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d1i1m1o1n [39]
3 years ago
12

What is y - 2 = 3(x – 7) written in standard form?

Mathematics
1 answer:
Tatiana [17]3 years ago
6 0

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y - 2 = 3(x - 7)

y - 2 = 3x - 21

Add sides 2

y - 2 + 2 = 3x - 21 + 2

y = 3x - 19

Subtract sides 3x

- 3x + y =  - 3x + 3x - 19

- 3x + y =  - 19

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

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If the diameter of a circle is 6 inches, how long is the arc subtended by an angle measuring 70°?
yaroslaw [1]
Since the diameter of the circle is 6 inches, then the radius will be half that, or 3 inches,

\bf \textit{arc's length}\\\\
s=\cfrac{r\pi \theta }{180} \quad 
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad degrees\\
------\\
r=3\\
\theta =70
\end{cases}\implies s=\cfrac{3\cdot \pi \cdot 70}{180}\implies s=\cfrac{7\pi }{6}
6 0
3 years ago
A manufacturing process makes rods that vary slightly in length but follow a normal distribution with mean length 25 cm and stan
Galina-37 [17]

Answer:

The probability of randomly selecting a rod that is shorter than 22 cm

P(X<22)  = 0.1251

Step-by-step explanation:

<u><em>Step(i):</em></u>-

Given mean of the Population = 25cm

Given standard deviation of the Population = 2.60

Let 'x' be the random variable in normal distribution

Given x=22

Z = \frac{x-mean }{S.D} = \frac{22-25}{2.60} = -1.15

<u><em>Step(ii):</em></u>-

The probability of randomly selecting a rod that is shorter than 22 cm

P(X<22) = P( Z<-1.15)

             = 1-P(Z>1.15)

             =  1-( 0.5+A(1.15)

             =  0.5 - A(1.15)

             = 0.5 - 0.3749

             = 0.1251

The probability of randomly selecting a rod that is shorter than 22 cm

P(X<22)  = 0.1251

7 0
3 years ago
6. A factory has two types of machines.
Pie

210 pieces

Step-by-step explanation:

First, you need to figure out how many pieces a single machine can cut in a minute, so you need to divide 105 by 3, which gets you 35 pieces per minute.

Next, since we know there are 6 machines, and one machine canncut 35 pieces per minute, we can the figure out how many pieces all 6 cutting machines can cut in 1 minute. You would do this by making an equation such as this:

35 \times 6 = x

The x represents the total number of pieces cut by all 6 machines in one minute.

Next, since we now have an equation, we can go ahead and solve it. We would multiply 35 by 6, which would get us 210 pieces per minute that can be cut by all six machines

8 0
3 years ago
Read 2 more answers
A cylinder has a surface area of 502.4 square inches and a height of 11 inches. What is the volume? PLEASE HELP!!
I am Lyosha [343]

Answer:

V≈ 863.27 in³

Step-by-step explanation:

6 0
2 years ago
Helppppp god bless u
Vanyuwa [196]
Lets be a price of the calculator - $ a
then , after using the coupon, you need to pay $(a-18)
and after using 15% discount , you need to pay (1-0.15)a=0.85a

then, if 
(a-18) will be more than 0.85a, you should prefer 0.15 % discount, because it will be cheaper,

a-18> 0.85a
a-0.85a>18
0.15a > 18
a>120, that means that if the price of the calculator more than $120, 15% discount is better,
but if the price of the calculator is less than $120, you should choose $ 18 coupon.

for example, we have the price of the calculator $100
100-18=82,
100*0.85 =85, coupon is better.

If the price of the calculator $200
200-18=182,
200*0.85=170, so 15% discount is better

if price of the calculator is $120,
120-18=102
120*0.85=102, 
it will not matter, what you are going to use, because you are going to pay the same amount of money





5 0
3 years ago
Read 2 more answers
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