In an if-then statement,a. the clause following “if” is called theb. the clause following "then” is called the

Answer:

D.) y = 2x + 2

Step-by-step explanation:

First, we need to find the slope.

Lets use the points (0, 2) and (-2, -2).

Using the formula for calculating slope, we get 2 as our slope.

Since the equation should be in slope-intercept form, we use this formula.

y = mx + b

We'll use our first point (0, 2) to substitute for x and y and use 2 to substitute for m (slope):

2 = 2(0) + b

2 x 0 = 0

2 = 0 + b

-0 = -0

= 2 = b

Now, substitute b for 2 for 2 for m.

= y = 2x + 2.

Hope this helps!

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Answer:

(4,5)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

If the base and the negative exponent is in the denominator already

Step-by-step explanation:

Normally, a base with a negative exponent moves to the denominator.

Example: (2^-3 = 1 / (2)^3 = 1/8)

However, if the base and the negative exponent is already in the denominator, the base would move to the numerator and the exponent would become positive.

Example:  2 / (3)^-3 = 2 * 3^3 = 2 * 27 = 54

Here, Angle 1 and angle 2, Angle 4 and angle 3 and Angle 7 and angle 5 are supplementary angles.

We need to identify which angle pairs are supplementary.

Supplementary angles are two angles with a sum of 180°.

Here, Angle 1 and angle 2, Angle 4 and angle 3 and Angle 7 and angle 5 are supplementary angles.

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Answer:

3260

Step-by-step explanation:

yeah ok

Answer:

A

Step-by-step explanation:

Y = ax2 +bx + c

supone que este número es sustituido por la letra m

(3xm) -28 = 89

tenemos que sumar 28 en los dos lados

3xm = 117

para saber que numero es m tenemos que dividir por 3 los dos lados

m = 117/3

m = 39

We must look at each equation's characteristics and relate them to the characteristics of the graphs in order to match the parametric equations with the labelled graphs I–VI.

(A) As t increases, the parabola shifts away from the y-axis and increases quickly. The y-axis is where the symmetry lies.

(b) The curve is a parabola that begins at the centre and expands upward.

(c) The curve has a sharp x-direction oscillation and a y-direction oscillation.

(d) The slope oscillates quickly in one direction (the x-axis), but more slowly in the other.

(e) The trajectory travels in the direction of positive y while oscillating in the x-direction.

(f) As the trajectory deviates from the center, it oscillates.

Therefore, the matching is:

(a) III

(b) I

(c) IV

(d) V

(e) II

(f) VI

This question is incomplete without a graph. Please see the graph to get a better understanding of question.

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9514 1404 393

Answer:

Step-by-step explanation:

Let m and v represent Mariya's and Vikram's agess now.

  m + 6 = v . . . . . . in 6 years Mariya will be as old as Vikram is now

  (v +2) = 3(m +2) . . . . in 2 years, Vikram will be 3 times Mariya's age

Using the first equation to substitute for v in the second equation, we have ...

  m +6 +2 = 3m +6

  2 = 2m . . . . . subtract m+6

  1 = m

Mariya is 1; Vikram is 1+6 = 7.

1) Note that the angles on the North Side of the Intersection are described as follows:

a) ∠z and ∠x are Supplementary

b) ∠y and ∠x are also are Supplementary

c) ∠65° ≅ ∠x because they are opposite angles

2) Davis Avenue and Rock Island Road are perpendicular. The measures of the four angles formed by the intersection of these two roads are 90° each.

4) a) The measure of ∠A = 25°
b) The relationship between Memorial Boulevard and Rock Island Road is that they are perpendicular to one another.

A supplementary angle is an angle that, when added to another angle, results in a sum of 180 degrees. Since ∠z and ∠x are angles on a straight line and ∠y and ∠x are also angles on a straight line, and angles on a Straightline sum up to 180°, therefore:

1) ∠z and ∠x, as well as ∠y and ∠x are all Supplementary angles respectively.

