Use the point-slope equation to identify the slope and the coordinates of a point
on the line y – 4 = (x – 1).

The slope of the line is
.

A point on the line is

Answer:

25

Step-by-step explanation:

[tex]5^{6} * 5^{-4} = 5^{6-4} = 5^{2} = 25[/tex]

Answer:

The answer is 25

Step-by-step explanation:

=======================================================

Explanation:

Let's check choice A

If we plugged x = 5 into the inequality for set A, then,

x+2 > 10

5+2 > 10

7 > 10

which is false. So 5 ∉ A is a true statement. It means "5 is not in set A".

Let's plug x = 5 into the inequality for set B

2x > 10

2*5 > 10

10 > 10

Which is false. So x = 5 is not in set B. The statement 5 ∈ B is false. It should be 5 ∉ B instead.

We can cross choice A off the list.

---------------------------

Now onto choice B

Let's plug x = 6 into the inequality for set A

x+2 > 10

6+2 > 10

8 > 10

This is false, so saying 6 ∈ A is false.

Cross choice B off the list.

---------------------------

Choice C

If we plugged x = 8 into the inequality for set A, then x+2 > 10 would turn into 10 > 10, but that's false. So saying 8 ∉ A is a true statement.

If we plugged x = 8 into the inequality for set B, then we'd go from 2x > 10 to 16 > 10. That being true leads to 8 ∈ B being true.

We conclude that choice C is the final answer since both 8 ∉ A and 8 ∈ B are true statements.

---------------------------

We could stop at choice C, as we already found the answer, but let's check choice D.

Plug x = 9 into the inequality for set A

x+2 > 10

9+2 > 10

11 > 10

So saying 9 ∈ A is true, since x = 9 makes x+2 > 10 true.

Now try x = 9 into set B

2x > 10

2*9 > 10

18 > 10

We see that x = 9 is also in set B. So it should be 9 ∈ B and not 9 ∉ B

In other words, the first part of D is correct, but the second part is not.

We can cross choice D off the list.

Answer:

C. 8 ∉ A; 8 ∈ B

Step-by-step explanation:

Answer:

-12

Step-by-step explanation:

x=6

g(6)=-2*6=-12. Answered by Gauthmath

Answer:

-4√5

Step-by-step explanation:

Collect the like terms

(-1-3)

= -4√5

Answer from Gauthmath

Answer:

Step-by-step explanation:

Prime factorize 121 and 99

121 = 11 * 11

99 = 11 * 3 * 3

Common factor = 11

Answer:

The domain is;

0 < c ≤ 15

Step-by-step explanation:

We are told that Levi's average calories consumed per day is denoted by c.

Now, we are told it is subject to a maximum of 15 calories.

Thus; c ≤ 15

Now,if he is losing weight consistently, then c must be greater than 0.

Thus,the domain is;

0 < c ≤ 15

Answer:

(a) 320 cm²

(b) 75 cm³

Step-by-step explanation:

The scale factor from A to B is 8/4 = 2.

The scale factor of the areas is 2² = 4.

The scale factor of the volumes is 2³ = 8.

(a)

80 cm² * 4 = 320 cm²

(b)

600 cm / 8 = 75 cm³

The required surface area of shape B is 320 cm² and the volume of shape A is 75 cm³.
               

Given that,
The base of shape A is a circle with a radius of 4 cm
The base of shape B is a circle with a radius of 8 cm.

Surface area is defined as the area of the surface that is uncovered.

Here,
1)
The scale factor of area = 8²/4² = 4
The surface area of shape B = 4 surface area of shape A.
The surface area of shape B = 4 * 80
                                                = 320 cm²

2)
The scale factor of volume = 8³ / 4³ = 8
The volume of shape B = 8 *  the volume of shape A.
The volume of shape A = 600 / 8
The volume of shape A = 75 cm³

Thus, the required surface area of shape B is 320 cm² and the volume of shape A is 75 cm³.
   

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Answer:

100/360 * 2[tex]\pi[/tex]5

1000[tex]\pi[/tex]/360 = 25[tex]\pi[/tex]/9 = 8.722

Step-by-step explanation:

Answer:

360 calories: 90/(3/4)=120

Step-by-step explanation:

I think sorry if im wrong

Answer:

the answer is -2 place x value in equation it gonna be y = 2-4 = -2

Answer:

a) 10:10:10

b)[tex]A_s=600m^2[/tex]

Step-by-step explanation:

From the question we are told that:

Volume [tex]V=1000cm^3[/tex]

a) .

