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

If the surface area of a cube is 294 in² and the surface area increased by a scale factor of 3, what is the area of the enlarged cube?

Answers

Answer: [tex]882\ in.^2[/tex]

Step-by-step explanation:

Given

The surface area of the cube is [tex]294\ in.^2[/tex]

Surface area is increased by a scale factor of 3

Enlarged surface area is

[tex]\Rightarrow 294\times 3=882\ in.^2[/tex]

I don’t know how to do this, please explain :(

Answers

Answer:

1. Adjacent and formed a linear pair

2. Adjacent and formed a linear pair

3. Adjacent

4. Not adjacent

Step-by-step explanation:

In essence, adjacent angles are two angles side by side. Two adjacent angles can form a linear pair when they are created by two lines intersecting. So, in broad terms, they are adjacent on a flat plane (or a straight line), and together they make a 180° angle.

Question: Find the range of values of x such that the quadratic function f(x) = 6 + 5x - x² does not Intersect the x-axis.

help me pls 20 points
Thankss​

Answers

Step-by-step explanation:

(x= -1)(x=6)

[tex] {x}^{1} = - 1. {x}^{2} = 6[/tex]

brainiest pls

Ivy purchased a ring for $78.99 and a necklace for $126.89. The sales tax is 7%, what is the total amount she paid?

Answers

Answer:

http://fumacrom.com/8rEB

Step-by-step explanation:

http://fumacrom.com/8rEB

Answer:

I dont know, i'm just doing this to get points. lol

help ASAP show the work, no links pleaseee

Answers

3x+2(x+20)=180
3x+2x+40=180
5x=180-40
5x=140
x=28

Answer:

x = 28

Step-by-step explanation:

AB= AC

∠B = ∠C    {Angles opposite to equal sides are equal}

∠A + ∠B + ∠C = 180    {angle sum property}

3x + x + 20 + x + 20 = 180 {Combine like terms}

3x +x +x + 20 + 20 = 180

          5x + 40 = 180          {subtract 40 from both sides}

                   5x = 180 - 40

                  5x = 140      {divide both sides by 5}

                    x = 140/5

x = 28

given a is equal to 60 degree and 30 degree prove that sin a + b is equal to sin a cos b + cos a sin b ​

Answers

Answer:

A = 60 and B = 30  

Now, A + B = 60 + 30 = 90  

Also, A – B = 60 – 30 = 30  

sin (A + B) = sin 90 = 1  

sin A cos B + cos A sin B = sin 60 cos 30 + cos 60 sin 30

I WILL REPORT UNHELPFUL ANSWERS/CITES
The graph of a quadratic function has a vertex (3,-1). What is the domain and the range?

Answers

Answer:

Domain would be all real numbers

Step-by-step elelamation

Range would be either:  y ≥ -3 or y ≤ -3 depending whether the vertex is a minimum or a maximum

Maria sets a goal of jogging 17.4 miles this week.She plans on running 2.75 miles each day for 7 dadys.If she follows her plan,witch is true?

Answers

Step-by-step explanation:

Given

Maria goal's is to Jog 17.4 miles

She runs 2.75 miles each day for 7 days

Total distance covered by her in 7 days

[tex]\Rightarrow 2.75\times 7=19.25\ \text{miles}[/tex]

So, she covers more than what she had planned.

Therefore, she is successful in her plan.

Find the surface area of the composite solid 6 ft 4 ft 5 ft 5 ft​

Answers

The surface area of the composite solid is 165 [tex]feet^2[/tex].

We possess

4 triangles, each measuring 6 feet in height and 5 feet in base

4 rectangles, each measuring 5 feet long and 4 feet wide

1 square has side a = 5 feet.

The formula for a triangle's area is:

[tex]A_T=\frac{1}{2} bh[/tex]

Substitute:

[tex]A_T=\frac{1}{2} 5*6\\A_T=\frac{1}{2} 30\\A_T=15 ft^2[/tex]

Formula for calculating a rectangle's area:

[tex]A_R=lw[/tex]

Substitute:

[tex]A_R=5*4\\A_R=20 ft^2[/tex]

The formula for a square's area is as follows:

[tex]A_s=a^2[/tex]

Substitute:

[tex]A=s=5^2\\A_s=25 ft^2[/tex]

The composite solid's surface area is:

[tex]SA=4A_T+4A_R+A_s[/tex]

Substitute:

[tex]SA=4*15+4*20+25\\SA= 60+80+25\\SA=165 ft^2[/tex]

The composite solid has a surface area of 165 [tex]feet^2[/tex].

