QI - The sum of the distance of a moving
point from the points (c,0) and (-c,0) is
always 2a units. Find the equation to the locus
of the moving point.​

Answer:

B

Step-by-step explanation:  The givens are that line p is perpendicular to line q, so you know that angle 1 + angle 2 = 90 and angle 3 + angle 4 are 90 degrees.  You can not tell by looking at the picture any other information, so you can only tell that angle 1 + angle 2 is congruent to angle 3 + angle 4.

Answer:

B is the right answer

Step-by-step explanation:

x x y = (13 i + 4 j - 9 k) x (- i + 7 j - 4 k)

Distribute the cross product:

x x y = 13*(-1) (i x i) + 4*(-1) (j x i) + (-9)*(-1) (k x i)

........... + 13*7 (i x j) + 4*7 (j x j) + (-9)*7 (k x j)

........... + 13*(-4) (i x k) + 4*(-4) (j x k) + (-9)*(-4) (k x k)

x x y = -13 (i x i) - 4 (j x i) + 9 (k x i)

........... + 91 (i x j) + 28 (j x j) - 63 (k x j)

........... - 52 (i x k) - 16 (j x k) + 36 (k x k)

By definition of the cross product, we have

i x i = j x j = k x k = 0

i x j = k

j x k = i

k x i = j

and for any two vectors x and y, the product is anti-symmetric:

x x y = -(y x x)

This makes the products on the "diagonal" vanish, and we can condense terms using the anti-symmetry property:

x x y = (4 + 91) (i x j) + (9 + 52) (k x i) + (63 - 16) (j x k)

x x y = 95 k + 61 j + 47 i

x x y = 47 i + 61 j + 95 k

Answer:

12.90= .90+ 2x

12=2x

6=x

Each bag of books cost was $6

Answer: the answer is $6

Step-by-step explanation:

Since Betty payed .90 cents on tax we can subtract this from the equation because we are just trying to focus on how much she spent on one bag. Now all we have left is $12. Then we would have to divide 12 by the number of bags she bought, so 2. 12 divided 2 equals 6, meaning Betty spent $6 per bag.

Answer:

Step-by-step explanation:

ghjikop0987trsxzcvbhtrdxc vbhgfc

Answer:

3/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Two angles are supplementary when their sum is 180

∠AXB + ∠BXC = 180°   {Supplementary angles}

8x + 10 + 2x - 20 = 180    

Add the like terms

10x - 10 = 180

10x = 180 + 10

10x = 190

x = 190/10

x = 19°

∠AXB  = 8x + 10

          = 8 * 19 +10

          = 152 + 10

∠AXB  = 162

Answer:

180 degrees

Step-by-step explanation: the measure of angle AXB is ( a + a )  and the sum of the measured angles AXB and BXC  = 180 , so a + ( a + a) = 180.

both these angles add up to be 180 degrees because they are both supplementary angles  they both share the sides  of x  and b.  

if it confuses you, just use  a bit of repeated addition and multiplication

for example  : 30 + 30 + 30 + 30 + 30 = 5 x 30 which equals to 150

because you add 30 , 5 times .

Answer:

7

Step-by-step explanation:

We can simplify the equation to

12 = 2x - 2

Add 2 to both sides

14 = 2x

Divide by 2

x = 7

Answer:

7

Step-by-step explanation:

Answer:

Step-by-step explanation:

6.8/3 is the scale factor

1.35*(6.8/3)=3.06

1.8*(6.8/3)=4.08

3.75*(6.8/3)=8.5

8.5-8.35=0.15

3.4-3.06=0.34

since C is closer to the right proportion, if there is no option D, it should be the 2 answer you choose

Option B is definetly right, but what about another option, is there an option D?

Answer:

((n-x)/n)*100

Step-by-step explanation:

The Answer is:

((n-x)/n)100

Answer:

Mini golf: $10.00, batting cage: $2.50

Step-by-step explanation:

We have that 5 mini golf + 4 batting = 60, and 3 mini golf + 6 batting = 45.

Let m=mini golf price, and b=batting cage price.

Then 5m+4b=60 and 3m+6b=45.

We can multiply the first equation by 3 and second by 5 to get

15m+12b=180

15m+30b=225

Subtract the two to get -18b=-45, so b=45/18=$2.50

Then m=$10 if you substitute b back in the first equation.

Hope that helped,

-sirswagger21

Answer:

mini golf10:00 batting cage 2:50

Step-by-step explanation:

Answer:

[tex]D = 1 - \frac{1}{4}[/tex]

[tex]D = \frac{3}{4}[/tex]

Step-by-step explanation:

Given:

1 bag of potting soil

[tex]Peat Moss = \frac{1}{4}[/tex]

Required

What part is dirt?

The whole bag of potting soil is represented as 1;

Let P represent Peat Moss and D represented Dirt; Such that

[tex]P + D = 1[/tex]

Subtract P from both sides

[tex]P - P + D = 1 - P[/tex]

[tex]D = 1 - P[/tex]

Substitute [tex]\frac{1}{4}[/tex] for P

[tex]D = 1 - \frac{1}{4}[/tex]

Take LCM

[tex]D = \frac{4-1}{4}[/tex]

[tex]D = \frac{3}{4}[/tex]

Hence, [tex]1 - \frac{1}{4}[/tex] or [tex]\frac{3}{4}[/tex] of the potting soil is Dirt

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The product of the two resulting integers is 80.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Let the unknown integer be represented by x. Given that the sum of two consecutive integers is -15. Therefore, we can write,

x + (x+1) = -15

2x + 1 = -15

2x = -16

x = -8

Thus, the smaller integer is -9 and the larger integer is -8.

