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The graph of the line x=-4 is a horizontal line

natita [175]

Answer:

Yes

Step-by-step explanation:

5 0

2 years ago

Harry is trying to solve the equation 0 = 2x2 − x − 6 using the quadratic formula. He has made an error in one of the steps belo

bija089 [108]

<h3><u>Given</u> - </h3>

➙ a quadratic equation in which Harry lagged due to an error made by him, 2x² - x - 6= 0

<h3><u>To solve</u> - </h3>

➙ the given quadratic equation.

<h3><u>Concept applied</u> - </h3>

➙ We will apply the quadratic formula as given in the question. So, let's study about quadratic equation first because we are supposed to apply the formula in equation.

What is quadratic equation?

➙ A quadratic equation in the variable x is an equation of the form ax² + bx + c = 0, where a, b, c are real numbers, a ≠ 0.

Now, what is quadratic formula?

➙The roots of a quadratic equation ax + bx + c = 0 are given by $\sf{\:\frac{-b \pm\: \sqrt {b ^ 2 - 4ac}}{2a}}$ provided b - 4ac ≥ 0.

<h3><u>Solution</u> - </h3>

here as per the given quadratic equation,

a = 2, b = -1 and c = -6

putting in the formula,

$\implies\sf{x=\frac{-(-1) \pm\: \sqrt {(-1)^2 - 4(2)(-6)}}{2(2)}}$

$\implies\sf{x=\frac{1 \pm\: \sqrt {1+48}}{4}}$

$\implies\sf{x=\frac{1 \pm\: \sqrt {49}}{4}}$

$\implies\sf{x=\frac{1 \pm\: 7}{4}}$

Solving one by one,

$\implies\sf{x=\frac{1 + \: 7}{4}}$

$\implies\sf{x=\frac{8}{4}}$

$\implies{\boxed{\bf{x=2}}}$

________________

$\implies\sf{x=\frac{1 - \: 7}{4}}$

$\implies\sf{x=\frac{-6}{4}}$

$\implies{\boxed{\bf{x=\frac{-3}{2}}}}$

________________________________

<em><u>Note</u> - Hey dear user!! You haven't provided the solution which was solved by Harry (A.T.Q). Please go through the solution as it will help you to find the error done by Harry.</em>

Hope it helps!! (:

4 0

2 years ago

The measure of each interior angle of a regular polygon is 157.5 ∘ . How many sides does the polygon have?

uranmaximum [27]

180(n-2)=157.5n

180N-360=157.5n

180N-157.5n=360

22.5N=360

N=360/22.5

N=16

4 0

3 years ago

PLEASE HELP ME AND MY FRIEND NEED THIS QUESTION ANSWERED PLEASE HELP

Bas_tet [7]

Answer:

$V_{cone} =65.94\: cm^3$

Step-by-step explanation:

Height of cone (h) = 7 cm

Base radius (r) = 3 cm

Formula for Volume of cone is given as:

$V_{cone} = \frac{1}{3}\pi r^2h$

Plugging the values of h and r in the above formula, we find:

$V_{cone} = \frac{1}{3}(3.14) (3)^2(7)$

$\implies V_{cone} = \frac{1}{\cancel 3}(3.14) (\cancel 9)(7)$

$\implies V_{cone} = (3.14) (3)(7)$

$\implies V_{cone} =65.94\: cm^3$

7 0

1 year ago

Audrey and Sam divided money in the ratio of 3 to 5. Audrey obtained $36, how much money do they have altogether?

Ivenika [448]

8:20 is the same as 2:5.

<h3>What is unitary method?</h3>

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units.
Let's say you go to the store to buy six apples. You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples.
Recognizing the units and values is crucial when using the unitary technique to a problem.

Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things. We are aware of the quantity of apples and the amount of money in the aforesaid problem.

acc to our question-

= 12 + S
S= (2/5)A
S= (2/5)(12+S)
5S = 24 + 2S
3S = 24
S = 24/3 = 8 = what Sam received
A= 8+12 = 20 = what Audreyreceived
8:20 is the same as 2:5
divide both 8 and 20 by 4 to get the 2 to 5 ratio.

hence,8:20 is the same as 2:5.

learn more about unitary method click here:

brainly.com/question/24587372

#SPJ4

8 0

1 year ago