All categories

2 years ago

X^2 + bx + 49 is a perfect squad trinomial what is one possible value of b? & I need help with the others also due soon!

Mathematics

1 answer:

Svetlanka [38]2 years ago

6 0

20. (2) 14

A perfect square trinomial will factor into two expressions that are the same, for example: x^2 + 6x + 9 = (x + 3)(x + 3). Since this problem has a C value of 49, it will factor into (x + 7)(x + 7). 7 doubled is 14, therefore one possible value of B is 7.

21. (4) 2, -12

x^2 + 10x + 25 = 24 + 25

(x + 5)^2 = 49

x + 5 = +/- 7

x = 2, -12

22. (3) 3 + sqrt(17)

x^2 - 6x = 8

Complete the Square

x^2 - 6x + 9 = 8 + 9

(x - 3)^2 = 17

x - 3 = +/- sqrt(17)

x = 3 + sqrt(17), 3 - sqrt(17)

23. (1) 1, -5

x^2 + 4x - 5 = 0

x^2 + 4x = 5

x^2 + 4x + 4 = 5 + 4

(x + 2)^2 = 9

x + 2 = +/- 3

x = 1, -5

Hope this helps!

You might be interested in

If the pattern continues how many cups of milk does George need to make 6 batches of muffins

alexdok [17]

Answer:

see explanation

Step-by-step explanation:

If we consider the differences between consecutive terms, that is

$\frac{3}{4}$ - $\frac{3}{8}$ = $\frac{3}{8}$

1 $\frac{1}{8}$ - $\frac{3}{4}$ = $\frac{3}{8}$

1 $\frac{1}{2}$ - 1 $\frac{1}{8}$ = $\frac{3}{8}$

To obtain the next term in the pattern add $\frac{3}{8}$ to the previous term.

batches = 5 ⇒ milk = 1 $\frac{1}{2}$ + $\frac{3}{8}$ = 1 $\frac{7}{8}$

batches = 6 ⇒ milk = 1 $\frac{7}{8}$ + $\frac{3}{8}$ = 2 $\frac{1}{4}$

6 0

2 years ago

Look at the three dimensional solid below

Sever21 [200]

Answer:

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Use ΔABC below to answer the question that follows:

Elza [17]

Answer:

Step-by-step explanation:

To prove Δ ABC similar to ΔDBE we can consider

Segments AC and DE are parallel.

⇒ DE intersects AB and BC in same ratio.

AB is a transversal line passing AC and DE.

⇒∠BAC=∠BDE [corresponding angles]

Angle B is congruent to itself due to the reflexive property.

All of them are telling a relation of parts of ΔABC to ΔDBE.

The only option which is not used to prove that ΔABC is similar to ΔDBE is the first option ,"The sum of angles A and B are supplementary to angle C".

4 0

2 years ago

Read 2 more answers

The elevation of a city is 2633 feet above sea level.

Free_Kalibri [48]

Answer:

+2633 ft

Step-by-step explanation:

The city is above sea level meaning it is a positive number.

5 0

2 years ago

Drag the slider to 2 inches. How many centimeters are in 2 inches? There are centimeters in 2 inches.