All categories

4 years ago

Which ordered pair is a solution to the system of inequalities graphed here?

Mathematics

2 answers:

mihalych1998 [28]4 years ago

7 0

Answer:

Point A

Step-by-step explanation:

jonny [76]4 years ago

6 0

We proceed to graph the points and verify which is within the shaded area

so
points B and D are not within the shaded area
point C is not a solution because it is in the limit and the limits are not included
point A is inside the shaded area

therefore

the answer is
the point A

see the attached figure

You might be interested in

A library labels each book with a six-character code to identify the book in its computer system. The first character is either

mote1985 [20]

Answer: There are 24336000 different codes that are possible.

Step-by-step explanation:

We know that,

Total alphabets = 26

Total digits = 10

Choices for First place = 26+10=36

Choices for next 3 places = 10 x 10 x 10 = 1000

Choices for last 2 places = 26 x 26 = 676

Total different codes are possible = 36 x 1000 x 676

=24336000

Hence, there are 24336000 different codes that are possible.

4 0

3 years ago

Circle C has a center at (-2,10) and contains the point P(10,5). Which equation represents circle C?

Rina8888 [55]

Answer:

The equation that represents circle C is $(x+2)^2+(y-10)^2=169$ .

Step-by-step explanation:

A circle is the set of all points in the plane which maintains a fixed finite distance r from a fixed point O = (a, b). Here O is called the center, and r is called the radius of that circle.

The standard equation for a circle with center (a, b) and radius r is

$(x-a)^2+(y-b)^2=r^2$

We are told that the center of this circle is (-2, 10), so

$(x+2)^2+(y-10)^2=r^2$

We are also told that the circle contains the point (10, 5), so we will use that information to find the radius r.

$(10+2)^2+(5-10)^2=r^2\\\\r^2=\left(10+2\right)^2+\left(5-10\right)^2\\\\r^2=12^2+5^2\\\\r^2=144+25\\\\r^2=169\\\\r=\sqrt{169}=13$

Therefore, the equation that represents circle C is

$(x+2)^2+(y-10)^2=13^2\\\\(x+2)^2+(y-10)^2=169$

7 0

3 years ago

Karon has 16 friends he invited to his party. If each friend brings him 1.5 pounds of candy as his treat, how many pounds of can

guajiro [1.7K]

He will receive 24 pounds of candy.

thats a lot o.O

4 0

3 years ago

Santiago receives $143 per year in simple interest from three investments. Part is invested at 2%, part at 3%, and part at 4%. T

notka56 [123]

Answer:

02a+.03b+.04c=126,

b=a+500,

c=3b

a=300., b=800., c=2400.

Step-by-step explanation:

5 0

4 years ago

Which of the following statements are true?

lana [24]

Answer:

B, C, E, & F

Step-by-step explanation:

Option A is incorrect because the equation Ax = b is referred to as a matrix equation, not a vector equation.

Option B is correct. If Ax = b has a solution, vector b will a linear combination of columns of matrix A.

Option C is correct. In a matrix equation, product Ax when defined, is a sum of products.

Option D is incorrect. If an augmented matrix [Ab] had a pivot position in every row, there could be a pivot in the last column which would make it inconsistent.

Option E is correct. If the columns of an m×n matrix A span $R^m$ , then the equation Ax=b is consistent for each b in

Option F is correct. IfA is an m x n matrix whose columns do not span, then the equation Ax = b is inconsistent for some b in $R^m$

Options B, C, E, and F are correct.

7 0

3 years ago