Solve the system of equations:

y = x + 2
y = x2 + 5x + 6

A.
(0, 2) and (2, 4)

B.
(–2, 0) and (–3, 0)

C.
(–2, 0)

D.
(0, 2)

Answers

Answer 1

Answer: C

Step-by-step explanation:

Since both equations are set equal to y, it follows that

[tex]x+2=x^2 + 5x+6\\\\x^2 +4x+4=0\\ \\ \\(x+2)^2 = 0\\\\x=-2\\\\\implies y=-2+2=0[/tex]

So, the solution is (-2, 0).


Related Questions

Help, this is confusing for me

Answers

Answer:

B: 163,343

Step-by-step explanation:

V=πr²h 34²=1156, 1156×45=52020, 52020×3.14(π)=163,342.8, then round up.

Given g(x)=3x+5g(x)=3x+5, find g(-6)g(−6).

Answers

Answer:

Step-by-step explanation:

hello :

g(x)=3x+5

g(−6).=3(-6) +5 = -18+5 = -13


What is the value of b?

Help please

Answers

Answer:

4/3 is ur answer which is equal to 6.92820323028

which i B's side length

Step-by-step explanation:

This is a 30-60-90 triangle
Which means that the longer leg=square root of 3 times the shortest leg ( the shortest leg lies opposite of the 30 degrees angle)

=4_/3 or the second choice

Which is not a characteristic of an exponential parent function?
O A. It passes through (0,1).
O B. The domain is all real numbers.
O C. It goes through the origin.
O D. The range is positive real numbers (y > 0).

Answers

Given:

The characteristic of an exponential parent function in the options.

To find:

Which is not a characteristic of an exponential parent function?

Solution:

The exponential parent function is:

[tex]y=b^x[/tex]

Where, [tex]b>0[/tex].

At [tex]x=0[/tex],

[tex]y=b^0[/tex]

[tex]y=1[/tex]

It means the function passes through the point (0,1) but it does not passes through the origin. So, the statement in option A is true but the statement in option C is false.

The domain of the exponential parent function is all real numbers and the range is positive real numbers (y > 0).  So, the statements in the options B and D are true.

Therefore, the correct option is C.

What's the equation for a circle of (2,-5) and a radius of 2

Answers

Answer:

(x+5)2+(y+5)2=22, or (x+5)2+(y+5)2=4.

Step-by-step explanation:

Answer:

(x - 2)^2 + (y + 5)^2 = 2^2

Step-by-step explanation:

Adapt the standard equation of a circle with center at (h, k) and radius r:

(x - 2)^2 + (y + 5)^2 = 2^2, where h = 2 and k = -5 and r = 2

Help me find the value of X please

Answers

Answer: x=25

(2x + 15) + x = 90º
3x + 15 = 90
3x = 75
x = 25

Question 2 options:
A pile of sand is in the shape of a cone. The diameter of the sand pile is 22 feet and the height is 12 feet.

The volume of the sand pile is approximately___ cubic feet.

Use 3.14 for pi. Do not round your answer.

Answers

7736.4uhshshszszehzeehe

A man invests $16800 in a savings plan that pays simple interest at a rate of 5% per annum. Find the time taken for his investment to grow to $19800.​

Answers

Answer: 3.57 years

Step-by-step explanation:

Based on the question given, the interest is the difference between the amount and the principal which will be:

= $19800 - $16800

= $3000

The formula for Simple interest is given as:

Interest = Principal × Rate × Time

3000 = 16800 × 5% × Time

3000 = 16800 × 0.05 × Time

3000 = 840 × Time

Time = 3000 / 840

Time = 3.57

The time taken to grow the investment is 3.57 years

What is the perimeter?

Answers

Answer:

41.13m

Step-by-step explanation:

the circumference of the circle is 25.13 and the 8 on both sides equals to 16

Solve for x.
10
8
6

Answers

Answer:

18

Step-by-step explanation:

Intersecting Secants Theorem:

6(x + 6) = 8(8 + 10)

6x + 36 = 8(18)

6x + 36 = 144

6x = 144 - 36

6x = 108

x = 18

Triangle ABC below has a right angle C and a hight CD. If AC is 3 units long and BC is 4 units long, what is the length of AB?

Answers

Answer:

AB = 5

Step-by-step explanation:

Pythagorean theorem: a² + b² = c²

=> 3² + 4² = AB²

=> AB = [tex]\sqrt{3^{2}+4^{2} }[/tex]

=> AB = 5

what is the value of 11²

Answers

Answer: 121

11^2 = 11 x 11 = 121

Answer:

121

Step-by-step explanation:

To square a number, we have to multiply the number by itself. This means we'll multiply 11 by 11.

