Answer:
An equation of the line that passes through the point(2,−5) and is parallel to the line 6x+y=6 is:
[tex]y=-6x+7[/tex]Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where m is the slope and b is the y-intercept
Given the equation
[tex]6x+y=6[/tex]
Writing in the slope-intercept form of the line equation
[tex]y = -6x + 6[/tex]
comparing with the slope-intercept form of the line equation
y = mx+b
Thus, the slope of line = m = -6
We know that the parallel lines have the same slopes.
Thus, the slope of the parallel line is also -6.
As the line passes through the point (2,−5).
Thus, using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope and (x₁, x₂) is the point
substituting the values m = -6 and the point (2,−5)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y - (-5) = -6 (x - 2)[/tex]
[tex]y+5=-6\left(x-2\right)[/tex]
subtract 5 from both sides
[tex]y+5-5=-6\left(x-2\right)-5[/tex]
[tex]y=-6x+7[/tex]
Therefore, an equation of the line that passes through the point(2,−5) and is parallel to the line 6x+y=6 is:
[tex]y=-6x+7[/tex]Need help asp!!!plz
What is the output of the function y = 2" + 4 if the input is -2?
Answer:
Step-by-step explanation:
4(s + 50) 52 +30s + 200
The graph shows the proportions of red and blue food coloring that Taylor mixes to make the purple frosting. What is the slope of the line? Tell what it means in the problem situation. The graph is ( 50, 70 ) ( 25, 35 )
Answer:
The slope is 7/5
Step-by-step explanation:
Here, we want to find the slope of the line
We use the slope equation
m = (y2-y1)/(x2-x1)
m = (35-70)/(25-50) = -35/-25 = 7/5
what it means is that the rate of change of the number of red drops to number of blue drops to form the purple color is in the ratio of 7 to 5
Or simply put
To form a purple color, add 7 part red to 5 parts blue drops
Help with question 4 please
Answer: y=5 x=11
abc=def
ab=de <b=<e
17y-8=12+13y 11x-4=117
-13y -13y +4 +4
4y-8=12 11/11x=121/11
+8 +8 x=11
4/4y=20/4
y=5
Burgers are sold in packs of 6
Buns are sold in packs of 10
Liam wants to buy the same number of burgers and buns.
Work out the smallest number of packs of each items he could bu
Answer:
Liam would have to buy five packs of burgers and three packs of buns
Step-by-step explanation:
Buns- 10 x 3 = 30
Hamburgers- 6 x 5 = 30
Answer:
six
Step-by-step explanation:
It's six because the burgers are only six and buns are ten,he also wants all to be equal so he would vu six of each of the items
Will give brainlist if correct! Thanks if you do help!
Answer:
D is the answer
Step-by-step explanation:
what was the average speed of the winner in miles per hour? Explain
Answer:
my mom
OOOO
Step-by-step explanation:
huh 12x*5
Please help me find the value of x
Answer:
hhhhhhhhhhhhhhhhhhh
Step-by-step explanation:
x=9
help me find slope! Plz
Answer: m=-1
Step-by-step explanation:
I need help please !
Answer:
3) B is congruent toE
Step-by-step explanation:
B is congruent to E helps you prove triangle ◇ABC is similar to ◇ DEF, not congruent to it.
Sausages come in packets of 7. Bread rolls come in packets of 5. Dan wants to buy enough packs of sausages and rolls so that there are an equal number of sausages and rolls. What is the minimum number of sausages and rolls he needs to buy?
Answer:
5 packs of sausages7 packs of rolls
Step-by-step explanation:
You need to find the common multiple.
5 x 7 = 35.
We know that before this there is no other common multiple becuase 7 does not multiply to a number that ends with a 0 or 5 until 35.
So, he will need to buy:
- 5 packs of sausages
- 7 packs of rolls
Answer:
7 packs of rolls
5 packs of sausages
Step-by-step explanation:
The easiest way to solve this question is to make a table with 3 columns
Rolls 5 10 15 20 25 30 35
Sausages 7 14 21 28 35 42 49
# packs 1 2 3 4 5 6 7
Looking at the table you can see that the first number that matches up is 35 so looking at that point we would need 7 packs of rolls and 5 packs of sausages.
I WILL GIVE BRAINLY!!!!!!!!!
Samuel earns $5 per hour plus 65% commission on all his sales. If y represents
his sales for one day, which expression represents Samuel’s total earnings for a
day when he worked 6 hours?
A. 5(6) + 65y
B. 5(65) + 6y
C. 5(6) + 0.65y
D. 5(6) + 1.65y
PLSSSS SHOW YOUR WORK PLSSSS
Answer: C. 5(6) + 0.65y
Step-by-step explanation:
Process of elimination.
65% of y = 0.65y
A has 65y, completely incorrect.
B has 6y, also completely incorrect.
C has 0.65y, correct.
