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Lelu
2 months ago
8

A line contains (34,12) and (32,48) what is the slope of the line in simplified form? HELP ASAPl

Mathematics
1 answer:
Zina [12.3K]2 months ago
4 0

Response:

m=-18

Step-by-step explanation:

1. The line includes the points (34,12) and (32,48). Then, apply the slope formula, which is:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

2. By substituting values into the formula, you will get:

y_{2}=48\\y_{1}=12\\x_{2}=32\\x_{1}=34

m=\frac{48-12}{32-34}\\m=\frac{36}{-2}\\m=-18

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Which are the roots of the quadratic function f(b) = b2 – 75? Select two options. b = 5 StartRoot 3 EndRoot b = Negative 5 Start
zzz [12365]

Answer:

b = 5√3

b = -5√3

Step-by-step explanation:

We have

f(b)=b^{2}-75

Keep in mind, the root of a function corresponds to the value of x at which the function's output is zero.

In this case

The roots of the equation are the b values for which f(b) equals zero.

Thus

For f(b)=0

b^{2}-75=0

b^{2}=75

Take the square root of both sides

b=(+/-)\sqrt{75}

Now simplify

b=(+/-)5\sqrt{3}

b=5\sqrt{3}  and b=-5\sqrt{3}

So we find that

b = 5√3

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If hair grows at a rate of approximately 0.44 mm per day, how many
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1 month ago
În vacanța de vară, Mihai, Maria și
Leona [12618]

Răspuns:

Mihai = 12kg

Maria = 15kg

Teodor = 13 kg

Explicație pas cu pas:

Să folosim x pentru cantitatea de plante medicinale adunate de Mihai.

Să denumim y cantitatea adunată de Maria.

Fie z cantitatea de plante medicinale adunate de Teodor.

În vacanța de vară, Mihai, Maria și Teodor au adunat în total 48 de kilograme de mentă;

x + y + z = 48......... 1

Dacă Maria a adunat cu 3 kilograme mai mult decât Mihai, atunci y = x + 3..... 2

Dacă Teodor a adunat de două ori mai puțin decât Mihai, atunci z = y - 2

Deci, z = (x + 3) - 2

Astfel, z = x + 1.... 3

Înlocuim ecuațiile 3 și 2 în ecuația 1;

<pDin ecuația 1:

x + y + z = 40

x + (x + 3) + (x + 1) = 40

3x + 4 = 40

Scădem 4 din ambele părți

3x = 36

x = 12

Substituim x = 12 în ecuația 2 pentru a determina y

y = x + 3

y = 12 + 3

y = 15

De asemenea, z se calculează astfel: z = x + 1

z = 12 + 1

z = 13

Astfel, Mihai a recoltat 12 kg de plante medicinale, Maria a adunat 15 kg, iar Teodor a strâns 13 kg.

8 0
3 months ago
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