Complete the square.
x2 + 14x +

Answer:

7.142857142857143

Step-by-step explanation:

500/70*10=answer above.

ratio of 500 km to 100 km is 5 : 1

Answer:

1) y=4/5x-8

3) y=7/5x -2

Step-by-step explanation:

Slope- intercept form is y=mx+b (y = (slope)x+ (y-intercept))

I hope this helps :)

Answer:

B) -1/2

Step-by-step explanation:

Slope is change in y divided by change in x.

So, 6-4/-4-0 = 2/-4 so reduces to -1/2

Answer:

Slope = -4

Step-by-step explanation:

Slope = change in y ÷ Change in x

         [tex]= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\= \frac{0-4}{5-4}\\\\= \frac{-4}{1}\\\\= - 4[/tex]

Answer:

Step-by-step explanation:

The slope-intercept formula is:

y = m x + b,

or: y = b - m x, since the rate is negative.

For the 1st formula we have: y = 30 and x = 2

For the 2nd formula: y = 12 and x = 5 ( because: 5 = 2 + 3, or : 3 minutes later, which can be confusing  )

30 = b - 2 m

12 = b - 5 m

--------------------

b = 30 + 2 m

12 = 30 + 2 m - 5 m

3 m = 18

m = 18 : 3 = 6

b = 30 + 2 * 6 = 30 + 12 = 42

Answer:

y = 42 - 6 x

Answer:

B

Step-by-step explanation:

because i know and you have to trust me

Answer:

2 units. Hope this helps!

Answer:

We combine like terms to get [tex]10x^{2} + 3x - 6[/tex]

Hope this helps!

Answer:

92.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

ΔLMN = ΔOPR ----- (given)

NM / NL = RP / RO

19 / 34 = 60 / RO

RO = 60 × 34 ÷ 19

RO = 107.36

Answer:

75

Step-by-step explanation:

I'm not sure l am strugging with this topic too

Answer:

22cm²

Step-by-step explanation:

For the area of triangle,

base = 2 + 2 + 2 = 6cm

height = 4cm

Area = 1/2 x base x height

= 1/2 x 6 x 4

= 12cm²

For area of the rectangle,

length = 5cm

breadth = 2cm

Area = length x breadth

= 5 x 2

= 10cm²

Area of compound shape = 12 + 10 = 22 cm²

Answer:

67

Step-by-step explanation:

Number: AB

A = B-1

BA + AB = 143

10*B + A + 10*A + B = 143

11A + 11B = 143

A + B = 13

(B-1) + B = 13

2B = 14

B = 7

A = 6

The number is 67

check: 6 = 7-1   and   67 + 76 = 143

Answer:

26

Step-by-step explanation:

 decimal form 5.09901951

Answer:

[tex]EF=4\sqrt{3}[/tex]

Step-by-step explanation:

In rectangle ABCD, AB = 6, BC = 8, and DE = DF.

ΔDEF is one-fourth the area of rectangle ABCD.

We want to determine the length of EF.

First, we can find the area of the rectangle. Since the length AB and width BC measures 6 by 8, the area of the rectangle is:

[tex]A_{\text{rect}}=8(6)=48\text{ cm}^2[/tex]

The area of the triangle is 1/4 of this. Therefore:

[tex]\displaystyle A_{\text{tri}}=\frac{1}{4}(48)=12\text{ cm}^2[/tex]

The area of a triangle is half of its base times its height. The base and height of the triangle is DE and DF. Therefore:

[tex]\displaystyle 12=\frac{1}{2}(DE)(DF)[/tex]

Since DE = DF:

[tex]24=DF^2[/tex]

Thus:

[tex]DF=\sqrt{24}=\sqrt{4\cdot 6}=2\sqrt{6}=DE[/tex]

Since ABCD is a rectangle, ∠D is a right angle. Then by the Pythagorean Theorem:

[tex](DE)^2+(DF)^2=(EF)^2[/tex]

Therefore:

[tex](2\sqrt6)^2+(2\sqrt6)^2=EF^2[/tex]

Square:

[tex]24+24=EF^2[/tex]

Add:

[tex]EF^2=48[/tex]

And finally, we can take the square root of both sides:

[tex]EF=\sqrt{48}=\sqrt{16\cdot 3}=4\sqrt{3}[/tex]

Answer:

4\sqrt3

Step-by-step explanation:

we know that the area is 6 * 8 = 48 cm^2. because triangle DEF is one fourth of that, triangle DEF's area would be 12.

to find the hypotenuse of triangle DEF, we would first need to find the bases (which have equal lengths). 1/2 * b * b = 12, so b^2 = 24. using the pythagorean theorem, we have \sqrt24 + \sqrt24 = h^2 which means h is the sqrt of 48. simplified, we have 4\sqrt3.

Answer:

Step-by-step explanation:

so by "exact" they mean leave in the [tex]\sqrt{x}[/tex] parts.... sooo

they tell us the Hypotenuse  ( Hyp) and one  angle and want that side Opposite ( Opp)  of the angle... sooo use the mnemonic

SOH CAH TOA  

to help remember how the sin , cos, and tan functions fit on a triangle

there problems b/c easy A's when you get this.  :P so learn it, know it, live it  :D

Sin = Opp / Hyp

Cos = Adj / Hyp

Tan = Opp / Adj

now look at which one of the above formulas have the things we know and want to find

Sin looks like a good choice b/c it's got  Opp, which we want to find, and Hyp which we know and also an angle which we can plug into the function

Sin(45) = Opp / 6

see how I got that?

[tex]\sqrt{2}[/tex] / 2 = Opp / 6

6 ( [tex]\sqrt{2}[/tex] / 2 ) = Opp

3[tex]\sqrt{2}[/tex]  = Opp

the problem says leave it exact.. so don't try to reduce [tex]\sqrt{2}[/tex]  just leave it

there is  your answer

X  = 3[tex]\sqrt{2}[/tex]

Answer:

we know all angles are 90° in the rectangle

therefore, angle d = bdc+bda = 90

=> 31+bda = 90

=>angle bda= 59

The measurement of the angle ADB should be considered as the 59 degrees.

Since we know that all angles in the rectangle should be of 90 degrees

So,

Here angle d = bdc + bda

= 90

Now

31 + bda = 90

So, bda = 90 - 31

= 59

hence, The measurement of the angle ADB should be considered as the 59 degrees.

Learn more about rectangle here: https://brainly.com/question/1916433

Answer:

11'12

Step-by-step explanation:

so peter is 5'6, and his shadow is 3'3, which means that its subtracted by 2'3, therfore the flagpole is 11'12, hope this helps :)

Answer:

N=6

Step-by-step explanation:

Answer:

A = 20 + 2p

Step-by-step explanation:

Answer:

79, 007, 000

Step-by-step explanation:

79, 007, 000

Hope that helps!

Answer:

seventy-nine million seven thousand

Step-by-step explanation:

#WhenYouSideStepTheProblem

Answer:

-540

Step-by-step explanation:

5(25x+ 2x - 4)

5(27x - 4)

-540

Answer:

9/4 or 2 1/4 cups of sugar.

Step-by-step explanation:

To find the answer we multiply 3/4 by 3.  Because the bottom stays the same, we wont multiply it.  Since 3 x 3 = 9, it will be 9/4.  Therefore, 9/4 or 2 1/4 is your answer.

Answer:

10 -6 -544 32" 2 3 4 5 6 8 9 10 O y = -0.2(x + 3)2 – 4 Oy= -0.2(x – 3)2 - 4

Answer:

Given that is a 45-45 triangle, the hypotenuse should be x[tex]\sqrt{2}[/tex], so in this case. The hypotenuse should be 3[tex]\sqrt{2}[/tex], and the other side lengths 3. I see no other way of it going other than that one; I hope I helped at least a bit!

Step-by-step explanation:

Answer:

base =3in and hypotenuse =3√2

Step-by-step explanation:

relationship between perpendicular and hypotenuse is given by sin angle

sin 45=p/h

sin45=3in/h

h=3in/sin45=3√2 inch

relationship between perpendicular and base is given by tan angle

tan45=P/b

b=3in/tan45=3in

Answer:

Step-by-step explanation:

Volume of the prism:

Scaled volume is 60 - 70 in³

Find the scale factor k;

So the scale factor is

and the volume of the smaller prism is:

Answer:

Scale factor 1/19, volume 65.6 in³

Step-by-step explanation:

Volume of the prism:

V = abh

V = 300*50*30 = 450000 in³

Scaled volume is 60 - 70 in³

Find the scale factor k;

450000/60 = 7500

450000/70 = 6428

1/6428 < 1/k³ < 1/7500

1/∛6428 < 1/∛k³ < 1/∛7500

1/18.59 < 1/k < 1/19.57

1/k = 19 is best

So the scale factor is

k = 1/19

and the volume of the smaller prism is:

450000 / 19³ = 65.6 in³

Answer:

18π

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

.

Multiplication Property of Inequality because you are multiplying each side by 3. I hope this helps! :)