITS D!!! h = -6 k = -30
The equation of a vertical parabola in vertex form is equal to
f(x)= a(xh)² + k
where
a is a coefficient
(h,k) is the vertex
we have
f)x) = x² + 12x + 6
Convert to vertex form
Complete the square
f)x) 6= x² + 12x
f)x) - 6+36= (x² + 12x +36)
f)x)+ 30 = (x² + 12x +36) -
f)x)+30= (x+6)²
f)x) = (x+6)² – 30. -----> equation in vertex form
therefore
The vertex is the point (-6,-30)
h=-6, k=-30
What is the probability of rolling 2 standard dice which sum to 9?
Answers
Explanation: Tbh I can’t explain how my brain just clicks sometimes
FOR EASY BRAINLIEST ANSWER AND EXPLAIN!! ASAP
QUESTION: A 30minute radio program, the entertainment portion lasts 2 minutes longer than 3 times the duration of the commercial portion. How much is devoted to commercials during the 30 minutes
Answers
First create an equation with the given information; with x being the commercial time, 30=3x+2, now solve for x. First subtract 2 from each side and get 28=3x and then divide each side by 3 to get 9 and 1/3 minutes.
Find the missing part.
Z=
Answers
Answer:
Step-by-step explanation:
To answer this, we need only solve for x and then use Pythagorean's Theorem to find z. We have the length of the hypotenuse which is 15, and we also have the base angle of 60. To solve for x we can use the trig ratio
[tex]cos60=\frac{x}{15}[/tex] and
x = 15cos60 which gives us that
x = [tex]\frac{15}{2}[/tex]
Now we can use Pythagorean's Theorem to find z, the other leg of the big triangle.
[tex](\frac{15}{2})^2+z^2=15^2[/tex] and
[tex](\frac{225}{4})+z^2=225[/tex] and
[tex]z^2=225-\frac{225}{4}[/tex] and getting a common denominator:
[tex]z^2=\frac{900}{4}-\frac{225}{4}[/tex] and
[tex]z^2=\frac{675}{4}[/tex] now we take the square root by simplifying the radical to get
[tex]z=\frac{15\sqrt{3} }{2}[/tex]
and that's what goes into the blanks there, one number per blank.
Help me with this please I don’t understand
Answers
Answer: IT IS CONGRUENT BY ASA POSTULATE.
Step-by-step explanation:
ACCORDING TO THE GIVEN IMAGE
CONSIDER TRIANGLE 1 AS TRIANGLE ABC AND TRIANGLE 2 AS TRIANGLE PQR
IN TRIANGLE ABC AND PQR
ANGLE B = ANGLE C ( 90 DEGREES )
AC = PR ( GIVEN IN FIGURE )
A TRIANGLE HAS SUM OF INTERIOR ANGLES AS 180 DEGREES
IF ANGLE B AND ANGLE Q ARE 90 DEGREES, ANGLE A + ANGLE C = ANGLE P + ANGLE R
WE HAVE ALREADY PROVED THAT AC = PR
If two triangles have one angle equal to one angle, two sides adjoining the equal angles equal, namely, one side adjoining the equal angles, and one opposite the equal angles, and the remaining angles either both less or both not less than a right angle, then the remaining side equals the remaining side and the remaining angles equal the remaining angles.
SO ANGLE A = ANGLE P
THEREFORE BY ASA CONGRUENCY TRIANGLE ABC IS CONGRUENT TO TRIANGLE PQR
HOPE IT HELPS YOU......
(IF I HAVE MADE ANY MISTAKES PLS COMMENT BELOW)
Sarah earned 45 1/2 dollars in 5 3/4 minutes. What is the unit rate in dollars per
minute?
Answers
Answer:
7 21/23 dollars per minute
Step-by-step explanation:
Total amount Sarah earns = 45 1/2 dollars
Time taken to earn = 5 3/4 minutes
What is the unit rate in dollars per
minute?