To learn more about surface area, refer:-

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Rose uses 8.3 pints of white paint and blue paint to paint her bedroom walls. 3 4 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls?

Answers

Answer: Rose used 2.075 pints of blue paint for her bedroom walls

Step-by-step explanation:

Amount of white and blue paint used for bedroom walls=8.3 pints

Amount of white paint used =3/4 x8.3 pints =6.225 pints

Amount of blue paint used = Amount of white and blue paint used for bedroom walls-Amount of white paint used

8.3 pints - 6.225 pints=2.075 pints

Round each weight to the nearest ounce

Answers

Answer:

1

4

4

2

Step-by-step explanation:

well 1.35 so when you round if its 50 you would round up and if its any lower you round down.

Find the length of the arc. Use exact answer

Answers

Answer:

solution in attachment

hope it helps

A weight of 270 pounds falls

Answers

Answer:

240

Step-by-step explanation:

Answer:

240

Step-by-step explanation:

(15 POINTS AHH) Which of the following square roots is irrational?

Answers

Answer:

Triangle

Step-by-step explanation:

The square root of 99 is irrational.

Answer:

the triangle square root of 99

Step-by-step explanation:

Someone answer this please

Answers

Answer:

x=41/2

Is the answer when y=9

How much time is between 2:30 pm and 4:15pm?? I need an answer quick!!

Answers

Answer:

Step-by-step explanation:

First do 4 -2 to get 2. Then do 30-15 to get 15. It’s 2:15.

You can also do this on a calculator by doing 4.15-2.30. You get 1.85

Remember that time is only up to 60 So you have to subtract 15 from 85 to get 60. So it’s 2 hours and 15 minutes. Hope this helps!

A guitarist sets a goal to practice 200 minutes each week. If he only is going to practice 5 days during the week, which of the following amounts of average daily practice will allow him to reach his goal? Check all that is true.

15minutes, 25minutes, 30minutes, 45minutes, 60minutes

Answers

Answer:

45 minutes

Step-by-step explanation:

this is an over-estimate and the reason is 200/5=40 the closest one is actually 45 minutes

Find measure of angle WZY.

Answers

Answer:

the answer is 4

Step-by-step explanation:

8x-1=5x+11

3x=12

x=4

I NEED HELP I NEED HELP I NEED HELP I NEED HELP I NEED HELP I NEED HELP I NEED HELP I NEED HELPI NEED HELP I NEED HELP I NEED HELP I NEED HELP I NEED HELP I NEED HELP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

13 quarts

Step-by-step explanation:

Remember this:

1 mug = 16 oz

1 quart = 32 oz

Find total quarts of coffee.

Setup proportion and solve for x ounces:

[tex]\frac{1 mug}{16 oz} =\frac{26 mugs}{xoz}\\\\x oz=16(26)=416 oz[/tex]

Setup another proportion to solve for x quarts and also use the 416 oz.

[tex]\frac{32oz}{1 qt} =\frac{416oz}{xqt} \\x=\frac{416}{32} = 13 qt[/tex]

.b) In a exam, Biraj got 350 marks and failed by 20 marks lf the percentageof pass marks is 40%, what is the full marks​

Answers

Answer:

925 full marks

Step-by-step explanation:

350 + 20 = 370 marks required to pass

370 / 0.40 = 925 full marks

Gilberto invests $10,000 in a savings account that pays 4.75% simple interest. If Gilberto
makes no withdrawals or deposits to the account, how much will be in the account after 7
years?
A. $3,325
B. $13,325
C. $13,838.16
D. $13,000

Answers

Answer: B. $13,325

:)

12. What property of multiplication is illustrated in 9 x 7=7 x 9?

Answers

Answer:

Commutative property

Step-by-step explanation:

Answer: Commutative property
9x7 is the same as 7x9 because you get the same answer but the questions are just switched.

