Find the equation of a line that passes through the point (0,1) and has a gradient of 2.
Leave your answer in the form y= mx + c

Angle APB and angle AOB are subtended by the same arc [tex]\mathbf{\widehat{AB}}[/tex] on the

circumference.

Correct response:

The given parameters are;

Points A, B, and P are on the circumference of the circle

∠OBA = 38°

Required:

The measure of ∠APB

Solution:

Segments OB and OA are radii of the circle

Therefore;

OB = OA

ΔAOB = An isosceles triangle

Which gives;

∠ABO = ∠BAO = 38°

∠AOB = 180° - (∠ABO + ∠BAO)

Therefore;

∠AOB = 180° - (38° + 38°) = 104°

∠AOB = 104°

According to circle theorem, we have;

Angle subtended at center = 2 × Angle subtended at the circumference

Therefore;

∠AOB = 2 × ∠APB

Therefore;

104° = 2 × ∠APB

Which gives;

[tex]\angle APB = \dfrac{104^{\circ}}{2} = \mathbf{ 52^{\circ}}[/tex]

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Answer:

506

Step-by-step explanation:

Each of the 23 students hand out 22 cards.  They do not give themselves one.  Therefore, the number of cards exchanged is 23 x 22 = 506. 

Answer:

x = -8

Step-by-step explanation:

16 = -2x

x = 16/-2

  = -8

BRAINLIEST.

SIMPLE AND EZ.

Answer:

-8

Step-by-step explanation:

-8

x =-8

x =-16 /-2

ok give me five star

Answer: 37

Step-by-step explanation:

87 x 2 = 174

248 - 174 = 74

74 divided by 2 = 37

So, therefore you answer will be 37

:))

The number of pigs on the farm will be equal to 37.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Gerry visited a farm and saw a total of 87 chickens and pigs. If there were a total of 248 legs between all of these animals.

The number of pigs will be calculated as,

87 x 2 = 174

248 - 174 = 74

74 divided by 2 = 37

Therefore, the number of pigs on the farm will be equal to 37.

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#SPJ2

Step by step explanation is given above.

The table that represents the distribution of necklace and keychain is an illustration of linear inequalities

The true statement is that, you cannot make more than 30 necklaces and 20 keychains, respectively

The term "available" means less than or equal to.

Using the data on the table (see attachment), we have the following system of inequalities

[tex]0.5x + 0.25y \le 20[/tex]

[tex]2x + 3y \le 120[/tex]

[tex]x \ge 0[/tex]

[tex]y \ge 0[/tex]

Next we plot the graph of the inequalities (see attachment)

From the attached graph, the solution to the system of inequalities is:

(x,y) = (30,20)

This means that:

You cannot make more than 30 necklaces and 20 keychains, respectively

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Answer:

Break up the decimal.

Step-by-step explanation:

4 + 0.30 + 0.07.

Answer:

Frame B has the shorter width.

Step-by-step explanation:

The area of a rectangle is given by length×width. If the two have a maintained area of 45 in², then length and width are inversely proportional, meaning if one goes up, the other must go down. Since Frame B has a larger length than Frame A and both frames have the same area, Frame B must have a shorter width to accommodate for its larger length.

Answer:

do you have an image for A and B also?

Answer:

-11

Step-by-step explanation:

Draw a number line

   -5                                0                                        6

----|------|-----|-----|-----|------|-----|------|-----|-----|-----|------|-----

Count from 6 to 5 on the number line. Which gives you 11. You're going into the negative side so add a negative sign to the 11 to get your answer. -11.

Hope this helps.

Answer:

Step-by-step explanation:

total bolts

[tex]=4.6*10^8+6.3*10^8\\=(4.6+6.3)*10^8\\=10.9*10^8[/tex]

Answer:

21

Step-by-step explanation:

when you plug in the numbers, it is (6)(1/2)(7)

You then solve in order: 6 x 1/2 = 3

3 x 7 = 21

hope this helps

Answer:

C

Step-by-step explanation: The standard form of an exponential equation is

[tex]a^{x+h} +k[/tex]

where a is the vertical dilation, h is the horinzontial translation, and k is the vertical translation.

