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Dimas [21]
3 years ago
10

If p = q and q = r then p = r

Mathematics
1 answer:
erma4kov [3.2K]3 years ago
7 0

Answer:

Syllogism, or C.

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(please help, im taking an exam rn) Solve for T.
spin [16.1K]

Answer:

(6b+4)/r=t

Step-by-step explanation:

b=(rt-4)/6

multiply by 6

6b=rt-4

add 4

6b+4=rt

divide by r

(6b+4)/r=t

3 0
2 years ago
Read 2 more answers
Segment AB is congruent to segment AB.
galben [10]

Step-by-step explanation:

i don't know sister/ boy

7 0
3 years ago
A juggler tosses a ball into the air . The balls height, h and time t seconds can be represented by the equation h(t)= -16t^2+40
malfutka [58]
PART A

The given equation is

h(t) = - 16 {t}^{2} + 40t + 4

In order to find the maximum height, we write the function in the vertex form.

We factor -16 out of the first two terms to get,

h(t) = - 16 ({t}^{2} - \frac{5}{2} t) + 4

We add and subtract

- 16(- \frac{5}{4} )^{2}

to get,

h(t) = - 16 ({t}^{2} - \frac{5}{2} t) + - 16( - \frac{5}{4})^{2} - -16( - \frac{5}{4})^{2} + 4

We again factor -16 out of the first two terms to get,

h(t) = - 16 ({t}^{2} - \frac{5}{2} t + ( - \frac{5}{4})^{2} ) - -16( - \frac{5}{4})^{2} + 4

This implies that,

h(t) = - 16 ({t}^{2} - \frac{5}{2} t + ( - \frac{5}{4}) ^{2} ) + 16( \frac{25}{16}) + 4

The quadratic trinomial above is a perfect square.

h(t) = - 16 ( t- \frac{5}{4}) ^{2} +25+ 4

This finally simplifies to,

h(t) = - 16 ( t- \frac{5}{4}) ^{2} +29

The vertex of this function is

V( \frac{5}{4} ,29)

The y-value of the vertex is the maximum value.

Therefore the maximum value is,

29

PART B

When the ball hits the ground,

h(t) = 0

This implies that,

- 16 ( t- \frac{5}{4}) ^{2} +29 = 0

We add -29 to both sides to get,

- 16 ( t- \frac{5}{4}) ^{2} = - 29

This implies that,

( t- \frac{5}{4}) ^{2} = \frac{29}{16}

t- \frac{5}{4} = \pm \sqrt{ \frac{29}{16} }

t = \frac{5}{4} \pm \frac{ \sqrt{29} }{4}

t = \frac{ 5 + \sqrt{29} }{4} = 2.60

or

t = \frac{ 5 - \sqrt{29} }{4} = - 0.10

Since time cannot be negative, we discard the negative value and pick,

t = 2.60s
8 0
3 years ago
What is 2.8 as a fraction in simpliest form
Leto [7]
<span>2 4/5 or 14/5. Hope that helps! :D

</span>
6 0
3 years ago
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Solve (x + 2 &lt; 5) ∩ (x - 7 &gt; -6).
garri49 [273]

Let A=x+2\lt5, B=x-7\gt6.

Simplifying both you get A=x\lt3,B=x\gt1.

The set conjunction is A\cap B=1\lt x\lt3.

So the answer is B.

Hope this helps.

3 0
2 years ago
Read 2 more answers
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