Use a table to find (x+3)(x+2).

Verify the equation :

solve:

Use the formula :

Use the formua:

ANSWER

B. False

EXPLANATION

The Pythagorean Theorem states that the sum of the squares of the two legs of a right triangle, a and b, is equal to the square of the hypotenuse, c:

And this theorem is true for all right triangles.

Hence, this statement is false.

From the given figure

Since every two opposite sides are parallel

AB // DC

AD // BC

Then the given quadrilateral is a parallelogram

ABCD is a parallelogram

From the properties of the parallelogram,

Every 2 opposite sides are equal in length, then

AB = DC

AB = x + 2, and DC = 13, then

x + 2 = 13

Subtract 2 from both sides to find x

x + 2 - 2 = 13 - 2

x = 11

Since the opposite angles in the parallelogram are equal in measures

Since

m

Since m

y = 70

The value of x is 11 and the value of y is 70

The equation is

x = 5

The equation of a line is given as:

Where m is the slope and b is the y-intercept.

Given the points (5, 2) and (5, -7)

The slope is:

The slope is infinite, then the equation is:

Answer:

Explanation:

Given the below polynomials expression;

The 1st step to solving the above is to clear the brackets while minding the signs as shown below;

The 2nd step is to group like terms;

Let's go ahead and evaluate;

Let x=

1) Gathering the data

Ginny

Best pumpkin: 22 pounds

The growing rate of 2.5 pounds per week

Martha

Best pumpkin: 10 pounds

The growing rate: 4 pounds per week

Let x for the growing rate and y for the weight

2) Setting equations

Ginny's equation

2.5x=22

Martha's equation: ​

4x=10

Answer:

Explanation:

Given the inequality:

Subtract 5 from both sides of the inequality.

(a)The solution to the inequality is x ≥ 0.

(b)Since the inequality sign is "greater than or equal to", the circle at 0must be shaded and the arrow pointing towards the right.

The correct graph is attached below:

The second and third options are correct.

If we need 48 onces of juice for making 3 gallons of punch we can write our problem like:

where x is the juice needed to made 9 gallons of punch, so we can made a rulo of 3 to find x

So we need 144 ounces of juice to made 9 gallons of punch

Solution

Circumcenter Theorem

The vertices of a triangle are equidistant from the circumcenter.

The perpendicular bisectors intersect in a point and that point is equidistant from the vertices.

Any point on the perpendicular bisector of a segment is equidistant from the endpoints of the segment.

Therefore, YO and ZO is 22mm( By the transitive property)

The initial flat rate that bike rental service charges is $19.70

The additonal charges per hour is $5.60.

Let x be the number of hour.

The equation formed is

The y-intercept is determined by substituting x=0.

Hence the y -intercept is 19.70 dollar.

PROJECT WORK:

Assumption:

For the given cone, assuming

Slant height of cone is calculated as,

Required:

Surface area and volume of cone.

Explanation:

The surface area of cone is given as,

Volume of cone is calculated as,

Answer:

Thus the volume of the cone is 1256 cu.m.

The surface area of the cone is 804.468 sq.m.

A store pays $62 and they mark up the price by 0.4 of the price:

Given the angle -560

The coterminal angle will be:

So, the answer will be 160

a) given equation is,

b) the given equation is

The number 14.235 would round down to 14.2

Rounding some number to a specific value is making its value simpler (therefore losing accuracy), mostly done for better readability or accessibility.

Rounding to some place keeps it accurate on the left side of that place but rounded or sort of like trimmed from the right in terms of exact digits.

We need to round  14.235 to the nearest tenth, hundredth, one and ten

We can see that the 35 is below 50 so it goes down, and it rounds down to 14.2 instead of, 14.62 then that would round up to the decimal is higher than 50.

Since it is 235, then it rounds down to 14.2

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The explanation goes as contained below.

The shape is a cube and for a cube all sides are equal,

from the question the Area of just one side is :

Answer:

3 degrees

Explanation:

Using the theorem that states that the measure of the angle at the circumference is equal to the half of its intercepted arc. Hence;

31x+ 3 = 1/2(192)

31x + 3 = 96

Subtract 3 from both sides

31x + 3 - 3 = 96 - 3

31x = 93

Divide both sides by 31

31x/31 = 93/31

x = 3

Hence the value of x is 3 degrees

Given the formula:

Let's solve for A when the value of s is = 2.50

To solve the equation, substitute 2.50 for s and evaluate.

Thus, we have:

Solving further:

Therefore, when the value of s is 2.50, the value of A is 37.5

ANSWER:

37.5

To answer this question, we can use the standard normal distribution to find the asked percentiles. We will need the z-scores to find the values for them.

The z-scores are given by the formula:

Where

• x is the raw value (the one we need to find here)

• μ is the population's mean. In this case, μ = 1.75 Mgal.

• σ is the population's standard deviation. In this case, σ = 2.82 Mgal.

The 86th percentile represents the value for which 86% of the cases are less than this value, and, therefore, 14% are above this value.

