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3 years ago

3x3 + 9x2 - 15x What's the answer

Mathematics

2 answers:

VladimirAG [237]3 years ago

5 0

Answer:

3x(x^2+3x-5)

Step-by-step explanation:

eimsori [14]3 years ago

4 0

Answer:

3x(x^2+3x-5) - factorised

Step-by-step explanation:

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3 geometry questions, 30 points!

polet [3.4K]

Answer:

A ) The value of x for the given circle with chords and center is 8.3

B) The circumference of circle with chords 1.2 cm and 0.5 cm is 4.082

Step-by-step explanation:

Given two figures :

<u>For Figure first </u>

A circle with center y , having two chords FM and NM

FM = 5 x

MN = 2 x + 25

Now from theorem of circle ,

Chords equidistant from center of circle are equal in length

I.e distance of chord MN from center y and distance of FM from center y are equal

So, FM = MN

Or, 5 x = 2 x + 25

Or, 5 x - 2 x = 25

Or, 3 x = 25

∴ x = $\frac{25}{3}$ = 8.33

<u>For figure second</u>

The length of two adjacent chords of circle is 1.2 cm and 0.5 cm

Let the center of circle = O

Length of chord AB = 1.2 cm

Length of chord BC = 0.5 cm

As both chords are at 90° to each other

So The Length of diameter of circle AC = $\sqrt{AB^{2}+BC^{2}}$

Or, The Length of diameter of circle AC = $\sqrt{1.2^{2}+0.5^{2}}$

Or, The Length of diameter of circle AC = $\sqrt{1.44+0.25}}$

Or, The Length of diameter of circle AC = $\sqrt{1.69}$

∴ The Length of diameter of circle AC = 1.3 cm

So, Circumference of circle = $\pi d$

Or, Circumference of circle = 3.14 × 1.3

∴ Circumference of circle = 4.082 cm

Hence,

A ) The value of x for the given circle with chords and center is 8.3

B) The circumference of circle with chords 1.2 cm and 0.5 cm is 4.082 Answer

8 0

2 years ago

Read 2 more answers

Michelle is making a scale model of her favorite car. The actual car is 8 feet long and 4 feet wide. Michelle wants her model to

AfilCa [17]

Answer:

6 inches

Step-by-step explanation:

It is given that :

Length of the actual car = 8 feet

Width of the actual car is = 4 feet

Michelle is making a model of her car.

The length of her model car = 12 inches

Therefore, the ration is 3 : 2

So the width of the model car = 4 x 3/2

= 6 inches

7 0

2 years ago

On a certain hot summer's day, 321 people used the public swimming pool. The daily prices are $1.75 for children and $2.00 for a

Paul [167]

Answer:

31 children and 290 adults

Step-by-step explanation:

Let a = number of adults and c = number of children.

a + c = 321

2a + 1.75c = 634.25

Multiply both sides of the the first equation by -2 and add it to the second equation.

-2a - 2c = -642

(+) 2a + 1.75c = 634.25

--------------------------------------

-0.25c = -7.75

Divide both sides by -0.25

c = 31

Use the first equation to find a.

a + c = 321

Substitute 31 for c.

a + 31 = 321

Subtract 31 from both sides.

a = 290

Answer: 31 children and 290 adults

5 0

2 years ago

Read 2 more answers

What is an equation for the linear function whose graph contains the points (−1, −2) and (3, 10)

sladkih [1.3K]

The equation of a line starting from two points is:
$y-y_1=\frac{y_2-y_1}{x_2-x_1} \cdot (x-x_1)$

From the first point you get: x1 = -1, y1 = -2
From the second point you get: x2 = 3, y2 = 10

Replace x1, y1, x2, y2 in the equation of the line and you get:
$y+2=\frac{10+2}{3+1} \cdot (x+1)$
$y+2=\frac{12}{4} \cdot (x+1)$
$y+2=3 \cdot (x+1)$

From this you get the equation of your line:
$y(x)=3x+1$

4 0

3 years ago

Read 2 more answers

the ratio of the sides of a certain triangle is 2:7:8 if the longest side of the triangle is 40cm how long are the other two sid

Zigmanuir [339]

The length of the other two sides is 10 and 35 respectively.

<h3>What is a ratio?</h3>

A ratio is a quantitative relation showing the comparison between two or more numbers. It can also be written in the fractional form where the first part is the numerator and the second part is called the denominator.

From the given information: