Which equation has the same solutions as 2x2 + x - 3=0?
(1) (2x - 1)(x + 3)=0
(2) (2x + 1)(x - 3)= 0
(3) (2x - 3)(x+1)=0
(4) (2x + 3)(x - 1)=0

Answer:

y - 1 = 3/2(x - 4)

Step-by-step explanation:

plug in the given(known) x and y coordinates into the point-slope form:

=> y - 1 = 3/2(x - 4)

Answer:

radius is 9

Step-by-step explanation:

radius is half the diameter which is 18  and half of 18 is 9

Answer:

1400

Step-by-step explanation:

hope that helps <3

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Explanation:

The arc measures shown are 138 and 58. Subtract the arc measures and divide by 2 to get the answer

(138-58)/2 = 80/2 = 40 degrees

The general formula is

(A - B)/2

where A and B are the arc measures. The value of A is always the larger arc measure. This formula works for two secant lines as this diagram shows, and it also works for a secant line and tangent line, and lastly it works if both lines were tangent.

Answer:

y = 1

Step-by-step explanation:

The midline of h(x) = 2 cos(7x + 5) is y = 0.

The graph of g(x) = 2 cos(7x + 5) + 1 is the same, except that the entire graph of h(x) is translated up by 1 unit.

Thus, the midline of g(x) = 2 cos(7x + 5) is y = 1.

Answer:

The maximum height of the ball is: 14.0625ft

Step-by-step explanation:

The missing information is:

[tex]h(t) = 30t - 16t^2[/tex]

Required

The maximum height the ball attained

First, we calculate the time to reach the maximum height.

For a function: [tex]h(t) = at^2 + bt + c[/tex]

The maximum is: [tex]t = \frac{-b}{2a}[/tex]

So, the maximum of [tex]h(t) = 30t - 16t^2[/tex] is:

[tex]t = \frac{-b}{2a}[/tex]

Where

[tex]a = -16; b = 30[/tex]

So:

[tex]t = -\frac{30}{2*-16}[/tex]

[tex]t = -\frac{30}{-32}[/tex]

[tex]t = \frac{30}{32}[/tex]

[tex]t = 0.9375[/tex]

The maximum height is then calculated as:

[tex]h(t) = 30t - 16t^2[/tex]

[tex]h(0.9375) = 30 * 0.9375- 16 * 0.9375^2[/tex]

[tex]h(0.9375) = 28.125- 14.0625[/tex]

[tex]h(0.9375) = 14.0625[/tex]

Answer:

Step-by-step explanation:

a). Points on a number line are,

    x = -7, 1

    Number of small blocks between x = -7 and 1 is 8.

    Distance = 8

b). Difference between two points x = -7, 1 will be,

    1 - (-7) = 1 + 7

               = 8

    -7 - 1 = -8

c). Absolute value of each difference,

    |1 - (-7)| = 1 + 7

                = 8

    |-7 - 1| = |-8|

              = 8

Hi there! You have to remember these 6 basic Trigonometric Ratios which are:

Back to the question. Assuming that the question asks you to find the cosine, sine, cosecant and secant of angle theta.

What we have now are:

Looks like we are missing the hypotenuse. Do you remember the Pythagorean Theorem? Recall it!

Define that c-term is the hypotenuse. a-term and b-term can be defined as adjacent or opposite

Since we know the value of adjacent and opposite, we can use the formula to find the hypotenuse.

Thus, the hypotenuse is:

[tex] \large \boxed{c = 2 \sqrt{61} }[/tex]

Now that we know all lengths of the triangle, we can find the ratio. Recall Trigonometric Ratio above! Therefore, the answers are:

Questions can be asked through comment.

Furthermore, we can use Trigonometric Identity to find the hypotenuse instead of Pythagorean Theorem.

Hope this helps, and Happy Learning! :)

Answer:

The number is 222

Step-by-step explanation:

The given parameters are;

The method Ashley models the 3 digit number = A mix of six base-ten blocks

The digits of the 3 digit number are equal

Therefore, given that in a 3 digit number, we have, hundreds, 100s, tens, 10s, and units, 1s, we can find the digits as follows;

Let 'x' represent the number of hundreds digits, let 'y' represent the number of tens digits and let 'z' represent the number of units digits, we have;

x = y = z...(1)

x + y + z = 6...(2)

Substituting the value of x = y, and x = z from equation (1), in equation (2), we get;

x + y + z = x + x + x = 6

∴ 3·x = 6

∴ x = 6/3 = 2

x = 2 = y = z

Therefore, the 3-digit numbers xyz = 222

Answer:

