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laila [671]
3 years ago
12

The graphs of these two equations intersect in how many points? x^2+y^2=25 x^2-y^2=3

Mathematics
1 answer:
Korolek [52]3 years ago
4 0

Answer:

Step-by-step explanation:

x²+y²=25

it is a circle with radius=5

x²-y²=3

it is a hyperbola.

x²-y²=3

so they intersect in four points.

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Select all the true statements. A. Negative integers are rational numbers B. Mixed numbers are irrational numbers C. Decimal num
nadezda [96]

Answer:

The correct answer is A.; C.; E.

Step-by-step explanation:

A. Negative integers are rational numbers because all integers are rational numbers, i.e. integers are a subset of rational numbers, making the statement correct.

B. Mixed numbers are rational numbers because they can be written in the form of a simple fraction and thus the statement B is wrong.

C. Decimal numbers that terminate, like 0.125, are rational numbers is true as they can be written as a simple fraction making the statement true.

D. Decimal numbers that go on forever with repeating patterns, like 4.272727..... are irrational numbers is false as they can also be represented by a simple function making them rationals.

E. Decimal numbers that go on forever with no repeating patterns are irrational numbers as they can never be written as a simple fraction making the statement E true.

6 0
3 years ago
Write a quadratic equation in standard form that has a vertex of (-2, 6) and passes through (-4, -2).
Marizza181 [45]

Answer:

The equation of the quadratic in standard form is:

y=-2x^2-8x-2

Step-by-step explanation:

Since they give us the information about where the vertex of the parabola is located, and one extra points where it passes through, we can use the general form of a quadratic in vertex form:

y-y_v=a\,(x-x_v)^2

where (x_v,y_v) is the location of the vertex (in our case the point (-2,6).

Therefore the equation above becomes:

y-y_v=a\,(x-x_v)^2\\y-6=a\,(x-(-2))^2\\y-6=a\,(x+2)^2

Now,we can use the fact that the point (-4,-2) is also a point of the graph, to find the value of the parameter "a":

y-6=a\,(x+2)^2\\-2-6=a\,(-4+2)^2\\-8=a\,(-2)^2\\-8=a\,*4\\a=-2

Then, the equation of the quadratic with such characteristics becomes:

y-6=-2\,(x+2)^2\\y-6=-2x^2-8x-8\\y=-2x^2-8x-2

which is the equation of the quadratic in standard form.

7 0
3 years ago
23,569 pennies rounded to nearest ten thousands
8_murik_8 [283]

since the thousands place is a 3 which is lower than a 5

 it would be rounded to 20,000

4 0
3 years ago
Read 2 more answers
Help me please this is probably very easy but I'm struggling
Lana71 [14]
I think it is 110 or
130

5 0
3 years ago
PLZ HELP ME WITH THIS!?!?! I WILL MARK BRAINLIEST!!!
Molodets [167]

Answer:

a: 1/7 +2/7

b:1/7 +1/7+1/7

7 0
3 years ago
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