1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
tatiyna
2 years ago
9

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

Mathematics
1 answer:
Zarrin [17]2 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)


You might be interested in
State the solution of the system of linear equation using its grap<br> 6.<br> SOLUTION: (<br> -2
IRINA_888 [86]

Answer:

Solution is (2, -1)

Step-by-step explanation:

The lines cross  at the point where x = 2 and y = -1.

3 0
3 years ago
SinA=√1-x÷√1+X<br> Find the value of cosA
Irina-Kira [14]

The value of cos A is √(1 + x²)/ (1 - x²) /√1 + x

<h3>Trigonometric ratios</h3>

It is important to note that

sin A = opposite/ hypotenuse

cos A = adjacent/ hypotenuse

Then,

opposite = \sqrt{1} - x

Hypotenuse = \sqrt{1} + x

Let's find the adjacent side using the Pythagorean theroem

(\sqrt{1} + x)^2 = (\sqrt{1 -x } )^2 + x^2

1 + x^2 = 1 - x^2 + x^2

x = \sqrt{\frac{1 + x^2}{1 -x^2} }

cos A = x/hypotenuse

cos A = \frac{\sqrt{\frac{1+x^2}{1 -x^2} } }{\sqrt{1} +x}

cos A = √(1 + x²)/ (1 - x²) /√1 + x

Thus, the value of cos A is √(1 + x²)/ (1 - x²) /√1 + x

Learn more about trigonometric identities here:

brainly.com/question/7331447

#SPJ1

6 0
1 year ago
Plzz Help me!! Have to have this submitted by tonight!
Aliun [14]
N is the number of the Tshirt
c is the cost
the relationship between the cost and the number of the Tshirt is:
12n+3=c
so if 1 is the number of the tshirt so the cost is
12.1+3=12+3=15
if n=2 c=12.2+3=24+3=27
and etc.....
7 0
3 years ago
Drag the simplified value into the box to match each expression.
AveGali [126]

Answer:

2^{3} +1⋅4−3 = 9

2^{0}+10−4⋅2 = 3

3+5^{2} -6⋅4 = 4

Step-by-step explanation:

4 0
2 years ago
Standard form. (x+8)(x−6)
vovikov84 [41]

Answer:

x² + 2x - 48

Step-by-step explanation:

( x + 8 ) ( x - 6 )

=  x ( x - 6 ) + 8 ( x - 6 )

= x*x - 6*x + 8*x + 8*( - 6 )

= x² - 6x + 8x  - 48

= x² + 2x - 48

4 0
1 year ago
Read 2 more answers
Other questions:
  • Suppose a basketball team had a season of games with the following characteristics: Of all the games, 60% were at-home games. De
    12·1 answer
  • If m HELP ASAP PLEASE
    12·1 answer
  • Multiply by 3, then subtract 4.
    12·1 answer
  • Liv made punch by mixing 2.8 liters of orange juice, 0.75 liter of pineapple juice,
    6·2 answers
  • A Florida poll asked 1200 Floridians whether they would prefer an increase in taxes or a decrease in government services as a wa
    12·1 answer
  • A line with slope 3.5 and y-intercept (0,4) Show work
    9·2 answers
  • Complete the equation of the line whose slope is -2 and y-intercept is (0,-8)?
    14·2 answers
  • Find the distance between -4,2 and -4,-5​
    6·1 answer
  • Which number line shoes the solution to the inequality -2x-3&gt;-11?
    8·1 answer
  • Please answer this?!!!!!!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!