Plss help!!! (answer A and B individually!)
Consider the trinomial, x² - 9x + 14

a) is x+7 a factor of the trinomial? explain your reasoning

b) write the factored form of the trinomial

Answer:

The answer is c: the lendth of the photo frame is between 11 and 12 inches.

I hope this helps you!

Answer:

the sum of the digits of the smallest number 668 = 6+6+8 = 20

Step-by-step explanation:

3 consecutive even number: x, x+2, x+4

4x + 2*(x+4) = 3*(x+2) + 2006

6x + 8 = 3x + 6 + 2006 = 3x + 2012

6x - 3x = 2012 - 8 = 2004

3x = 2004

x = 668

the sum of the digits of the smallest number = 6+6+8 = 20

Answer:

Step-by-step explanation:

Every triangles are congruent

according to Pythagoras theorem

a²+b²=c²

3²+b²=4²

b²=4²-3²

b=√4²-3²

b=√16-9

b=√7

Answer:

-4 Because two sides have to be the same because it is congruent.

-The pythagorean theorem is used for right triangles. "c" = the hypotenuse, this is the longest side of the triangle and is always opposite the 90 degree angle.

-

Step-by-step explanation:

Answer:

Step-by-step explanation:

The formula for Pythagorean theorem is [ a² + b² = c² ]. We are already given "a" and "c" for both problems, so, solve the theorem for b.

Question 1:

5² + b² = 12²

25 + b² = 144

b² = 119

√b = √119

b ≈ 10.9ft

Question 2:

6² + b² = 15²

36 + b² = 225

b² = 189

√b = √189

b = 13.7ft

Best of Luck!

Answer:

[tex]2x^2-12x[/tex]

Step-by-step explanation:

Given data

We are given the expression

2x(x - 6)

we can re-write it as

=2x*(x - 6)

let us open the bracket

=[tex]2x^2-12x[/tex]

Hence the simplified form is

[tex]2x^2-12x[/tex]

9514 1404 393

Answer:

  use a spreadsheet or graphing calculator

Step-by-step explanation:

First of all, you need to understand what it is you're graphing.

The given expressions are nonsense, as it is quite clear, for example, that 0=200 is a false statement.

Perhaps you're intending to graph ordered pairs, such as (0, 200) or (2, 241.1208).

You can enter these numbers with their 7-significant-figure precision into your calculator or spreadsheet, but nobody will be able to read more than about 3 (at most, 4) significant digits from any resulting graph.

Graphed as ordered pairs of the sort shown above, the graph will look something like the one attached.

Answer:

64

Step-by-step explanation:

Answer: 6,924‬ votes

Step-by-step explanation:

The ratio of yes to no votes was 7 to 5.

This means that for every 7 yes votes, there were 5 no votes.

If there were 2,885 nos, the number of yeses can be gotten using direct proportion:

7 : 5

x : 2,885

Cross multiplying would give:

5x = ‭20,195‬

x = 20,195/5

x = ‭4,039‬ yes

Total votes would be:

= ‭4,039‬ + 2,885

= ‭6,924‬ votes

Answer:

$140

Step-by-step explanation:

Ryan put $160 in a bank account. After 2 months, the total in his account decreased by 25%.

Step 1

We calculate the Decrease

Original amount × Percentage Decrease

Original amount = $160

Percentage Decrease = 25%

Hence:

Decrease = $160 × 25%

= $40

Step 2

The amount in Ryan's account now is calculated as:

$160 - $40

= $140

Answer:

11

Step-by-step explanation:

[tex]c=\sqrt{a^{2} + b^{2} } \\14 = \sqrt{9^{2}+ b^{2} } \\14 = \sqrt{81 + b^{2} } \\14^{2} = 81+b^{2} \\196 = 81 + b^{2} \\81 + b^{2} = 196\\b^{2} = 196-81\\b^{2} = 115\\b = \sqrt{115} \\b = 10.72\\b = 11[/tex]

Answer:

4(5 + 16)

Step-by-step explanation:

Given:

A figure is dilated by a factor of [tex]\dfrac{5}{6}[/tex].

To find:

The factor by which the area of the figure will change.

Solution:

We know that, if a figure is dilated by a factor k then the area of that figure is change by a factor of k² .

A figure is dilated by a factor of [tex]\dfrac{5}{6}[/tex].

So, [tex]k=\dfrac{5}{6}[/tex].

The area of the figure will change by a factor of k² .

[tex]k^2=\left(\dfrac{5}{6}\right)^2[/tex].

[tex]k^2=\dfrac{5^2}{6^2}[/tex]

[tex]k^2=\dfrac{25}{36}[/tex]

Therefore, the area of the figure will change by the factor of [tex]\dfrac{25}{36}[/tex].

Answer:

15/2 I think

Step-by-step explanation:

Answer:

The 2nd one -2(x+5)=2x-10

Step-by-step explanation:

Answer:

The line of the equation in the point-slope form of the line passing through the point (3, -1) and having slope 1/2 will be:

[tex]y +1 = \frac{1}{2} (x-3)[/tex]

Please check the attached graph.

Step-by-step explanation:

Given

Point slope form:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where

In our case:

m = 1/2

The point (x₁, y₁) = (3, -1)

substituting the values m = 1/2 and the point  (x₁, y₁) = (3, -1)  in the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y - (-1) = \frac{1}{2} (x-3)[/tex]

[tex]y +1 = \frac{1}{2} (x-3)[/tex]

Thus, the line of the equation in the point-slope form of the line passing through the point (3, -1) and having slope 1/2 will be:

[tex]y +1 = \frac{1}{2} (x-3)[/tex]

Please check the attached graph.

Answer:

2<5

Step-by-step explanation:

there u go hope it helps

Answer:

A,C,D

Step-by-step explanation:

only b equels an integer :)

Answer:

A.

C.

D.

Step-by-step explanation:

Answer:

Side c = 10.35

Angle A = 50.87°

Angle B = 94.13°

Step-by-step explanation:

The Law of Cosines states that:

a² = b² + c² - 2bcCos A

We are to to find side c, Angle A and B

side a = 14

sides b = 18

Angle C = 35°

1) Side c

= c² = a² + b² - 2abCos C

c² = 14² + 18² - 2 × 14 × 18 Cos 35

c = √(14² + 18² - 2 × 14 × 18 Cos 35)

c = 10.3512

Approximately = 10.35

2) Angle A

Cos A = b² + c² - a²/2bc

A = arc cos (b² + c² - a²/2bc)

A = arc cos (18² + 10.35² - 14²/2 × 18 × 10.35)

A = 50.8737°

A = Approximately = 50.87°

3) Angle B

Cos B = a² + c² - b²/2ac

B = arc cos (a² + c² - b²/2ac)

B = arc cos (14² + 10.35² - 18²/2 × 14× 10.35)

A = 94.13123°

A = Approximately = 94.13°

Answer:

9882345=9.882345 X [tex]10^{6}[/tex]

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Hard to explain in writing

Answer:

To check if a relation is a function, given a mapping diagram of the relation, use the following criterion: If each input has only one line connected to it, then the outputs are a function of the inputs.

Answer:

1

9 +7= 7+9

2

10 +2 =10 +2

Step-by-step explanation:

Hope this helps

Answer:

All are Yes ^^^

Step-by-step explanation:

Got it right

Answer:

1) 14 dimes

2) 5 quarters 3 nickels

3) 140 pennies

4) 28 nickels

5) 4 quarters 4 dimes

6) 10 dimes 4 nickels

Step-by-step explanation:

140% = $1.40