2) Davis Avenue and Rock Island Road are perpendicular. The measures of the four angles formed by the intersection of these two roads are 90° each. When two lines intersect at a point and each of these lines bisects the other, they form four angles of equal measure. These angles are all 90 degrees, so the angles formed by two lines that bisect one another are 90 degrees on each side.

4)
a) The measure of ∠A = 25° this is because
ΔPNA = Right Angled Triangle (See attached Image)
The sum of angles in a Triangle = 180°

Since m∠P = 65° -  Given

m∠N = 90°

Thus,
m∠A = 180 - 90 - 65

m∠A = 25°

b) The relationship between Memorial Boulevard and Rock Island Road is that they are perpendicular to one another. This is because they both create a 90 degree angles between each other.

Perpendicular lines are two lines that intersect at a right angle (90 degrees). This means that the lines form four angles at the point of intersection, and each of these angles measures 90 degrees.

Note that perpendicular lines can be found in many different contexts, such as in geometry, engineering, and architecture. In two-dimensional geometry, perpendicular lines are often represented by the symbol ⊥.

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Answer:

(-1, -4.8)

Step-by-step Explanation:

Let the point be P, which is 3/10 of the way from A to B. This means, it divides P into AP and PB in the ratio, 3:10 = AP/PB = 3/10.

Apply the formula for internal division to find the coordinates which is given as:

\( x = \frac{mx_2 + nx_1}{m + n} \)

\( y = \frac{my_2 + ny_1}{m + n} \)

Where,

\( A(-4, -8) = (x_1, y_1) \)

\( B(9, 6) = (x_2, y_2) \)

\( m = 3, n = 10 \)

Plug in the necessary values to find x and y coordinates for point P

\( x = \frac{mx_2 + nx_1}{m + n} \)

\( x = \frac{3(9) + 10(-4)}{3 + 10} \)

\( x = \frac{27 - 40}{13} \)

\( x = \frac{-13}{13} \)

\( x = -1 \)

\( y = \frac{my_2 + ny_1}{m + n} \)

\( y = \frac{3(6) + 10(-8)}{3 + 10} \)

\( y = \frac{18 - 80}{13} \)

\( y = \frac{-62}{13} \)

\( y = \frac{-62}{13} \)

\( y = -4.8 \)

The coordinates of the point 3/10 of the way from A to B are (-1, -4.8)

Answer:

(0.2,-2.3)

Step-by-step explanation:

Answer:

One side - 15 feet

Second side - 4 feet

Third side - 13 feet

Step-by-step explanation:

Let's call the sides A B and C, respectively.

We know that:

A = B + 11

C = B + 9

and that

A + B + C = 32

Please note that we have 3 equations and 3 unknowns. We can solve this, we'll use substitution.

A + B + C = (B + 11) + B + (B + 9) = 32

3B + 20 = 32

3B = 12

B = 4

The sides have lengths of 4+11 = 15, 4 and 4+9 = 13. This is in fact a proper triangle (because the shorter sides add up to more than the longer side).

Answer:

Since 1/3 and -1/3 have the exact same denominators and numerators they will divide into 1. But since one of the number are negative, that means your answer switches to be negative 1

-1 is the answer

Step-by-step explanation:

Answer:

6. Quadrant four

7. Quadrant three

8. Quadrant one

Step-by-step explanation:

These questions give you points to graph and then asks which quadrants they are graphed in. Here is a visual.

Answer:

26190 meters

Step-by-step explanation:

The distance moved by a glacier = 29.1 meter per day

For 100 days, the distance moved = 29.1 meter per day * 100 days = 2910 meters

For 1000 days, the distance moved = 29.1 meter per day * 1000 days = 29100 meters

Therefore the distance farther  it move in 1,000 days than it will move in 100 days = distance moved in 1000 days - distance moved in 100 days

farther distance = 29100 meters - 2910 meters = 26190 meters

We will find that the glacier moves 10 times more in 1,000 days than in 100 days.

We know that the glacier moves about 29.1 meters per day.

