5x-2y = -2 is the equation of line that passes through the point (-2,-4) and is parallel to the line 5x-2y=6.
Given that, (x₁, y₁) = (-2, -4) and parallel to 5x - 2y = 6
Let's calculate the slope of 5x - 2y = 6
Rewrite the equation in y = mx + c form
5x - 2y = 6
⇒ -2y = 6 - 5x
⇒ -y = 3 - 5/2x
⇒ y = -3 + 5/2x
⇒ y = 5/2x - 3
Thus, the slope (m) = 5/2
As the line is parallel to 5x - 2y = 6 it will have a slope of 5/2.
The point-slope formula states (y - y₁) = m(x - x₁)
Now, substituting the value of m = 5/2 and (x₁, y₁) = (-2, -4), we get
(y - y₁) = m(x - x₁)
⇒ (y - (-4)) = 5/2(x - (-2))
⇒ (y+4) = 5/2(x+2)
⇒ 2(y+4) = 5(x+2)
⇒ 2y+8 = 5x+10
⇒ 5x-2y+10-8 = 0
⇒ 5x-2y+2 = 0
⇒ 5x-2y = -2
Hence, the line that passes through the point (-2,-4) and is parallel to the line 5x-2y=6 is 5x-2y = -2.
Therefore, 5x-2y = -2 is the required answer.
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Please solve this, thank you
Answer:
2.62 x 10^16
Step-by-step explanation:
Let look at the numerator:
(3.1 x 10^6)(6.97 x 10^4)
= (3.1 x 6.97) x 10^(6+4)
= 21.607 x 10^10
So 21.607 x 10^10
_______________
8.245 x 10^-6
= (21.607/8.245) x 10^(10 - -6)
= 2.62 x 10^(10 + 6)
= 2.62 x 10^16
I hope this helps
A spinner has 6 equal sized slices numbered from 1 to 6. Some are grey and some are white, as shown below.
Answer the following questions, write each answer as a fraction.
The wheel will be spun and will stop on a slice at random.
a) what is the probability that the wheel stops on number 2?
b) what is the probability that the wheel stops on number 2, given that the wheel stops on a white slice?
The Greens want to put an addition on their house 18 months from now. They will need to save $10,620 in order to achieve this goal. They set aside the same amount each month, and after a year discover they have saved $6,120. The Greens must adjust their plan in order to meet their goal, so they came up with the following options:Option A: Stay with saving the original amount each month but put the addition on one month later than originally plannedOption B: Increase the amount of money they save each month by $120 from their original plan.Which of the following statements is true?
A Only option A will allow them to meet their goal
B Only option B will allow them to meet their goal.
C Both options A and B will allow them to meet their goal.
D Neither option A nor option B will allow them to meet their goal.
Option D. From the question that we have here, we would have it that neither option A or option B would help the Green in order to meet up with the plan that they have.
How to compare the options they haveThe house they want to put an addition on is in 18 months. The amount to be saved is $10620, the total amount saved after a year = 6120
Remember that a year has 12 months, if they are only able to save the above in a year, then in 12 months they cannot meet with the saving target.
Increasing saving by 120 for 18 months = 120 x 18= $2160
This is still below the target.
Hence we would conclude by saying that Neither option A nor option B will allow them to meet their goal.
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Help please it’s geometry
Answer:
RA = RB because the base angels of isosceles are equal and their measurement are equal too
Step-by-step explanation:
angle RAB=180(sum of angels of a triangle)
180/2=90
90/3=30
Angle R= 90
Angle A=30
Angle B= 30
So,It is proved that RA=RB
I tried my best to answer hope it is accurate.
Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form.
36,12,4,...
=================================================
Reason:
Divide each term by its previous term
12/36 = 1/3
4/12 = 1/3
We get the same result each time, and that result is the common ratio. It says to multiply each term by 1/3 to get the next term
36*(1/3) = 12
12*(1/3) = 4
The graph of f(x) is shown.
On a coordinate plane, a parabola opens up. It goes through (negative 1.75, 4), has a vertex of (negative 0.25, negative 3), and goes through (1.4, 4). Solid circles appear on the parabola at (negative 1.6, 3.1), (negative 1.2, 0), (negative 0.25, negative 3), (0.8, 0), (1.2, 3.1).
Over which interval on the x-axis is there a negative rate of change in the function?
–2 to –1
–1.5 to 0.5
0 to 1
0.5 to 1.5
Answer:
The answer is A. –2 to –1
Step-by-step explanation:
Answer: A on edge
Step-by-step explanation:
:
Uncle Choo sold 580 reams of printing paper in January and 755
reams of printing paper in February.
He sold 2100 reams of printing paper from January to March.
How many reams of printing paper did he sell in March?
