NAFTA was important to North America countries because it ________. A. Broke down trade barriers
B. established a military alliance
C. Promoted alternative energy sources
D Provided free healthcare for all people
Please give me the right answer for 33 points.
Answer:
A. broke down trade barriers
What value of x makes the equation 0.2(16x – 48) = -0.4(x – 3) true?
The vertex of a parabola is (6,2), and the equation of its directrix is x = 8. What is the equation of this parabola in standard form?
a. (y−2)2=8(x−6)
b. (y−2)2=−8(x−6)
c. (x−6)2=−8(y−2)
d. (x−6)2=8(y−2)
Answer:
The equation of this parabola in standard form is (y - 2)² = -8(x - 6) ⇒ B
Step-by-step explanation:
Let us revise the standard form of the equation of a parabola
The standard form of the equation is (y - k)² = 4p(x - h), where
(h, k) is the turning point (h + p, k) are the coordinates of the focus x = h - p is the equation of the directrix
∵ The vertex of a parabola is (6, 2)
→ From the fact above
∴ h = 6 and k = 2
∵ The equation of its directrix is x = 8
→ From the fact above
∴ h - p = 8
→ Substitute the value of h to find p
∵ 6 - p = 8
→ Subtract 6 from both sides
∴ - p = 2
→ Multiply both sides by -1
∴ p = -2
→ Substitute the values of h, k, and p in the form above
∴ (y - 2)² = 4(-2)(x - 6)
∴ (y - 2)² = -8(x - 6)
∴ The equation of this parabola in standard form is (y - 2)² = -8(x - 6)
if z is the circumcenter of triangle qrs find each measure
Answer:
Step-by-step explanation:
Circumcenter of A triangle is the center of a circle passing through the vertices of the given triangle.
So, the distance of Z from the vertices Q, R and S will be the radii of the circle.
Therefore, ZQ = ZR = ZS
Since, circumcenter of a triangle is defined by the point of intersection of the perpendicular bisectors of the sides of the given triangle.
Therefore, points W, X and Y are the midpoints of sides QR, RS and QS.
Using these facts,
a). QR = 2(WQ)
= 2(25)
= 50
b). Apply Pythagoras theorem in ΔRXZ,
(RZ)² = (RX)² + (ZX)²
(RZ)² = (40)² + (9)²
RZ = √1681 = 41
c). XS = [tex]\frac{1}{2}(RS)[/tex]
= [tex]\frac{1}{2}(80)[/tex]
= 40
d). Since, ZQ = ZR = ZS
ZS = 41
e). By applying Pythagoras theorem in ΔRWZ,
(RZ)² = (WZ)² + (WR)²
(41)² = (WZ)² + (25)²
(WZ)² = (41)² - (25)²
WZ = √1056
WZ = [tex]4\sqrt{66}[/tex]
≈ 32.5
Applying the circumcenter theorem and the Pythagorean Theorem, the following measures are calculated as:
a. QR = 50
b. RZ = 41
c. XS = 40
d. ZS = 41
e. WZ = 32.5
Based on the circumcenter theorem of a triangle, the following holds true given that Z is the circumcenter of triangle QRS:
RZ, QZ, and ZS are equal (circumcenter Z is equidistant from the three vertices of ΔQRS).The perpendicular bisectors divides the three sides, RS, QS, and QR into equal parts each.Points X, Y, and W are at right angles.Given:
RS = 80WQ = 25XZ = 9a. Find QR:
QR = 2 × WQ = 2 × 25
QR = 50
b. Find RZ in right ΔXRZ:
XZ = 9 (given)
XR = 1/2(RS) = 1/2(80) = 40
Apply Pythagorean Theorem to find RZRZ = √(XZ² + XR²)
SubstituteRZ = √(9² + 40²)
RZ = 41
c. Find XS:
XS = 1/2(RS) = 1/2(80)
XS = 40
d. Find RZ:
RZ = ZS = QZ = 41 (equidistant)
ZS = 41
e. Find WZ in right ΔWRZ:
WR = WQ = 25
WR = 25
RZ = 41
Apply Pythagorean Theorem to find WZWZ = √(RZ² - WR²)
SubstituteWZ = √(41² - 25²)
WZ = 32.5
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Which transformation represents a reflection over the x-axis?
