You are given the height of the building and the length of the shadow the building gives, so you can set that up as a proportion of Height of building over the length of the shadow so 31/28.
Now you can set the same proportion for Julian, using X for her height, so you would have x/6.
To solve for her height, set the two proportions equal and solve for x:
31/28 = x/6
Cross multiply:
31 * 6 = 28 *x
186 = 28x
Divide both sides by 28:
x = 186 / 28
x = 6.64 feet tall
Their weights would be different from another, because of the mass of the wood. Sure, they may have the same dimensions, but does a square of feathers weigh as much as a square of metal?
Let's use the point-slope formula...
<em>y-y1=m(x-x1)
</em>
<em>m is the slope.
</em>
<em>y--9=7(x--2)
</em>
<em>Subtracting a negative number is the same as adding a positive number...
</em>
<em>y+9=7(x+2)
</em>
<em>y+9=7x+14
</em>
<em>Let's subtract 9 from both sides...
</em>
<em>-9+y+9=7x+14-9
</em>
<em>y=7x+5
</em>
<em>The formula is now in the format of...
</em>
<em>y=mx+b
</em>
<em>This is known as slope-intercept.
</em>
<em>m is the slope.
</em>
<em>b is the y-intercept, the value of y when x=0.
</em>
<em>Standard formula is...
</em>
<em>Ax+By=C
</em>
<em>Neither A nor B equal zero.
</em>
<em>A is greater than zero.
</em>
<em>y=7x+5
</em>
<em>Let's move 7x to the left side of the equation. It becomes negative.
</em>
<em>-7x+y=5
</em>
<em>Let's multiply both sides by -1 to render A greater than zero.
</em>
<em>-1(-7x+y)=(5)(-1)
</em>
<u>7x-y=-5
</u>
<u>This is the equation in standard form.</u>
Answer:
(1, - 3 )
Step-by-step explanation:
Using the translation rule (x, y ) → (x + 2, y + 1 ), then
B(- 1, 2 ) → (- 1 + 2, 2 + 1) → (1, 3 )
Under a reflection in the x- axis
a point (x, y ) → (x, - y ), thus
(1, 3 ) → (1, - 3 )
Answer:
3
Step-by-step explanation:
all you have to do is solve it:)
