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Anna11 [10]
3 years ago
9

I need help answering this ASAP

Mathematics
1 answer:
Nata [24]3 years ago
7 0

Answer:

"D"

if you multiply by Conjugate

the denominator would end up A^2 - b^2

the answer has 25 - 10x

that is D

Step-by-step explanation:

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In a group of 40 people, 27 can speak English and 25 can speak Spanish. How many can speak
Svetradugi [14.3K]

\qquad {\: \:\bigstar \:  {\underline{\overline{\boxed{\bf{Information \: provided \:  with  \: us }}}}}\: \bigstar}

➻ In a group of 40 people, 27 can speak English and 25 can speak Spanish.

\qquad {\: \:\bigstar \:  {\underline{\overline{\boxed{\bf{What \: we \:  have  \: to \: find ? }}}}}\: \bigstar}

➻ The required number of people who can speak both English and Spanish .

\qquad {\: \:\bigstar \:  {\underline{\overline{\boxed{\bf{Assumption}}}}}\: \bigstar}

<u>Consider</u> ,

➻ A → Set of people who speak English.

➻ B → Set of people who speak Spanish

➻ A∩B → Set of people who can speak both English and Spanish

\qquad {\: \:\bigstar \:  {\underline{\overline{\boxed{\bf{Given}}}}}\: \bigstar}

  • ➻ n (A) = 27

  • ➻ n (B) = 25

  • ➻ n (A∪B) = 40

  • ➻ n(A∩B) = ?

\qquad {\: \:\bigstar \:  {\underline{\overline{\boxed{\bf{Now}}}}}\: \bigstar}

➻ n(A∪B) = n(A) + n (B) - n(A∩B)

➻ 40 = 27 + 25 - n (A∩B)

➻ 40 = 52 - n (A∩B)

➻ n (A∩B) = 52 - 40

➻ ∴ n (A∩B) = 12

\qquad {\: \:\bigstar \:  {\underline{\overline{\boxed{\bf{Therefore}}}}}\: \bigstar}

∴ Required Number of persons who can speak both English and Spanish are <u>12 .</u>

━━━━━━━━━━━━━━━━━━━━━━

\qquad {\: \:\bigstar \:  {\underline{\overline{\boxed{\bf{Verification}}}}}\: \bigstar}

➻ n(A∪B) = n(A) + n (B) - n(A∩B)

➻ 40 = 27 + 25 - 12

➻ 40 = 52 - 12

➻ 40 = 40

➻ ∴ L.H.S = R.H.S

━━━━━━━━━━━━━━━━━━━━━━

6 0
2 years ago
Look at abc. which triangle is congruent abc by the asa criterion
Bad White [126]
There is only 1 triangle
4 0
3 years ago
What is the equation of the following line written in slope-intercept form?
dolphi86 [110]

Answer:

Option (2)

Step-by-step explanation:

Let the equation of the line is,

y - y' = m(x - x')

where (x', y') is a point lying on the given line.

And m = slope of the line = \frac{y_2-y_1}{x_2-x_1}

Line given in the graph passes through two points (-5, -1) and (-2, -3).

Slope of the line 'm' = \frac{-3+1}{-2+5}

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Therefore, equation of the line passing through(-5, -1) and slope of the line = -\frac{2}{3} will be,

y - (-1) = -\frac{2}{3}[x-(-5)]

y+1=-\frac{2}{3}(x+5)

y=-\frac{2}{3}x-\frac{10}{3}-1

y=-\frac{2}{3}x-\frac{13}{3}

Option (2) will be the answer.

8 0
3 years ago
WILL MARK BRAINLIEST.
charle [14.2K]

Answer:

option d

Step-by-step explanation:

The cross section of the rectangular prism is parallel to the base.

So, the length and width is congruent to the base. So, same length and width

3 0
3 years ago
What is the value of f(x)=x21+4 when x = 8?<br><br><br> A. 0<br><br> B. 1<br><br> C. 6<br><br> D. 8
Hoochie [10]
When I did this equation I didn’t get any of these following answer choices, I apologize… Maybe the question was worded incorrectly? Please do let me know more info in the comments underneath this answer for I truly wish to help you out here :)

(P.S my work is shown below)

8 0
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