The graphs of these two equations intersect in how many points?

[tex]x^{2} +y ^ {2}=25[/tex]
[tex]x^{2} -y ^ {2}=3[/tex]

Answers

Answer 1

Answer:

They intersect 4 times.

Step-by-step explanation:

When graphed, the first equation is a circle with a center resting at (0,0)

The second equation intersects the circle at (-3.7,3.3), (3.7,3.3), (3.7,-3.3), (-3.7,-3.3)


Related Questions

Answer all for brainliest asap pls

Answers


1.

Since ABCD is a rectangle, then

angleABE = 90 degrees

angle ABE + angle BEA + 41 = 180

Substitute the known and solve for angle BEA

angle BEA + 41 = 90

angle BEA = 49 degrees

But,

x + angleBEA + 61 = 180 (angles in a straight line)

x = 180 - 61 - 49

x = 70 degrees

2.

triangle XYZ is equilateral, meaning all angles in it are the same, each 60 degrees.

Therefore,

Angle YZX = 60

But Angle YZX = x + 32 (exterior angles equal to the sum of the two opposite interior angles)

60 = x + 32

Therefore,

x = 28 degrees

3.

Angle QPR = Angle QRP (equal oppo sides, equal opposite angles)

Therefore, 2angleQRP + 64 = 180 (angle sum of a triangle)

Angle QRP = 58 degrees

But angle QRP = x + 35 (exterior angles equal to the sum of the two opposite interior angles)

58 = x + 35

x = 23 degrees

Answer:

See below:

Step-by-step explanation:

For the first one, we know <ABC is 90 degrees due to it being a rectangle.

Since we know that, the angles in that triangle are 41 degrees 90 degrees and y degrees (y is <AEB) in this case.

We know that the sum of angles in a triangle are 180 degrees therefore:

If we solve that, we get that y is 49 degrees.

Now to get x, we know its a supplementary angle, therefore 61 degrees + 49 degrees + x = 180 degrees.

We now know that x is 70 degrees

For the second one, since its an equilateral triangle, we know that all angles inside of it are 60 degrees.

What we can do is first find what <XZW is by subtracting 60 from 180 due to the supplementary angles theorum.

Therefore <XZW is 120 degrees.

Now, all angles inside a triangle are always 180 degrees so therefore:

[tex]x=180-(120+32)\\x=28[/tex]

For the final one, we know that <QRP is equal to 64 degrees due to the bottom two triangles of an isoceles triangle being equal.

On that, we get 23 degrees for the last one due to supplementary angles + 180 deg in triangle.

In the xy-coordinate plane shown, line L passes through point C and has a slope of -2. A dilation of line L with center A and a scale factor of 3 will produce a new through point C’, the image of point C with coordinates

Answers

Answer:

Step-by-step explanation:

Dilation of a line about a point not on the line shifts the line but leaves the slope intact .

New line slope will be -2

As both A and C lie on a horizontal line y = 2, C' will also lie on the same line

The distance between A and C is 0 - 2 = -2

a scale factor of 3 means C' is -2(3) = -6 units left of A

C' = (2 - 6, 2) = (-4. 2)

Baker leaves his house and drives 10 miles north then 24 miles west to Tellus Science Museum. If
Baker could drive in a straight line from his house to the museum, how many miles would he save?
How many miles is the normal route?
How many miles is the straight line?
How many miles would Baker save? (Hint: subtract the two.)

Answers

Answer:

34

26

8

Step-by-step explanation:

 

find the quotient of [tex]\frac{(x^{3} - 2x^{2} + 6x + 3)}{ (x - 3)}[/tex] using long division

Answers

I can’t really do long division on a phone so, extended techniques are required.

(x^3 - 2x^2 + 6x + 3)/(x-3)

= (x^3 - 3x^2 + (x^2 - 6x + 9)+ 12x - 6)/(x-3)

= (x^2(x-3) + (x-3)^2 + 6(2x - 1))/x-3

= x^2 + x - 3 + 6(2x - 1)/(x-3)

or

= x^2 + x - 3 remainder 12x - 6


or, in the form p(x) = q(x)d(x) + r(x):


(x^3 - 2x^2 + 6x + 3) = (x^2 + x - 3)(x - 3) + (12x - 6)

which implies that the quotient q(x) = (x^2 + x - 3) and remainder r(x) = 12x - 6

HELP. the staircase at the lighthouse tower has between 80 and 90 steps. if matt goes 2 steps at a time then 1 step is left at the end. If he goes 3 steps at a time then 2 steps are left. If he goes 4 steps at a time then 3 steps are left. How many steps are in the staircase?

Answers

Answer:

90

Step-by-step explanation:

start from the beginning, then if you go 2 steps at a time, then you have 1 step left over at the end, let's assume the length of the stair case is x, so then we will be going up 2/3x steps, and have 1/3 x steps left.

