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3 years ago

What two numbers add up to 9 and multiply to -90?

1 answer:

3 0

You solve the equation : t^2 - 9t - 90 = 0 ;
Δ = ( - 9 )^2 - 4 * 1 * ( - 90 ) = 81 + 360 = 441 ;
t1 = ( 9 + $\sqrt{441}$ ) / 2 = 30 / 2 = 15 ;
t2 = ( 9 - $\sqrt{441}$ ) / 2 = -12 / 2 = - 6 ;

The numbers are 15 and - 6 ;

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Please help thank you!

kirill [66]

Question 1:

Look at the image.

First, we graph the points on a grid.

Then, we find the perpendicular bisectors and find where they intersect.

They intersect on the circumcenter of the triangle.

The circumcenter is (5,3)

Question 2:

The answer is III only because the perpendicular bisector for the longest side will always have to point outside the triangle in order to intersect with the other two perpendicular bisectors.

Question 3:

The answer is a perpendicular bisector because it is a perpendicular line that bisects a side of the triangles, which is the exact definition of a perpendicular bisector.

Have an awesome day! :)

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3 years ago

GEOMETRY HELP PLEASE!!! FAST!!!

Lubov Fominskaja [6]

The correct answer is:

Rotation of 90° counterclockwise about the origin and a translation 2 units right

Explanation:

A rotation 90° counterclockwise maps each point (x, y) to (-y, x). This means our points would be:

A(-4,3)→(-3, 4); B(-1,3)→(-3, -1); C(-2,1)→(-1, -2)

A translation 2 units right will add 2 units to the new x-coordinates; this gives us

(-3, 4)→(-1, 4); (-3, -1)→(-1, -1); and (-1, -2)→(1, -2)

These are the points in the image, so this is the correct set of transformations.

7 0

3 years ago

A certain affects virus 0.8% of the population. A test used to detect the virus in a person is positive 86% of the time if the p

Klio2033 [76]

Answer:

<h3>I can't help sorry........ .bru</h3>

7 0

2 years ago

Find the range of the function for the given domain: f(x)=2x^2−7 with domain: x = {-4, -2, 0, 3}

-BARSIC- [3]

Answer:

f(x)=2(-4)^2-7

=-8^2-7

= 64-7

=57

7 0

3 years ago

A die with six faces has the number 1 painted on three of its faces, the number 2 painted on 2 of its faces, and number 3 on one

salantis [7]

Answer:

a) S = {1, 2, 3}

b) P(odd number) = $\frac{2}{3}$

c) No

d) Yes

Step-by-step explanation:

a) The sample space is the set of all possible outcomes. By definition, the elements of a set should not be repeated. Hence, the sample space S = {1, 2, 3}

However, the sample is not equiprobable because each element has different probabilities.

b) P(odd number) = $\frac{number of odd digits}{number of faces}=\frac{4}{6}=\frac{2}{3}$

Note that the odd numbers are 1 (on three faces) and 3 (on one face).

c) The fact the die has been biased does not change the possible outcomes. It only changes the probability of getting any given number.

d) Because the 3-face has been loaded, this probability changes. In fact, it is calculated thus:

Let's assume the probability for 1 or 2 is $x$ . Then that of 3 is $2x$ (because it is twice the others). The sum of probabilities must be 1.

$x+x+x+x+x+2x=1$

$7x=1$

$x=\frac{1}{7}$

P(odd number) = $3\times$ Prob(1) + Prob(3)

= $3\times\frac{1}{7}+\frac{2}{7}$ = $\frac{5}{7}$

7 0

3 years ago