Step-by-step explanation:
2100-(580+755)
2100-1335
=835
Answer=
January=580
February=755
January+February=
580+755=1335
March=2100-1335
=765
so March is 765 reams
January+February+March
580+755+765=2100reams
The owners of an apartment building bought it new and then 5 years later sold it for $165000. They calculated that the building appreciated $2000 per year
while they owned it.
ind a linear function that describes the value of the building over time, if a is the age of the apartment building.
f(a)= 2000a +155000 is a linear function that describes the value of the building over time, if a is the age of the apartment building
The owners of an apartment building bought it new and then 5 years later sold it for $165000. They calculated that the building appreciated $2000 per year while they owned it.
we have to find a linear function that describes the value of the building over time, if a is the age of the apartment building
write a linear function is in slope-intercept form:
y= mx+b
Here, x is the independent variable, and y is the dependent variable. Also, the slope of the line, m, represents some kind of constant rate. Finally, b, the y-intercept represents some sort of starting value for our dependent variable.
165000= $2000*5+b
$165000= $10000+b
$155000=b
f(a)=2000a+155000
therefore f(a)= 2000a +155000 is a linear function that describes the value of the building over time, if a is the age of the apartment building
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5) What is the value of "fifteen squared"?
Answer:
225
Step-by-step explanation:
To square a number, you simply multiply it by itself.
15² = 15 · 15 = 225
Refer to Figure 2.8 and look at the listing for Home Depot.
Required:
a. Assuming that the table gives today's prices, what was the firm's closing price yesterday? (Round your answer to 2 decimal places.)
b. How many shares could you buy for $5,000? (Round your answer to the nearest whole number.)
c. What would be your annual dividend income from those shares? (Round your answer to 2 decimal places.)
d. What must be Home Depot’s earnings per share? (Round your answer to 2 decimal places.)
A monthly magazine charges $38 for a one year subscription (12 issues).
What is the cost for each issue? (Round to the nearest cent)
Answer:
3.17 I believe
Step-by-step explanation:
you have to divide $38 by 12 (the amount of issues), and by doing that you get 3.166666666, but it says round to the nearest cent so it'll be 3.17
Apply
5. The table shows the number of Calories José and Natalie
burned after 1, 2, and 3 minutes of running. Graph the
relationship between the number of minutes running and
the number of Calories burned for each person. By which
ordered pair is a unit rate represented?
Calories Burned
X
Time (min)
0
1
2
3
José
0
8
15
23
Natalie
0
5
10
15
Number of Calories
40
30
20
10
0
y
Calories Burned
The second pair represent a unit rate. And the graph is shown.
An ordered pair is a pair made up of two parts that are written inside parantheses and are separated by commas. For instance, the ordered pair (x, y) denotes an ordered pair where "x" is the first member and "y" is the second element. These elements, which can either be variables or constants depending on the context in which they are used, have distinct names.
In an ordered pair, the element order is somewhat significant. It implies that (x, y) may not always be equivalent to (y, x).
When describing a point's location on the coordinate plane with respect to the origin, a coordinate geometry ordered pair is employed.
Hence the graph is attached and the second pair represents the unit rate.
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-2x-y=1 in slope intercept form
7+8n=71, what does N equal in the problem?
n2-8n+7=0. hope this help
Answer:
7 + 8(8) = 71
1) 8x8=64
2) 64+7
N=71
lol
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Alejandro can wash 4 cars in an hour.
How much time would it take Alejandro to wash: 8 cars? 20 cars?
There are 2 variables. Name each one with a letter.
# of hours he washes cars:
# of cars he washes:
Represent this situation as an equation with the 2 variables:
Answer: Alejandro will wash 8 cars in 2 hours and 20 cars in 5 hours
Step-by-step explanation:You would just need to divide 4 by 8 and 20.8 divided by 4 is 2 and 20 divided by 4 is 5
If Fran were to paint her living room alone, it would take her 5 hours. Her sister Wanda could do the job in 8 hours. How many hours would it take them working together
It would take 3.43 hours to paint living room working together.
In this question, we have been given Fran were to paint her living room alone, it would take her 5 hours. Her sister Wanda could do the job in 8 hours.
We need to find the amount of time required them working together.
Let they need 'x' hours to paint living room together.
So, we get an equation,
1/6 + 1/8 = 1/x
We need to find the value of x.
1/x = (8 + 6) / 48
1/x = 14/48
x = 48 / 14
x = 3.43 hours
Therefore, it would take 3.43 hours to paint living room working together.
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Please help me solve this problems.
Answer:
[tex] \sqrt{54 {x}^{5}yw {}^{8} } \\ \sqrt{7 \times 8 {x}^{5}yw {}^{8} } \\ = 2x {}^{2} {w}^{4} \sqrt{14xy} [/tex]
PLEASE ANSWER QUICK!!!! use one of your new conjectures to find the indicated angle measures and expressions.
t + p = ___
Based on the exterior angle theorem, the indicated measures are: t + p = 135°.
What is the Exterior Angle Theorem?In a triangle where an exterior angle is formed outside the triangle by an extended side of the triangle, the exterior angle theorem states that the measure of this exterior angle must be equal to the sum of the two interior angles that are directly opposite this exterior angle.
Angle t and angle p are interior angles of the triangle that are opposite the exterior angle that measures 135 degrees.
