Which method is better for solving the following equation?<br> 4x2+7x -8= 0

(x-1)2 + (y + 3)2 = 73<br> What is the center ?

Olenka [21]

Answer:

centre = (1, - 3 )

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x - 1)² + (y + 3)² = 73 ← is in standard form

with (h, k ) = (1, - 3 ) ← centre

3 0

2 years ago

Use the law of Sines to find the missing angle of the triangle. <br> Find m

Whitepunk [10]

Ah...Trigonometry is fun!

The law of sines states:
$\frac{sinA}{a}= \frac{sinB}{b} = \frac{sinC}{c}$
The transitive property (switching the orders of the equations) applies here. Therfore, we can say that $\frac{sinA}{a}=\frac{sinC}{c}$

We then plug in our given values to find C

$\frac{sin24}{77}=\frac{sinC}{162}$
$\frac{162*sin24}{77}=sinC$
Solving, we get 0.8557316387. We're not done yet!

We are trying to find an angle measure, so we'll do the inverse of the ratio we used (sin).

arcsin0.8557316387 (arcsin is the same as inverse sin)
=58.8 (approximate)

So the measure of angle C is 58.8. You could check this by reinserting it into the equation $\frac{sinA}{a}= \frac{sinB}{b} = \frac{sinC}{c}$ .

:)

6 0

3 years ago

A restaurant is preparing for a large barbeque cook out. The restaurant is planning to cook briskets that are 5 lb each and hamb

SVEN [57.7K]

The inequality that can be used to represents all possible combinations of x, the number of hamburgers and y, the number of briskets that will be cooked is 5y + 0.25x ≤ 150

Given:

pounds of brisket = 5 lb

Pounds of hamburger = 0.25 lb

Total pounds of briskets and hamburgers = no more than 150 lb

number of hamburgers = x

number of briskets = y

No more than in inequality = (≤)

The inequality:

5y + 0.25x ≤ 150

Therefore, inequality that can be used to represents all possible combinations of x, the number of hamburgers and y, the number of briskets that will be cooked is 5y + 0.25x ≤ 150

Learn more about inequality:

brainly.com/question/18881247

7 0

1 year ago

Based on the diagram shown, all of the following are true statements except

ira [324]

You are correct. The answer is choice C.

The other choices A, B, D have each side add up to 180 degrees either because the angles are a linear pair (adjacent and supplementary) or because the angles are same side interior angles. Same side interior angles are supplementary if a transversal line cuts through a pair of parallel lines as so happens in this diagram.

6 0

2 years ago

Read 2 more answers

You are the treasurer of a small group and must keep track of the money in the group's fund.

a_sh-v [17]

The difference between each number in the dollars fund is 25

209 - 184 = 25
184 - 159 = 25

so....in the ? space......134 - 25 = 109 <==

3 0

2 years ago

Which method is better for solving the following equation? 4x2+7x -8= 0