Answer:
factorisation
Step-by-step explanation:
<span>x/9 = 8/36 </span>
<span>x = 9 * 8/36 [multiplying each side by 9] </span>
<span>x = 2 </span>
<span> </span>
<span>x/90 = 4.4/12 </span>
<span>x = 90 * 4.4/12 [multiplying each side by 90] </span>
<span>x = 33 </span>
<span>Both proportions should be expressed as lemon juice to water, or water to lemon juice. Either way would give a correct answer: </span>
<span>2/7 = j/28 [lemon juice to water] </span>
<span>8 = j [multiplying each side by 28] </span>
<span>7/2 = 28/j [water to lemon juice] </span>
<span>7j = 56 [multiplying each side by 2j] </span>
<span>j = 8 [dividing each side by 7] </span>
<span>The length proportion is 24 in to 32 ft. </span>
<span>The actual house is 24 ft tall. </span>
<span>Let x represent the doll house height, in inches. Then </span>
<span>x/24 = 24/32 </span>
<span>x = 24 * 24/32 = 18 inches</span>
Answer:
y = -1/3x - 5
Step-by-step explanation:
Use rise over run to find the slope: (y2 - y1) / (x2 - x1)
Plug in the points:
(y2 - y1) / (x2 - x1)
(-7 + 3) / (6 + 6)
-4 / 12
= -1/3
Plug in the slope and a point into y = mx + b, and solve for b:
y = mx + b
-3 = -1/3(-6) + b
-3 = 2 + b
-5 = b
Plug in the slope and b into y = mx + b
y = -1/3x - 5 is the equation of the line