Lets go through these options step by step.

A. In an exponetial equation, when k>1, the graph is translated upwards vertically. However, k could still be positive and doesn't be the shape of the picture of the graph always.

Plus our exponential function has an horinzontial asymptote at y=-4 so k here is negative, not positive.

B. When a<0, the graph end behavior changes. When a>1, the right side of the graph approaches infinity while the left side approaches an asymptote. However, when a<0, the graph could be two things. One ( when a< -1) could be that the right side approaches negative infinity, and the left side approaches asymptote. The other could be that (when -1<a<0) that the right side approaches an asymptote and the left side approaches negative infinity. In this function, this models a traditional exponetial function, when a is greater than 1 so B/D is Wrong.

C is correct, when a>1, the end behavior for the right side is infinity, and for the left side is some asymptote.

Answer:

v=8

Step-by-step explanation:

35=3v+11

subtract 11 from both sides

35-11=3v

24=3v

divide both sides by 3

8=v

Answer:

V=8.

Step-by-step explanation:

To get the answer you first subtract 11 from both sides of the equation

35=3v+11

-11         -11

The two 11's on the right side would cancel out leaving

24=3v

Then you divide both sides by 3

24/3=3/3

the two 3's would cancel out leaving

24/3 or 24 divided by 3.

24/3 equals 8.

so in conclusion v=8.

Hope this helps! :D

Check the picture below.

so, since we know the height of the triangle and its base is simply a + b, then

[tex]\textit{area of a triangle}\\\\ A=\cfrac{1}{2}bh~~ \begin{cases} b=\stackrel{a}{9}+\stackrel{b}{3}\\ \qquad 12\\ h=3\sqrt{3} \end{cases}\implies A=\cfrac{1}{2}(12)(3\sqrt{3})\implies A=18\sqrt{3}[/tex]

Answer:

1190mm

Step-by-step explanation:

Find what the two rectangle are first (646mm). Then find the two triangles

(240mm) and then the bottom rectangle (304mm). And then add it all up.

Hope this helps.

Answer:

x=2

Step-by-step explanation:

37=-3+5(x+6)

distribute the 5 to (x+6)

37=-3+5x+30

add the -3 and 30

37=5x+27

Subtract 27 from both sides

37-27=5x-27

10=5x

Divide both sides by 5 to get your answer

10/5=5x/5

2=x

x=2

Answer:

37=-3+5(x+6)

or, 37=-3+5x+30

or, 37=5x+27

or, 37-27=5x

or, 10=5x

or,x =2

Thus, x=2

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\boxed{\mathsf{\dfrac{56}{16}}}\\\\\\\huge\boxed{\mathsf{\rightarrow \dfrac{56\div8}{16\div2}}}\\\\\\\huge\boxed{\mathsf{\rightarrow \dfrac{7}{2}}}\\\\\\\\\huge\text{SIMPLIFY IT!}\\\\\\\huge\boxed{\approx \mathsf{3 \dfrac{1}{2}}}\\\\\\\\\huge\text{Therefore, your answer is: \huge\boxed{\mathsf{3\dfrac{1}{2}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

7/2

Step-by-step explanation:

Given fraction,

→ 56/16

The simplest form of the fraction is,

→ 56/16

→ (56 ÷ 8)/(16 ÷ 8)

→ 7/2

Hence, the simplest form is 7/2.

Answer:

0.35 km

Step-by-step explanation:

As there are 100 cm in 1 m and 1000 m in 1 km, then there are 100 x 1000 = 100,000 cm in a km.

Therefore, to work out cm to km, divide cm by 100,000.

So 35,000 ÷ 100,000 = 0.35 km

The company sells 16 tons of steel in 4 months.

Given that

A steel company sells 48 tons of steel each year.

We have to determine

At this rate, how many tons of steel does the company sell in 4 months?