unit rate in dollars per
minute = Total amount Sarah earns / Time taken to earn
= 45 1/2 ÷ 5 3/4
= 91/2 ÷ 23/4
= 91/2 × 4/23
= (91 * 4) / (2 * 23)
= 364/46
= 7 42/46
= 7 21/23 dollars per minute
unit rate in dollars per
minute = 7 21/23 dollars per minute
ASAP please help meeeeeeeeeee
Answers
Answer:
Step-by-step explanation:
1/16 + 1/2 = 1/16 + 8/16 = 9/16
Factor of 3x^3-x^2-20x-12
Answers
Answer:
(−3)(+2)(3+2)
Step-by-step explanation:
Factor by grouping
Factor by grouping
Factor by grouping
Factor by grouping
(−3)(32+8+4)
Factor by grouping
Factor by grouping
Factor by grouping
Factor by grouping
(−3)(+2)(3+2)
What is the value of expression below when z=5? 5z−4
Answers
Answer:
21
Step-by-step explanation:
5×5-4 you replace the z with the 5 then multiply by 5 and subtract by 4
Answer:
21
Step-by-step explanation:
5×5-4 you replace the z with the 5 then multiply by 5 and subtract by 4
Suppose △ABC≅△LMN.
Which other congruency statements are correct?
Select each correct answer.
△BAC≅△MLN
△BCA≅△NML
△ACB≅△LNM
△CBA≅△M
Answers
if so then let's say just want to try am new MNL
Find side b, in triangle ABC. if angle B =42 degrees, a=6, c=4
Answers
Answer:
There is no valid value for b
Step-by-step explanation:
We solve the above question using the law of cosines
b² = a² + c² - 2ac × Cos B
B = 42°, a = 6, c = 4
b² = 6² + 4² - 2 × 6 × 4 × Cos 42
b =√6² + 4² - 2 × 6 × 4 × Cos 42
b = √36 + 16 - 48 × Cos 42
Solving the above question, there is no valid value for b
please help me! asap!!
Answers
Answer:
C
Step-by-step explanation:
what is 3 over 4 divided by 1 over 6
Answers
18 divided by 4
4.5
Choose the correct sum of the polynomials (6x3 − 8x − 5) + (3x3 + 6x + 2).
Answers
Answer:
9x³ - 2x - 3
General Formulas and Concepts:
Algebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
(6x³ - 8x - 5) + (3x³ + 6x + 2)
Step 2: Simplify
Combine like terms (x³): 9x³ - 8x - 5 + 6x + 2Combine like terms (x): 9x³ - 2x - 5 + 2Combine like terms: 9x³ - 2x - 3PLEASE HELPPPPPP!! I need to find x!!!!
Answers
Here
[tex]\\ \sf\longmapsto \frac{7}{x} = \frac{15}{10} \\ \\ \sf\longmapsto 7 \times 10 = 15x \\ \\ \sf\longmapsto 15x = 70 \\ \\ \sf\longmapsto x = \frac{70}{15} \\ \\ \sf\longmapsto \boxed{ \sf x = 4.6cm}[/tex]
Answer:
i can help you i know this answer
The equation of the line with slope −4 that goes through the point (8,−3)
can be written in the form y=mx+b
where m is:
and where b is:
Answers
Answer:
y = -4x + 29
Step-by-step explanation:
-3 = -4(8) + b
-3 = -32+b
29=b
The equation whose slope is -4 and passes through (8,-3) is y=-4x+29 where slope is -4.
What is equation?Equation is relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It is of many types like linear equation, quadratic equation, cubic equation, etc.
How to form equation?We have been given slope of line being -4 and point through which it passes (8,-3) and we have to find the equation of line.
The equation from two points can be calculated through the following formula:
y-[tex]y_{1}[/tex]=m(x-[tex]x_{1}[/tex]) and slope is m.
Putting the values of points and slope in the formula given above.
y-(-3)=-4(x-8)
y+3=-4(x-8)
y+3=-4x+32
y=-4x+32-3
y=-4x+29
Hence the equation is y=-4x+29 where slope is -4.
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HELP ME PLEASE
23. Two swimmers are training over a two-week period to increase the number of laps each can do consecutively. Swimmer A can do 14 laps to start, and increase her total by 3 laps each day. Swimmer B is charting her progress in the table below. Compare the initial values for each.
Answers
Answer:
Answer is A
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Answer is C because if swimmer A does 14 laps to start an 3 laps every day after that and on the chart swimmer B does 11 laps to start and 2 laps every day after that you would compare.
on day 3 swimmer B has 17 (shown on chart)
on day 3 swimmer A has 23 (14, 17, 20, 23)
if you would want it to complicate it 14:3 and 11:2
14 ÷ 14 is 1
3 ÷ 14 is .214
11 ÷ 11 is 1
2 ÷ 11 is .181
