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liberstina [14]

2 years ago

6

Transform the equation y-2=3(x+1) into standard form.

1 answer:

Anna35 [415]2 years ago

5 0

ANSWER:

The 1st one: -3x + y = 5

ABOUT STANDARD FORM:

Ax + By = C
A & B & C are integers
A & B are both non - zero
This form is good to use when wanting to find the x & y intercepts of a line

y - 2 = 3(x + 1) --- IN POINT SLOPE FORM

y - 2 = 3x + 3

+ 2 + 2

y = 3x + 5 --- IN SLOPE INTERCEPT FORM

-3x -3x

-3x + y = 5 --- STANDARD FORM

Hope this helps you!!! :)

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Plz help me with this math and also explain

jasenka [17]

Step-by-step explanation:

<h2>[1]</h2>

SI = $250
Rate (R) = 12 $\sf \dfrac{1}{2}$ %
Time (t) = 4 years

$\longrightarrow \tt { SI = \dfrac{PRT}{100} } \\$

$\longrightarrow \tt { 250 = \dfrac{P \times 12\cfrac{1}{2} \times 4}{100} } \\$

$\longrightarrow \tt { 250 = \dfrac{P \times \cfrac{25}{2} \times 4}{100} } \\$

$\longrightarrow \tt { 250 = \dfrac{P \times 25 \times 2}{100} } \\$

$\longrightarrow \tt { 250 = \dfrac{P \times 50}{100} } \\$

$\longrightarrow \tt { 250 \times 100 = P \times 50} \\$

$\longrightarrow \tt { 25000 = P \times 50} \\$

$\longrightarrow \tt { \dfrac{25000}{50} = P } \\$

$\longrightarrow \underline{\boxed{ \green{ \tt { \$ \; 500 = P }}}} \\$

Therefore principal is $500.

<h2>__________________</h2>

<h2>[2]</h2>

2/7 of the balls are red.
3/5 of the balls are blue.
Rest are yellow.
Number of yellow balls = 36

Let the total number of balls be x.

→ Red balls + Blue balls + Yellow balls = Total number of balls

$\longrightarrow \tt{ \dfrac{2}{7}x + \dfrac{3}{5}x + 36 = x} \\$

$\longrightarrow \tt{ \dfrac{10x + 21x + 1260}{35} = x} \\$

$\longrightarrow \tt{ \dfrac{31x + 1260}{35} = x} \\$

$\longrightarrow \tt{ 31x + 1260= 35x} \\$

$\longrightarrow \tt{ 1260= 35x-31x} \\$

$\longrightarrow \tt{ 1260= 4x} \\$

$\longrightarrow \tt{ \dfrac{1260 }{4}= x} \\$

$\longrightarrow \underline{\boxed{ \tt { 315 = x }}} \\$

Total number of balls is 315.

A/Q,

3/5 of the balls are blue.

$\longrightarrow \tt{ Balls_{(Blue)} =\dfrac{3 }{5}x} \\$

$\longrightarrow \tt{ Balls_{(Blue)} =\dfrac{3 }{5}(315)} \\$

$\longrightarrow \tt{ Balls_{(Blue)} = 3(63)} \\$

$\longrightarrow \underline{\boxed{ \green {\tt { Balls_{(Blue)} = 189 }}}} \\$

8 0

2 years ago

There are 38 roses, 35 tulips, and 22 lilies. The Commutative

Sever21 [200]

there isnt a list of options given but should be something like

38 + 35 + 22 = 22 + 35 + 38

or maybe

38r + 35t + 22l = 22l + 35t + 38r

it equals 95

3 0

1 year ago

<img src="https://tex.z-dn.net/?f=1-%20%5Cfrac%7Bx%7D%7B2%7D%20%5C%20%20%5Ctextgreater%20%5C%20%20-4" id="TexFormula1" title="1-

Nat2105 [25]

Answer:

$x$

Step-by-step explanation:

$1 - \frac{x}{2} > -4$

$-\frac{x}{2} > -5$

$x$

7 0

1 year ago

Read 2 more answers

PLEASE HELPPPPP WILL GIVE BRAINLIEST

FinnZ [79.3K]

Answer:

the value of the variable x is 16

Step-by-step explanation:

$given \: expression \\ \frac{5}{8}x = \frac{1}{2} x + 2 \\ substract \: \frac{1}{2} x from \: both \: sides \\ \frac{5}{8}x - \frac{1}{2} x = \frac{1}{2} x - \frac{1}{2} x + 2 - \frac{1}{2} x \\ factor \: out \: common \: x \\ x( \frac{5}{8} - \frac{1}{2} ) = \frac{1}{8} \\ simplify \\ \frac{1}{2} x + 2 - \frac{1}{2} x \: \frac{1}{2} x - \frac{1}{2} x = 0 = 2 \\ \frac{1}{8} x = 2 \\ multiply \: both \: sides \: by \: 8 \\ 8. \frac{1}{8} x = 2.8 \\ simplify \\ x = 16.$

6 0

11 months ago

Autumn cut out a triangular piece of fabric to sew on her comforter. The area of the triangle is 48 square inches, and the heigh

Step2247 [10]

$A=\dfrac{1}{2}ah\\
2A=ah\\
a=\dfrac{2A}{h}\\\\
a=\dfrac{2\cdot48}{12}\\
a=4 \Rightarrow D$

8 0

2 years ago