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torisob [31]
3 years ago
15

Lester was solving an equation but he made a mistake. What is the mistake and what is the correct answer? X + 17 = 22 –22 –22 x

= 0
Mathematics
2 answers:
m_a_m_a [10]3 years ago
5 0

X + 17 = 22

- 17 - 17

X=5

Amiraneli [1.4K]3 years ago
3 0

subtract 17, not 22, from both sides. 17 – 17 = 0 and 22 – 17 = 5. The answer should be x = 5.

Step-by-step explanation:

You might be interested in
Given that (x+y+z)(xy+xz+yz)=18 and that x^2(y+z)+y^2(x+z)+z^2(x+y)=6 for real numbers x, y, and z, what is the value of xyz?
worty [1.4K]

Answer:

4

Step-by-step explanation:

(x+y+z)(xy+xz+yz)=18 Equation 1

x^2(y+z)+y^2(x+z)+z^2(x+y)=6 Equation 2

What is the value of xyz where each variable represents a real number?

Let's expand equation 1:

(x+y+z)(xy+xz+yz)=18

x(xy)+x(xz)+x(yz)+y(xy)+y(xz)+y(yz)+z(xy)+z(xz)+z(yz)=18

Simplify each term if can:

x^2y+x^2z+xyz+y^2x+xyz+y^2z+xyz+z^2x+z^2y=18

See if we can factor a little to get some of the left hand side of equation 2:

The first two terms have x^2 and if I factored x^2 from first two terms I would have x^2(y+z) which is the first term of left hand side of equation 2.

So let's see what happens if we gather the terms together that have the same variable squared together.

x^2y+x^2z+y^2x+y^2z+z^2y+z^2x+xyz+xyz+xyz=18

Factor the variable squared terms out of each binomial pairing:

x^2(y+z)+y^2(x+z)+z^2(y+x)+xyz+xyz+xyz=18

Replace the sum of those first three terms with what it equals which is 6 from the equation 2:

6+xyz+xyz+xyz=18

Combine like terms:

6+3xyz=18

Subtract 6 on both sides:

3xyz=12

Divide both sides by 3:

xyz=4

4 0
3 years ago
Can someone help me please ASAP
zmey [24]

Answer:

<h2>140°</h2>

solution,

Let <DEF= x°

<CDE= 2x°

<BAF= 90°

The sum of interior angle of hexagon= 720°

<A + <B + <C + <D + <E +<F = 720°

90 + 145 + 115 + 2x + x + 160 = 720 \\ 510 + 3x = 720 \\3x + 510 = 720 \\ 3x + 510 - 510 = 720 - 510 \\ 3x = 210 \\  \frac{3x}{x}  =  \frac{210}{3}  \\ x = 70 \: degree

Again,

< \: cde = 2x \\  \:  \:  \:  \:  \:   \:  \:  \:  \:  \:  \:  \:  = 2 \times 70 \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  = 140 \: degree

Hope this helps...

Good luck on your assignment..

4 0
3 years ago
If 2^x+4 = 2^3x-1, what is the value of x?
Ronch [10]

Answer:

     x = 5/2

Step-by-step explanation:

2^x+4 = 2^3x-1

x + 4 = 3x - 1

3x - x  = 4 + 1

2x   = 5

     x = 5/2

3 0
3 years ago
In a certain isosceles right triangle, the altitude to the hypotenuse has length
Law Incorporation [45]

The angle bisector, median, and altitude are all the same things in an isosceles triangle.

That means that the legs of the smaller triangles created by the altitude are 4 root 2.

By special properties of an right triangle, the hypotenuse is 8.

Since the legs of the original right triangle are congruent, the area of the original triangle is 8*8/2.

Now we just simplify:

8*8/2=64/2=32

8 0
3 years ago
Measure (7x+1) (2x+1)
Gemiola [76]

Smaller angle = 41°

Larger angle = 139°

Step-by-step explanation:

(7x - 1) + (2x + 1) = 180

7x + 2x - 1 + 1 = 180

9x = 180

x = 20

  • The measure of the smaller angle is

2x + 1

= 2(20) + 1

= 40 + 1

<u>= 41°</u>

  • The measure of the larger angle is

7x - 1

= 7(20) - 1

= 140 - 1

<u>= 139°</u>

4 0
2 years ago
Read 2 more answers
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