What are the coordinates of the center and the
length of the radius of the circle whose equation is
(x + 1)² + (y – 5) = 16?
1) (1,-5) and 16
2) (-1,5) and 16
3) (1,-5) and 4
4) (-1,5) and 4

Answer:

The terminal point is (1, 0) ⇒ D

Step-by-step explanation:

In the unit circle, Ф is the angle between the terminal side and the positive part of the x-xis

In a unit circle

∵ Ф = 2π radians

→ By using the 1st rule above

∴ The terminal point is (1, 0)

Answer:

(1,0)

Step-by-step explanation:

Answer:

I have provided it below

Step-by-step explanation:

- 8/18 > - 17/27

- 0.444444 > 0.62963

So this inequality is TRUE

Hope this helps!!

Answer:

Slope of 4 is way steeper that 1/3 but they are both positive slopes.

Step-by-step explanation:

Hope this helps. Pls give brainliest.

Answer:

Kian's method is correct.

Step-by-step explanation:

Javine says, "To multiply by 1000, I just add three zeros." He is incorrect.

Kian says, "I times by 10, then times by 10 and times by 10 again. When he multiply 1 by 10, it becomes 10. Then if he again multiply by 10, it becomes 10×10 = 100. And at last when he multiply again 10, it becomes 100×10 = 1000. It means Kian's methods for multiplying by 1000 is correct.

Answer:

16 tiles

Step-by-step explanation:

Divide the length of the wall by the width of one tile.

4 / 1/4 = 4/1 * 4/1 = 16/1 = 16

Answer: 16 tiles

Answer: Q=1.79

Step-by-step explanation: Move 0.63 to the right and add both numbers then calculate it. So Q=1.79

Answer:

£4.65 is her bill

Step-by-step explanation:

Here, we firstly need to calculate the unit price of a pint

Mathematically, in this case, that will be 3.72/12 = 0.31

ordering 3 extra pints means she would be buying a total 15

The price of this will be;

0.31 * 15 = £4.65

Answer:

Simple the area is 88

Step-by-step explanation:

[tex]\left[\begin{array}{ccc}0&-1\\-3&1\end{array}\right][/tex]

-y

-2x + y

- y determinant

__________________________________________________________

[tex]\left[\begin{array}{ccc}2&0\\1&-3\end{array}\right][/tex]

2x

x-3y

- x determinant

__________________________________________________________

[tex]\left[\begin{array}{ccc}2&-1\\1&1\end{array}\right][/tex]

2x -y

x + y

-system determinant

Answer:

See below

Step-by-step explanation:

a) The vertex is (0,2) so the standard form equation is (x-0)^2=4p(y-2). Since p=1/(4a) and a=1/8, then p=1/(4(1/8))=1/(1/2)=2. This makes the equation now x^2=8(y-2). Given the focus point for a vertical parabola is (h,k+p) then the focus point is (0,2+2) which is (0,4)

b) They are both 4 units away

c) I can't solve

d) I can't solve

Answer:

69 calories

Step-by-step explanation:

Given that :

Number of calories in 28 grams = 161

9 cashews = 12 grams

Number of calories consumed :

28 grams = 161 calories

12 grams = x

Cross multiply :

28x = 161 * 12

28x = 1932

x = 69 calories

Answer:

i. 33

ii. 1488

iii. 65

Step-by-step explanation:

i. 4x² − 3y² + 5z²

Putting the values x=2, y=-1 and z=2

4(2)² − 3(-1)² + 5(2)²

4×4 − 3×(1)² + 5×(4)

(16) -  (3×1) + (20)

16 -  3+ 20

36 - 3

33

ii. 3x³ − 2x(4yz+5x²)

Putting the values x=2, y=-1 and z=2

[3(2)³ − 2×2(4×(-1)×2 + 5×(2)²)]

[3(8)³ − 2×2(-8 + 5×4)]

[3 ×512 -  2×2(-8 +20)]

[1536 - 4(12)]

[1536 - 48]

1488

iii. 1−4x(yz+3xy)

Putting the values x=2, y=-1 and z=2

[1 - 4 × 2((-1)×2 + 3×2×(-1))]

[1- 8(-2 + (-6))]

[1- 8 (-2 -6)]

[1 - 8(-8)]

[1 +64]

65

Answer:

33.75 red counters

Step-by-step explanation:

Given the ratio of the  red counters to  blue counters as 5:4. The total ratio will be 5 + 4 = 9

If there are 27 blue counters in the bag, the total amount of counters there will be gotten using the expression;

4/9 * x = 27

x is the total counter in the bag.

4x/9 = 27

4x = 9*27

x = (9*27)/4

x = 60.75

The amount of red counters there will be

red counters = Total - blue counter

red counter = 60.75 - 27

red counter = 33.75 red counters

Answer:

OLD

Step-by-step explanation:

Answer:

4.543 billion years

Step-by-step explanation:

Answer:

I think it’s 5/-12

Step-by-step explanation:

Not sure but steps below

ΔHKJ and ΔLNP are similar triangle due to equal pair of corresponding angles .

Similar triangles are defined as two triangles with the same shape, equal pair of corresponding angles, and the same ratio of the corresponding sides.

