On the map of an amusement park on a coordinate grid, the skating rink is at (−1.5, −1).Coordinate grid shown from negative 3 to positive 3 on x-axis and negative 3 to positive 3 on y-axis. There are increments of 1 over 2 for each grid line on each of the two axes. Only the whole numbers are labeled on either side of the axis.

Which of these shows how to plot the point to mark the skating rink?

From the origin, move 1.5 units to the left along the x-axis and 1 unit vertically down, and place the point.
From the origin, move 1 unit to the left along the x-axis and 1.5 units vertically down, and place the point.
From the origin, move 1 unit to the right along the x-axis and 1.5 units vertically down, and place the point.
From the origin, move 1.5 units to the right along the x-axis and 1 unit vertically down, and place the point.

Answers

Answer 1
Answer:

Answer:

The correct option is 1.

Step-by-step explanation:

It is given that the skating rink is at (−1.5, −1).

Here, x-coordinate is -1.5 and y-coordinate is -1.

In a point P(a,b),

If a>0, then the point P is a units right from the origin and if a<0, then the point P is a units left from the origin.

If b>0, then the point P is b units up from the origin and if b<0, then the point P is b units down from the origin.

It the given point (-1.5, -1), a=-1.5 and b=-1 both are negative.

From the origin, move 1.5 units to the left along the x-axis and 1 unit vertically down, and place the point.

Therefore the correct option is 1.

Answer 2
Answer: The first option is correct.

Moving 1.5 units to the left (or -1.5 units to the right).
Moving 1 unit down (or -1 unit up).

Therefore you get the result of (-1.5, 1) as is the location of the rink.

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Draw a Punnett square of an Ss x ss cross. The S allele codes for long stems in pea plants and the s allele codes for short stems. If S is dominant to s, what percentage of the offspring would you expect to have each phenotype?

Tina wants to save money for school. tina invests $400 in an account that pay an interest rate of 7.5%. How many years will it take for the account to reach $8500? Round your answer to the nearest hundredth.

Answers

Here's the given:
P=$400
i=7.5%
A=$8500

The formula used for this problem is:
A = P(1+i)^t

Manipulating the equation to arrive at t, we have:
t = ln(A/P) / ln(1+i)

Plugging in values:
t = ln($8500/$400) / ln(1+0.075)
t = 42.26 years

In the diagram below, the measure of angle XAY is 72° (m∠XAY = 72°). Since the measure of the intercepted arc XY is 144°, a student named Naomi mistakenly claims that the measure of ∠XBY is also 144°.a. In a short paragraph, explain the source of Naomi’s error. In your response, be sure to describe the problem in terms of the following two formulas:

inscribed angle = 1/2 · (intercepted arc) and
intercepted arc = central angle.

Be sure to use important vocabulary like “inscribed angle,” “central angle”, and “intercepted arc”.

Answers

Answer:

Angle of the intercepted arc is equal to the angle at the centre (central angle) but B is not the centre hence XBY is not 144°.

Angle at the circumference (inscribed angle) is half of the central angle, but XBY is not the central angle, so it's not 2×72.

Hence not 144°

Write the quadratic function in vertex form.

y = x^2 - 6x + 7

Answers

To solve this equation, we can use completing of the squares. Hence, from the equation y = x^2 - 6x + 7 , b is equal to -6. The form should become y = (x-(b/2)^2) + c. (b/2)^2 is equal to 9. Hence,

y = (x - 3)^2 -9 + 7 
y = (x - 3)^2 -2
y- 2 = (x - 3)^2

hence the vertex is at (3,2)
The vertex form: y = a(x - h)² + k

y = x² - 6x + 7 = x² - 2x · 3 + 3² - 3² + 7 = (x - 3)² - 9 + 7 = (x - 3)² - 2


Answer: y = (x - 3)² - 2

Used: (a - b)² = a² - 2ab + b²

What is 7 7/8- 31/4 simplified

Answers

7(7)/(8)-(31)/(4)=7(7)/(8)-(28+3)/(4)=7(7)/(8)-7(3)/(4)=7(7)/(8)-7(3\cdot2)/(4\cdot2)=7(7)/(8)-7(6)/(8)=\boxed{(1)/(8)}
7 7/8  = 63/ 8 ;
31/ 4 = 62/ 8 ;
63 / 8 - 62 / 8 = 1 / 8 .

The relationship between the number of months and cumulative cell phone cost is represented by the scatter plot shown.Cumulative Cost
600
500
2 400
Cumulative Cell Phone Cost (dollars)
(10, 504)
(9,470)
(8,418).
(7, 361)
(6, 324)
.(5, 253)
(3, 162) •(4, 196)
300
200
100+(1,55) (2, 108)
8
9
10
Number of Months
A line of best fit for this data is C = 51m + 4.4, where is the cumulative cell phone cost and m is the number of months.
Using this data, which value is the best prediction of the cumulative cell phone cost after 18 months?

Answers

Answer:

C. $940

Step-by-step explanation:

Answer:

$940

Step-by-step explanation:

If the sum of the measures of ∠1 and ∠2 is 180°, what is the sum of the measures of ∠3 and ∠4?A) 360°
B) 120°
C) 90°
D) 180°

Answers

in any 4-sided shape, the angles add to 360. if angles 1 & 2 are 180, 3 & 4 are also 180. the answer is D

Final answer:

The sum of the measures of ∠3 and ∠4 is 180°.

Explanation:

To find the sum of the measures of ∠3 and ∠4, we need to know the relationship between these angles and ∠1 and ∠2. If the sum of the measures of ∠1 and ∠2 is 180°, this means that these two angles are supplementary. In other words, they add up to 180°. Since angles ∠3 and ∠4 are corresponding angles with ∠1 and ∠2, they will also be supplementary to each other. Therefore, the sum of the measures of ∠3 and ∠4 is 180° as well.

Learn more about Angle Sum here:

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