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KatRina [158]
3 years ago
15

Help it's timed.

Mathematics
2 answers:
I am Lyosha [343]3 years ago
7 0

Answer:

S=\left \{ -7\sqrt{2},7\sqrt{2} \right \}

(x = Plus or minus 2 StartRoot 7 EndRoot)

Step-by-step explanation:

Since b=0, we can simply operate it this way:

98-x^{2}=0\Rightarrow 98=x^{2}\Rightarrow \sqrt{98}=\sqrt{x^{2}}\Rightarrow \sqrt{2*7^{2}}=x\Rightarrow x=\pm 7\sqrt{2}\\S=\left \{ -7\sqrt{2},7\sqrt{2} \right \}

densk [106]3 years ago
4 0

98 - x² = 0

x² = 98

x = ±√98

Lets factor 98

98 | 2

49 | 7

7 | 7

1

So, 98 = 2 . 7 . 7 = 2 . 7²

x = ±√2.7²

x = ±7√2

You might be interested in
¿Cuál es el área de un rectángulo, sabiendo que su perímetro mide 24 cm y que su base es el triple de su altura?
Brrunno [24]

Answer:

El área del rectángulo es:

27 cm²

Step-by-step explanation:

Consideración:

La formula del perímetro de un rectángulo es:

p = 2(altura + base)

Planteamiento:

24 = 2(a+b)

b = 3a

a = longitud de la altura del rectángulo

b = longitud de la base del rectángulo

Desarrollo:

sustituyendo el valor de la segunda ecuación del planteamiento en la primer ecuación del planteamiento:

24 = 2(a + 3a)

24/2 = 4a

12 = 4a

a = 12/4

a = 3 cm

de la segunda ecuación del planteamiento:

b = 3a

b = 3*3

b = 9 cm

Comprobación:

de la primer ecuación del planteamiento:

24 = 2(3+9)

24 = 2*12

Respuesta:

la formula del área de un rectángulo es:

A = base * altura

A = 9cn * 3cm

A = 27cm²

5 0
3 years ago
Which of these triangles is not possible?
Firdavs [7]

Answer:

d

Step-by-step explanation:

5 0
2 years ago
Below are the steps to solve an equation:
otez555 [7]

Answer:

x-5=-3

Step-by-step explanation:

|x-5|+2=5

|x-5|=5-2

|x-5|=3

x-5=±3

so x-5=-3 is a correct step.

4 0
3 years ago
PLEASE HELP I POSTED LIKE 2 HOURS AGO WITH THIS QUESTION AND I NEED HELP:)
garik1379 [7]

A system is inconsistent when there are no solutions between the two equations. Graphically, the lines will be parallel (they never meet!) and the slopes will be the same. But the y-intercepts will be different.

Let's look at the four equations, with each solved as needed, into y = mx + b form.

A: 2x + y = 5

y = 5 - 2x

y = -2x + 5

Compared to y = 2x + 5, the slopes are different, so this system won't be inconsistent. Not a good choice.

B: y = 2x + 5

Compared to y = 2x + 5, the slopes are the same and the y intercepts are the same. This system has infinitely many solutions. Not a good choice.

C: 2x - 4y = 10

-4y = 10 - 2x

-4y = -2x + 10

y = 2/4x -10/4

Here the slopes are different, so, like A this is not a good choice.

D: 2y - 4x = -10

2y = =10 + 4x

2y = 4x - 10

y = 2x - 5

Compared to y = 2x + 5 we have the same slopes and different y intercepts.  The lines will be parallel and the system is inconsistent.


Thus, D is the best choice.

7 0
3 years ago
Read 2 more answers
Match each circular flower bed on the left to its circumference and its area on the right. Some answer options on the right will
marin [14]

Answer:

Bed A --- Third Option

Bed B --- Fifth Option

Step-by-step explanation:

Flower Bed A)

The formula for circumference is:

C=2\pi r

The diameter of A is 10 feet. So, its radius is 5 feet.

Substitute 5 for r. So, the circumference of Bed A is:

C=2\pi (5)=10\pi\text{ feet}

The formula for the area of a circle is:

A=\pi r^2

Substitute 5 for r:

A=\pi (5)^2

Square and simplify:

A=25\pi \text{ square feet}

So, the circumference of Bed A is 10π feet and its area is 25π square feet.

Therefore, match Bed A to the third option.

Flower Bed B)

The radius of Bed B is 6 feet. Again, we can use the circumference and area formulas. Substitute 6 for r for circumference:

C=2\pi (6)

Multiply:

C=12\pi\text{ feet}

Substitute 6 for r for the area formula:

A=\pi(6)^2

Square and simplify:

A=36\pi\text{ square feet}

So, Bed B has a 12π feet circumference and a 36π square feet area.

Therefore, match Bed B to the fifth option.

And we're done!

8 0
3 years ago
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