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pshichka [43]
3 years ago
13

PLESEEEEEEEE SOMEONE HELP ME I DIDNT STUDY FOR THIS QUIZ

Mathematics
1 answer:
Gala2k [10]3 years ago
8 0

Answer:

-6 ;

ax² + bx + c ;

-1

Step-by-step explanation:

1)

Give thequadratic equation :

4x² - 6x - 5

The values of a, b, c are the Coefficient of x², x and the constant respectively

Therefore, the value of b is the Coefficient of x = - 6

2.)

Standard form of a quadratic equation is :

ax² + bx + c

a = Coefficient of x² ; b = Coefficient of x ; c is a constant

3.)

2x² - 4x + 7

Axis of symmetry :

-b / 2a

a = 2 ; b = - 4, c = 7

-b / 2a = - 4 / 2(2)

= - 4 / 4

= - 1

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Identify the ordered pair that represents the vector from a(1,6) to b(2,-3) and the magnitude of ab
aliina [53]

Answer: magnitude ab = 9.06

Step-by-step explanation:

The vector coordinates will be represented with ( X , Y )

Magnitude of ab will be

ab^2 = (X2 -X1)^2 + (Y2 -Y1)^2

ab^2 = (2 -1)^2 + (-3 -6)^2

ab^2 = 1^2 + 9^2

ab^2 = 1 + 81

ab = 9.06

3 0
3 years ago
If x = a sin α, cos β, y = b sin α.sin β and z = c cos α then (x²/a²) + (y²/b²) + (z²/c²) = ?​
Oduvanchick [21]

\large\underline{\sf{Solution-}}

<u>Given:</u>

\rm \longmapsto x = a \sin \alpha  \cos \beta

\rm \longmapsto y = b \sin \alpha  \sin \beta

\rm \longmapsto z = c\cos \alpha

Therefore:

\rm \longmapsto \dfrac{x}{a}  = \sin \alpha  \cos \beta

\rm \longmapsto \dfrac{y}{b}  = \sin \alpha  \sin \beta

\rm \longmapsto \dfrac{z}{c} = \cos \alpha

Now:

\rm =  \dfrac{ {x}^{2} }{ {a}^{2}} +  \dfrac{ {y}^{2} }{ {b}^{2} } +  \dfrac{ {z}^{2} }{ {c}^{2} }

\rm =  { \sin}^{2} \alpha  \cos^{2}  \beta   +  { \sin}^{2} \alpha  \sin^{2} \beta  +  { \cos}^{2} \alpha

\rm =  { \sin}^{2} \alpha  (\cos^{2}  \beta   +  \sin^{2} \beta  )+  { \cos}^{2} \alpha

\rm =  { \sin}^{2} \alpha \cdot1+  { \cos}^{2} \alpha

\rm =  { \sin}^{2} \alpha + { \cos}^{2} \alpha

\rm = 1

<u>Therefore:</u>

\rm \longmapsto\dfrac{ {x}^{2} }{ {a}^{2}} +  \dfrac{ {y}^{2} }{ {b}^{2} } +  \dfrac{ {z}^{2} }{ {c}^{2} }  = 1

5 0
3 years ago
The ages of trees in a forest are normally distributed with a mean of 25 years and a standard deviation of 4. Approximately what
harkovskaia [24]

Answer:

78.88%

Step-by-step explanation:

We have been given that

\mu=25,\sigma=4,x_1=20,x_2=30

The z-score formula is given by

z-\text{score}=\frac{x-\mu}{\sigma}

For x_1=20

z_1=\frac{20-25}{4}\\\\z_1=-1.25

For x_2=30

z_2=\frac{30-25}{4}\\\\z_2=1.25

Now, we find the corresponding probability from the standard z score table.

For the z score -1.25, we have the probability 0.1056

For the z score 1.25, we have the probability 0.8944

Therefore, the percent of the trees that are between 20 and 30 years old is given by

0.8944 - 0.1056

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6 0
4 years ago
Read 2 more answers
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kogti [31]

Answer:

y-b/m = x

Step-by-step explanation:

y = mx + b

~Subtract b to both sides

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Best of Luck!

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miskamm [114]

Gotta add a picture to show us what you want us to do.

7 0
3 years ago
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