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julia-pushkina [17]
3 years ago
6

Y² - 11y + 21.25 = 0

Mathematics
2 answers:
Elodia [21]3 years ago
7 0

Answer:

y=17/2 y=5/2

Step-by-step explanation:

...................

boyakko [2]3 years ago
7 0

Answer:

y^{2}-11y= -21.25

<u>Factorize the expression </u>y^{2}<u>-11y </u>

y(y-11)= -21.25

<u>Eliminate (y-11)by dividing it over (y-11)</u>

\frac{y (y-11)}{(y-11)} = \frac{-21.25}{(y-11)}

<u>Final answer;</u>

y=\frac{-21.25}{(y-11)}

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Mrs. Lopez is designing her garden in the shape of a rectangle. The area of her garden is 2 times greater than the area of the r
scoray [572]

To find the expression for the area of the rectangular garden we will find the area of the rectangle in the picture and then double it.

Area of the garden will be represented by the expression 32s⁵ ft².

Mrs. Lopez is designing her rectangular garden which is 2 times greater than the area of the rectangle shown in the picture.

Dimensions of the rectangle in the picture are 4s³t ft and 8s² ft.

Therefore, area of the rectangle in the picture = Length × Width

                                                                              = 4s³t × 8s²

                                                                              = 32s⁵t ft²

Since, area of the garden is 2 times greater than the area of the rectangle given in the picture.

Therefore, area of the garden = 2(area of the rectangle given in the garden)

                                                  = 2(32s⁵t) square feet.

                                                  = 64s⁵t square feet

Learn more,

brainly.com/question/17419256

6 0
2 years ago
Help? 2+2-8+6-2+9+5-6+6-3+8-1+7-0+8-1+10-2+11+
SOVA2 [1]

Answer:

51

Step-by-step explanation:

2+2 = 4

4 - 8 = -4

-4 + 6 = 2

2 - 2 = 0

0 + 9 = 9

9 + 5 = 14

14 - 6 = 8

8 + 6 = 14

14 - 3 = 11

11 + 8 = 19

19 - 1 = 18

18 + 7 = 25

25 - 0 = 25

25 + 8 = 33

33 - 1 = 32

32 + 10 = 42

42 - 2 = 40

40 + 11 = 51

6 0
3 years ago
2. Consider the circle x² + y2 = 1, given in figure. Let OP makes an angle 30° with the x axis.
PolarNik [594]

The equation of the tangent line to the circle passing through the point P is; y = (1/√3)x ± 2/√3

<h3>How to find the equation of the tangent?</h3>

I) We are given the equation of the circle as;

x² + y² = 1

Since angle of inclination is 30°, then slope is;

m = tan 30 = 1/√3

Then equation of the tangent will be;

y = (1/√3)x + c

Put  (√3)x + c into the given circle equation to get;

x² + ((1/√3)x + c)² = 1

x² + ¹/₃x² +  (2/√3)cx + c² = 1

⁴/₃x² +  (2/√3)x + (c² - 1) = 0

Since we need to find value of c for equation to become tangent, then the above quadratic equation must have real and equal roots.

Thus;

((2/√3)c)² - 4(⁴/₃)(c² - 1) = 0

⁴/₃c² - ¹⁶/₃(c² - 1) = 0

⁴/₃c² - ¹⁶/₃c² + ¹⁶/₃ = 0

4c² = ¹⁶/₃

c² = ⁴/₃

c = √⁴/₃

c = ±²/√3

Thus, equation of tangent is;

y = (1/√3)x ± 2/√3

II) Radius from the given equation is 1. Thus, we will use trigonometric ratio to find the x and y intercept;

x-intercept is at y = 0;

0 = (1/√3)x ± 2/√3

-(1/√3)x = ±2/√3

Intercept is positive. Thus;

x = (2/√3)/(1/√3)

x = 1

y - intercept is positive at x = 0;

y = (1/√3)0 ± 2/√3

y = 2/√3

Read more about Equation of tangent at; brainly.com/question/17040970

#SPJ1

6 0
1 year ago
Savings accounts are never guaranteed by a government agency.<br> O True<br> O False
sveticcg [70]
True because the government doesn’t fall under financial institutions it only invests for its citizens
3 0
3 years ago
Read 2 more answers
Is this a linear function?
Artemon [7]

Answer:

No

Step-by-step explanation:

No

Because a linear function is the form as

f(x)=ax+b

the highest exponent is one

and the graph is a line in the case of

p(x)=3x^2-4

is a parabola, not a line

8 0
3 years ago
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