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tatiyna
3 years ago
9

Type the correct answer in the box use/ for the fraction bar

Mathematics
1 answer:
Zarrin [17]3 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

given the 2 equations

y = x² - 2x - 19 → (1)

y + 4x = 5 → (2)

substitute y = x² - 2x - 19 into (2)

x² - 2x - 19 + 4x = 5 ( subtract 5 from both sides )

x² + 2x - 24 = 0 ← in standard form

(x + 6)(x - 4) = 0 ← in factored form

equate each factor to zero and solve for x

x + 6 = 0 ⇒ x = - 6

x - 4 = 0 ⇒ x = 4

substitute each value of x into (1) for corresponding y- coordinate

x = - 6 : y = (- 6)² - 2(- 6) - 19 = 36 + 12 - 19 = 29 ⇒ (- 6, 29)

x = 4 : y = 4² - 2(4) - 19 = 16 - 8 - 19 = - 11 ⇒ (4, - 11)

the solutions are (- 6, 29), (4, - 11)


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The area of a circle is 100π ft². What is the circumference, in feet? express your answer in terms of \piπ
Bond [772]

Answer:

20π ft

Step-by-step explanation:

To find the circumference of the circle given its area, first find its radius.

\textcolor{steelblue}{\boxed{\text{Area of circle =}\pi  {r}^{2} }}

Substitute given area into the formula:

100π= πr²

Divide both sides by π:

100= r²

Square root both sides:

r =  \sqrt{100}

r= 10 ft

\textcolor{steelblue}{\boxed{\text{Circumference of circle = }2\pi  {r}}}

Since we have found the value of the radius, we can substitute r= 10 into the formula above to find the circumference.

Circumference of circle

= 2(π)(10)

= 20π ft

8 0
2 years ago
The coach bought a hamburger and a $1.75 drink for the 10 members of the team. He spent a total of $36.00. Write and nu solve an
Angelina_Jolie [31]

Answer:

1.85

Step-by-step explanation:

equation will be 10(h+1.75)=36

hamburger price is $1.85

7 0
3 years ago
How do I factor x^2+4x+20
icang [17]
Its like x² + 4x +20 = 0,
x = [-4 + √[(4²) - (4*1*20)]]/(2*1) = [-4 + √(16-80)]/2 = [-4 + √(-64)]/2 = [-4 + 8√(-1)]/2 = -2 + 4i,
x = [-4 - √[(4²) - (4*1*20)]]/(2*1) = [-4 - √(16-80)]/2 = [-4 - √(-64)]/2 = [-4 - 8√(-1)]/2 = -2 - 4i,
here i = √(-1), its a complex number.
so solution is a complex number,
x = -2 - 4i & -2 + 4i.
8 0
3 years ago
What is the area of this parallelogram?<br> Please help me
stich3 [128]

The answer is 60cm2

Arectangle=L×W

8 0
3 years ago
Anybody know how to do this?
Rina8888 [55]

Step-by-step explanation:

When a factor appears in both the numerator and denominator, that is a hole in the function.

Therefore, the domain of h(x) is (-∞, 4) (4, ∞).

Which means the range of h(x) is (-∞, 5) (5, ∞).

Graph: desmos.com/calculator/j58gdgugxy

4 0
4 years ago
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