11 · 11 = 121

So, 11² = 121.

I hope this helps :)


Aretha's teacher will choose two students from a class of 10 to prepare a display. Assuming the teacher chooses these students at random,
what is the probability that Aretha will not be chosen?

Answers

Answer:

80% chance she will not be chosen

Step-by-step explanation:

the ratio of students picked would be 2:10 so there would be 8:10 students not chosen that is 80%. 20% chance she would be chosen.

I hope this is correct!

The probability that Aretha will not be chosen is 0.8.

What is the probability?

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

Given that, Aretha's teacher will choose two students from a class of 10 to prepare a display.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes

Probability of choosing 2students =2/10

Probability of not choosing students = 1-2/10

= 8/10

= 0.8

Therefore, the probability that Aretha will not be chosen is 0.8.

To learn more about the probability visit:

https://brainly.com/question/11234923.

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You pick a card at random. 4 5 6 6 7 8 9 )) What is P(prime)? Write your answer as a fraction or whole number.​

Answers

It’s 6....... bc just bc its 6

The probability of getting prime number is 2/7.

What is Probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

Outcome = 4, 5, 6, 6, 7, 8, 9.

Number of outcome = 7.

a) The prime numbers from the outcome are 5 and 7.

So, the probability of getting prime number

= 2/7

Hence, the probability is 2/7.

Learn more about Probability here:

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At a point on the ground 50 feet from the foot of
a tree, the angle of elevation to the top of the tree is 53º. Find
the height of the tree.

Answers

Answer:

[tex] \tan(53) = \frac{x}{50} \\ x = \tan(53) \times 50 \\ x = 66.35 \: feet[/tex]

Step-by-step explanation:

I hope that is useful for you :)

The height of the tree with angle of elevation of 53⁰ is 66 ft.

What is Angle of Elevation?

The angle of elevation is the angle between the horizontal line of sight and the object.

Here,  Let the height of the tree be x ft.

          The angle of elevation = 53⁰

          Distance from ground = 50 ft.

According to question,

        tan 53⁰ = x/50

         x = 50 × tan 53⁰

         x = 50 X 1.32

         x = 66 ft.

Thus, the height of the tree with angle of elevation of 53⁰ is 66 ft.

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PLEASE HELPPPPPPPPPP

Answers

Answer:

y = 25.20 m

Step-by-step explanation:

By applying tangent rule in ΔABC,

tan(25)° = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

             = [tex]\frac{y}{BC}[/tex]

BC = [tex]\frac{y}{\text{tan}(25)}[/tex] --------(1)

Now we apply tangent rule in ΔABD,

tan(15)° = [tex]\frac{y}{BC+CD}[/tex]

tan(15)° = [tex]\frac{y}{BC+40}[/tex]

BC + 40 = [tex]\frac{y}{\text{tan}(15)}[/tex]

BC = [tex]\frac{y}{\text{tan}(15)}[/tex] - 40 -------(2)

From equation (1) and (2),

[tex]\frac{y}{\text{tan}(25)}=\frac{y}{\text{tan}(25)}-40[/tex]

[tex]\frac{y}{\text{tan}(25)}-\frac{y}{\text{tan}(25)}=-40[/tex]

[tex]y[\frac{1}{\text{tan}(25)}-\frac{1}{\text{tan}(25)}]=-40[/tex]

y(2.1445 - 3.7321) = -40

1.5876y = 40

y = 25.1953

y ≈ 25.20 m

Therefore, measure of y is 25.20 m.

Find the surface area of
the prism.
14 in.
7 in.
5 in.
The surface area is _in2

Answers

The surface area is 406in2 hoped this helped :)

A sphere has a volume of 1,436 in3. What is its radius?

Answers

Answer:

do the reverse of pie r squared

Step-by-step explanation:


HELP!
Part B:
Is the distance between the flagpole in the street light was 22 yards, with the three landmarks from a right triangle? Show or explain your work.
Part C: if both of distance between the drinking fountain Street light in the drinking fountain in blackboard double, how would that affect the distance between the flagpole a street light? Sure it’s from your work here for you.

Answers

The answer is 20 I think because 10 plus 10

A waitress kept track of whether her customers ordered an appetizer and
dessert. Her data are shown in a relative frequency table.
Total
0.4
Dessert
No dessert
Total
Appetizer
0.1
0.2
0.3
No appetizer
0.3
0.4
0.7
0.6
1.0
What does the 0.2 in the highlighted cell mean?
A. 20% of the customers who ordered an appetizer did not order
dessert.
B. 20% of her customers did not order dessert.
C. 20% of her customers ordered an appetizer but no dessert.
D. 20% of her customers ordered an appetizer.
SUBMIT
PREVIOUS

Answers

In the table given in the question 0.2 means that 20% of her customers ordered an appetizer but not a dessert.

