2x+2y=10
x=1
solve by substitution

Answer:

(1,-9)

Step-by-step explanation:

Answer:

vertex = (1, - 9 )

Step-by-step explanation:

The vertex is located on the axis of symmetry

The axis of symmetry is at the midpoint of the zeros

Find the zeros by letting y = 0, that is

(x - 4)(x + 2) = 0

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 4 = 0 ⇒ x = 4

Then equation of axis of symmetry/ x- coordinate of vertex is

x = [tex]\frac{-2+4}{2}[/tex] = [tex]\frac{2}{2}[/tex] = 1

Substitute x = 1 into the equation for corresponding value of y

y = (1 - 4)(1 + 2) = (- 3)(3) = - 9

vertex = (1. - 9 )

Step-by-step explanation:

x^2 + 10x = -25

x^2 + 10x + 25 = 0

（x+5)^2=0

x=－5

Answer:

The Current Insurance cost = $685.43

Step-by-step explanation:

Given that Dan pays £714.73 a year on his car insurance.

Reduced Percentage = 4.1%

so

Reduced Amount =  4.1% × 714.73

                             = [4.1 / 100] × [714.73]

                             = 0.041 × 714.73

                             = $29.30

The current cost can be calculated by subtracting the reduced amount of 29.30 from 714.73.

so

Current Insurance cost = 714.73 - 29.30

                                       = $685.43

Therefore, the Current Insurance cost = $685.43

Answer:

A) - 7

slope -intercept form       y =  - 3x - 7

slope m =-3 and y - intercept c = -7

Step-by-step explanation:

Explanation:-

Given that slope 'm' = -3 and point (0,-7)

The equation of the straight line passing through the point and having slope 'm'

y - y₁ = m ( x- x₁)

The equation of the straight line passing through the point ( 0,-7) and slope m = -3

y - (-7) = -3 ( x -0)

y +7 = -3x

3x +y + 7=0

The equation of the line 3x +y + 7=0

Final answer:-                                        

slope -intercept form      y =  - 3x - 7

slope m =-3 and y - intercept c = -7

Answer:

y = 7, x = 7

Step-by-step explanation:

11y + 13 = 90

11y = (90 - 13)

11y = 77

y = 7

2x + 6 = 20 (because 20 is half of 40)

2x = (20 - 6)

2x = 14

x=7

Answer:

If you were to multiply the percentages by the numberws your using to the AB formula you can get the answer 252 B

Step-by-step explanation:

Answer:

8.9-1.4x + (-6.5x) + 3.4x

8.9-1.4x - 6.5x +3.4x

      -1.4x - 6.5x  = -7.9x

         -7.9x+ 3.4x=-4.5x

Answer 8.9 -4.5x

Step-by-step explanation: Hope This Helps !!!

First you are going to remove the parentheses then COMBINE LIKE TERMS

Lastly you just put your equation together .

Answer:

(4,5)

Step-by-step explanation:

Let's solve your system by substitution.

2y=x+6;3x=y+7

Step: Solve2y=x+6for x:

2y=x+6

2y+−x=x+6+−x(Add -x to both sides)

−x+2y=6

−x+2y+−2y=6+−2y(Add -2y to both sides)

−x=−2y+6

−x

−1

=

−2y+6

−1

(Divide both sides by -1)

x=2y−6

Step: Substitute2y−6forxin3x=y+7:

3x=y+7

3(2y−6)=y+7

6y−18=y+7(Simplify both sides of the equation)

6y−18+−y=y+7+−y(Add -y to both sides)

5y−18=7

5y−18+18=7+18(Add 18 to both sides)

5y=25

5y

5

=

25

5

(Divide both sides by 5)

y=5

Step: Substitute 5 for y in x=2y−6:

x=2y−6

x=(2)(5)−6

x=4(Simplify both sides of the equation)

Answer:

its 882

Step-by-step explanation:

Answer:

24 sq cm

Step-by-step explanation:

20 sq cm + 4 sq cm = 24 sq cm

Answer:

Never

Step-by-step explanation:

If the slope is the same and the y-intercept is the same

They are the same line

2x + 5 = y is the same as 2x +5 = y

Answer:

Never

If the slope is the same and the y-intercept is the same

Answer:

7x14=98

Step-by-step explanation:

formula for rectangule area= b.x so 7x(7x2)= 7x14=98

Answer:

C:S--------> 3:5

1520/5=304

3 x 304= 912

912+1520=2432

1520/2432 x 100

Ans = 62.5% seats occupied

Answer:

C:S--------> 3:5

1520/5=304

3 x 304= 912

912+1520=2432

1520/2432 x 100  

Ans = 62.5% seats occupied

Answer: Pigeonhole Principle

Step-by-step explanation:

The Pigeonhole Principle espouses that if there are more objects than the places the objects are supposed to fit into, some of those places will have more than one object. For instance, if there are 20 pigeons and only 19 pigeonholes, one pigeonhole will have more than one pigeon.

If one hundred people in your neighbourhood leave between 7:30 and 8:00 A.M. and arrive 30 minutes later that means they will arrive between 8:00 and 8:30 A.M. This means that 100 people will have to arrive in 30 minutes.

We would have to fit 100 people in 30 minutes. The minutes are the pigeonholes and the people are the pigeons. There will therefore be a situation where at least 2 people will arrive at the same minute because there are many more people than minutes for them to arrive in.

Answer:

13-4y

Step-by-step explanation:

Without a second equation it is impossible to give a numerical value for x, but x can be expressed in terms of y.

This equation is called a "literal equation" since there are more than one variable, but only one equation (it is not a system of equations).

Therefore, solve for x by subtracting 4y from both sides:

x+4y=13

-4y      -4y

x=13-4y

Answer:

Hi! The correct answer is x=13-4y!

