The length of each congruent side of the isosceles triangle is given to be equal 2.75 inches while the base calculated to be equal to 23.5 inches
<h3>How to solve for the congruent sides</h3>
We first have to define x as the length of the congruent side. The question tells us that the base is 7 inches longer than 3x the length of 2 sides
This would be represented as:
= 3(2x) + 7
= 6x + 7
The perimeter of the shape is said to be 29, hence we would have
x + x + (6x + 7) = 29
= 2x + 6x + 7 = 29
= 8x = 29 - 7
8x = 22
x = 22 / 8
= 2.75
Given the value of x we would have to put it in
6x + 7
= 6 x 2.75 + 7
= 23.5
Therefore the length of each congruent side of the isosceles triangle is given to be equal 2.75 inches while the base calculated to be equal to 23.5 inches
Read more on congruent angles here:
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Find the cost of 4 quarts:
$ 6.99 [Cost of 1 quart] x 4 [Number of quarts] = $27.96 [Cost of 4 quarts]
Find the difference in price between 1 gallon and 4 quarts.
$ 27.96 [Cost of 4 quarts] - 20.99 [Cost of 1 gallon] = $ 6.97 [Difference]
One gallon of paint is less expensive than 4 quarts. The amount you save, $6.97, is just about the price of 1 quart of paint. When you buy the gallon, you get nearly 1 quart free.
Find out how many gallons to buy. Divide the total number of quarts needed by 4. This answer will tell Michael the number of gallons and quarts he needs.
10 ÷4 = 2 Gallons, 2 quarts
Two gallons and 2 quarts are equal to 10 quarts.
Find the cost.
$ 20.99 [Cost per gallon] x 2 = $41.98 [Cost of 2 gallons]
$ 6.99 [Cost per quart] x 2 = $13.98 [Cost of 2 quarts]
<span>$ 41.98 [Cost of 2 gallons] + 1 3.98 [Cost of 2 quarts] = $ 55.96 [Total cost]</span>
<span>10 individual quarts cost $69.90 vs $55.96</span>
<span>So answer is C/</span>2 gallons 2 quarts
keeping in mind that the vertex is half-way between the focus point and the directrix, and since the focus point is above the directrix, meaning the parabola is a vertical parabola opening upwards, the parabola will more or less look like the one in the picture below, with a distance from the vertex of "p" being positive since it's opening upwards.
Answer:
see attached
Step-by-step explanation:
<h3>1.</h3>
Solid dots go at all the end points except the one at (3, 6), which gets an open dot signifying the function is not defined for that point.
For the first portion of the graph, the square root function is shifted left one unit and scaled vertically by a factor of 3.
The second portion of the graph is a line with a slope of -1. It would have a y-intercept of 5 if it were defined there. It has an x-intercept of 5.
<h3>2.</h3>
The y-intercept is found by setting x=0 and solving for y.
... y = log(2·0+1) -1 = log(1) -1 = 0 -1 = -1
The x-intercept is found by setting y=0 and solving for x.
... 0 = log(2x +1) -1
... 1 = log(2x +1) . . . add 1
... 10 = 2x +1 . . . . . . take the antilog
... x = (10 -1)/2 = 4.5 . . . . . subtract 1, divide by the x coefficient
The intercepts are (0, -1) and (4.5, 0).
Answer:
153
Step-by-step explanation:
<u><em>Box 1:</em></u>
180 = 124 + (5x + 11)
56 = 5x + 11
45 = 5x
x = 9
<em><u>Box 2:</u></em>
RT = QS
x + 9 = 2x - 5
x = 14
<u><em>Box 3: </em></u>
14x - 3 = 18x -19
16 = 4x
x = 4
<em><u>Box 4:</u></em>
180 = (9x - 8) + (7x - 4)
180 = 16x - 12
192 = 16x
x = 12
<em><u>Box 5:</u></em>
(6x + 34) = (12x - 8)
42 = 6x
x = 7
<em><u>Box 6:</u></em>
45 = 7x - 25
70 = 7x
x = 10
<em><u>Box 7: </u></em>
54 - x = 3x - 10
64 = 4x
x = 16
<u><em>Box 8:</em></u>
12x + 1 = 9x + 16
3x = 15
x = 5
<u><em>Box 9:</em></u>
3x + 2x - 5 = 90
5x - 5 = 90
5x = 85
x = 17
Final Code:
(9)(17) = 153