Write an equation of the line containing the given point and parallel to the given line.
(6,-2); 4x - 3y = 8
Answer:
y = (4/3)x − 10
Step-by-step explanation:
Rewrite in slope-intercept form.
The slope-intercept form is y = mx + b, where m is the slope and b is they-intercept.
y = mx + b
Subtract 4x from both sides of the equation.
−3y = 8 − 4x
Divide each term by −3 and simplify.
Divide each term in −3y = 8 − 4x by −3.
(−3y/−3)= (8/−3) + (−4x/−3)
Cancel the common factor of −3.
y= (8/−3) + (−4x/−3)
Simplify (8/−3) + (−4x/−3)
y= (4x/3 - 8/3)
Reorder terms.
y= 4x/3 - 8/3
Using the slope-intercept form, the slope is 4/3
m = 4/3
To find an equation that is parallel, the slopes must be equal. Find the parallel line using the point-slope formula.
Use the slope 4/3 and a given point (6, −2) to substitute for [tex]x_{1}[/tex]and [tex]y_{1}[/tex]in the point-slope form. [tex]y[/tex] − [tex]y_{1}[/tex] = [tex]m[/tex] ([tex]x[/tex] − [tex]x_{1}[/tex]) which is derived from the slope equation[tex]m=[/tex] ([tex]y_{2}[/tex]− [tex]y_{1}[/tex])/([tex]x_{2}[/tex] - [tex]x_{1}[/tex])
y − (−2) = (4/3) ⋅ (x − (6))
Simplify the equation and keep it in point-slope form.
y − (−2) = (4/3) ⋅ (x − (6))
solve for y
y = (4/3)x − 10
Kyle bought four boxes of cereal for $8.60. How much would 10 boxes of cereal cost
Answer:
$20.75
Step-by-step explanation:
The answer is $21.50
Explain:
$8.60 / 4 = $2.15
$2.15 x 10 = $21.50
Could I have brainliest?
Find the slope: (7,4) (5, 6)
Answer:
Slope = - 1
Step-by-step explanation:
(x₁ , y₁) = (7,4) & (x₂, y₂) = (5, 6)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]= \frac{6-4}{5-7}\\\\= \frac{2}{-2}\\\\= - 1[/tex]
*
Simplify the expression:
(-6p+7). -4
Answer:
I'm assuming you need to distribute. When simplified the expression is 42p-28
Step-by-step explanation:
Answer:
24p-28
Step-by-step explanation:
Judy is baking 5 cheesecakes. A recipe for one of the cheesecakes requires 1 1 2teaspoons of vanilla. Judy's bottle of vanilla contains 12 teaspoons of vanilla. After Judy bakes the 5 cheesecakes, how many teaspoons of vanilla will be left in the bottle?
Answer:4 1/2 Teaspoons of vanilla will be left in the bottle
Step-by-step explanation:
Step 1
Recipe for 1 cheesecake = 1 1/2 teaspoons of vanilla
Since she s making 5 cheesecakes, she will requite = 5 x 1 1/2 teaspoons
= 5 x 3/2= 15/2 = 7 1/2 teaspoons of vanilla.
Step 2
If a bottle of vanilla contains = 12 teaspoons of vanilla
After baking 5 cheesecakes which consumed = 7 1/2 teaspoons of vanilla
Teaspoons left of vanilla = Total teaspoons of vanilla-teaspoons of vanilla used for 5 cheesecakes= 12 - 7 1/2 =4 1/2
Therefore 4 1/2 Teaspoons of vanilla will be left in the bottle
If f(x)=2x+1, then f(3)= ?
(2 to the power of x)
(not 2 times x)
Please show work :)
Answer:
9
Step-by-step explanation:
Input 3 for x
f(x)=2^3+1
f(3)=2^3+1
f(3)=8+1
f(3)=9
Daniel's store sold 75% fewer pairs of shorts this month than last month. If the store sold 5 pairs of shorts this month, then _________ pairs of shorts were sold last month.
Answer:
EXACT ANSWER: 6.666666666667
ANSWER ROUNDED: 7
Step-by-step explanation:
lol, I can't explain well, but it's correct.
Please help, needed fast
Answer:
46
Step-by-step explanation:
6*5
-2*-8
30+16=46
Answer:
It would be 46
Step-by-step explanation:
I need help ASAP with questions 3-7 plz show steps I will also mark brainliest
Answer:
.
Step-by-step explanation:
.
How much are these coins worth???
Answer
3.26$
Step-by-step explanation:
Meg is a veterinarian. She found that 25% of the 24 dogs she saw this week were boxers. Steve is also a veterinarian. He found that 8, or 50%, of the dogs he saw this week were boxers. Does each person need to find the part, the whole, or the percent?
Answer:
Percent
Step-by-step explanation:
lol I just got it right
-5x+3y>9 help me plesese so i can grids
Answer:[tex]x<−95+3y5[/tex]
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
What is the domain of the square root function graphed below?
Answer:
X is greater than or equal to 3
Step-by-step explanation:
As you Can See the graph Starts at (3, 1) and the point is filled in which mean it includes 3 the graph continues going there for the domain= x-axis is greater than or equal to 3
Answer:
i think its A or B but im not really sure,most likely A =w=
Which set of values could be the side length of a 30-60-90 Triangle!
A small business has 15 full-time employees. How many people does the small business employ if the full-time workers make up 30% of the employees the company has?
Answer:
50 employees
Step-by-step explanation:
The total number of employees the business has will have to be made up the full-time employees and part-time employees.