2/3 x = somewhere between 80 and 90, so that means it must be divisible by 3, so 81,84,87,90

3/5 x ==> only 90

According to Allyson's half marathon training
schedule, she needs to run at least 23 miles this
week. So far, she ran 19 miles this week. Write an
inequality to describe the situation

Answers

Answer: 19 + r = 23

Step-by-step explanation:

r = 4

19 + 4 = 23

What is 21 divided by 654

Answers

Answer:

Well your saying division but it looks like square root when you make the sharp edge there but I will answer the division one

so 21 goes into 65 3 times maximum

so 21*3 is 63

so we subtract 63 and put a 3 on top

so eventually you’d get 31.142857 (never ending decimal)

So you can convert into a fraction, at this rate I’d just put it in a calcualtor and it‘ll do it for you

so 31 1/7 is the final answer

If the quotient of 5/8 and 1/4 is subtracted from the product of 1 1/2 and 3 1/5, what is the difference?

Answers

Answer:

.,l;'fnfcy

Step-by-step explanation:

gvnjd,g,ufk,lnm;lh;;rkiyltoltlt8tioll

5/12+(-3/4) what is the answer

Answers

Answer:

-1/3

Step-by-step explanation:

Answer:

-1/3

Step-by-step explanation:

5/12+(-9/12)

5/12 - 9/12 = -4/12

-4/12 = -1/3

how much is 80+198 in fractions

Answers

Answer:

278/1

Step-by-step explanation:

The question is kind of unclear... though this is 80+198 simplified.

Hope this helped! :)



Use properties of addition to find each sum mentally. Show
your steps and identify the properties that you used.
1. 9 + 6 + 31 =

Answers

9 + 6 = 15
15 + 31 = 46

added 9 and 6 to get 15, then added 15 and 31 to get 46.

What is the value of x?
Enter your answer in the box.
units

Answers

Answer:

x = 27

Step-by-step explanation:

similar triangles

26/18 = 39/x

      x = 39(18/26)

      x = 27

could also use

39/x = (39 + 26) / (x + 18)

to get to the same result

39(x + 18) = x(39 + 26)

39x + 702 = 39x + 26x

         702 = 26x

              x = 27

or

18/x = 26/39

    x = 18(39/26)

    x = 27

Is there a proportional relationship between the area and radius of a circle?

Answers

Answer:

is this free choice?

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Since A=pi x r2 There is a proportional relationship .

This morning, the owner of Sam's Spaghetti House withdrew $180 from the restaurant's bank account to pay for an oven repair. This afternoon, he deposited $430 from lunch sales.
What is the total change in the restaurant's bank account relative to where it started?

Answers

Answer:

he had $250.00 more at the end of lunch

Step-by-step explanation:

write an equation of the line with a slope of -8 and a y-intercept of 2

Answers

Answer:

y=−2x+8

Step-by-step explanation:

https://socratic.org/questions/how-do-you-write-an-equation-of-a-line-with-slope-2-y-intercept-8

Maria is recording the percentages she earned on each quiz in her math class. Here are her results for the last 7 quizzes.
59, 61, 83, 67, 81, 80, 81
Find the range of the data set.

Answers

22 because you take the smallest and largest number and subtract them so you do 81-59=22

Example #1: The ratio of the length to width in a rectangle is 2:7. If the length of the rectangle is 11cm,
what is the width of the rectangle?

Answers

Answer:

37.5cm sifjueikksksoowi

Answer:

38.5 = width

Step-by-step explanation:

Need Done ASAP Please Help will give brainliest
How does the graph of g(x) = −(x + 3)4 compare to the parent function of f(x) = x4?
A. g(x) is shifted 3 units to the right and 1 unit up.
B. g(x) is shifted 3 units to the right and 1 unit down.
C. g(x) is shifted 3 units to the right and reflected over the x-axis.
D. g(x) is shifted 3 units to the left and reflected over the x-axis.

Answers

The difference between the functions f(x) and g(x) is the addition of a

constant to the value of x and changing

the sign of the output.

The graph of g(x) compared to f(x) is g(x) is shifted 3 units to the left and

reflected over the x-axis.

Reason:

The addition of a positive constant term to the input variable of a function,

shifts the graph to the left of the graph of

the parent function.

Please find attached the image of the graph of f(x), which is g(x) shifted to

the left by 3 units.

Step-by-step explanation:

Changing the sign of the output value from positive to negative;

When the output value of a function is changed from positive to negative,

and vice versa, it is equivalent to a reflection across the x-axis.

Therefore, the function g(x) is a reflection across the x-axis.

Therefore;

g(x) is shifted 3 units to the left and

reflected over the x-axis.

