Which of the following correctly completes the square for the equation below x2+2x=19A: (x+1)^2=23
B:(x+2)^2=20
C:(x+1)^2=20
D:(x+2)^2=23

Answers

Answer 1

Answer: answer is C:(x+1)^2=20

x2 + 2x = 19
x2 + 2x + 1 = 19 + 1
(x + 1)^2 = 20

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If you and a friend each toss two pennies at the same time, what is the probability that all four pennies will be tails?A. 1/2B. 1/4C. 1/8D. 1/16E. 1/32

Which statements are true? Check all that apply.The equation |–x – 4| = 8 will have two solutions.

The equation 3.4|0.5x – 42.1| = –20.6 will have one solution.

The equation = 0 will have no solutions.

The equation |2x – 10| = –20 will have two solutions.

The equation |0.5x – 0.75| + 4.6 = 0.25 will have no solutions.

The equation = 5 will have infinitely many solutions.

Answers

Using a graph tool

Let's proceed to analyze each case

case a) The equation $|-x- 4| = 8$ will have two solutions

Is true

The solutions are

$x=-12\n x=4$

see the attached figure N $1$

case b) The equation $3.4|0.5x- 42.1| = -20.6$ will have one solution

Is False

The equation has no solution

The term $3.4|0.5x- 42.1|$

always will be positive

case c) Is not a equation

case d) The equation $|2x- 10| = -20$ will have two solutions.

Is False

The equation has no solution

The term $|2x- 10|$

always will be positive

case e) The equation |0.5x – 0.75| + 4.6 = 0.25 will have no solutions.

Is True

The left side of the equation always will be greater than or equal to $4.6$

case f) The equation = 5 will have infinitely many solutions.

Is not a equation

therefore

the answer is

case a) and case e) are true

Kirby places frog and Beth's snail on point 0 in on the number line. As Beth's snail slowly slimed forward in the positive direction, Kirby's frog hopped in the opposite direction. By the time Beth's snail reached the number 2, Kirby's frog me four jumps, each 3 units long. How far apart are the snail and the frog at this point?

Answers

That picture doesn't have anything to do with the problem.

Snail went right, into positive numbers, frog went left, negative numbers. Their distance is the absolute difference.

d = | 2 - 4(-3) | = | 14 | = 14

Answer: 14

A candy store keeps track of its sales during the month of October. Below is the number of sales for the first, second, third and fourth week of the month. Week 1 ; 2 ; 3 ; 4
Candy Sales 97 ; 168 ; 259 ; 375

Which graph could represent the data shown below?

Answers

The graph of the given values is required.

Option B is correct.

The points are

$(1,97)[tex]</p><p>[tex](2,168)$

$(3,259)$

$(4,375)$

Let us find if the points are in the form of a line by finding the slope.

$(168-97)/(2-1)=71$

$(259-168)/(3-2)=91$

$71\neq 91$

So, the function is not linear.

Therefore, A and C are incorrect.

Also the function is not decreasing so option D is also eliminated.

Hence, option B is correct.

Learn more:

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From the attached diagram you can see that regression that best fits given data is quadratic (not linear).

option 1 is false, because it gives linear regression;
option 2 is true, it gives graph, similar to quadratic parabola;
options 3 and 4 are false, because graphs are decreasing.

Answer: correct choice is B.

B1 of a trapezoid in which A 48x+68 in, h 8 in, and b2 9x+12 in

Answers

A=h(b1+b2)/2, so 48x+68=8(9x+12+b1)/2. Then, dividing by 4, 12x+17=9x+12+b1. Subtracting 9x+12, we have that b1=3x+5.

O is the center of the circle. Assume that lines that appear to be tangent are tangent. What is the value of x?

Answers

Answer:

$\boxed{\boxed{x^(\circ)=78^(\circ)}}$

Step-by-step explanation:

Given that, O is the center of the circle and PQ is a tangent to the circle at point Q. OQ is a radius of the circle.

We know that, a tangent to a circle is a line which just touches the circle. And the angle between the tangent and radius is 90°.

Hence, ΔOQP is a right angle triangle. We know that the sum of the measurements of all the 3 angles of a triangle leads to 180°. So,

$\Rightarrow m\angle O+m\angle Q+m\angle P=180^(\circ)$

$\Rightarrow x^(\circ)+90^(\circ)+12^(\circ)=180^(\circ)$

$\Rightarrow x^(\circ)=180^(\circ)-90^(\circ)-12^(\circ)=78^(\circ)$

Angle q is right angle so you would first do 12+90=102 then you would do 180-102=78 so x=78

1. How many centimeters are there in meter? a. 1
b. 10 c. 100
d. 1000 e. 10000

Answers

There are 100 centimeters in one meter, the correct option is (C) 100

A meter is a unit of length in the International System of Units (SI) that is used to measure distance or length. One meter is defined as the distance traveled by light in a vacuum during a time interval of 1/299,792,458 of a second.

A centimeter, on the other hand, is a smaller unit of length in the SI system.

1 centimeter = 1 / 100 meter

One centimeter is equal to one-hundredth of a meter,

Therefore, the conversion factor = 100

Which means that there are 100 centimeters in one meter.

Therefore, the correct option is (C) 100

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