The number of full-time employees = 15
Let the total number of employees = x
[tex]15 = 30 percent of x[/tex]
[tex]15 = 30/100 \times x\\x=1500/30 = 50[/tex]
The company has a total of 50 employees
whats 3(x + 2) = 21?
show work please !!
Answer:
x=5
Step-by-step explanation:
[tex]3(x+2)=21[/tex]
[tex]3x+6=21[/tex]
[tex]3x+6-6=21-6\\\\3x=15\\\\\frac{3x}{3} = \frac{15}{3} \\\\x=5[/tex]
Answer:
x = 5
Step-by-step explanation:
You first have to multiply 3 by x and 2, and you would get 3x and 6. 3(x + 2)=3x +6
Then you have to move the 6 to the other side and it will become negative. 3x= -6 +21
Then you subtract 21-6 to get 15. 3x = 15
Then you are left with 3x = 15.
Divide 3 from both sides and you get x =5.
3x + 5x - 1 expression
Answer:
8x - 1
Step-by-step explanation:
Combine like terms. 3x and 5x are like terms.
3x + 5x -1 = 8x - 1
if one person has 3/4 0f your laundry what does kyle have?
Answer:
kyle has got 1/4 of your laundry xD
Step-by-step explanation:
laundry=1
3/4=1 person
1-3/4=1/4
so 1/4=kyle
Answer:
Kyle has 1/4 of the laundry.
Step-by-step explanation:
If one person has 3/4 that means there is 1/4 left.
So, Kyle has 1/4 left to do.
In the figure below, determine the perimeter of triangle EFG
Answer:
82 units
Step-by-step explanation:
From the image, we can see that the 2 triangles are similar triangles.
Thus:
BC = EF
BD = EG
CD = FG
Now, BD = 4x - 9 and EG = 2x + 15
Thus;
4x - 9 = 2x + 15
4x - 2x = 15 + 9
2x = 24
x = 24/2
x = 12
Thus, in triangle EFG where EG = 2x + 15, then EG = 2(12) + 15 = 39
Also, EF = BC = 17
FG = 26
Thus, perimeter of triangle EFG is;
P = 26 + 17 + 39
P = 82 units
I need help on this
The earth spins 360 degrees about its axis in 24h. How many degrees does it spin in 10h?
if I get another unreasonable answer OHFUSHASHDF
Answer:
150
Step-by-step explanation:
To find out how much it spins in one hour do 360 divided by 24= 15, and you need to find how much it spins in 10 hours so do 15 x 10=150
Answer:
150 degrees.
Step-by-step explanation: Just divide 360 by 24 then times by 10.
find the surface area of this cylinder using pie.
i need the slope intercept for this equation
Answer:
y = -2/3x + 8
Step-by-step explanation:
6. (03.02) Factor completely 3x4 + 4x3 + 6x + 8. (1 point)
Answer:
(3x+4)(x³+2)
Step-by-step explanation:
Follow me Please
Answer:
Hope it can help you and mark me as brainlist.
Solve the equation. Check your solution. a/4 - 5/6= -1/2
Answer:
a= 4/3
Step-by-step explanation:
1.) Simplify both sides of the given equation:
1/4a + -5/6 = -1/2
2.) Add the 5/6 to both sides (cancels the -5/6)
1/4a + -5/6 (+5/6) = -1/2 (+5/6)
1/4a = 1/3
3.) Multiply both sides by 4 (the denominator)
4 * 1/4a = 1/3 * 4
a = 4/3
To check the solution, plug in 4/3 into a:
4/3/4 - 5/6 = -1/2
2.) Dividing fractions is also multiplication:
(4/3 * 1/4) - 5/6 = -1/2
3.) Get the difference of 1/3 and 5/6
1/3 - 5/6 = -1/2
4.) Simplify -3/6 (3 goes into 3 ONCE and into 6 TWO times)
-3/6 = -1/2
5.) Check to see if both sides match
-1/2 = -1/2
Please answer the following question below
Answer:
65°
Step-by-step explanation:
The tangent is perpendicular to the diameter BD therefore m‹CBR=90°-25°=65°
Jada traveled 135 miles in 3 hours. Andre traveled 228 miles in 6 hours. Both Jada and Andre traveled at a constant speed. who traveled faster? explain or show your reasoning
Answer:
Jada
Step-by-step explanation:
Jada traveled faster (45mph) and Andre traveled a longer distance (228 miles) but went 38mph, concluding that Jada traveled faster.
45x3=135 (Jada)
38x6=228 (Andre)
What is the y-intercept when a line has a slope of 1/2 and passes
through the point (2, -1)?
Answer:
2
Step-by-step explanation:
You called this question to the right person. To find the y-intercept, you must do the formula of Point Slope (y-y1 = m (x-x1)) Since 2, is x1 and the -1 is y1, we must lay the equation out like this: y - -1 = m (x-2). Next, we must distribute the slope to the x and the 2, which would allow the x, to fit in with the slope, and the 2 to become 1 since 1/2 x 2 is 1. Now what we need to do is get rid of the -1, so what we do here is add 1. And algebra golden rule, whatever you do to one side, you must do to the other side. This would leave y = 1/2x + 2 And therefore 2 is your y-intercept, since it's at the last part of the equation.
What is the value of this expression? 1.25 + 8.25 × 4 ÷ (4.75 + 0.75) Group of answer choices 6.91 7.25 8.75 8.95
Answer:
b
Step-by-step explanation:
Answer:
the answer is 7.25
Step-by-step explanation:
Hope this helps :)
HELP! Is (0,-5) a solution to 3x - 2y < 10 ?
Answer:
false
Step-by-step explanation:
3(0) - 2(-5) = 10
the < says it cannot be equal