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Otrada [13]
3 years ago
13

Consider the following construction.

Mathematics
1 answer:
fenix001 [56]3 years ago
8 0

Answer:

D

Step-by-step explanation:

I just answered it on a test its D “ Without changing the width of the compass..”

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2x(9-5x) - (-4x-36x)
allochka39001 [22]
I got 48x
First by distributing 2x to 9-5x=
18x-10x
Then adding a 1 in front of - making -4x-36x to 4x+36x=40x
8x+40x=48x
7 0
3 years ago
A baseball is thrown in a parabolic arc. It's position above the ground at a given point in time
FinnZ [79.3K]

If the ball was thrown straight up at 24 ft/sec when it was 5 ft above the ground, the ball reached a maximum height of 7.25 m

\texttt{ }

<h3>Further explanation</h3>

Discriminant of quadratic equation ( ax² + bx + c = 0 ) could be calculated by using :

<h2>D = b² - 4 a c</h2>

From the value of Discriminant , we know how many solutions the equation has by condition :

D < 0 → No Real Roots

D = 0 → One Real Root

D > 0 → Two Real Roots

\texttt{ }

An axis of symmetry of quadratic equation y = ax² + bx + c is :

\large {\boxed {x = \frac{-b}{2a} } }

Let us now tackle the problem!

\texttt{ }

<u>Given:</u>

p(t) = 3gt^2 + v_ot + p_o

p(t) = 3(-32)t^2 + 24t + 5

p(t) = -64t^2 + 24t + 5

<u>Asked:</u>

p_{max} = ?

<u>Solution:</u>

<em>At the maximum height , velocity is 0 m/s:</em>

v = \frac{dp(t)}{dt}

v = \frac{d}{dt} ( -64t^2 + 24t + 5 )

v = (-64)(2)t^{2-1} + 24

v = -128t + 24

0 = -128t + 24

128t = 24

t = 24 \div 128

t = 3 \div 16

t = 0.1875 \texttt{ s}

\texttt{ }

p(t) = -64t^2 + 24t + 5

p(0.1875) = -64(0.1875)^2 + 24(0.1875) + 5

p(0.1875) = 7.25 \texttt{ m}

\texttt{ }

<h3>Learn more</h3>
  • Solving Quadratic Equations by Factoring : brainly.com/question/12182022
  • Determine the Discriminant : brainly.com/question/4600943
  • Formula of Quadratic Equations : brainly.com/question/3776858

\texttt{ }

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Quadratic Equations

\texttt{ }

Keywords: Quadratic , Equation , Discriminant , Real , Number

#LearnWithBrainly

3 0
3 years ago
Read 2 more answers
ABCD is a rectangle. Find the measure of angle α to the nearest degree.
kodGreya [7K]

Answer:

α ≈ 76°

Step-by-step explanation:

The vertices of a rectangle are right , that is 90°

Using the tangent ratio in right triangle ABC

tanα = \frac{opposite}{adjacent} = \frac{BC}{AB} = \frac{12}{3} = 4, then

α = tan^{-1} (4) ≈ 76° ( to the nearest degree )

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3 years ago
How do I solve the problem 5×7/10
katovenus [111]
Multiply 5*7, then take that product and divide by 10.
3 0
3 years ago
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The sixth-grade art students are making a mosaic using tiles in the shape of right triangles. Each tile has leg measures of 3 ce
Mice21 [21]
The area of the mosaic would be 1500 cm^2
8 0
3 years ago
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