What is two way table?

Two way table is a table which shows the frequencies or relative frequencies of some values in the data.

How to find frequency?

From the table it is given that:

0.1=10% of the customers ordered both an appetizer and a dessert.0.3=30% of the customers ordered a dessert but not an appetizer.0.4=40% of the customers ordered a dessert.0.2=20% of the customers ordered an appetizer but not a dessert.0.4=40% of the customers neither ordered appetizer nor dessert.0.3=30% of the customers ordered an appetizer.0.7=70% of the customers did not order an appetizer.

The total is of 100%.

Hence the highlighted cell mean contains 0.2 shows that 20% customers ordered an appetizer but not a dessert.

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ABC is a right triangle. calculate the length of side BC (the hypotenuse)​

Answers

Answer:

we have

C=(2,-1)

B=(-2,3)

since

BC is hypotenuse

length of BC=√[(-2-2)²+(3+1)²]=√32=4√2 units is your answer

During math class, Erik draws a circle with a compass. The circle has a radius of 3 inches. What is the circle's diameter?

Answers

Answer: 6 inches

Step-by-step explanation:

The diameter is double the radius

6 inches diameter is always double the radius.

Question 3
The population of a sample of bacteria triples every minute. If the initial population of the sample is 2 bacteria, Nicholas believes
the equation p-2(3)' can be used to find the total population after t minutes,
=
Is Nicholas correct? If not, why not?
a.No, Nicholas switched the initial population and the rate. The equation should be P - 3(2)'
b.No, Nicholas should have wrrtten a linear equation. The equation should be P - 2+ 31
c.Yes, Nicholas is correct.

Answers

Answer:

C. Yes nicholas is right.

David drew this diagram of a picture frame he is going to make. Each square represents 1 square inch. What is the area of the picture​ frame?

Answers

Answer:

64 in²

Step-by-step explanation:

Find the area of the larger rectangle first, and then minus the area of the smaller rectangle.

The length of the larger rectangle

= 9-3 = 6 in

The width of the larger rectangle

= 17-1 = 16 in

The area of the larger rectangle

= 6×16

= 96 in²

The length of the smaller rectangle

= 8-4 = 4 in

The width of the smaller rectangle

= 13-5 = 8 in

The area of the smaller rectangle

= 4×8

= 32 in²

The area of the picture frame

= 96-32

= 64 in²

Awnser question and show your work if you can (i will give brainliest

Answers

Answer:

answer is -1.75

Step-by-step explanation:

[tex]y = 12 \\ y = - 4x + 5 \\ \\ \: \: \: \: 12 = - 4x + 5 \\ - 5 \: \: \: \: \: \: \: \: \: \: \: - 5 \\ \\ 7 = - 4x \\ \div - 4 \: \: \: \: on \: both \: sides \\ \\ - 1.75 = x[/tex]

3. Marissa owes her parents
money for her car. She paid
them $163 for 24 months
until she finished paying her
debt. Which integer
represents how much
money she owed her
| parents?

Answers

She owed $3,912.

Explanation: 163 * 24 = 3,912

What is the length of LM ?

Answers

Answer:

b

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

hope it helps ☺

Solve for h. 28 = h 9 + 23

Answers

Answer:

28 = h 9 + 23

28 = h 32

h = 32 - 23

h = 9

28=h9+23
-23 -23
5=h9
5/9= h

Which set of ordered pairs (x, y) could represent a linear function of x?? A ((-2,8), (0,4) , (2, 3) , (4,2)) B ((1,2), (1,3),(1,4), (1,5)) C ((-2,7) , (0,12),(2,17),(4,22)) D ((3,5), 4,7) , (3, 9) , (5,11))

Answers

Answer:

A linear function is when it goes up the same amount each time. The first one does because it increases by 2 each time, so A

Step-by-step explanation:

A rectangle with a length of 22 feet and an unkown width,W, has a perimeter of 74 feet. Set up and slove an equation to find the vaulur of W

Answers

Answer: W=15

Step-by-step explanation: The equation you set up is 2(L) + 2(W)=74

2(22) + 2W=74

44+2W=74

Subtract 44 from both sides

2W=30

Divide both sides by 2

W=15

it equals 15
some math put with other math equals 15
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