According to the question

Let the number of tons of steel sells in 4 months be x.

A steel company sells 48 tons of steel each year.

In the 1 year, there are 12 months.

Then,

The number of tons of steel sold in 4 months is,

[tex]\rm \dfrac{Total \ number \ of \ tons \ sells \ in \ 1 \ year}{Number \ of \ steel \ sell \ in \ 4 \months} = \dfrac{Number \ of months \ in \ 1 \ year}{Number \ of \ months}\\\\ \dfrac{48}{x}=\dfrac{12}{4}\\\\x = \dfrac{48 \times 4}{12}\\\\x = 4 \times 4\\\\x=16[/tex]

Hence, the company sells 16 tons of steel in 4 months.

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Answer:

Step-by-step explanation:

If f and g are inverse functions, then f (x) = y if and only if g (y) = x In trigonometry, the inverse sine function is used to find the measure of angle for which sine function generated the value. For example, sin-1(1) = sin-1(sin 90) = 90 degrees.

Answer:

329,204,736

Step-by-step explanation:

(7m²m²n)²; m = -6; n = 2

First, we substitute -6 form and 2 for n.

(7m²m²n)² =

= [7(-6)²(-6)² × 2)²

= [7(36)(36)(2)]²

= 18,144²

= 329,204,736

Answer:

0.28

Step-by-step explanation:

Answer:

x = -4

Step-by-step explanation:

Solve:

The value of x = -4

Check:

-Chetan K

The integers in the interval −3 ≤ x ≤ 4 that satisfy the inequality 3x + 9 ≥ 3 are -2, -1, 0, 1, 2, 3, 4.

To find the values of x in the interval −3≤x≤4 that satisfy the following inequality: 3x + 9 ≥ 3, we solve the inequality.

So,  3x + 9 ≥ 3

Subtracting 9 from both sides, we have

3x + 9 - 9 ≥ 3 - 9

3x + 0 ≥ -6

3x ≥ -6

Dividing both sides by 3, we have

3x/3 ≥ -6/3

x ≥ -2

So, for the interval −3≤x≤4 the values of x that satisfify the inequality must be in the interval x ≥ - 2 and x ≤ 4 ⇒ -2 ≤ x ≤ 4.

So, the integers in this interval are -2, -1, 0, 1, 2, 3, 4.

So, the integers in the interval −3 ≤ x ≤ 4 that satisfy the inequality 3x + 9 ≥ 3 are -2, -1, 0, 1, 2, 3, 4.

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Answer: 3 is 60 percent of 5

Step-by-step explanation:60%

What percent is 3% of 5%? So, the answer in this case would be 60%

Answer:

4

Step-by-step explanation:

if 5:25 then 4:20

Answer:

He would load 4

Step-by-step explanation:

5 trucks every 25 minutes

25 times 4/5 equals 20 minutes

5 times 4/5 equals 4

The answer is 4

Answer:

width is 14, length is 19

Step-by-step explanation:

let w represent the width of the rectangle.

"The length of a rectangle is 5 cm longer than its width."

You can take from this that you must add 5 to the width to get the length.

so, you can now write that L=w+5 .

The formula for perimeter is 2w+2L.

You can plug the values in.

2w+2(w+5) is the expression you get.

use distributive property on the 2(w+5) to get 2w+ 2w+10 . Add same terms together and get 4w+10, which represents the perimeter.

"..The perimeter of the rectangle is 66 cm."

Set the simplified expression 4w+10 to 66 to get

4w+10=66

Subtract 10 from both sides and get

4w=56

divide by four for both sides and get w=14 .

We are not done yet!

To find the length, plug the width back into our formula L=w+5 and get L=14+5. The length is 19.

Answer:

5/8 > 4/12

Step-by-step explanation:

We can check this by making their denominators the same.

First find the lowest common multiple of 8 and 12 which is 24.

5x3=15 and 4x2=12

8x3=24 and 12x2=24

--

5/8 = 15/24 meanwhile 4/12 = 12/24

15/24 > 12/24