Generally for optimal dimensions

[tex]A=L*B*H[/tex]

Where

[tex]L=B=H[/tex]

Therefore

[tex]L=^3\sqrt{1000}\\L=10[/tex]

Therefore the optimal dimensions will be

10:10:10

b)

Generally the equation for surface area of a cube is mathematically given by

[tex]A_s=6l^2[/tex]

[tex]A_s=6*10^2[/tex]

[tex]A_s=600m^2[/tex]

Answer:

Surface area = 726 cm²

None of the options is correct.

Step-by-step explanation:

Surface area of the composite figure = surface area of cone + surface area of cylinder - 2(area of base of cone)

✔️Surface area of cone = πr(r + l)

Where,

Radius (r) = 5 cm

Slant height (l) = √(10² + 5²) (Pythagorean theorem)

Slant height (l) = 11.2 cm

Plug in the values

= π*5(5 + 11.2)

= 254.5 cm²

✔️Surface area of the cylinder = 2πr(h + r)

r = 5 cm

h = 15 cm

Plug in the values into the formula

S.A = 2*π*5(15 + 5)

S.A = 628.3 cm²

✔️area of base of cone = πr²

r = 5 cm

Area = π*5² = 78.5 cm²

✅Surface area of the composite figure = 254.5 + 628.3 - 2(78.5)

= 882.8 - 157

= 726 cm² (nearest square meter)

None of the options is correct.

Answer:

(-4,2)

Step-by-step explanation:

First we have to find a common multiple to use to add and find the system of equations. We need to eliminate one of the variables in order to solve.

Since 5 * 3 = 15, and 3 * -5 = 15, -15x and 15x will cancel each other out. Therefore x will be eliminated.

Before:

5x + 2y = -16

3x + 7y = 2

After:

15x + 6y = -48   <----------Now we solve for y

-15x + -35y = -10

+----------------------

-29y = -58

-29      -29

y = 2

Now what we do is we choose and equation and solve for x, since it is still unknown. Any equation is fine but I will choose the second one since it has easy numbers.

3x + 7y = 2

3x + 7(2) = 2

3x + 14 = 2

   -14     -14

----------------------

3x = -12

3        3

x = -4

Therefore our final answer is (-4,2)

Answer:

Quadrant 2 and 3

Approximately, 113 and 247 degrees.

Step-by-step explanation:

I just used Desmos and graphed the equation. The values of theta are 113 and 247.

Answer:

The answer is victor

peter paid : 15 for 1 pizza

victor paid : 16.875

George paid : 16

Hope it helps

Answer:

Victors pizza

Step-by-step explanation:

Peter paid 45 for 3 pizzas if we divide that it gives us 15 for each pizza

George paid 32 for 2 pizzas which if we divide it 16 for each pizza

Finally for Victor we just divide 135 by 8 and that gives us 16.875 for each pizza.

If we compare those values the highest is for sure Victors at 16.875 or 16.88 per pizza.

Hope this helps

:)

Answer:

its letter c

Step-by-step explanation:

I hope this help

.......19 is the answer need any explanation????

Answer:

B

Step-by-step explanation:

We know that 10'  = 1". We want to find a x and y for 300' = x" and 200' = y". We can do this by figuring out ratios between similar values. For the numbers ending in ', we can say that 300/10 = 30 and 200/10 = 20. Therefore, to get x and y, we can multiply

10' = 1" by 30 on both sides to get

300' = 30"

and multiply by 20 on both sides to get

200' = 20"

Therefore, we can say that 300' by 200' = 30" by 20"

Answer:

y = 3/2x + 13

Step-by-step explanation:

y = 3/2x + b

4 = 3/2(-6) + b

4 = -9 + b

13 = b

Answer:

The answer is number 2. hope that helps

Answer:

(3,-12)

Step-by-step explanation:

the triangle has points A(-2,-2) B(1,-5) and C(-5,-5) the translation of (2 horizontally,-7 vertically)  will cause B to translate to coordinates (3, -12)

Answer:

20 unit²

Step-by-step explanation:

A trapezium is given to us on the grid and we need to find out the area of the trapezium . In order to find the area , we need to find the measure of the parallel sides and the distance between the parallel sides.

