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Rudik [331]
3 years ago
11

Give the equation for a circle with the given center and radius. Center at (4, 1), radius = 6

Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
8 0

The equation of circle can be given as :

(x-h)² +(y-k)²=r²

where (h,k) is center of circle and r is radius

the center is at (4,1) and radius =6

so equation becomes,

(x-4)² +(y-1)²=6²

(x-4)² +(y-1)²=36 is the equation of circle

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Antoine has $18.20 to spend on some oranges and a pumpkin. Oranges cost
Oksana_A [137]

Answer:

10 pounds

Step-by-step explanation:

You forgot the inequality sing, but since Antoine can't spend more than $18.20, I am positive that the sign is \leq (Antony can spend $18.20 or less than $18.20).

Therefore, our inequality is: 1.30x+5.20\leq 18.20

where x is the pounds of oranges

Let's solve step-by-step to find how many pounds of oranges he can buy

Step 1. Subtract 5.20 fro both sides of the inequality

1.30x+5.20-5.20\leq 18.20-5.20

1.30x\leq 13

Step 2. Divide both sides of the inequality by 1.30

\frac{1.30x}{1.30} \leq \frac{13}{1.30}

x\leq 10

We can conclude that Antony can buy 10 pounds of oranges.

7 0
3 years ago
Given ABCD is a parallelogram ABE equals 180° CBE is congruent to CEB prove DAE is congruent to CEA
katrin2010 [14]

Answer:

The proved is given below.

Step-by-step explanation:

Given ABCD is a parallelogram and also ∠ABE equals 180°, ∠CBE ≅ ∠CEB

We have to prove that ∠DAE ≅ ∠CEA

As ∠CEA=∠CBE  →  (1)

and given  ABCD is a parallelogram implies AD||CB

∴ ∠DAE=∠CBE  → (2)  as these are corresponding angles.

From equation (1) and (2), we get

∠DAE=∠CEA

Hence,  ∠DAE is congruent to ∠CEA

Hence Proved

6 0
3 years ago
What is the equation of the graph below?​
aalyn [17]

Answer:

y = sin(x + 90°)

Step-by-step explanation:

cos 0 = 1

Since the point (0, 1) is on the graph, this graph is y = cos x, but that is not a choice, so this must be the graph of the sine function with a horizontal translation.

sin 0 = 0

sin 90° = 1

The translation is 90°.

Answer: y = sin(x + 90°)

3 0
3 years ago
4. Identify the conclusion of the following conditional: A number is divisible by 3 if the sum of the digits of the number is di
statuscvo [17]
X/3+x/3 that is the form of it i think
4 0
3 years ago
How do I get the revised bill rate ?
Mashutka [201]

The initial pay rate is $16.00. It is also mentioned that the price is marked up by 78.7%. It means that the prices are increased by 78.7%. Also, there is a profit of 10% too. So, the pay rates after mark up will be

$16.00 + (78.7% of 16.00)

= $16.00 + $12.592

=$28.592

And the pay rates after estimated profit is

$28.592 + (10% of $28.592)

= $28.592 + $2.8592

= $31.4512

Hence, the revised bill rate, rounded to the nearest cent is $31.45.

5 0
3 years ago
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