Solve each quadratic equation by completing the square.
6x2 – 28x = - 16

Answer:

11/25

Step-by-step explanation:

Answer:

5555665555555555555

Answer:

[tex](\frac{9}{2},-\frac{1}{2} )[/tex]

Step-by-step explanation:

Use the midpoint formula to find the midpoint of the line segment.

Answer:

x > 3

Step-by-step explanation:

degree

The largest exponent in the polynomial is called the degree, and the coefficient of the variable raised to that exponent is called the leading coefficient. The constant in a polynomial has no variable written next to it.

Answer:

x = 15

Step-by-step explanation:

I used the pythagorean theorem on BAC triangle

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)

The length of BC is 15 units.

In the right triangle ABC.

we have AC = 8 units and AB = 17 units.

We need to find the length of BC using the Pythagorean theorem.

It states that in a right-angled triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In the given right-angle triangle ABC.

We have,

AB = hypotenuse and the other two sides are AC and BC.

Applying the Pythagorean theorem.

We get,

[tex]AB^{2} = AC^2 +BC^2[/tex]

Now substitute AC = 8 and AB = 17.

[tex]17^2=8^2+BC^2\\289=64+BC^2\\BC^2=289-64\\BC^2=225\\BC=\sqrt{225}\\ BC=15 ~units.[/tex]

Thus, we have the length of BC as 15 units.

Learn more about finding length in a right-angle triangle here:

https://brainly.com/question/13515866

#SPJ2

Answer:

2 mL³

Step-by-step explanation:

Use the density formula, D = m/v, where m is the mass and v is volume.

Plug in the mass and density, then solve for the volume:

D = m/v

6.2 = 12.4/v

6.2v = 12.4

v = 2

So, the volume is 2 mL³

Answer:

pascal

Step-by-step explanation:

the unit of pressure is pascal or you can divde pounds and square inches in there units

Answer:

sor

Step-by-step explanation:

Answer:

(x-5)(x-6)

Step-by-step explanation:

when we look at something like this we have a, b, and c

a=1 (in front of x)

b=-11

c=30

our goal is trying to find factors of c that will give us b so in this case factors of 30 that will give us -11

so when you list all the factors of 30 you find that 6 and 5 both equal 30 when multiplied and add up to 11

but... we need -11 so if we change the signs both to negative that will give us a -11 when added and also a positive 30 when multiplied (-6)(-5)

so we then write it as (x-6)(x-5)

and if you FOIL that out you will end up getting the original equation :)

hope this helps!

Answer:

18

Step-by-step explanation:

PEMDAS (order of operation)

4 dived by 2 is 2

2times 5 is 10

10+8 is 18

Answer:

2

Step-by-step explanation:

3−2(x+1)=2x−7

3+(−2)(x)+(−2)(1)=2x+−7(Distribute)

3+−2x+−2=2x+−7

(−2x)+(3+−2)=2x−7(Combine Like Terms)

−2x+1=2x−7

−2x+1=2x−7

Step 2: Subtract 2x from both sides.

−2x+1−2x=2x−7−2x

−4x+1=−7

Step 3: Subtract 1 from both sides.

−4x+1−1=−7−1

−4x=−8

Step 4: Divide both sides by -4.

−4x−4=−8−4

x=2

Answer:

A

Step-by-step explanation:

when you substitute 4 in x and 3 in y, your result are 11 no 10

Answer: x=−4

If I Helped, Please Mark Me As Brainliest, Have A Great Day :D

Answer:

The equation in a point-slope form that  represents their distance from

home, y miles, after x hours, is y - 110 = 55(x - 2)

Step-by-step explanation:

The point-slope form of the linear equation is

[tex]y-y_{1}=m(x-x_{1})[/tex] , where

m is the slope of the line (average)

[tex](x_{1},y_{1})[/tex] is a point on the line

→ The family is driving home  from vacation at an average speed

    of 55 miles per hour

∴ m = 55

→ After 2 hours they  are 110 miles from home

∵ x is the number of hours

∵ y is the distance in miles after x hours

∴ [tex]x_{1}[/tex] = 2

∴ [tex]y_{1}[/tex] = 110

→ Substitute these values in the form of the equation above

∴ y - 110 = 55(x - 2)

The equation in a point-slope form that  represents their distance from

home, y miles, after x hours is y - 110 = 55(x - 2)

Answer:

10/10 - 7/10 = 3/10

Step-by-step explanation:

Muffins made = 12

Burnt muffins = 2

Good muffins = 12 - 2 = 10

Franco served 7/10 of the remaining muffins

Muffins served = 7/10 × 10

= 7

Muffins unserved = 10 - 7 = 3

Fraction of the non burned muffins remaining = non burned muffins - served muffins

= 10/10 - 7/10

= 3/10

The answer is B

Step-by-step explanation:

#4: 156-120= 36

36÷4=9

Answer: B; 9 people per year

Step-by-step explanation:

#5: 84-60=24

24÷4=6

Answer: C; 6 degrees Fahrenheir per hour

Answer:

the answer is  5/8, 65%, 2/3, 0.7

Step-by-step explanation:

Answer:

4910.8672217

Step-by-step explanation:

I dont have a step by step, i am so sorry

Answer:

4910.8672217

Step-by-step explanation:

Answer: C) 25%

Step-by-step explanation:

Answer:

M1= 62 M2= 45 M3= 24

Step-by-step explanation:

For angle 1:

180-118 = 62

Angle 2:

180- (73+62)

Angle 3:

part 1

180-73= 107

part 2

180-(107+49)= 24

Answer:

Step-by-step explanation:

You have to solve for 1 before you do anything.

<1 + 118 = 180                The two left angles are supplementary

<1 +118-118=180-118

<1 = 62

Now you can go after angle 2

<1 + 73 + <2  =  180         All triangles have 180 degrees

62 + 73 + <2 = 180         Combine the left

135 + <2 = 180                Subtract 135 from both sides.

135-135+<2 = 180-135     Combine

<2 = 45

Angle 3 is a little trickier because the angle you need to find <3 is not labeled.

73 + x = 180

x = 180 - 73

x = 107

NOw you can find <3

107 + 49 + <3 = 180

156 + <3 = 180

<3 = 180 - 156

<3 = 24

I have left out the reasons for <3. Maybe you can supply them.

let's solve your equation step-by - step

-3-3/4(c-4)=5/4

Step 1: simplify both sides of the equation.

-3-3/4(c-4)=5/4

-3+-3/4 c+3=5/4 (distribute)

(-3/4 c)+(-3+3)=5/4 (combine like terms)

-3/4c=5/4

-3/4 c =5/4

Step 2: Multiply both sides by 4/(-3)

(4/-3)*(-3/4 c)=(4/-3)*(5/4)

Answer:c=-5/3

Answer:

[tex]-\frac{5}{3}[/tex]

Step-by-step explanation:

Hi there !

[tex]-3-\frac{3}{4}(c-4)=\frac{5}{4}\\ \\-3-\frac{3c}{4}+3=\frac{5}{4}\\ \\-\frac{3c}{4}=\frac{5}{4}\\ \\-3c=5\\\\3c=-5\\\\c=-\frac{5}{3}[/tex]

Good luck !

Answer:

22.5

Step-by-step explanation:

:)

Answer:

23.4m

Step-by-step explanation:

1 hour = 60 min

2.5 hours = 180 min

180 ÷ 10 =18

18 × 1.3 = 23.4

Answer:

The y intercept is (0,-3) The slope is 7/1 i think  

Answer:

C. 1/4

Step-by-step explanation:

up 1, right 4