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2 years ago

Pls help meee!!!!!!!!! Pls show your work pls and thank u

Mathematics

2 answers:

nikdorinn [45]2 years ago

8 0

Answer: x = 40

Step-by-step explanation:

these two angles are vertical angles, they will equal each other

therefore, move numbers and variables to the opposite sides of the = sign to isolate the X

3x-10 = 2x + 30

+10 +10 move the -10 by doing opposite

_____________

3x = 2x + 40

-2x -2x move -2x by doing opposite

____________

x = 40

you can check your work by substituting 40 in place of x

3(40) - 10 = 2(40) +30

120-10 = 80 + 30

110 = 110

answer is correct

Oduvanchick [21]2 years ago

6 0

Answer:

x = 40

Step-by-step explanation:

The given angles are vertical angles, hence they are equal.

=============================================================

Solving for x :

⇒ 3x - 10 = 2x + 30

⇒ 3x - 2x = 30 + 10

⇒ x = 40

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7. Use the quadratic formula to find the solution(s). x² + 2x - 8 = 0

morpeh [17]

Hey there!

Use the quadratic formula to find the solution(s). x² + 2x - 8 = 0

Answer :

x = -4 or x = 2 ✅

Explanation :

Quadratic formula : ax² + bx + c = 0 where a ≠ 0

The number of real-number solutions (roots) is determined by the discriminant (b² - 4ac) :

If b² - 4ac > 0 , There are 2 real-number solutions

If b² - 4ac = 0 , There is 1 real-number solution.

If b² - 4ac < 0 , There is no real-number solution.

The roots of the equation are determined by the following calculation:

$x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a}$

Here, we have :

a = 1
b = 2
c = -8

1) Calculate the discriminant :

b² - 4ac ⇔ 2² - 4(1)(-8) ⇔ 4 - (-32) ⇔ 36

b² - 4ac = 36 > 0 ; The equation admits two real-number solutions

2) Calculate the roots of the equation:

▪️ (1)

$x_1 = \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} \\ \\ x_1 = \frac{ - 2 - \sqrt{36} }{2(1) } \\ \\ x_1 = \frac{ - 2 - 6}{2} \\ \\ x_1 = \frac{ - 8}{2} \\ \\ \blue{\boxed{\red{x_1 = -4}}}$

▪️ (2)

$x_2 = \frac{ - b + \sqrt{ {b}^{2} - 4ac } }{2a} \\ \\ x_2 = \frac{ - 2 + \sqrt{36} }{2(1)} \\ \\ x_2 = \frac{ - 2 + 6}{2} \\ \\ x_2 = \frac{4}{2} \\ \\ \red{\boxed{\blue{x_2 = 2}}}$

>> Therefore, your answers are x = -4 or x = 2.

Learn more about quadratic equations:

brainly.com/question/27638369

6 0

2 years ago

Read 2 more answers

HELPPP

GalinKa [24]

Answer:

HL (Hypotenuse Leg)

Step-by-step explanation:

You have BC=CD (Because of reflexive property), AC=DC, and measure of BAC is equal to the measure of BDC, which is 90 degrees. Since these triangles are right and they have a hypotenuse and a leg congruent, you can say that they are congruent because of HL.

4 0

3 years ago

The area is no more than 40 square feet. Write and solve an inequality that represents the value of x

Anna35 [415]

Answer:

well its a triangle so

40 divide by 20 is 2

but you have to mutiply that 2 by 2

Step-by-step explanation:

3 0

3 years ago

Janet can make 3/5

IceJOKER [234]

I need help with this problem too

7 0

3 years ago

What are the zeros of f(x) = x2 + 3x - 10?

Zielflug [23.3K]

Answer:

(x+5) (x-2)

SO -5 and 2 option A

Step-by-step explanation:

factor it. and set equal to zero.

6 0

3 years ago