Original domain and range:
D: [-1,1] R: [0,1]
What is the domain and range of
y= f(x+2)+1

Answers

Step-by-step explanation:

if I understand correctly, then f(x) has the domain of [-1, 1] and the range of [0, 1].

the domain of a function is the interval or set of the valid values of x. and the range is the interval or set of the valid values of y.

the new function we could call g(x) is

y = f(x+2) + 1

so, remember, f(x) is only defined for x values of of [-1, 1].

the argument of f(x) must never be outside that interval, or it is undefined.

the new function now uses f(x) in the form of f(x+2). that means, if we use the same x values as for the original f(x) we would land mostly in undefined areas (only x=-1 would work), because we would use f(x) with argument values from 1 to 3.

how can we regulate this back to the valid interval of -1 to 1 ?

by saying that the domain of g(x) is actually 2 less than the domain of f(x) : [-3, -1]

the "+ 1" at the end changes the range. g(x) has then a range interval that is greater by 1 than the range interval of basic f(x).

so, it is [1, 2]

Tom plans to build up his RRIF (Registered Retirement Income Fund) by making regular deposits into his RRSP
(Registered Retirement Savings Plan) now. When he retires 22 years from now, Tom would like to receive
$2,000 at the end of every six months for seventeen years. Assume the interest rate for both the RRSP and
RRIF will be 5.05% compounded semi-annually.
1) How much would Tom have to have in the RRIF at the beginning of his retirement to receive these payments
of $2,000 each at the end of every six months?
$
2) What payment will Tom have to regularly make now at the end of every six months into his RRSP so that
there is enough money in the RRIF at the start of his retirement?

Answers

The absence is 300000

Find 40% of 60 please help i am really struggling!!!

Answers

Answer:

24 is the answer

Step-by-step explanation:

The first thing you would do is to convert from percent to decimal, divide the percent without the percent symbol by 100.Thus, 40%=40100=0.4. 40% 60 is just 0.4⋅60=24

40% of 60

40/100x60

=0.4x60

=24

hello! someone please answer this. this is due tomorrow, Monday and I don't get any of it. ty!​

Answers

You want to combine like terms :). This means the terms that are the same will be added or subtracted depending on their sign at the beginning.
1) x^2 +x+3-4x
Rearrange first to put like terms together

X^2 +x-4x +3

Your answer to a would be…
x^2 -3x+3
Lmk if you would like me to do another problem for extra practice!
Hope that helps!

evaluate 102 what is the answer

Answers

Answer:

10404

Step-by-step explanation:

evaluate 8(b divided by 2) - (c+4) when b = 1/2 and c = 1/4

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\boxed{\mathsf{8(\dfrac{1}{2}\div2)- (\dfrac{1}{4} + 4)}}\\\\\\\huge\boxed{\mathsf{= 8(\dfrac{1}{4}) - (\dfrac{1}{4}+ 4)}}\\\\\\\huge\boxed{\mathsf{= 2 - (\dfrac{1}{4}+4)}}\\\\\\\huge\boxed{\mathsf{= 2 - \dfrac{17}{4}}}\\\\\\\huge\boxed{= \mathsf{ - \dfrac{9}{4}}}\\\\\\\\\\\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{- \dfrac{9}{4}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\huge\boxed{\star \ \frak{Amphitrite1040:)}\ \heartsuit }[/tex]

Suppose that the hemoglobin levels among healthy females are normally distributed with a mean of 14 gdL. Research shows that exactly 95% of healthy females have a hemoglobin level below 15.9 gdL. What is the standard deviation of the distribution of hemoglobin levels in healthy females

Answers

Answer:

The variation in haemoglobin values in healthy human beings is relatively large; in women aged 18–49 years the mean haemoglobin concentration is 140 g/l while the value 2 standard deviations (SD) below the mean is 120 g/l, a difference of about 14%.

*HIGH SCHOOL* please help me with this

Answers

Answer:

Not quite in proof format but here's a short explaination. You should be able to fill out the table yourself.

It is given that <T=<Y and <V+<U=180 degrees

<T=<Y are corresponding angles. Corresponding angles are congruent when the two lines (that the third line crosses to make a transversal) are parallel. So, l1 and l2 are parallel.

<V+<U are supplementary angles. They are same side interior angles. Same side interior angles are supplementary when two lines of the transversal are parallel (basically same thing as above, just different type of angle). So, l3 and l4 are parallel.

<R=<U because they are alternate interior angles. Alternate interior angles are congruent when the two lines are parallel (you have proved that l3 and l4 are parallel above).

<P=<C because they are alternate exterior angles. Alternate exterior angles are congruent when the two lines are parellel (you have proved that l1 and l2 are parallel above).

The length of a rectangle is 2 inches more than its width. The area of the rectangle is equal to 12 inches more than three times the perimeter. Find the length
and width of the rectangle.

Answers

Answer:

Step-by-step explanation:

The length of a rectangle is 2 inches more than its width. The area of the rectangle is equal to 12 inches more than three times the perimeter. Find the length

and width of the rectangle.

Question 9 of 20
Which of the following is a polynomial?
A. 11x
B. 2x2 - X
C. 3x2 +6x
D. 1-5x2
X

Answers

Answer:

3x2+6x is a polynomial. Polynomials are algebraic expressions in which the variables have only non-negative integer powers. For example,: 5x2 - x + 1 is a polynomial.

please help me!!! I'll give you 40 points.
construct the bisector of the following figures​

Answers

Answer:

divide the given line into halves

Find the measure of the exterior angle.
(5x+2)
6x
90

Answers

y = 138

Step-by-step explanation:

6x + 5x +2 = 90°

11x = 90 - 2

11x = 88

x = 8

5x + 2 + y = 180

5(8) + 2 + y = 180

40 + 2 + y =180

42 + y = 180

180 - 42 = y

y = 138