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jekas [21]
2 years ago
14

Simplify the expression 32a769. Assume a = 0 and b +0. Enter the correct answer in the box.

Mathematics
1 answer:
Solnce55 [7]2 years ago
4 0

Answer:

2a^2b^3 ^3squareroot4a

Step-by-step explanation:

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Find the value of k and x2<br> x^2+ 13x + k = 0, x1=-9
Anarel [89]

Given:

The quadratic equation is:

x^2+13x+k=0

x_1=-9

To find:

The value of k and x_1.

Solution:

We have,

x^2+13x+k=0                ...(i)

Putting x=-9, we get

(-9)^2+13(-9)+k=0

81-117+k=0

-36+k=0

k=36

Putting k=36 in (i), we get

x^2+13x+36=0

Splitting the middle term, we get

x^2+9x+4x+36=0

x(x+9)+4(x+9)=0

(x+9)(x+4)=0

x=-9,-4

Here, x_1=-9 and x_2=-4.

Therefore, the required values are k=36 and x_2=-4.

3 0
2 years ago
What are the values of x and y?
Ede4ka [16]

Step-by-step explanation:

In figure:

∠PRT+∠RTP+∠TPR=180

O

(angle sum property of triangle)

⇒x+(180

O

−∠RTQ)+60

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=180

O

(linear pair)

⇒x+(180

O

−97

0

)+60

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=180

O

⇒x=31

o

Now, ∠PRT+∠TRQ+∠QRS=180

O

(angle of straight line)

⇒x+48

o

+y=180

O

⇒31

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+48

o

+y=180

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⇒y=101

0

3 0
2 years ago
A delivery truck drove 203 mi in 3.5 h. After unloading and loading new cargo, it traveled on another 243 mi for 4.5 h.
sveticcg [70]
The answer is 55.75! Trust me I took a test on this and its the right one.
8 0
3 years ago
Read 2 more answers
You fill a 100 mL graduated cylinder with 38.5 mL of water. What is the volume?
larisa [96]

Answer:

38.5cm³

Step-by-step explanation:

1ml = 1cm³

38.5ml = 38.5cm³

7 0
3 years ago
A 13.5​-m fire truck ladder is leaning against a wall. Find the distance d the ladder goes up the wall​ (above the fire​ truck)
larisa86 [58]
To solve this problem you must apply the proccedure shown below:

 1. You have the the<span> 13.5​-m fire truck ladder is leaning against a wall and the ladder makes an angle of 39 degrees 45 ' with the horizontal.

 2. Then you have:

 3</span>9 degrees 45'=39.75°
<span>
 Sin(39.75°)=d/13.5
 d=13.5x</span>Sin(39.75°)
<span> d=8.63

 </span>
8 0
3 years ago
Read 2 more answers
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