Now, If 1 is added to the smaller integer and 2 is subtracted from the larger integer.

Smaller Interger = -9 + 1 = -8

Larger Integer = -8 - 2 = -10

Further,  the product of the two resulting integers is,

Product = -8 × -10

             = 80

Hence, the product of the two resulting integers is 80.

Learn more about Multiplication:

https://brainly.com/question/14059007

#SPJ2

[tex]value \: of \: x \: is \: 210 \\please \: see \: the \: attached \: picture \\ for \: full \: solution \\ hope \: it \: helps[/tex]

Answer:

[tex]210 \: \: \: degrees[/tex]

Step-by-step explanation:

Two equilateral triangles and a square are join together.

So, in a equilateral triangle all the angles are equal. which means an angle measures 60 degrees.

Also in a square all the angles are equal . it measures 90 degrees.

x = two triangle = 60 +60

square = 90

[tex]60 + 60 + 90 \\ = 210[/tex]

hope this helps you.

brainliest appreciated

good luck! have a nice day!

Step-by-step explanation:

If p = a number is negative and q = the additive inverse is positive, the converse of the original statement is q → p. If q = a number is negative and p = the additive inverse is positive, the contrapositive of the original statement is ~p → ~q.

Answer:

k= 10

Step-by-step explanation:

2x - 5y = 15

ky = 20 +4x

Solve the first equation for  y

-5y = -2x +15

Multiply by -2

10y = 4x - 30

If k = 10 then the slopes are the same, but the y intercepts are different.

The lines are parallel.  They will never intersect, and they have no solution

Answer:

D

Step-by-step explanation:

- 5y = - 2x +15

10y = 4x - 30

if k = 10, then the y intercepts are different, and the lines--being parallel--don't ever meet, so k = 10 would result in 0 solutions.

Hope this helps!

Answer:

18y=15mx/m

Step-by-step explanation:

that's the set up

Answer:

the correct answer should be -2.65

Step-by-step explanation:

the mistake is dividing 17y by 15 instead of 17

Answer: number 16 is d

number 20 is d

Step-by-step explanation:

Answer:

The answer for 16 is A,  the answer for 20 is D, and the answer for 25 is A

Step-by-step explanation:

For 16, the equation is 6a = 72. 6a is also equal to 6*a. To get a one side by itself, you have to divide both sides by 6.

For 20, it only makes sense for it to be a triangular prism because it has 2 triangles as the base and 3 faces

For 25, you can subtract what was the leftovers from the total number of pizzas. 8 - 1 3/4 - 5/6 is about 5.41, which is closer to 5 so the answer is 5.

Answer:

you can go on 6 rides if you have $50

Step-by-step explanation:

50-7= 43

43/7= about 6

Answer:

1. D

2. A

Step-by-step explanation:

Brainliest please?

Answer:

The answer would be C

Step-by-step explanation:

Answer:

D. m³+m²

Step-by-step explanation:

If expression is 2m²-m²(7-m)+6m² then after distributing and combining like terms it will be:

2m² -7m²+m³+6m²

m²+ m³

Answer:

other guy is right

Step-by-step explanation:

edg. 2020

Answer:

3/10

Step-by-step explanation:

Answer:

top right corner

Step-by-step explanation:

Answer:

The answer is 4/B

Step-by-step explanation:

Mark me brainiiest.

Answer:

Here's what I get  

Step-by-step explanation:

Total cost = equipment cost + monthly fee × number of months

Let C = total cost

and e = equipment cost

and f = monthly fee

and x = number of months. Then

C = e + f·x  

The condition is that C ≤ $175 or

e + f·x ≤ $175

1. NetGear

e = $99; f = $5/mo

The condition is  

99 + 5x ≤ 175

[tex]\begin{array}{rcll}99 + 5x & \leq & 175 &\\5x & \leq &76 & \text{Subtracted 99 from each side}\\x & \leq & \dfrac{76}{5} & \text{Divided each side by 5}\\\\x & \leq & \mathbf{15.2} & \text{Simplified}\\\end{array}\\[/tex]

The centre could rent the games for 15 mo.

They would pay $99 for the equipment.

Fifteen months rental at $5/mo = $75.

Total cost = $174.

2. Anytime Games

e = $19; f = $19/mo

The condition is  

19 + 19x ≤ 175

[tex]\begin{array}{rcll}19 + 19x & \leq & 175&\\19x& \leq & 156 & \text{Subtracted 19 from each side}\\x & \leq & \dfrac{156}{19} & \text{Divided each side by 19}\\\\x & \leq & \mathbf{8.2} & \text{Simplified}\\\end{array}\\[/tex]

The centre could rent the games for eight months.

They would pay $19 for the equipment.

Eight months rental at $19/mo = $152.

Total cost = $171.

3. Recommendation

The Community Centre should rent from NetGear.

They can rent for 15 mo without going over the budget.

With the other company, they can rent for only eight months.

The graphs below show how the costs for the two companies vary with the number of months.

Anything above the horizontal orange line at C = $175 is beyond the Community Centre's budget.  

Answer:

Option A

Step-by-step explanation:

Slope is: [tex]m=\frac{\text{Rise}}{\text{Run}} =\frac{y_2-y_1}{x_2-x_1}[/tex]

We are given the points (-4,3) and (3,1).

[tex]m=\frac{1-3}{3-(-4)}=\frac{-2}{7} =\boxed{-\frac{2}{7}}[/tex]

Option A should be the correct answer.