O (X,Y) - (-x, y)
O(x,y) → (X, -y)
O(x, y) (y,x)
(x, y) - (-y, x)
An airplane is traveling with an airspeed of 500 mph in the direction N 60° E. A wind blows directly south at 50 mph. What is the plane’s drift angle?
3.84°
5.21°
60.00°
65.21°
Answer:
5.21
Step-by-step explanation:
Got it right on edg
Answer:
B) 5.21°
Step-by-step explanation:
got it right on edge :)
A restaurant makes it barbecue sauce by the gallon but they sell in 12 ounce bottles this week 3 gallons of barbecue sauce are ready to bottle how many fluid ounces of sauce is there
Answer:
3 gallons = 12 ounces
12 x 3 = 36 ounces
PLSSSSS HURRY I AM TIMED. Dino has 14 coins and 2 one-dollar bills. Which describes the relationship between the coins and the dollar bills?
Dino has 7 times as many coins as he has bills.
Dino has 7 times as many bills as he has coins.
For every 2 bills, Dino has 7 coins.
For every 7 coins, Dino has 14 bills.
Answer:
I believe it's A
Step-by-step explanation:
(^-^) Hope this helps!
Answer:
For every 2 bills, Dino has 7 coins.
Step-by-step explanation:
What is the 100th term in the sequence an= 4n-12
The hundredth term of the given sequence is 388.
What is a sequence?In mathematics, a sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
Given that, we need to find the 100th term in the sequence an= 4n-12,
Put n = 100,
a₁₀₀ = 4 x 100 - 12
= 400 -12
= 388
Hence the hundredth term of the given sequence is 388.
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Convert 1.05 to a percent.
Answer:
105%
Step-by-step explanation:
you would just move the decimal 2 places to the right
A relation is
1)the output(y) vaules of the relation
2) the input (x) vaules of the relation
3)a set of points that pair input vaules with output vaules
4)x and y vaules written in the form (x,y)
WILL MARK BRAINLEST
Answer:
its 2
Step-by-step explanation:
can i get brainliest
Tuition for one year at the University of Houston is about $12,300. Azul plans to attend this university and will save money each month for the next 4 years. His parents have saved $4,860 for his first year of tuition. Which plan shows the amount of money Azul will need to save in order to pay for his first year at the University of Houston?
A. Azul will need to save $1,860 per month for the next 4 years.
B. Azul will need to save $155 per month for the next 4 years.
C. Azul will need to save $620 per month for the next 4 years.
D. Azul will need to save $256.25 per month for the next 4 years
Answer:
It should be C. 620
Step-by-step explanation:
Using proportions, it is found that Azul will need to save $155 per month for the next 4 years, and the correct option is B.
The total price of one year of tuition is $12,300, while his parents have saved $4,860.Thus, the amount he has to save for the next 4 years is:
[tex]A = 12300 - 4860 = 7440[/tex]
4 years have 48 months, thus, he has to save $7440 in 48 months, which means that the monthly amount is:[tex]\frac{7440}{48} = 155[/tex]
And the correct option is:
B. Azul will need to save $155 per month for the next 4 years.
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Andy's appliance repair charges a certain amount for house calls based on the amount of time that it takes for the repair
Answer:
Step-by-step explanation:
I am sorry but please give detailed question
A movie theater currently seats 400 people.
After a renovation, the movie theater will have larger
seats, so it will only be able to seat 320 people.
What is the percent decrease in the number of seats? ,, i need help asap.