D has 1.65y, also completely incorrect.
please help its math!!! will give brainly and more points if correct please I need help
The equations of four lines are given. Identify which lines are perpendicular.
Line 1: y+8x=−5
Line 2: x+16y=−5
Line 3: y=−6x−7
Line 4: y+3=18(x−1)
Lines 2 and 3 are perpendicular.
Lines 1 and 2 are perpendicular.
All four lines are perpendicular.
Lines 1 and 4 are perpendicular.
Answer:
None of the options match
Step-by-step explanation:
First let's check option 1: lines 2 and 3.
line 2 in mx+b form: y=-1/16x -5
line 3, already in mx+b form: y=-6x-7
if it was perpendicular, the slopes should have been -1/16 and 16 or -6 and 1/6.
now for the 2nd option: lines 1 and 2.
line 1 in mx+b form: y=-8x-5
line 2 in mx+b form: y=-1/16x-5
Again, the slopes do not match, they should have been -8 and 1/8 or -1/16 and 16.
For the 3rd option: all lines
this is obviously wrong since lines 1, 2 and 2, 3 are not perpendicular themselves. No need to bother checking this option.
Lastly, 1 and 4.
line 1 in mx+b form: y=-8x-5
line 4 --> y+3=18x-18 --> y=18x-21
This is also wrong since the slopes should have been -8 and 1/8 or 18 and -1/18.
To conclude, I think the answer is none. None of the combinations on here are perpendicular anyways...
Answer:
D
Step-by-step explanation:
We have the four lines:
[tex]\displaystyle\text{Line 1: }y+8x&=-5 \\\\ \text{Line 2: } x+\frac{1}{6}y&=-5\\\\\text{Line 3: } y&=-6x-7 \\\\\text{Line 4: } y+3&=\frac{1}{8}(x-1)[/tex]
Remember that for two lines to be perpendicular, their slopes are negative reciprocals of each other.
So, let’s determine the slope of each line.
For Line 1, we can rewrite our equation as:
[tex]y=-8x-5[/tex]
So, the slope of Line 1 is -8.
We can rewrite Line 2 as:
[tex]\displaystyle \begin{aligned} \frac{1}{6}y&=-x-5\\y&=-6x-30\end{aligned}[/tex]
So, the slope of Line 2 is -6.
The slope of Line 3 is also -6.
And the slope of Line 4 is 1/8.
So, the slopes of perpendicular lines must be negative reciprocals.
The negative reciprocal of -8 (slope of Line 1) is 1/8. We multiply by a negative and then take the reciprocal.
Since the slope of Line 4 is 1/8, this means that Lines 1 and 4 are perpendicular.
For Lines 2 and 3, they have the same slope, not negative reciprocals of each other.
So, they will instead of parallel instead of perpendicular.
And Line 1 is perpendicular only to Line 4, and no other line.
Therefore, our answer is D.
Find the missing side, round to the nearest tenth.
15
х
30*
Answer:
45
Step-by-step explanation:
15*30 is 450 rounded down is 45
The diagonals of this rhombus are 8 and 16 units long. Their intersection creates four right angles, two 4-unit-long segments, and two 8-unit long segments. Given this information, find the area of the rhombus in square units (Use only the digits 0 – 9 and the decimal point, if needed, to enter a number).
Answer:
[tex]64\ \text{sq. units}[/tex]
Step-by-step explanation:
Area of a rhombus is the product of the length of the diagonals divided by two.
Length of one diagonal is 8 units and the other diagonal is 16 units
Area is given by
[tex]A=\dfrac{8\times 16}{2}\\\Rightarrow A=64\ \text{sq. units}[/tex]
The area of the rhombus is [tex]64\ \text{sq. units}[/tex]
Another approach is the diagonals have created 4 triangles where the base and is height is either 4 units long or 8 units long so the area of the rhombus would be the area of the 4 triangles.
[tex]A=4\times \dfrac{1}{2}\times 4\times 8\\\Rightarrow A=64\ \text{sq. units}[/tex]
Pls help me solve for x ill give 10 points away
Answer:
.53 pounds of dog food each day.
Step-by-step explanation:
Use PEMDAS to solve
help please 7th grade math
Answer:chopped almonds and white sugar are correct
PLS GIVE BRAINLIEST
For a given input value q, the function f outputs a value r to satisfy the following equation.
11q – 4= 3r - 6
Write a formula for f(q) in terms of q.
f(q) =
Answer:
22
Step-by-step explanation:
Answer:
{11q+2/3}
Step-by-step explanation:
Take out r
The scale of a map is 1 inch = 25 miles. On the map, the distance between two cities is 5.25 inches. What is
the actual distance in miles?
Show Your Work
Answer:
131.25 miles.
Step-by-step explanation:
if 1 inch is equal to 25 miles then you need to multiply 5.25 by 25 which equals 131.25 miles.
