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3 years ago

Solve for d -6 - d = 6 - 4d

Mathematics

1 answer:

snow_tiger [21]3 years ago

7 0

Answer:

d = 4

Step-by-step explanation:

- 6 - d = 6 - 4d ( add 4d to both sides )

- 6 + 3d = 6 ( add 6 to both sides )

3d = 12 ( divide both sides by 3 )

d = 4

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Solve the system by substitution. y = -4x 23 - 5y = 44

spin [16.1K]

<h3>Explanation</h3>

Given the system of equations.

$\begin{cases} y = - 4x \\ 23 - 5y = 44 \end{cases}$

Substitute y = -4x in the second equation.

$23 - 5( - 4x) = 44 \\ 23 + 20x = 44 \\ 20x = 44 - 23 \\ 20x = 21 \\ x = \frac{21}{20}$

Substitute the value of x in any given equations. I will substitute the value of x in the first equation.

$y = - 4x \Longrightarrow y = - 4( \frac{21}{20} ) \\ y = \cancel{ - 4}( \frac{21}{ \cancel{20}} ) \Longrightarrow y = - \frac{21}{5} \\ y = - \frac{21}{5}$

Answer Check by substituting both values in two equations.

First Equation

$y = - 4x \Longrightarrow - \frac{21}{5} = - 4( \frac{21}{20} ) \\ - \frac{21}{5} = \cancel{ - 4}( \frac{21}{ \cancel{20}} ) \\ - \frac{21}{5} = - \frac{21}{5} \: \: \: \checkmark$

Second Equation

$23 - 5y = 44 \\ 23 - 5( - \frac{21}{5} ) = 44 \\23 - \cancel{5}( - \frac{21}{ \cancel{5}} ) = 44 \\ 23 + 21 = 44 \\ 44 = 44 \: \: \: \: \checkmark$

Both equations are true for the value of x and value of y.

<h3>Answer</h3>

 $\begin{cases} x = \frac{21}{20} \\ y = - \frac{21}{5} \end{cases}$ 

Coordinate Point form

$( \frac{21}{20} , - \frac{21}{5} )$

5 0

3 years ago

A small hexagon was graphed on a coordinate plane. By what scale factor was the hexagon dilated to create the larger hexagon?

suter [353]

Consider the point where the hexagons meet the positive half of the y axis.

The inner hexagon meets the axis at $y=4$ , whereas the outer hexagon meets the axis at $y = 6$

So, we're looking for a dilation constant $k$ such that

$4k = 6$

So, solving by k we have

$k = \dfrac{6}{4} = \dfrac{3}{2}$

6 0

3 years ago

Read 2 more answers

Use the Pythagorean Theorem to solve for the missing side length. Round to the nearest tenth if necessary.

Ede4ka [16]

Answer:

B= 6

Step-by-step explanation:

pythagorean theorem formula is a² + b² = c²

so: 8² + b² = 10²

then: 64 + b² = 100

subtract 64 from both sides to get b²= 36

square root 36 and you get 6 for b

answer: B= 6

8 0

2 years ago

Tristan is working two summer jobs, making $7 per hour babysitting and $19 per hour lifeguarding. Tristan must earn at least $21

rodikova [14]

Answer: 7bb +19 ll ≥210

Step-by-step explanation:

Hi, to answer this question we have to write an inequality:

The product of the number of hours he works babysitting (bb) and the amount he earns per hour (7); plus The product of the number of hours he works lifeguarding (ll) and the amount he earns per hour 19; must be higher or equal to the amount he must earn this week (210)

Mathematically speaking:

7 bb + 19 ll ≥210

6 0

3 years ago

If point Q does not lie on the x-axis or the y-

Harman [31]

E. II or IV only because it will have different signs if point Q was in either of those quadrants

4 0

2 years ago