Step-by-step explanation:

~Subtract 4y from both sides of the equation~

We must to remember what is the standard form of equation of straight line. It looks like that:

Ax+By+C=0.  A,B and C it's coefcients; x and y - it's variables.A and B must not be equal to zero at same time.This condition can be writen like this: (A^2+B^2) not equal to zero.

We know that x=2 ("after two hours") and y=15 ("velocity of the cyclist is 15 km/h")

AND

x=5 ("after five hours") and y=12 ("velocity of the cyclist is 12 km/h").

Lets look at standart form and give the values on variables.1. 2A+15B+C=0

2. 5A+12B+C=0and it is system.let's subtract the bottom equation from the top  -3A+3B=03A=3BA=B.So we can choose any value for A and B, just A=B.I choose for A=B=1.Our equation takes the formx+y+C=0

x+y=-C

and if we giving the value to variables, we can find coefficients "C".

5+12=-CC=-17.

Standart form is:x+y-17=0. ---- answer for Part A.

and the graph of this function is a straight line.For find the answer to Part B, we need to prolong our straight line into the perpendicular vertical line wich contain x=12.

In the point of the intersection of the lines, you must to turn at right angle to axis OY and to come at the value in the axis OY, it's will be the velocity after 12 hours

Answer:

What questions do you need help on? All of them? Cuz I’m willing to do some

Step-by-step explanation:

Answer:

162.5

Step-by-step explanation:

Hope this helps Please brainiest

Answer:

Ok the answer is 162.5 but if you wanna learn how to do it, look at the explanation! :D

Step-by-step explanation:

To make it easy, you can split the 12.5 into 10 and 2.5, now that you have done that, multiplication is made easy! Multiply the 10 by 13 which gets you 130. Then, multiply the 2.5 by 13 to get 32.5, now add 130 and 32.5 together to get your answer, which in this case is 162.5! Hope this helped and I hope you have a magnificent day! :D

Answer:

The options to complete the proof are placed in the boxes of the attached drawing created with Microsoft Word

Step-by-step explanation:

Please see attached drawing of the proof created with Microsoft Word

The two column proof can be  presented as follows;

Statement     [tex]{}[/tex]                                    Reason

 [tex]\underset{m}{\leftrightarrow } \parallel \underset{n}{\leftrightarrow }[/tex]        [tex]{}[/tex]                                        Given

m∠3 + m∠4 = 180°   [tex]{}[/tex]                         Linear pair postulate

∠1 ≅ ∠3     [tex]{}[/tex]                                        Corresponding Angle Theorem

m∠1 + m∠4 = 180°   [tex]{}[/tex]                          Transitive Property      

m∠1 and m∠4 are supplementary  [tex]{}[/tex] Definition of supplementary angles

Answer:

x= 19

If you need help with more, I'm more than happy to help you.

Answer:

The dog is 20 inches tall now.

Step-by-step explanation:

Given that:

Height of dog when it was a puppy = [tex]5\frac{1}{2}[/tex] inches

Height of dos now = [tex]14\frac{1}{2}[/tex] than previous height

It means that we will add this height in the height of dog when it was a puppy.

Height of dog now = [tex]5\frac{1}{2}+14\frac{1}{2}[/tex]

Height of dog = [tex]\frac{11}{2}+\frac{29}{2}=\frac{11+29}{2}=\frac{40}{2}[/tex]

Height of dog = 20 inches

Hence,

The dog is 20 inches tall now.

Answer:

3*f-7

Step-by-step explanation:

OK; "subtract from" means to do the "from" first and then subtract the number off of the "from." In this case, the "from" is 3*f. Then, subtrat seven. That gives you 3*f-7. No need for parenthesis because of PEMDAS.

Answer:

4 or -625x^4 (Just in case I misunderstood)

Step-by-step explanation:

The degree is always the power of something. Since -5x has a power of 4, its degree is 4.

Just in case I misunderstood the question, I will solve it another way that I think you meant. (-5x)^4 is -5^4 times x^4.

-625 times x^4 is -625x^4.

Answer:

2x^2+12x

Step-by-step explanation:

Answer:

Hi! I hope this is correct please inform me if this is incorrect :)

a = 1 will have.

2a + 3 < 9 - 3a.  

2a + 3 > 10 -3a.  

3a - 2a + 1>2.

a = 2 will have

ANY others I did not include in a = 1 :)

Please once again tell me if this is incorrect.

Step-by-step explanation:

Inequality (1), (4) and (7) are true for a=1 and inequality (2), (3) and (5) are true for a=2.

We need to determine which inequalities are true for a=1 and a=2.

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Now, put a=1 inequalities and check.

1) 2(1) + 3 < 9 - 3(1)⇒5<6

2) 14 + 5(1) < 12(1) + 1⇒19>13

3) 2(1) + 3 > 10 - 3(1)⇒5<7

4)  4 + 3(1) +8 < 16⇒15<16

5) 3(1)- 2(1)+1>2⇒2=2

6) 5(1)- 4(1)+ 6 < 8⇒7<8

So, inequality (1), (4) and (7) are true for a=1.

1) 2(2) + 3 < 9 - 3(2)⇒7>6

2) 14 + 5(2) < 12(2) + 1⇒24<25

3) 2(2) + 3 > 10 - 3(2)⇒7>4

4)  4 + 3(2) +8 < 16⇒18>16

5) 3(2)- 2(2)+1>2⇒3>2

6) 5(2)- 4(2)+ 6 < 8⇒8=8

So, inequality (2), (3) and (5) are true for a=2.

Therefore, inequality (1), (4) and (7) are true for a=1 and inequality (2), (3) and (5) are true for a=2.

To learn more about inequality visit:

https://brainly.com/question/20383699.

#SPJ2