This implies that: the sum of angles t and p would be equal to 135 degrees.
Therefore, based on the exterior angle theorem, the indicated measures are: t + p = 135°.
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What is the answer to 11 = x/-5 + 8
Answer Formula: x = ?
Answer: x=-15
Step-by-step explanation:
11=x/-5+8
minus 8 on both sides
3=x/-5
multiply by -5 on both sides
x=-15
Answer:
x = -15
Step-by-step explanation:
Given: 11 = x/-5 + 8
We need to get x by itself to make a formula or get an answer
Step 1: Subtract 8 on both sides
We need to subtract 8 on both sides in order to cancel out the 8 on the right and bring it to the left
so, 11 -8 = x/-5 +8 -8 = 3 = x/-5
Step 2: Multiply by -5
We need to multiply by -5 in order to cancel our the -5 on the right and bring it to the left
so, 3*-5=x/-5*5 = -15 = x
Therefore, x = -15.
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The vertices of Figure A are located at (-9,4), (-3,6), (-2,3) and (-8,1) on a coordinate plane. Figure A is transformed to Figure B by rotating the figure 90º clockwise about the origin, translating it 8 units left and 4 units down, and then dilating from the origin by a scale factor of 2. Which ordered pair will be a vertex in Figure B?
A. (-8,10)
B. (−2, 5/2)
C. (-9/2 −6)
D. (-22,-12)
Answer:
a
Step-by-step explanation:
What is the value of 8 in each number? 389
Answer:80
Step-by-step explanation:
Answer:
80
Step-by-step explanation:
its just 80
write an equation in slope-intercept form of the line that bisects the angle formed by ED and EF.
Answer:
ok
Step-by-step explanation:
the answer is (2,4)
mark as brainlist
.............................
Answer: yes i get it
Step-by-step explanation:
he definition of parallel lines requires the undefined terms line and plane, while the definition of perpendicular lines requires the undefined terms of line and point. What characteristics of these geometric figures create the different requirements?
Answer:
Parallel lines never intersect, but they must be in the same plane. The definition does not require the undefined term point, but it does require plane. Because they intersect, perpendicular lines must be coplanar; consequently, plane is not required in the definition.
Step-by-step explanation:
Write the slope-intercept equation of the function f whose graph satisfies the given conditions.
The graph of f passes through (-9,-8) and is perpendicular to the line whose equation is x = 8.
The equation of the function is
Answer:
y = -8
Step-by-step explanation:
line x = 8 is a vertical line so the line perpendicular has slope of 0
Using m = 0, x = -9, y = -8
y = mx + b
-8 = 0(-9) + b
b = -8
so y = -8
Step-by-step explanation:
y = 8, the one above is correct, we both are.
Solve the Question Provided by the picture.
(Im trying to correct my answer)
If x = y – 9, and y – 4 = 10, x = ?
Answer:
X = 5
[tex] \sf \large \: x=5 and y=14[/tex]
Step-by-step explanation:
Let's solve your system by substitution.
x=y−9;y−4=10
Rewrite equations:
y−4=10;x=y−9
Step: Solvey−4=10for y:
y−4=10
y−4+4=10+4(Add 4 to both sides)
y=14
Step: Substitute14foryinx=y−9:
x=y−9
x=14−9
x=5(Simplify both sides of the equation)
At a cost of $8 per pound, how many ounces of barley can be bought for $3.70?
At a cost of $3.70, we can buy 7.40 ounces of barley.
Given that,
Barley cost per pound = $8
To determine how many ounces of barley can be bought at a cost of $3.70.
The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
Here,
1 pound = 16 ounces
since 1 pound = $8
divide both the side by 16
1 / 16 pound = 8 /16
1 / 16 pound = $0.5
1 ounce = $0.5 cost
Now,
at 1$ = 2 ounces
multiply both sides by $3.70.
3.70 = 2*3.70 ounces
at $3.70 = 7.40 ounces
Thus, at a cost of $3.70, we can buy 7.40 ounces of barley.
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NEED HELP ASAP
Which ordered pairs are solutions to the system of inequalities?
{x−3y≥1
{2x+y≤4
Select each correct answer.
(0, 3)
(−1, 1)
(3, −2)
(4, 0)
(2, 3)
(1, −1)
A mural measures 145 feet long by 190 feet high. Find the ratio of the height to the perimeter of this mural.
The ratio of height to perimeter of mural is 19:67.
The perimeter of mural will be calculated by the formula -
Perimeter = 2 × (length + breadth)
So, finding the perimeter using the mentioned formula. Keep the values of length and breadth in formula to calculate the perimeter of mural.
Perimeter = 2 × (145 + 190)
Performing addition of values in bracket
Perimeter = 2 × 335
Performing multiplication
Perimeter = 670 feet
Ratio = Height : Perimeter
Ratio = 190 : 670
Cancelling zero to find the ratio
Ratio = 19 : 67
Hence, the ratio of the height to the perimeter of this mural is 19:67.
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