The table shows input and output values of the function y = x2 + 12x – 2. What is an approximate solution of the equation x2 + 12x – 2 = 0?

The area of triangle IJK is 999.8 square centimeters

The given parameters are:

[tex]\angle I = 120^o[/tex]

[tex]\angle J = 59^o[/tex]

[tex]i = 340cm[/tex]

Start by calculating the length of side j using the following sine ratio

[tex]\frac{i}{\sin(I)} = \frac{j}{\sin(J)}[/tex]

Make j the subject of the formula

[tex]j = \sin(J) \times \frac{i}{\sin(I)}[/tex]

Substitute known values

[tex]j = \sin(59) \times \frac{340}{\sin(120)}[/tex]

Evaluate the expression

[tex]j = 337[/tex]

Next, calculate angle K using the following sum of angles formula

[tex]\angle I + \angle J + \angle K =180[/tex]

Substitute known values

[tex]120 + 59 + \angle K =180[/tex]

[tex]179 + \angle K =180[/tex]

Subtract 179 from both sides

[tex]\angle K =1[/tex]

The area of the triangle is:

[tex]Area = \frac{1}{2} ij \times \sin(K)[/tex]

So, we have:

[tex]Area = \frac{1}{2} \times 340 \times 337 \times \sin(1)[/tex]

Evaluate

[tex]Area = 999.8[/tex]

Hence, the area of triangle IJK is 999.8 square centimeters

Read more about areas at:

https://brainly.com/question/2391510

Answer:

-4,-4

Step-by-step explanation:

let the numbers be x and y.

x+y=-8

y=-x-8

xy=16

x(-x-8)=16

-x²-8x=16

x²+8x+16=0

x²+4x+4x+16=0

x(x+4)+4(x+4)=0

(x+4)(x+4)=0

x=-4,-4

Answer:

I am sooo sorry I really need the points

Step-by-step explanation:

Soooo sorry

Answer:

$55.35

Step-by-step explanation:

10 x 9.98 = 99.80

15 x 12.99 = 194.85

350 - 194.85 = 155.15

155.15 - 99.80 = 55.35

Answer:

f is the answer

Step-by-step explanation:

Answer:  (8, 9)

Step-by-step explanation:

Answer:

(-4, 1)

Step-by-step explanation:

Answer:

2.389 × 10^5

Step-by-step explanation:

the coefficient must be between 1 to 10

Answer:

[tex]\sqrt[6]{432}[/tex]

Step-by-step explanation:

[tex]\sqrt[3]{4}\cdot\sqrt{3}=4^{\frac{1}{3}}\cdot3^\frac{1}{2}=(2^2)^\frac{1}{3}\cdot3^\frac{1}{2}=(2^\frac{4}{3})^\frac{1}{2}\cdot3^\frac{1}{2}=(2^\frac{4}{3}\cdot3)^\frac{1}{2}=(2^4\cdot27)^\frac{1}{6}=432^\frac{1}{6}=\sqrt[6]{432}[/tex]

Answer:

It should be "there ARE 254 counties in texas..."

Step-by-step explanation:

is the wrong one it should be are

Step-by-step explanation:

Answer:

21 hours

Step-by-step explanation:

Since 2^8 = 256, that means it will take 7 half-lives to become two gallons

7 half-lives * 3 hours = 21 hours

256, 128, 64, 32, 16, 8, 4, 2

Answer:

Experts say that the area can be deemed safe after only 2 gallons remain. Unfortunately, it is too toxic for any clean-up efforts. She residents will

Step-by-step explanation:

To solve half-life problems, you use the equations:

f(t) = T0 (1/2)^(t/t1/2). where T0 is the initial mass and T1/2 is the half-life.

So we get f(20)= 5 = T0•(1/2) ^ 20/11

T0 = 17.63 mg

For the second part of the question, we plug 0.5 mg into the equation:

0.5 = 17.63 • (1/2)^ t/11

t = 56.5 days

Answer:

The answer is B

Step-by-step explanation:

Triangle ABC was reflected across the y-axis and then translated 7 units down.

Answer:

enlarge by scale factor -1/2, centre 6,5

Answer: y= -3(x+4)

Step-by-step explanation:

Answer:

42 I think LOL

Answer:

I am busy but all the questions from 1 to 6 just add the measure of 2 angles which are given and then subtract it from 180, you will get the measure of the remaining angle.

7.

8.: 180/3

9. x = 5

10. i dont know

i dont know = no time....

Step-by-step explanation:

Answer:

The answer is m=0.10L

Step-by-step explanation:

You just input the values in L in the equation to get M you just do process of elimination

Answer:

Matter in living things may pass into nonliving things.

Step-by-step explanation:

Answer: 214 ft^2

Step-by-step explanation:

A=πr^2

3.14(8.25)^2

3.14(68.0625)

213.71625

rounded to the nearest square foot: 214

Answer:

if Y=-3 and 4y is the equation then the answer is -27

Answer:

4y=-12

4+y=1

Step-by-step explanation:

when y=-3

then you substitute the value of y into the questions

4(-3)=

4×-3

=-12

4+y

4+(-3)

we know that plus(+) multiplied by(×) minus(-) is equal to(=) minus(-)

so therefore,

4-3

=1

Answer:

4x+7 I believe but it could be wrong

The answer is 384 mangoes I hope it is helpful.

Answer:

V=πr^2h=π·8^2·6≈1206.37158

Step-by-step explanation:

Given:

Yamir is twice as old as Pato.

In three years, the sum of their ages will be 30.

Pato's current age is represented by [tex]a[/tex].

To find:

The equation that could be used to correctly solve for [tex]a[/tex].

Solution:

We know that, Pato's current age is represented by a, then

Yamir's age = [tex]2a[/tex]

After three years,

Pato's age = [tex]a+3[/tex]

Yamir's age = [tex]2a+3[/tex]

In three years, the sum of their ages will be 30.

[tex](a+3)+(2a+3)=30[/tex]

[tex](a+2a)+(3+3)=30[/tex]

[tex]a+2a+6=30[/tex]

Therefore, the correct option is 2.

Answer:

3

Step-by-step explanation:

Pick two points on the line

(0,0) and (10,30)

Using the slope formula

m = (y2-y1)/(x2-x1)

    = (30-0)/(10-0)

    = 30/10

    = 3