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3 years ago

What is the ordered pair? I need help ASAP.

Mathematics

2 answers:

34kurt3 years ago

8 0

Let's solve your system by substitution.

x+y=8;x−y=4

Step: Solvex+y=8for x:

x+y=8

x+y+−y=8+−y(Add -y to both sides)

x=−y+8

Step: Substitute−y+8forxinx−y=4:

x−y=4

−y+8−y=4

−2y+8=4(Simplify both sides of the equation)

−2y+8+−8=4+−8(Add -8 to both sides)

−2y=−4

−2y/−2=−4/−2 (Divide both sides by -2)

y=2

Step: Substitute2foryinx=−y+8:

x=−y+8

x=−2+8

x=6(Simplify both sides of the equation)

Answer:

x=6 and y=2

Allisa [31]3 years ago

5 0

Answer:

a pair of elements a, b having the property that ( a, b) = (u, v ) if and only if a = u, b = v.

Step-by-step explanation:

Hope this helps ;P

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The total surface area of the triangular prism is blank squar millimeter.

Shtirlitz [24]

Answer:

To find the area of a triangle, multiply the base by the height, and then divide by 2. The division by 2 comes from the fact that a parallelogram can be divided into 2 triangles. For example, in the diagram to the left, the area of each triangle is equal to one-half the area of the parallelogram

Step-by-step explanation:

hope this helps :)

7 0

3 years ago

What is the reciprocal of 3/4

stepan [7]

4/3 because you flip the fraction around.

3 0

4 years ago

A regression was run to determine if there is a relationship between the happiness index (y) and life expectancy in years of a g

Natasha2012 [34]

Answer:

(A) $y=-0.762+0.119x$

(B) If a country increases its life expectancy, the happiness index will increase.

(C) If the life expectancy is increased by 3.5 years in a certain country, the happiness index will increase by 0.4165.

(D) If the life expectancy is 67 years in a certain country, the happiness index will be 7.21.

Step-by-step explanation:

A regression analysis was performed to determine if there is a relationship between the happiness index (y) and life expectancy in years of a given country (x).

The output of the regression analysis are as follows:

a = -0.762

b = 0.119

r² = 0.8649

r = 0.93

(A)

The equation of the Least Squares Regression line of the form y = _ + _ x is:

$y=-0.762+0.119x$

(B)

The correction between the variables happiness index (y) and life expectancy in years of a given country (x) is, 0.93.

The correlation coefficient is positive. This implies that there is a positive relation between the two variables, i.e. as the value of life expectancy in years increases the happiness index also increases.

Thus, if a country increases its life expectancy, the happiness index will increase.

(C)

Compute the value of y for x = x + 3.5 as follows:

$y=-0.762+0.119x$

$=-0.762+0.119\times (x+3.5)\\\\=(-0.762+0.119x)+0.4165\\\\=y+0.4165$

Thus, if the life expectancy is increased by 3.5 years in a certain country, the happiness index will increase by 0.4165.

(D)

Compute the value of y for x = 67 as follows:

$y=-0.762+0.119x$

$=-0.762+0.119\times 67\\\\=-0.762+7.973\\\\=7.211\\\\\approx 7.21$

Thus, if the life expectancy is 67 years in a certain country, the happiness index will be 7.21.

6 0

4 years ago

Help help help please really need help

Galina-37 [17]

Problem 1

<h3>Answer: B. M<3 would need to double.</h3>

Explanation: This is because angles 3 and 6 are congruent corresponding angles. Corresponding angles are congruent whenever we have parallel lines like this. If they weren't congruent, then the lines wouldn't be parallel. We would need to double angle 3 to keep up with angle 6.

=====================================================

Problem 2

<h3>Answer: D. none of these sides are parallel</h3>

Explanation: We have angles A and C that are same side interior angles, but they add to A+C = 72+72 = 144, which is not 180. The same side interior angles must add to 180 degrees for parallel lines to form. This shows AB is not parallel to CD.

A similar situation happens with angles B and D, since B+D = 108+108 = 216. This also shows AB is not parallel to CD. We can rule out choices A and C.

Choice B is false because AD is a diagonal along with BC. The diagonals of any quadrilateral are never parallel as they intersect inside the quadrilateral. Parallel lines never intersect.

The only thing left is choice D. We would say that AC || BD, since A+B = 72+108 = 180 and C+D = 72+108 = 180, but this isn't listed as an answer choice.

5 0

3 years ago

3. A line passes through (9. -9) and (10,-5).

VMariaS [17]

Step-by-step explanation:

a. y-y1/y2-y1=x-x1/x2-x1

y+9/-5+9=x-9/10-9

y+9/4=x-9/1

y+9/4=x-9

b. y+9=4(x-9)

y+9=4x-45

y-4x=-45-9

y-4x=-54

6 0

2 years ago