Answer: 20%
Step-by-step explanation: As a fraction, the decrease would be 80/400 as we should know. To find the percentage, you put 80/400 in simplest form which 1/5. And since a fraction is a division problem and you want to find the answer as a percentage, you divide 1 by 5 and get 0.20. To convert a decimal into a percentage, multiply the decimal by 100. This means move the decimal space twice to the right and put a % to get 20%.
hope this helped. have a great day!!
I need help !!!!!! Please bZ÷12=9
Answer:
The answer is b=18/z
Step-by-step explanation:
Let's solve for b.
bz/2=9
Step 1: Divide both sides by z/2.
1/2bz/z/2=9/z/2
b=18/z
Answer:
b=18/z
If ∠BAC ≅ ∠DCA, is ABE ≅ CDE? Explain.
A. Yes; the triangles are congruent by AAS.
B. Yes; the triangles are congruent by ASA.
C. Yes; the triangles are congruent by SAS.
D. No; the triangles are not congruent.
Answer:
The answer is A.
Step-by-step explanation:
It is A because both sides match up except for the last pair, where they are the same. Hope this helped!
Figure LMNO maps to L'M'N'O' by a 125° rotation about point T.
Quadrilateral L M N O is rotated 125 degrees about point T to form quadrilateral L prime M prime N prime O prime.
Which congruency statement is correct?
LMNO ≅ L'M'N'O'
LMNO ≅ O'M'N'L'
ONML ≅ M'O'N'L'
ONML ≅ O'M'N'L'
Answer:
A= LMNO ≅ L'M'N'O'
Step-by-step explanation:
just did it trust me
A= LMNO ≅ L'M'N'O'. Hope this helps!!
Two fifth graders solved 2000 divided by 40. Carter said the answer is 50, while Kim said the answer is 500. Who has the correct answer? Explain your thinking.
Answer:
Carter is correct. 2000/40=50.
Step-by-step explanation:
The correct answer for who has the correct answer is Carter.
Given question:
[tex]\dfrac{2000}{40}[/tex]
Carter answer:
[tex]\dfrac{2000}{40} = 50[/tex]
Kim answer:
[tex]\dfrac{2000}{40} = 500[/tex]
The correct division:
[tex]\dfrac{2000}{40} = 50[/tex]
Carter's reasoning is accurate because he correctly divided 2000 by 40 to find the answer. Kim's answer of 500 seems to be a mistake, possibly due to an error in the division process or a misunderstanding of the problem.
Carter has the correct answer.
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*PLEASE SOLVE USING EQUATIONS*
How old am I if 200 reduced by 2 times my age is 46?
A) 89
B) 83
C) 77
D) 108
Answer:
C) 77
Step-by-step explanation:
77 times 2= 154
200-154= 46
Justin ran 5.5 miles in 49.5 minutes. On average, how many minutes did it
take him to run one mile?
john has 16 red balls and 12 black balls. what is the ratio ( in simplest form) of red balls to black balls
The simplest form of the ratio of red to black balls is 4:3.
What is a ratio?The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
Number of red balls = 16
Number of black balls = 12
The ratio of red to black balls.
= 16/12
= 4/3
Thus,
The ratio of red to black balls is 4:3.
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ASAP!!! LOOK AT THE IMAGE FOR THE GRAPH AND ANSWER CHOICES!! PLEASE HELP URGENT!!
Answer:
The answer is D.
4x + y = 2
x - y = 3
____________
When given a graph with an intersection of two lines, first locate the y-intercept (the point where x = 0) of each line, and then find it's slope by evaluating its change in y over the change in x.
It is also possible to eliminate the incorrect systems using substitution when given a point of intersection.
For example, as the point of intersection is apparent on this graph, you can substitute these coordinates from the graph into each of the systems of equations given in the choice answers to verify it.
For it to be a solution, it must satisfy (make true) both equations of the system.
(a, b) : (x, y)
Given that (1,-2) is our point of intersection according to the graph.
Choice A is incorrect because (1, -2) → x + 4y = 3 → (1) + 4(-2) = 3 → 1 + (-8) = 3 →
1 - 8 = 3 → -7 ≠ 3.