2x²−13x+21

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

37.5 meters

Step-by-step explanation:

depth of well : hours of digging

it dug to a point of -50 Meters in one day

= 50 meters : 24 hours

After 18 hours at how many meters would the rig

Let

x = depth that will be rigged

depth of well : hours of digging

= x meters : 18 hours

Equate the ratios

50 meters : 24 hours = x meters : 18 hours

50/24 = x/18

50 * 18 = 24 * x

900 = 24x

x = 900/24

x = 37.5

x = depth that will be rigged = 37.5 meters

Answer:

answer is 8

Step-by-step explanation:

hope this helps

Answer:

A. 4.4 I am doing good today

Answer:

-12 and 4

Step-by-step explanation:

-12 x 4 = 48

and

-12 + 4 = -8

Answer:

-12 and +4

Step-by-step explanation:

-12 * 4 = - 48

-12 + 4 = - 8

Answer:

120 in³

Step-by-step explanation:

10 x 4 x 3 = 120

Answer:

x= y=2

Because that's why the lines intercepts

Answer:

5) [tex]x=3,-1[/tex]

6) [tex]r=-6,-4[/tex]

7) [tex]p=2,3[/tex]

8) [tex]n=-4,8[/tex]

Step-by-step explanation:

5) [tex](x-3)(x+1)=0[/tex]

   [tex](3-3)(-1+1)=0[/tex] substitute x for a number that will make the statement true.

6) [tex](r+6)(r+4)=0[/tex]

   [tex](-6+6)(-4+4)=0[/tex] substitute r for a number that will make the statement true.

7) [tex](p-2)(p-3)=0[/tex]

   [tex](2-2)(3-3)=0[/tex]  substitute p for a number that will make the statement true.

8) [tex](n+4)(n-8)=0[/tex]

   [tex](-4+4)(8-8)=0[/tex] substitute n for a number that will make the statement true.

Answer:

Average score per game = 60,000 per game

Step-by-step explanation:

Given:

Points scored in first game = 25,000

Points scored in second game = 125,000

Points scored in third game = 30,000

Find:

Average score per game

Computation:

Average = Sum of observation / Number of observation

So,

Sum of all game = 25,000 + 125,000 + 30,000

Sum of all game = 180,000

Number of games = 3

Average score per game = 180,000 / 3

Average score per game = 60,000 per game

Answer:

x = -4

Step-by-step explanation:

-18 = 6+6x

-18 -6 = 6x

-24 = 6x

-24/6 = x

x = -4

Checking Part:

-18 = 6 + 6x

-18 = 6 + 6(-4)

-18 = 6 -24

-18 = -18

Answer:

-4

Step-by-step explanation:

Subtract 6 to get X by itself and that leaver you with - 24=6x now divide by 6 to get x=-4

Hope this helps

Answer:

x= 9

Step-by-step explanation:

85 + 2x +2 + {180 -(11x + 6) }=180 (sum of angles in a triangle)

87 + 2x + 180 - 6 -11x = 180

87 -9x - 6 = 0

81 = 9x

x= 9

Answer:

$10,080

Step-by-step explanation:

Monthly premium = $56

So, yearly premium = $56 × 12 = $672

Time period = 15 years

Now, we can calculate the total cost for 15 years period by using following formula,

Total cost = yearly premium × Time period

By putting the value, we get

Total cost = $672 × 15

= $10,080

Hence, total cost for 15 years period is $10,080.

Answer:

Step-by-step explanation:

2.CB≅CB (being common side)

3.triangle CAB≅ triangle BDC(by ASA axiom)

4.length AB≅ length CD( Given )

Answer:

D

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The formula for the sum of an infinite geometric series is

[tex]\frac{a}{1-r}[/tex]

Where a is the first term and r is the common ratio. We can see that the first term is 2, and to find the common ratio, we can divide a term by the one before it. We can get:

[tex]\frac{\frac{2}{3}}{2} =\frac{2}{3} *\frac{1}{2}=\frac{1}{3}[/tex]

Now, we have all the values need to evaluate the formula. We can plug them in:

[tex]\frac{2}{1-\frac{1}{3} } \\\frac{2}{\frac{2}{3} } \\2*\frac{3}{2}\\3[/tex]

Answer:

2.5%

Step-by-step explanation:

Given data

Profit = Euro 20,000,000

Tax paid= Euro 500,000

The percentage tax paid is

% Tax= Tax paid/Profit*100

% Tax= 500,000/20,000,000*100

% Tax=0.025*100

% Tax=2.5

Hence the percentage tax paid is 2.5%