The actual distance between two cities is 131.25 miles.
What is ratio?Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
The scale of a map,
1 inch = 25 miles,
Also, the distance between two cities on the map is 5.25 inches.
To find the actual distance in miles.
Use ratio method,
1 inches = 25 miles,
5.25 inches = 25 x 5.25 miles
= 131.25 miles
The actual distance between cities is 131.25 miles.
To learn more about Ratio on :
https://brainly.com/question/13419413
#SPJ2
Plz help fast and correct!!!! (I will report if answer is stupid!!!)
after 1 1/2 hours Chris had collected 1/4 cup of water what is the rate in cups per hour
Answer
0.167 cups per hour
Step-by-step explanation:
Braydon paid $94 for 6 meals. How much would 9 meals cost?
Answer:
assuming all the meals cost the same: about 141 dollars
Step-by-step explanation:
comment if explanation needed
If Marlee rolls the number cube 12 times, how many times would she expect to get a number greater than 4
Answer:
i think its 6, but tell me is it multiple choice.
Step-by-step explanation:
This is for middle school 9th grade please help me :)
Answer:
i think it's undefined
Step-by-step explanation:
-6 -3x=5x -4x can somebody solve this ?
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
x = −3/2
Decimal Form:
x = −1.5
Mixed Number Form:
x = −1/1/2
Two Step Equation
-26 = -15x + 8
Answer:
x = 2 [tex]\frac{4}{15}[/tex]
Step-by-step explanation:
-26 = -15x + 8
-34 = -15x
x = 2 [tex]\frac{4}{15}[/tex]
Answer:
34/15
Step-by-step explanation:
(- 26) - 8= -15x
-34=-15x
-34/-15=x
34/15=x
Will mark brainliest for whoever answers
Answer:
a; r=1 is the answer
Step-by-step explanation:
Answer:
c).r=1
Step-by-step explanation:
hope this help
pick me as the brainliest
Ally's tricycle has two different wheel sizes: one larger wheel and two smaller wheels. As Ally travels the distance between her house and her neighbor's house on the tricycle, the larger wheel revolves 10 times and each of the smaller wheels revolve 25 times. If half the circumference of the larger wheel is 5 inches more than the circumference of one of the smaller wheels, what is the distance, in inches, traveled by the tricycle between Ally's house and her neighbor's house?
Answer:
500 inches
Step-by-step explanation:
Let C₁ and n₁ be the circumference and the number of rotations of the larger wheel. Also, let C₂ and n₂ be the circumference and the number of rotations of the smaller wheel. Since the distance moved by both wheels from Ally's house to her neighbor's house is the same, n₁C₁ = n₂C₂. (1)
Also it is given that half the circumference of the larger wheel is 5 inches more than the circumference of one of the smaller wheels.
So, C₁/2 = C₂ + 5
C₁ = 2(C₂ + 5) (2)
Substituting C₁ into (1), we have
n₁C₁ = n₂C₂.
n₁[2(C₂ + 5)] = n₂C₂.
Since n₁ = 10 and n₂ = 25, we have
10[2(C₂ + 5)] = 25C₂
20(C₂ + 5) = 25C₂
expanding the bracket,
20C₂ + 100 = 25C₂
collecting like terms, we have
25C₂ - 20C₂ = 100
5C₂ = 100
dividing both sides by 5, we have
C₂ = 100/5
= 20 inches
So, the distance between Ally's house and her neighbor's house is d = n₂C₂ = 25(20)
= 500 inches
The distance travelled by Ally's tricycle is [tex]500inches[/tex]
Let
[tex]d=\text{the distance between Ally's house and her neighbor's house}\\C_b=\text{the circumference of the larger wheel}\\C_s=\text{the circumference of each of the smaller wheels}[/tex]
Then, from the question
[tex]d=10C_b=25C_s\\\\\frac{C_b}{2}=C_s+5[/tex]
Eliminating [tex]C_s[/tex] from the second statement, we get
[tex]\frac{C_b}{2}=5+\frac{2C_b}{5}[/tex]
Solving for [tex]C_b[/tex],
[tex]C_b=50inches[/tex]
To calculate the distance travelled between her house and her neighbor's house,
[tex]d=10C_b\\\implies d=10\times 50inches=500 inches[/tex]
Therefore, the distance travelled between Ally's house and her neighbor's house is [tex]500inches[/tex]
Learn more about circumferences here: https://brainly.com/question/3131741
Write an equation in slope-intercept form for the line with slope -
and y-intercept - 4.
Answer: y= - 1x- 4
Step-by-step explanation:
Plz, Help me with this question.
Answer:
the answer is 9
Step-by-step explanation: you subtract the two and get ur answer
m/4-1/2=m/6+5
Please help
Answer:
3m/12-6/12=2m/12+60/123m-2m/12=60-6/12m/12=54/12m=54/12×12m=54
is the correct answer is the 54