1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
timofeeve [1]
3 years ago
8

Meredith solved a quadratic equation. Her work is shown below.

Mathematics
1 answer:
Damm [24]3 years ago
3 0

Answer:

Step 2

Step-by-step explanation:

Meredith made a fatal mistake or error in step 2;

Any quadratic problem will always have two solutions. Therefore since, we only have one solution here, it is wrong. The mistake was incurred in step 2;

  From the given problem ;

    <u> Wrong                                                  right</u>

    2(x + 4)² = 242

    (x + 4)² = 121     Step 1  

     x+4=11              Step 2                  x + 4  = ± 11

     x  = 7                Step 3                  x + 4  = 11 or x + 4  = -11

                                                           x  = 11- 4     or    x  = -11 - 4

                                                           x  = 7 or -15

You might be interested in
William has ten colored game pieces in a box: 3 yellow pieces, 5 orange pieces, 1 green piece, and 1 red piece. What is the prob
Nutka1998 [239]

Answer:

.5

Step-by-step explanation:

.5

yellow= .30

orange= .50

green= .10

red- .10

6 0
3 years ago
Francesca has 63 cm of ribbon. She will cut it into two pieces so that the longer piece is 15 cm longer than the shorter piece.
Pie

Answer:

48

Step-by-step explanation:

63-15=48

6 0
3 years ago
Read 2 more answers
6. An ostrich cannot fly, but it is able to run fast. Suppose an ostrich runs east for 7.95 s and then runs 161 m south, so that
Liula [17]

Answer:

159 m

Step-by-step explanation:

From the information given:

It was stated that if the ostrich ran towards the east direction in 7.95 s, let say the distance from the starting point is O towards the east side E, let called the distance towards the east side to be OE.

Again, the ostrich then runs in the south direction for 161 m, let the distance be OS.

Also, let the magnitude of the resultant displacement between the east direction to the south direction be ES = 226m.

We are to find, the magnitude of the ostrich's eastward component.

i.e. The distance traveled from the center to the east direction within the time frame of 7.95 s.

Using the Pythagoras rule:

ES² = OE² + OS²

226² = OE² + 161²

226² -  161² = OE²

OE²  =  226² -  161²

OE²  = 51076 - 25921

OE²  =  51076 - 25921

OE²  =  25155

OE = \sqrt{25155}

OE =  158.60 m

OE ≅ 159 m

Thus, the magnitude of the ostrich's towards the eastward component. = 159 m.

4 0
3 years ago
Conveyor belts called grain elevators are used to move grain into a silo. Answer the following questions knowing that the lower
Natalka [10]

From the given information,

a. The length of the belt is 180.28 ft

b. The height of the window from the ground is 100 ft

c. The length of the ramp needed is 141.42 ft

<h3>What is the Pythagorean theorem's formula?</h3>

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two legs of the triangle. I.e., (hypotenuse)² = (opposite)² + (adjacent)²

<h3>Calculation:</h3>

It is given that,

The height of the silo is 150 feet

The distance from the belt to the silo is 100 feet

With the given measurements, a right-angled triangle is formed.

a. Finding the length of the belt:

From the diagram,

The height of the silo, sh = 150 ft

The base distance, sb = 100 ft

So, the length of the conveyor belt is the hypotenuse (bh) of the triangle formed.

On applying the Pythagorean theorem,

bh² = sb² + sh²

⇒ bh² = (100)² + (150)²

⇒ bh² = 32500

⇒ bh = √32500 = 50√13

∴ bh = 180.28 ft

Thus, the length of the belt is 180.28 ft.

b. Finding the height of the window from the ground:

It is given that the angle of elevation from the lower end of the belt(b) to a window(w) on the side of the silo is 45°.

This creates a special right-angled triangle. I.e.,

The angles of the new triangle are 90°- 45°. So, the third angle also becomes 45° (Since the sum of angles in a triangle is 180°)

So, the new triangle has angles of 90°- 45°- 45°

Thus, the new triangle is said to be an isosceles right angled triangle.

So, the two legs of the triangle are equal. I.e., sb = sw = 100 ft

Therefore, the height of the window from the ground(sw) is 100 ft

c. Finding the length of the ramp(bw) to the window:

Since we have

sw = 100 ft and sb = 100 ft

On applying Pythagora's theorem,

bw² = sb² + sw²

⇒ bw² = (100)² + (100)²

⇒ bw = √20000 = 141.42 ft

Therefore, the length of the ramp to the window is 141.42 ft.

Learn more about the Pythagorean theorem here:

brainly.com/question/343682

#SPJ1

3 0
2 years ago
What does 3ˣ + 4·3ˣ⁺¹ =<br> a. 13·3ˣ⁺¹<br> b. 5·3ˣ⁺¹<br> c. 5·3²ˣ⁺¹<br> d. 13·3ˣ
Crazy boy [7]

Answer:

D. 13*3^x

Step-by-step explanation:

3^x +4*3^x^+^1= \\3^x+4*3(3^x)=\\3^x(1+[4*3])=\\3^x(1+12)=\\3^x(13)=\\13*3^x

3 0
3 years ago
Other questions:
  • a delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 90 p
    11·2 answers
  • What is the greatest common factor of 20, 45x?
    8·1 answer
  • Which of the following is 7/18 closest to? <br> 1/2<br> 0<br> 1
    9·2 answers
  • Please help me with question 12 :(
    9·1 answer
  • Anybody know this one? I’m set that it is B but I am not too sure
    7·1 answer
  • X+3y = 2
    13·1 answer
  • If g (x) = -3x + 2 , find g (x + 5).<br><br><br> HELP PLZ
    11·1 answer
  • How many 1/4 cup servings are there in 3/8 cup peanut butter?
    8·2 answers
  • Can someone give me the answer I will give you brilliant
    11·2 answers
  • Please Hurry Need Answer<br><br> -2/5 + 4/5
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!