Then we can find it, if we know the value for which, z, in the standard normal table, represents the cumulative probability (0.86) for the distribution. If we consult the table, we have:

Therefore, the value for z is, approximately, z = 1.08, and we can use this value to find the value for x (the 86th percentile, in this case):

Therefore, the 86th percentile, if we round the value to two decimal places, is, approximately, x = 4.80.

We can apply the same procedure as before. Then we have:

Then we have:

If we round the result to two decimal places, we have that the 28th percentile is x = 0.11 (approximately).

The third quartile is equivalent to the 75% percentile. Then we can use the same process as before to find the value of z that represents it as follows:

And we can apply the same formula as before:

If we round this value to two decimal places, we have x = 3.65 (approximately).

General equation of a parabola:

Equation of the axis of symmetry:

x = h

In this case, the axis of symmetry is x = 2, then h = 2.

Equation of the directrix:

y = k - p

In this case, the equation of the directrix is y = -9/4, then:

-9/4 = k - p (eq. 1)

Equation of the focus:

F(h, k+p)

In this case, the coordinates of the focus are (2,-7/4), then:

-7/4 = k + p (eq. 2)

Adding equation 1 to equation 2:

-9/4 = k - p

+

-7/4 = k + p

--------------------

-4 = 2k

(-4)/2 = k

-2 = k

Substituting this result into equation 2 and solving for p:

-7/4 = -2 + p

-7/4 + 2 = p

1/4 = p

Substituting with h = 2, k = -2, and p = 1/4 into the general equation, we get:

Jahna, this is the solution:

As you can see in the graph, the independent variable (Time) belongs on the x-axis and the dependent variable (Distance) belongs on the y-axis.

Therefore, the statement that is correct is:

B. The time values are the independent quantities and the distance values are the dependent quantities.

All numbers in scientific notation or standard form are written in the form

where m is a number between 1 and 10 and the exponent n is a positive or negative integer.

To convert 64500 into scientific notation, follow these steps:

1. Move the decimal 4 times to left in the number so that the resulting number, m = 6.45, is greater than or equal to 1 but less than 10

2. Since we moved the decimal to the left the exponent n is positive

n = 4

3. Write in the scientific notation form, m × 10^n

= 6.45 × 10^4

Writing the slope-intercept form of a linear equation, we have:

Where m is the slope and b is the y-intercept.

Since parallel lines have the same slope, we can see that the slope of the line y = 2/3x + 1 is equal m = 2/3, so for our equation we also have m = 2/3.

Now, using the point (0, -4), we have:

So our equation is:

y = 2/3x - 4

ANSWERS

• Graph:

• Interval notation: ,[-4, ∞)

EXPLANATION

The set is all x greater than or equal to -4. The value -4 is included in the interval, so we have to draw a dot and then a line from the dot to infinity.

When a value is included in the interval, we use the start or end bracket. For infinity or negative infinity, we always use parenthesis. To represent this set in interval notation we have to use a bracket, number -4, a comma, infinity, and a parenthesis: [-4, ∞)

what is the value of b -a if a=18, b=27,and c= 11​

we have

(b-a)

so

For a=18 and b=27

substitutte in the given expression

(27-18)=9

therefore

In this scenario, there are only 2 possible outcomes. It is either the answer is correct or wrong.Since the outcomes are independent, it means that it is binomial probability. We would apply the binomial distribution formula which is expressed as

P(x) = nCx * p^x * q^(n - x)

where

n is the sample size

x is the number of successes

p is the probability of success

q = 1 - p = probability of failure

From the information given,

p = 1/4 = 0.25

q = 1 - 1/4 = 3/4 = 0.75

n = 12

x = 5

We want to find P(x = 5)

P(x = 5) = 12C5 * 0.25^5 * 0.75^(12 - 5)

P(x = 5) = 0.103

The probability that among 12 test subjects, exactly 5 answers are correct is 0.103

l

We have been given a figure and we need to find its area.

To determine the area we will divide the figure into known shapes. From the division into shapes, we have a square and a trapezoid.

Given the first term is 3 and the last term is 39.

Recall that the sum is given as:

Substituting in the above equation gives:

Therefore, option (a) is correct.

Given: Beth and Bryce sign on a $205,000 mortgage at a 5% annual interest rate for 30 years. This results in a monthly payment of $1100.48.

Required: To find the amount of interest she paid in month 1 and the amount toward reducing the balance.

Explanation: The monthly payment gets divided into two parts- One goes into the loan repayment and the other for the loan's interest.

The interest payment is based on the interest rate, which is 5%.

The monthly interest is:

The amount that goes towards reducing her balance is:

Final Answer: Interest in month 1 = $854.17

Their balance is reduced by $246.31

The equivalent expression will be;

⇒ ''negative one eighteenth times x plus 3''

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The algebraic expression is,

''Sixth times the quantity 4 times x plus 18 end quantity minus 13 over 18 times x''

Now,

Since, The algebraic expression is,

''One sixth times the quantity 4 times x plus 18 end quantity minus 13 over 18 times x''

Hence, The mathematical expression is,

⇒ 1/6 (4x + 18) - 13/18x

⇒ 4/6x + 3 - 13/18x

⇒ 12/18x - 13/18x + 3

⇒ - 1/18x + 3

Thus, The equivalent expression is,

''negative one eighteenth times x plus 3''

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