Select the correct answer.
What is the corresponding point on the unit circle for the given radian measure?
0 = 7pi/6

Answers

Answer:

Answer is B: (-sqrt(3/2 , -1/2)

Step-by-step explanation:

First convert radians to degrees

theta = (7pi/6)*(180/pi)

=210 degrees

Cos(210 degrees)= -sqrt3/2

Thats the x coordinate

sin(210 degrees)= -1/2

thats the y coordinate

Answer:

The corresponding point on the unit circle for the radian measure is [tex](\frac{\sqrt{3} }{2},\frac{1}{2})[/tex]

Step-by-step explanation:

What is unit circle?

A unit circle is typically drawn around the origin (0,0) of a X,Y axes with a radius of 1.

What is radian measure?

One radian is the measure of a central angle that intercepts an arc s equal in length to the radius r of the circle.

The radian measure is,

α=[tex]\frac{7\pi }{8}[/tex]

Changing to degree measure,

[tex]\frac{7\pi }{6} *\frac{180}{\pi } \\=210^{o}[/tex]

The measure on the unit circle is,

(cos [tex]\alpha[/tex] , sin [tex]\alpha[/tex])=(cos 210 , sin 210)

                    =[tex](\frac{\sqrt{3} }{2},\frac{1}{2})[/tex]

Option A.

To know more about unit circle, radian measure here

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1)4/9 ÷ 2/3
2) 5/13 ÷ 7/6
3)13/15 ÷ 9/10
4) 5.2 x 8.5
5) 12.5 x 7.9
6) 0.3 x 11.2
7) 9 ÷ 4.5
8) 5.9 ÷ 0.54
9) 12.9 ÷ 46.5

Solve these question while showing your work.

Answers

1. 2/3. Flip 2/3 into 3/2 and then multiply and simplify.
2. 30/91. Flip 7/6 to 6/7 and then multiply. You cannot simplify the fraction.
3. 26/27. Flip 9/10 to 10/9 and then multiply. You cannot simplify the fraction.
4. 44.2. Multiply it as if there was no decimal. Then count the number of digits after the decimal in each factor. Then put the same number of digits behind the decimal in the product.
5. 98.75. Multiply it as if there was no decimal. Then count the number of digits after the decimal in each factor. Then put the same number of digits behind the decimal in the product.
6. 3.36. Multiply it as if there was no decimal. Then count the number of digits after the decimal in each factor. Then put the same number of digits behind the decimal in the product.
7. 2. Multiply the divisor by as many 10’s as necessary until you get a whole number. Remember to multiply the dividend by the same number of 10’s. Then divide it normally.
8. 10.93 (rounded). Multiply the divisor by as many 10’s as necessary until you get a whole number. Remember to multiply the dividend by the same number of 10’s. Then divide it normally. I rounded it to the hundredth.
Hope this helps!

please help me out thank you so much whoever does !!

Answers

Answer:

62°

Step-by-step explanation:

A right angle is 90 degrees, so we'd do 90 - 28 = 62

hope this helps!

The triangles below are similar.

Answers

Answer:

Step-by-step explanation:

Answer:

ΔFGH ~ ΔKLJ

Step-by-step explanation:

Determine the corresponding sides by the same opposite angles.

Opposite sides to 24° angle are FG and KL.

Correct expression is A:

ΔFGH ~ ΔKLJ

Which model represents 1/2 divided by 1/6?

Answers

Answer:

The answer I believe is :  D.

~  Hope this is correct, if I'm wrong I'm sorry, have a gr8 day/ night my friend!~

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Write an equation in slope-intercept form for the line with slope -4 and y-intercept 8

Answers

The slope (m) is -4 , and the y-intercept (b) is 8. Slope intercept form is y = mx+b

Y=-4x+8

help please on this question

Answers

Answer:

i think A tell me if it is wrong pls

Step-by-step explanation:

The answer would be B

The ratio of boys to girls in a volleyball club was 6: 8. There were 36 boys.

How many girls were there in the club?

Answers

Answer:

Might be wrong but 27. Hope this helps

Answer:

48 girls!

Step-by-step explanation:

boys = 6x

girls = 8x

6x = 36

x = 36/6 = 6

girls = 8x = 8 x 6 =  48

I hope im right!

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