From the grid :-

[tex]\rm\implies Side_1 = 7 \ units [/tex]

[tex]\rm\implies Side_2 = 3 \ units [/tex]

[tex]\rm\implies \perp \ Distance =4 \ units [/tex]

Now here we got the two parallel sides of the trapezium and the distance between the two parallel sides. Now we can find the area as ,

[tex]\rm\implies Area_{Trapezium}= \dfrac{1}{2}\times ( s_1 + s_2) \times \perp \ Distance \\\\\rm\implies Area = \dfrac{1}{2} \times ( 7 + 3 ) \times 4 \ unit^2 \\\\\rm\implies Area = \dfrac{1}{2} \times ( 10) \times 4 \ unit^2 \\\\\rm\implies\boxed{\rm Area = 20 \ unit^2}[/tex]

Answer:

(9/4,3/4) or (2.25, 0.75)

Step-by-step explanation:

The dilation is 1/4. We can tell this by looking at (8,12) and (2,3). 8*1/4=2 and 12*1/4=3. So therefore we just need to times 9 and 3 by 1/4. 9*1/4=2.25 or 9/4 and 3*1/4=0.75 or 3/4. so the dilation (9/4, 3/4). I believe this is correct but if I am not please tell me.

Answer:

C

Step-by-step explanation:

Answer:

Solution given:

1:

<5=<6

<5+<4=180°[co interior angle]

Substituting value of<5

<6+<4=180°[it shows a property of co interior angle]

So

l || m

2:

<1=90°[ l is perpendicular to t]

<2=90°[m is perpendicular to t]

since

<1=<2[shows property of corresponding angle]

:.

l || m.

3:

<1=<2

<1=<3

substituting value of<1 in second one

<2=<3[which shows property of alternate Angel]

So

Segment ST || segment UV.

4:

<RSP=<PQR......[I]

<QRS+<PQR=180°.....[ii]

from equation I and ii we get

<RSP+<QRS=180°[which shows property of co interior angle ]

So

Segment PS || segment QR

These pictures are the questions given in the pdf, let's get the solutions.

1) Solution

It is given that,

→ <5 = <6

Then the co interior angles,

→ <5+ <4 = 180°

Now substituting value of <5,

→ <6+ <4 = 180°

This shows property of co interior angle.

Therefore, L II m.

2) Solution

Take it as,

→ <1= 90°

In above eq. L is perpendicular to t.

→ <2 = 90°

In above eq. m is perpendicular to t.

Then it will be,

→ <1 = <2

It shows property of corresponding angle.

Therefore, L II m.

3) Solution

It is given that,

→ <1 = <2 and <1 = <3

Now substitute,

The value of <1 in second one,

→ <2 = <3

This shows property of alternate angle.

Therefore, ST II UV.

4) Solution

It is given that,

→ <RSP = <PQR --- (1)

→ <QRS + <PQR = 180° --- (2)

Now from the equation (1) and (2),

→ <RSP + <QRS = 180°

It shows property of co interior angle.

Therefore, PS II QR.

Answer:

B. domain is all integers 0 through 9

Step-by-step explanation:

Domain values area usually plotted along the horizontal axis. In this case, the number of days is the domain of the of the function.

The domain of the function that is plotted on the graph ranges from 0, 1, 2 to 9.

1, 2, 3 to 9 are all integers. Therefore, we can conclude that the "domain is all integers 0 through 9."

Answer:

C. 13

Step-by-step explanation:

Quarters are worth 25 cents each

Nickels are worth 5 cents each

Let n be the number of nickels that Jamar as in his pocket.

We already know that he only has 1 quarter in his pocket which is worth 25 cents, so we can form this equation:

5n + 25 = 90

5 meaning that each nickel is worth 5 cents, 25 meaning that he has only 1 quarter in his pocket (25 cents) and 90 meaning that he has a total of 25 cents in his pocket.

We have to isolate the n so we can subtract 25 from both sides to get:

5n = 65

After that we can get n by dividing 5 from both sides:

n = 13

Therefore there are 13 nickels in his pocket.

Let me know if I did anything incorrectly.

The number of nickels he has is 13. The correct option is C.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that quarters are worth 25 cents each and nickels are worth 5 cents each.

Let n be the number of nickels that Jamar has in his pocket.

We already know that he only has 1 quarter in his pocket which is worth 25 cents, so we can form this equation:

5n + 25 = 90

5 meaning that each nickel is worth 5 cents, 25 meaning that he has only 1 quarter in his pocket (25 cents), and 90 meaning that he has a total of 25 cents in his pocket.

We have to isolate the n so we can subtract 25 from both sides to get:

5n = 65

After that we can get n by dividing 5 from both sides:

n = 13

Therefore, the number of nickels he has is 13. The correct option is C.

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