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3 years ago

Write y=1/8x+7 in standard form using integers.

2 answers:

6 0

This is a linear function in the slope - intercept form:
y = m x + b and we need a standard form:
a x + b y = c
y = 1/8 x + 7 / * 8 ( we will multiply both sides of equation by 8 )
8 y = x + 56
- x + 8 y = 56 / * ( - 1 )
x - 8 y = - 56

DIA [1.3K]3 years ago

6 0

The equation is y = 1/8x + 7

Standard form equation is Ax + By = C, where A > = 0.

First eliminate the fractions by multiplying the equation by 8

8y = x + 56

Subtract x from each side

-x + 8y = 56

SInce x coeficient can't be negative multiply the equation by negative one.

x - 8y = -56

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3 years ago

Substitution to solve the linear system

STALIN [3.7K]

y=4x+2. eq1

y=5x. eq2

4x=2-y

x=(2-y) /4

substitute in equation 2

y=5(2-y) /2

y=(10-5y)/2

4y=10-5y

9y=10

y=10/9

substitute in equation 2 or 1

substituting in equation 2

10/9=5x

x=10/45

x=10/45 y=10/9

you can verify it also.

HOPE IT HELPS!!

5 0

4 years ago

GEOMETRY PROOFS!

Elis [28]

Given that:

In ∆AMN and ∆TPE

MA = PE (Side )

∠AMN = ∠TPE (angle)

MN = PT (Side)

By SAS Property

∆ MAN =~ ∆ PET

∆ MAN =~ ∆ PET are congruent triangles .

<u>Answer:-</u> ∆ MAN =~ ∆ PET

<em>Additional</em><em> comment</em><em>:</em>

SAS Property:-

In two triangles , The two sides and the included angle are equal to the corresponding two sides and the included angle of the second triangle then they are congruent and this property is called Side-Angle-Side (SAS) Property.

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Geometry Proof: Given: ∠1 ≅ ∠2 ∠3 ≅ ∠4 Prove: M is the midpoint of JK

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3 0

3 years ago

Part 2: NO LINKS!! NOT MULTIPLE CHOICE! Please help me

Dmitry_Shevchenko [17]

Answer:

(see attachment for tree diagram)

$\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}$

$\textsf{P(Head) and P(3)}=\sf \dfrac{1}{2} \times \dfrac{1}{6}=\dfrac{1}{12}$

$\textsf{P(Tail) and P(even)}=\sf \dfrac{1}{2} \times \dfrac{3}{6}=\dfrac{3}{12}=\dfrac{1}{4}$

$\textsf{P(not 6)}=\sf 1-\textsf{P(6)}=1-\dfrac{1}{6}=\dfrac{5}{6}$

$\implies \textsf{P(Head) and P(not 6)}=\sf \dfrac{1}{2} \times \dfrac{5}{6}=\dfrac{5}{12}$

As the six-sided die does not have a side labelled "7", the probability of rolling a 7 is zero.

$\implies \textsf{P(Head) and P(7)}=\sf \dfrac{1}{2} \times 0=0$

7 0

2 years ago

a furniture shop refinshes cabinets. employees use one of two methods to refinish each cabinet. method 1 takes 1 hour and the ma

Margaret [11]

Answer:

70 cabinets in method 1 and 24 cabinets in method 2.

Step-by-step explanation:

Let in method 1 they refinish x cabinets and in method 2 they refinish y cabinets.

Now, given that method 1 and method 2 takes 1 hour and 1.5 hours respectively and the material costs for method 1 and method 2 are $6 and $4 respectively.

If they plan to spend 106 hours in labour and $516 in material for refinishing cabinets, then

x + 1.5y = 106 ...... (1) and

6x + 4y = 516 ....... (2)

Now, solving equations (1) and (2), we get

6 (106 - 1.5y) + 4y = 516

⇒ 5y = 636 - 516

⇒ y = 24 cabinets

From equation (1) x = 106 - 1.5y = 106 - 36 = 70 cabinets. (Answer)

3 0

3 years ago