Answer:
3/4 of a foot will cost $2.25.
Step-by-step explanation:
This question is solved by rule of three, due to proportions.
One foot of lace costs 3 dollars. How much is 3/4 of a foot going to cost?
1 foot - 3 dollars
3/4 foot - x dollars

So
3/4 of a foot will cost $2.25.
The two triangles are isosceles.
Both triangles have the equals sides equal to 6
Both ∠ 1 and the ∠2 are the opposite angles to the different side of their respective triangles.
The opposite side to ∠ 1 is shorter than the opposite side to ∠ 2, which implies that ∠1 is less than ∠2.
Then the inequality that relates those angles is
∠1 < ∠2
(x^2+4)^2 + 32 = 12x^2 + 48 .... a = x^2 + 4
<span>(x^2 + 4)^2 + 32 = 12(x^2 + 4) </span>
<span>a^2 + 32 = 12a </span>
<span>a^2 - 12a + 32 = 0 </span>
<span>(a - 8)(a - 4) = 0 </span>
<span>a = 8 and a = 4 </span>
<span>for a = 8 ... 8 = x^2 + 4 ... x^2 = 4 ... x = +/- 2 </span>
<span>for a = 4 ... 4 = x^2 + 4 ... x^2 = 0 ... x = 0 </span>
<span>x = -2, 0, +2 so your answer is going to be e
</span>
Answer:
$13.64
Step-by-step explanation:
The backpack is originally priced at $22. During the sale, the price would be 38% off which means you pay 62% of the original price. We can find this by multiplying by the percent 62 (converted into a decimal).
22(0.62)=13.64
The sale price at the sale is $13.64.
Answer:
The equation of the line in slope-intercept form is:
Step-by-step explanation:
Given the points
Finding the slope




We know the slope-intercept form of the line equation is

where m is the slope and b is the y-intercept
substituting m = -10/7 and (-8, 5) in the slope-intercept form to determine the y-intercept



now substituting m = -10/7 and b = -45/7 in the slope-intercept form



Thus, the equation of the line in slope-intercept form is: