Is the line through points P(8, 4) and Q(6, –1) parallel to the line through points R(1, –4) and S(4, 5)? Explain.

Answer:

y=-3/1x-2

y=9/3x+8

Step-by-step explanation:

Slope is -3/1 using rise over run, it's just negative because the graph is slanted down. The slope is 9/3 using rise over run. Then the y-intercepts are -2 and 8.

-Hope this helped & Happy Holidays!

The number of Suzanne jars that have 9 beads is 9.

Suzanne has 12 jars of beads. some of her jars have 15 beads, and the others have 9 beads. she has 126 beads in all.

The number of jars that have 9 beads can be calculated as follows:

let

the number of jars that have 15 beads = x

the number of jars that have 9 beads = y

Hence,

x + y = 12

15x + 9y = 126

multiply equation(i) by 15

15x + 15y = 180

15x + 9y = 126

subtract equation(i) from equation(ii)

6y = 54

divide both sides by 6

y = 54 / 6

y = 9

Therefore,

jars with 9 beads = 9

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There are 2 decorations that Jasmine makes.

What are word problems?

A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

You can tackle any word problem by following these five steps:

Since we have given that

Length of a meter of ribbon used = 1/4

[tex]\frac{1}{4} = \frac{1}{4}.100 = 25[/tex]

Length of a meter cut into equal pieces = 1/2

[tex]\frac{1}{2} =\frac{1}{2}.100= 50[/tex]

So, Number of decorations that Eli make is given by

Length of total ribbon / Length of ribbon used

= 50 / 25

= 2

Hence, there are 2 decorations that Jasmine makes.

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The value of the angle m∠BDC is 105°.

Let separate the triangles and find missing angle in triangle with given angles.

CAD = 45°

CDA = 30°

Then, CAD+CDA+ACD = 180°

45°+30°+ACD=180°

ACD=180°-75°

       =105°

by applying third angle theorem,

∠CAD=∠DBC=45°

∠ADC=∠BCD=30°

Then, ∠DBC+∠BCD+∠BDC=180°

45°+30°+BCD=180°

BCD=180°-75°

      =105°

Hence, The value of the angle m∠BDC is 105°.

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Answer:

log base 28 of (7x4)

log base 28 of (28)

which equals 1

Answer:70 i think srry if its wrong

Step-by-step explanation:

The total number of boxes of inventory which is loading on the truck by the workers are 1,200 boxes.

What is percentage of a number?

Percentage of a number is the part of the number expressed in the in every hundred. Percentage of a number is expressed with the symbol '%'.

Workers are loading boxes onto a truck . So far, they have loaded 48 boxes onto the truck.

According to their inventory, they still need to load 96% of boxes on the truck. There must be 100% box at the start of the loading. Thus, the percentage of boxes they have load,

p=100-96 = 4%

Thus the percentage of boxes they have load in the truck is 4%. This is equal to the 48 boxes they have loaded.

Let suppose there is x number of total boxes. Thus the 4 percent of x will  be equal to the 48.

(4/100)x=48

x = 4800/4  = 1200

Thus, the total number of boxes of inventory which is loading on the truck by the workers are 1,200 boxes.

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The maximum miles that Emma can ride without exceeding her spending limit is 17.3 miles

What are Linear Inequalities?

A linear inequality is a mathematical inequality that incorporates a linear function. A linear inequality contains one of the inequality symbols. It depicts the data which is not equal in graph form.

The linear expression formed using the given description will be 2.75 + 0.65x

where x is the total number of miles

and the linear inequality formed will be 2.75 + 0.65x < 14

Refer to the graph below

So, the maximum miles that Emma can ride without exceeding her spending limit is 17.3 miles

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Answer:

Step-by-step explanation:

Rewrite equations: x+y=6;2x−3y=4

Solve x+y=6 for x: x+y+−y=6+−y (Add -y to both sides)

x=−y+6

Substitute −y+6 for x in2x−3y=4: 2x−3y=4

2(−y+6)−3y=4

−5y+12=4 (Simplify both sides of the equation)

−5y+12+−12=4+−12 (Add -12 to both sides)

−5y=−8

−5y/−5=−8/−5 (Divide both sides by -5)

y=8/5

Substitute 8/5 for y in x=−y+6:

x=−y+6

x=−8/5 +6

x=22/5 (Simplify both sides of the equation)

Answer: x=22/5 and y=8/5

Answer: When you solve the equations and work them out, you get the answer of $4000.

8 seed packets

First, we need to figure out how many plants Emma can grow with each seed packet. To do this, divide 6 plants (the number of plants Emma currently has) by 3 seed packets (the number Emma had to begin with). This will give us a unit rate of "2 plants per seed packet".

Now that we know the unit rate, we can use it to figure out how many seed packets Emma needs to have 16 plants in her backyard. Divide 16 plants (the number of plants Emma wants to have) by 2 plants per seed packet (the unit rate). This will give us 8 seed packets.

Therefore, Emma needs 8 seed packets to have a total of 16 plants in her backyard.

If you have any additional questions or need further assistance, please let me know.

I think you're answer is right angle

Answer:

The slope is 1/6.

Step-by-step explanation:

The slope of the given equation is -6. Perpendicular lines have negative reciprocal slopes.

Answer:

the equation that explains the relationship between BC and B"C" is:

BC = 2 * B"C"

This equation states that the length of BC is equal to twice the length of B"C".

Step-by-step explanation:

If triangle A"B"C" is formed using the translation (x+1,y+1) and the dilation by a scale factor of 3 from the origin, then the coordinates of the vertices of triangle A"B"C" can be expressed as follows:

A" (x+1, y+1)

B" (3x+3, 3y+3)

C" (3x+6, 3y+6)

To find the equation that explains the relationship between BC and B"C", we can use the distance formula to find the length of both segments. The distance formula is:

distance = √((x2 - x1)^2 + (y2 - y1)^2)

Where (x1, y1) and (x2, y2) are the coordinates of the two points.

Using the distance formula, we can find the length of BC as follows:

BC = √((3x - x)^2 + (3y - y)^2)

= √((2x)^2 + (2y)^2)

= √(4x^2 + 4y^2)

= 2√(x^2 + y^2)

We can also find the length of B"C" as follows:

B"C" = √((3x+6 - 3x-3)^2 + (3y+6 - 3y-3)^2)

= √((3)^2 + (3)^2)

= √(9 + 9)

= √(18)

= 3√(2)

The required fraction cup of sugar do Evelyn need to add is 8/3.

Multiply the numerators and denominators independently to track down the item. At the point when you need to duplicate divisions, increase the 2 numerators together first and compose it on top. Then increase the denominators together and compose it on the lower part of the portion. Improve on your response on the off chance that you would be able so it is in the least terms.

As question says Evelyn need 3(1/3) cup og sugar

To find many cup of sugar do Evelyn need to add.

Let the required sugar be x

Then,

2/3 + x = 3(1/3)

x = 10/3 - 2/3

x = 8/3 cup of sugar need.

Thus, required cup of sugar is 8/3.

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The measure of the largest angle is 96 degrees.

What is a ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3

The measure of the largest angle in the triangle is 96 degrees.

To find the measure of the largest angle, we can use the fact that the sum of the measures of the angles in a triangle is always 180 degrees.

Let's call the measures of the three angles x, y, and z, where x is the measure of the smallest angle, y is the measure of the middle angle, and z is the measure of the largest angle.

We are given that the ratio of the angles is 3:5:8, which means that x:y:z = 3:5:8.

We can set up the following equation to represent the sum of the measures of the angles in the triangle:

x + y + z = 180

We can also set up the following equation to represent the ratio of the angles:

x : y : z = 3 : 5 : 8

We can use these two equations to find the measure of the largest angle.

First, let's multiply the second equation by 3, 5, and 8 to get:

3x = 15y = 24z

Then, we can substitute these equations into the first equation to get:

15y + 24z = 180

Solving for z, we get:

z = 180 / (15+24) = 180 / 39 = 96

Therefore, the measure of the largest angle is 96 degrees.

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Step-by-step explanation:

Jim paid £70 for a bike. Then pays £10 per month.

a) Write down an expression for the total amount paid after m months.

cost = 10m + 70

_______________________________________

b) Factor the expression.

10m + 70

common factor is 10 so:

10(m + 7)

Answer:

Step-by-step explanation:

100

Answer: 18x-12

Step-by-step explanation:

Add 10x +8x (because they both have x at the end so its fine to add them

then do -5-7= -12

The solution of the system of equations is (x, y) = (9/2, -7/10).

What is the system of linear equations?

A system of linear equations is a group of one or more linear equations that can be solved by using a simultaneous equation or elimination method. Therefore, by using the substitution method and writing the solution of the system in terms of coordinate point (x, y) = (-1, 1).

To solve a system of equations, we can use any of the following methods:
Substitution method,
Elimination method,
Matrix method.
Let's use the substitution method to solve the given system of equations.
We can solve the first equation for z:
z = 7 - 3x - 2y
Substituting this expression into the third equation, we get:
3x + 2y + 3(7 - 3x - 2y) = 1
This simplifies to:
-5x - 3y + 21 = 1
Adding 5x and 3y to both sides, we get:
21 = 5x + 3y + 1
Subtracting 1 from both sides, we get:
20 = 5x + 3y
Dividing both sides by 5, we get:
4 = x + 3/5 y
Substituting this expression into the first equation, we get:
3(x + 3/5 y) + 2y + 7 = 7
This simplifies to:
2y = -7/5
Dividing both sides by 2, we get:
y = -7/10
Substituting this value into the expression for x, we get:
x = 4 - 3/5(-7/10)
This simplifies to:
x = 4 + 21/10
x = 9/2

Hence, the solution of the system of equations is (x, y) = (9/2, -7/10).

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Answer:

1 – cos²x = Sin²x

Step-by-step explanation:

Sinx + 1 = cos x

by squaring both sides

(Sinx + 1)² = (cos x )²

Sin²x + 1 = cos²x

1 – cos²x = Sin²x

i hope this helped

The approximate ordered pair for f(x) = g(x) is given as; (4, 22) from the graph. Option A

We know that there are two equations that can be shown from the set of equations that have been written here and the set of equations that we have are;

f(x) = −2x + 30

g(x) = 3x + 10

We are now trying to see the points at which the equation can be said to be equal. This refers to the point where  f(x) = g(x). How can we be able to obtain this point? If we are to get this point then we must go back and look at the graph very well.

As we are looking at the graph very well we should fix our eyes on any point where the line of two functions can be seen to intersect. Once that happens, we can say that we have reached the point where the two functions can be said to be equal. This point is read from the graph as (4, 22)

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The equation of line in standard form that pass through the point (1, -3) and (-2, -1) is (-2x/3)-y=7/3 where -2/3 is x-intercept and -1 is the y-intercept.

A straight line's equation is given by y=mx+c, where c is the height at which the line intersects the y-axis (often referred to as the y-intercept) and m is the gradient.

The set of points that make up a line in a coordinate system are represented algebraically by a line's equation. An equation of a line is an algebraic expression that represents the many points that together make up a line in the coordinate axis as a set of variables, x, and y.

we are given with;

x1=1, y1=-3

x2=-2, y2=-1

equation of line in standard form:

Ax+By=C

so using formula:

(y−y1)=(y2−y1)(x−x1)/(x2−x1)

(y−(-3))=((-1)−(-3))(x-1)/(-2−1)

(y+3)=(2)(x−1)/(-3)

(y+3)=(2x−2)/(-3)

y+3=(-2x/3)+(2/3)

y=(-2x/3)+(2/3)-3

y=(-2x+2-9)/3

y=(-2x-7)/3

(2x/3)+y=-7/3

rearranging;

(-2x/3)-y=7/3

This is our required answer.

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Answer:

In any right triangle, the sine of one acute angle is equal to the cosine of the other angle.

Step-by-step explanation:

Answer:

1 -3/4

2. P(00,3)

3. Q(4,0)

4. 6

Step-by-step explanation:

1. 3x+4y=12

 4y= -3x+12

 y= -(3/4)x+ 3 , so gradient = -3/4

2. Y intercept is P (0,3)

3. X intercept is Q(4,0)

4. Area = 3×4÷2=6

The hot air balloon is rising at 600 feet per minute and  the blimp are rising at 250 feet per minute

How fast is the hot air balloon rising?

From the question, we have the following parameters that can be used in our computation:

The height of a balloon over time is represented by the graph

On the graph, we have the following points

(x, y) = (0, 0) and (2, 1200)

The rate is calculated as

Rate = (1200 - 0)/(2 - 0)

Evaluate

Rate = 600

Hence, the rate of rising is 600 feet per minute

How fast is the blimp rising?

From the question, we have the following parameters that can be used in our computation:

The height of a blimp over time is given by y = 250x

The above equation is a linear equation

A linear equation can be represented as

y = mx + c

Where

slope = m

This means that the slope of y = 250x is 250

The slope represents the rate

Hence, the rate of rising is 250 feet per minute

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well, similarity on circles is a phony business

in essence, all circles are similar by definition, I mean, hell they're all circular, what's so unsimilar about that?

however, the silly proof asks to translate it about and then dilate it to be superimposed on the other.

Answer:11.17

Step-by-step explanation:

pi x D x angle /360

pi x 8x2x80/360

=11.170

Answer: -23

Step-by-step explanation:

When you're adding to a negative the negative number decreases, so if you're adding 12 from negative 35, you're taking away 12 negative numbers, hence why the answer is -23

hope that helped :)

The point is NOT to fix the system. There was just one equation that produced an identity. The right answer option 3

An equation is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

X = 6 and Y = -8 are the points in BEN'S WORK SHOWN's 2x + y = 4 equation, and after solving it, we have the verification.

However, for x + 3y = -20, the points x = 6 and y = -8 are not solved, and since points here only fulfill one equation,

The point is NOT a solution to the system. Only one of the equations resulted in an identity.

if both the solution would have been then we can say that point is a solution to the system. but this is not true as one equation is not satisfy

The point is NOT a solution to the system. Both equations resulted in identities. this is also not true as one is identities not both.

The point IS a solution to the system. Both equations resulted in identities. this is also not true as both are not identities as only one is identities.

Thus option 3 is correct

The point is NOT a solution to the system. Only one of the equations resulted in an identity.

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The possible elevation of Salton city will be;

⇒ x < - 2 feet

Where, x is the elevation of Salton city.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

New Orleans is 2 feet below sea level.

And, Salton City has an elevation that is lower than New Orleans.

Now,

New Orleans is 2 feet below sea level.

And, Salton City has an elevation that is lower than New Orleans.

Let the elevation of Salton city = x feet

Thus, We get;

The possible elevation of Salton city will be;

⇒ x < - 2 feet

Where, x is the elevation of Salton city.

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