Then we need to find how much it moves in 1,000 days and in 100 days, we will get:

To find how much farter the glacier moves in 1,000 days than in 100 days we need to take the quotient between the above two distances:

29,100 meters/2,910 meters = 10

So the glacier moves 10 times more in 1,000 days than in 100 days.

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The probability that all 4 computers with the critical file fail in this incident

P(x=4)=0.00085

This is further explained below.

Generally,  is  mathematically given as

\($H \rightarrow(n, m)$\)

p.d.F. of Hyper Geometric distribution

given, $N=39, n=4, M=8, x=4$

\(\begin{aligned}P(x=4) &=\frac{8}{4} \frac{39}{39} \\&=\frac{70 \times 1}{82251}\end{aligned}$$\)

\(\begin{aligned}&P(x=4)=8.5106 \times 10^{-4} \\&P(x=4)=0.00085\end{aligned}\)

In conclusion, P(x=4)=0.00085

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ACF is a 30º-60º-90º triangle because of the following:

1) Based on a theorem, in a 30°-60°-90° triangle the sides are in the ratio 1 : 2 : \(\sqrt{3}\)

1 → short leg

2 → hypotenuse

\(\sqrt{3}\) → long leg

Side length of the hexagon is the short leg of the triangle. It is 1.

r1 is the radius of the incircle in a regular hexagon. 2(r1) is the diameter of the incircle. It is also the hypotenuse of the right triangle. It is 2.

Using Pythagorean theorem.

\(a^2 + b^2 = c^2\)

\(1^2 + b^2 = 2^2\)

\(b^2 = 2^2 - 1^2\)

\(b^2 = 4 - 1\)

\(b^2 = 3\)

\(\sqrt{b^2} = \sqrt{3}\)

\(b = \sqrt{3}\)

Answer: t<40

8p+<184

Step-by-step explanation:

The inequalities representing the given condition will be \(t\leq40\) and \(8p+t\leq184\).

Given information:

A baker makes apple tarts and apple pies each day.

The baker receives a shipment of 184 apples every day.

A tart requires 1 apple and a pie requires 8 apples.

Let t be the number of tarts made each day and p be the number of pies made each day.

The baker makes no more than 40 tarts per day. So, the condition can be written as,

\(t\leq40\)

And the condition for each day apple delivery can be written as,

\(8p+t\leq184\)

Therefore, the inequalities representing the given condition will be \(t\leq40\) and \(8p+t\leq184\).

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Answer:

square, parallelogram, rectangle, rhombus

Step-by-step explanation:

Considering the answer choices:

Square

Regular pentagon

Parallelogram

Rectangle

Rhombus

It can't be a pentagon because it only has four sides.

Properties of the shapes:

Rectangle - quadrilateral with two sets of congruent opposite sides and four right angles.

Rhombus - quadrilateral with four congruent sides.

Square - quadrilaterals with all properties of rectangles and rhombi.

Parallelogram - rectangles, rhombi, and squares are parallelograms.

This shape satisfies the properties of a square, meaning it is also a rectangle, rhombus, and parallelogram.

Answer:

he should have 390 books now

a. Inequality that expresses the mean number of steps that Diego needs to walk during the last 3 days of this week to walk more than 70,000 steps:

\(\dfrac{4(8019)+3x}{7} > 70,000\) where x is the number of steps

b. \(\dfrac{4(8019)+3(12,642)}{7} > 70,000\)

\(70,002 > 70,000\)

Therefore the answer to part b will be YES.

Answer:about 19

Step-by-step explanation:

The number isn’t whole but its close to that

The length of Marisa's garden is 10

The given parameters are:

Perimeter = 32 feet

Width = 6 feet

The perimeter is calculated as:'

Perimeter = 2 * (Length + width)

So, we have

2 * (Length + 6) = 32

Divide by 2

Length + 6 = 16

Subtract

Length = 10

Hence, the length of Marisa's garden is 10

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Answer:

rate of change

Step-by-step explanation:

The rate of change (ROC) is the speed at which a variable changes over a specific period of time.

Answer:

16

Step-by-step explanation:

Answer:the answer is 16

Step-by-step explanation:

JUST ADD