And (1, -2) → x + y = 2 → (1) + (-2) = 2 →
-1 ≠ 2.
It is already incorrect as one of the
equations in this system do not satisfy the coordinate.
Choice B is also incorrect because
(1, -2) → x + 4y = 2 → (1) + 4(-2) = 2 →
(1) + (-8) = 2 → 1 - 8 = 2 → -7 ≠ 2.
And (1, -2) → x + y = 3 → (1) + (-2) = 3 →
1 - 2 = 3 → -1 ≠ 3.
Lastly, Choice C is incorrect because
(1, -2) → 4x + y = 3 → 4(1) + (-2) = 3 →
4 + (-2) = 4 - 2 = 3 → 2 ≠ 3.
And (1, -2) → x - y = 2 → (1) - (-2) = 2 →
1 + 2 = 2 → 3 ≠ 2.
Therefore D is correct because it is the last answer remaining.
Also here is proof:
(1, -2) → 4x + y = 2 → 4(1) + (-2) = 2 →
4 + (-2) = 2 → 4 - 2 = 2 → 2 = 2
So one equation fits the coordinate, but this cannot yet be verified as the working system unless both equations fit the point.
So (1, -2) → x - y = 3 → (1) - (-2) = 3 →
1 + 2 = 3 → 3 = 3
Now we can say that this is the working system.
_____________________________
The next method involves strong observation of the graph to find both equations in slope-intercept form and then back into standard form to find a match of the choice answers as both systems are in standard form (Ax + By = C)
With the first line, it has a y-intercept of 2 because this is where it crosses the y-axis when x = 0. It also has a slope of -4 because it goes down 4 units every 1 unit to the right. This means that the first line has an equation of y = - 4x + 2.
Slope intercept form is the form y = mx + b where m is the slope( rise over run/change in y over change in x) , and b is the y-intercept (where x = 0).
The next line has a y-intercept of -3 because this is where it crosses the axis, and where x = 0. This also has a slope of 1 because it rises by 1 every run or goes up 1 unit every 1 unit to the right. therefore the second line has an equation of y = x - 3.
find what percent of 570 is 190
Formula Used:
Percentage = (Smaller Value / Actual Value)*100
Finding the percentage:
Percentage = (190/570) * 100
Percentage = (0.333) * 100
Percentage = 33.3%
23.21 to the nearest hundredth
Answer:
23.21
Step-by-step explanation:
The answer you have given is correct.
evaluate each expression if m equals 3 and n equals 7, 3mn is?
Answer:
63
Step-by-step explanation:3(3)(7)=63
Answer: 3 x 3 x 7 = 63
Step-by-step explanation: I am not sure if this is what you are asking but when a number and a variable and next to each other without any spaces it means that you should multiply them, so, 3 x m is just 3 x 3. Expanding on this, if 3 x 3 x n is equal to 3 x 3 x 7 then you can just multiply 3, 3, and 7 for a total of 63.
Femi’s last 5 bowling scores were 68 75 90 and 80 what was femis mean score
For the following right triangle, find the size length X. Round your answer to the nearest hundredth
Answer:
The answer would be 10.72
Step-by-step
You already have two side lengths so you use those to find the 3rd length
[tex]A^{2}[/tex]+[tex]B^{2}=C^{2}[/tex]
[tex]A^{2}+9^{2} =14^{2}[/tex]
[tex]A+81=196[/tex]
196-81=115
[tex]\sqrt{115[/tex]
10.72
Which of the following explains the relationship between angles A and D?
A figure is reflected across the x-axis to create a new figure. Which rule describes this transformation?
O (x,y) → (-x, -Y)
O (x,y) → (y,x)
O (x, y) = (x, y)
O (x, y) =(x, y)
Answer:
f(x) reflected across the x-axis is -f(x)
Step-by-step explanation:
so aka
O (x,y) → (x, -y)
Fill in the blank.
x 3 x 4 = 84
Answer:
the missing value is 7
Step-by-step explanation: