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2 years ago

A square has one side that is 19 cm long. What is the perimeter of the square?

2 answers:

6 0

Since a square has 4 equal sides, just do 19 + 19 + 19 + 19 which is 76. Or, 19 x 4, even though you add with permieter, it'll still work on a square.

Hope I helped!

mars1129 [50]2 years ago

4 0

Square has 4 equal sides and the peremeter is adding all the sides together and so 19 + 19 + 19 + 19 = 76

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Eduardo thinks of a number between 1 and 20 that has exactly 5 factors. What number is he thinking of?

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The number is 16. The factors are 1,2,4,8, and 16

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The Jones family has a monthly income of $6,500. The budgeted the following: Retirement savings $700, Emergency savings $550, an

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Answer:

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Step-by-step explanation:

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2 years ago

The equation x=-7ysquared describes a parabola. which way does the parabola open?

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2 years ago

Write an equation (a) in slope-intercept form and (b) in standard form for the line passing through (-3,5) and parallel to x + 4

Dmitry [639]

Answer:

$\boxed{\sf Standard-form :x + 4y -17=0 }\\$

$\boxed{\sf Slope-intercept\ form :y =\dfrac{-1}{4}x +\dfrac{17}{4}}$

Step-by-step explanation:

Here a equation of the line is given to us and we need to find out the equation of line which passes through the given point and parallel to the given line , the given equation is ,

$\longrightarrow x + 4y = 7\\$

Firstly convert it into slope intercept form of the line which is y = mx + x , as ;

$\longrightarrow 4y = -x + 7 \\$

$\longrightarrow y =\dfrac{-x}{4}+\dfrac{7}{4}\\$

On comparing it to y = mx + c , we have ,

$\longrightarrow m =\dfrac{-1}{4}\\$

$\longrightarrow c =\dfrac{7}{4}\\$

Now as we know that the slope of two parallel lines is same . Therefore the slope of the parallel line will be ,

$\longrightarrow m_{||)}=\dfrac{-1}{4}\\$

Now we may use point slope form of the line as ,

$\longrightarrow y - y_1 = m(x-x_1) \\$

On substituting the respective values ,

$\longrightarrow y - 5 =\dfrac{-1}{4}\{ x -(-3)\}\\$

$\longrightarrow y -5=\dfrac{-1}{4}(x+3)\\$

$\longrightarrow 4(y -5 ) =-1(x +3) \\$

$\longrightarrow 4y -20 = - x -3 \\$

$\longrightarrow x + 4y -20+3=0\\$

$\longrightarrow \underset{Standard \ Form }{\underbrace{\underline{\underline{ x + 4y -17=0}}}} \\$

Again the equation can be rewritten as ,

$\longrightarrow y - 5 = \dfrac{-1}{4}(x +3) \\$

$\longrightarrow y = \dfrac{-1}{4}x -\dfrac{3}{4}+5 \\$

$\longrightarrow y = \dfrac{-1}{4}x -\dfrac{20-3}{4} \\$

$\longrightarrow \underset{Slope-Intercept\ form }{\underbrace{\underline{\underline{ y =\dfrac{-1}{4}x +\dfrac{17}{4}}}}}\\$

6 0

1 year ago

What equation represents the proportional relationship displayed in the table?

KATRIN_1 [288]

Answer:

$y=6x$

Step-by-step explanation:

Given:

The table is given as:

x 0 4 7 8

y 0 24 42 48

The relationship between 'x' and 'y' is a proportional relationship.

A proportional relationship is one in which one variable varies directly with the other by a factor of 'k' also known as constant of proportionality and $k\ne 0$

A proportional relationship is given as:

$y=kx$

Now, we plug in 'x' and 'y' values and find the value of 'k'.

Let $x=4\ and\ y=24$

$24=k\times 4\\\\k=\frac{24}{4}=6$

Therefore, the constant of proportionality is 6. Hence the complete equation is given as:

$y=6x$

3 0

2 years ago