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zepelin [54]
3 years ago
6

Write the equation in standard form. 0.5x = y - 4

Mathematics
2 answers:
Amanda [17]3 years ago
6 0

Answer:

y=0.5x+4

Step-by-step explanation:

0.5x= y-4

add 4 on both sides

and then you get:

y=0.5x+4

Nadusha1986 [10]3 years ago
5 0

Answer:

y = 0.5x + 4, or y = 1/2x + 4 (if you prefer fractions)

Step-by-step explanation:

y = mx + b (slope intercept form / standard form) ; m = 0.5 or 1/2, b = 4.

m = linear coefficient/slope(denoted by <u>a</u> in a 1 degree binomial)

b = constant coefficient / y-intercept (denoted by <u>b</u> in a 1 degree binomial)

to convert this equation into a standard form equation. You need to isolate y and leave the coefficients on the other side.

0.5x = y - 4

0.5x (+4) = y - 4 (+4)

0.5x + 4 = y

y = 0.5x + 4

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A rectangle’s base is 6 cm longer than its height. The rectangle’s area is 135 cm2. Find this rectangle’s dimensions. You must i
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Area of a rectangle  =  length x height

Area = 135

Height = X

Lenght = x +6

135 = x * x+6

Simplify:

135 = x^2 +6x

Subtract 135 from both sides:

x^2 + 6x - 135 = 0

Solve:

2 numbers when added need to equal 6 and when multiplied equal -135

x = 9 and x = -15

The height can't be a negative number so the height is 9

Length =  9 +6 = 15

Height = 9cm, Length = 15 cm

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4 years ago
What base side length does the rectangular prism need to have the same volume??????
valkas [14]
Because you know that both the rectangular prism and the rectangular prism have the same volume, you can divide 588 cm^3 by 12cm to find the area of the base and get 49 cm^2. The base of the rectangular prism is x^2 so to solve just find the square rootof 49 cm^2 to get the side lengths (7 cm).

Hope this helped
7 0
3 years ago
A line is written in standard form Ax + By = 0, where A and B are not
cricket20 [7]

Answer:

A point that must lie on this line is the origin (0,0)

Step-by-step explanation:

we know that

The equation of the line in standard form is equal to

Ax+By=C

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B and C are integer

In this problem

C=0

so

Ax+By=0

That means, that the line represent a proportional relationship between the variables x and y

Remember that in a proportional relationship the line passes through the origin

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3 years ago
29+10j= -11<br> Find the value for j
Nezavi [6.7K]
<span>29+10j= -11
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7 0
3 years ago
Read 2 more answers
Can someone help.
r-ruslan [8.4K]

Answer:

m∠C = 38°  (nearest whole number).

Step-by-step explanation:

To find the missing angle, use the Sine Rule.

<u>Sine Rule</u> (for angles)

\sf \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}

where:

  • A, B and C are the angles
  • a, b and c are the sides opposite the angles

Given:

  • A = 53°
  • a = 18
  • c = 14

To find m∠C, substitute the given values into the formula and solve for C:

\implies \sf \dfrac{\sin 53^{\circ}}{18}=\dfrac{\sin C}{14}

\implies \sf \sin C= \dfrac{14 \sin 53^{\circ}}{18}

\implies \sf C= \sin^{-1} \left( \dfrac{14 \sin 53^{\circ}}{18}\right)

\implies \sf C= 38.40096301...^{\circ}

Therefore, m∠C = 38°  (nearest whole number).

Learn more about the sine rule here:

brainly.com/question/27089170

brainly.com/question/27704834

5 0
2 years ago
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