Answer:
An equation parallel to 4x + 5y = 19 would be y = -4/5x +12.
An equation perpendicular to 4x + 5y = 19 would be y = 5/4x + 10.
Step-by-step explanation:
The equation given represents a linear equation in Standard Form (Ax + By = C). Lines that are parallel to each other go the same direction and don't touch, so their slopes must be the same. However, lines that are perpendicular go in opposite directions and intersect, so their slopes must be the direct opposite of each other. In order to find the slope, you must first convert from the Standard Form given to Slope Intercept Form (y = mx +b). When you solve the given equation for 'y', you get: y = -4/5x + 19, where the slope = -4/5. To make a parallel equation, simply keep the same slope and choose a different y-intercept ('b'). To make a perpendicular equation, take the direct opposide of your slope 5/4 (positive) and choose a different y-intercept.
Answer:
a.....Naeem's work
Step-by-step explanation:
i just took the the test i got it right
Answer:
(3, - 5 )
Step-by-step explanation:
Under a clockwise rotation about the origin of 270°
a point (x, y ) → (- y, x ), hence
Z(5, - 3 ) → Z'(3, - 5 )
Answer:
When a figure or shape is dilated , the size of the figure either enlarges or shrank without changing its actual shape.
Shape or figure after dilation is similar to original figure.
If the scale or factor of dilation is greater than 1 the shape enlarges.
If the scale factor lies between 0<scale factor<1, then the figure shrinks i.e size reduces.
So out of all the options given →It has the same shape as the original and is smaller than the original figure.
Answer:
<h2>x = 3.1</h2>
Step-by-step explanation:
<h3>
</h3>
<u>To solve first take logarithm to both sides</u>
That's
<h3>
</h3><h3 /><h3>
</h3>
But
<h3>
</h3>
So we have
<u>Write 1200 as a number with the factor 100</u>
That's
1200 = 100 × 12
So we have
<h3>
</h3>
<u>Using the rules of logarithms</u>
That's
<h3>
</h3>
Rewrite the expression
That's
<h3>
</h3><h3 /><h3>
</h3><h3>
</h3><h3>
</h3><h3 /><h3>
</h3>
x = 3.079
So we have the final answer as
<h3>x = 3.1 to one decimal place</h3>
Hope this helps you