Given,

m∠H = 30°

m∠J=50°

m∠P=50°

m∠N=100°

In triangle ΔHKJ

m∠H = 30°

m∠J=50°

m∠K= 180°- (m∠H+m∠J) = 180°-(30°+50°)

m∠K= 100°

In ΔHKJ and ΔLNP,

m∠J = m∠P= 50°

m∠K= m∠N= 100°

According to Angle-Angle (AA) rule, two triangles are said to be similar if two angles in one particular triangle are equal to two angles of another triangle.

Thus, ΔHKJ and ΔLNP are similar triangle due to equal pair of corresponding angles.

Hence, ΔHKJ ~ ΔLNP

learn more about similar triangle

https://brainly.com/question/25882965

Given :

cos x = 1.7/2 .

Also, x is an acute angle.

To Find :

The value of angle x.

Solution :

cos x = 1.7/2

Applying cos inverse both the sides, we get :

[tex]cos ^{-1} (cos\ x ) = cos^{-1} \dfrac{1.7}{2}\\\\x = cos^{-1} \dfrac{1.7}{2}[/tex]

Calculating the value of  [tex]cos ^{-1} \dfrac{1.7}{2}[/tex] from calculator, we get :

x = 31.79°

Therefore, the acute angle x is 31.79°.

Answer:

JK ≅ MN

Step-by-step explanation:

SAS states that any two sides of the angle and the angle itself, if , of two triangles are equal the two triangles are equal.

It is given that  ∠J ≅ ∠M and JL ≅ MR   i.e an angle and a side are equal. We need one more side to prove that the two triangles are equal.

If we look at the diagram closely we see that the angles J and M are formed by the sides JK & JL  and MN& MR.

It is given that JL ≅ MR  so we are left with JK ≅ MN

The additional information needed prove that ΔJKL ≅ ΔMNR by SAS Congruence Theorem is: D. JK ≅ MN

Recall:

The image attached below shows ΔJKL and ΔMNR where we are given the following:

∠J ≅ ∠M (one pair of congruent angles).

JL ≅ MR (one pair of congruent sides).

Therefore, the additional information needed prove that ΔJKL ≅ ΔMNR by SAS Congruence Theorem is: D. JK ≅ MN

Learn more about the SAS Congruence Theorem on:

https://brainly.com/question/2644126

Answer:

2:1 I think heheheheeh

Step-by-step explanation:

lol

Answer:

c. 14

Step-by-step explanation:

Let the missing y value be y2.

If the data represent a linear function, then:

[tex] \frac{6 - 2}{2 - 1} = \frac{y_2 - 6}{4 - 2} [/tex]

[tex] \frac{4}{1} = \frac{y_2 - 6}{2} [/tex]

[tex] 4 = \frac{y_2 - 6}{2} [/tex]

Multiply both sides by 2

[tex] 4 \times 2 = \frac{y_2 - 6}{2} \times 2 [/tex]

[tex] 8 = y_2 - 6 [/tex]

Add 6 to both sides

[tex] 8 + 6 = y_2 - 6 + 6 [/tex]

[tex] 14 = y_2 [/tex]

The missing value is 14

15 plus 4 times 2Step-by-step explanation:

38

Answer:

2.5 hrs

Step-by-step explanation:

4x2.5=10

2x2.5=5

10+5=15

:)

Answer:

It can crawl 24 inches in 1 minute.

Step-by-step explanation:

1. We know 1 ft = 12 in, so 120 ft = 1,440 in.

2. If the turtle can crawl 1440 inches in 1 hour, that's equivalent to crawling 1440 inches in 60 minutes.

3. we can write this as a fraction and then multiply the denominator 60 by itself to find how many inches per minute the turtle can crawl.

4. 1440/60 ×60/60 =24/1

Answer:

so the equation would be

u+t+h=12

lets break it down

we know that t is equal to

h+ 2

and we know that u is equal to

h+t

okay so first we need to focus on finding one of the units then we can find the next ones

so lets find h first,

with the equations we found h is involved in all of them so we can use them in the equation that equals 12 ( ill make it easier for you and make all of the units equal to their equation including h)

u= h+t

h+2=t

t= h+2

h=h

u= h+h+2

so lets put it together

(h+h+2)+(h)+(h+2)=12

4h+4=12

    -4  -4

4h=8

/4   /4

h=2

okay now using our other equations lets find t and u

h+2=t

2+2=t

4=t

h+t=u

2+4=u

6=u

now lets check our answers

u+t+h

6+4+2=12

10+2=12

12=12

so now that we know the values lets put them into their places in the number

uth

u=6

t=4

h=2

642 is your number

if you need anymore clarification just ask or help with another problem

Step-by-step explanation:

Question:

Which two fractions are equal to 2?

A .1/2      B.2/4      C.2/1     D.2/2     E.4/2

Answer:

C.2/1     and E.4/2

Step-by-step explanation:

Required

Determine equivalent of 2

To do this, we simply evaluate each option

A .1/2      

[tex]\frac{1}{2} = 0.5[/tex]

B.2/4      

[tex]\frac{2}{4} = 0.5[/tex]

C.2/1    

[tex]\frac{2}{1} = 2[/tex]

D.2/2    

[tex]\frac{2}{2} = 1[/tex]

E.4/2

[tex]\frac{4}{2} = 2[/tex]

From the calculations above:

Options (c) and (e) are equivalent to 2