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Katen [24]
3 years ago
5

Write an equation in slope-intercept form for the line that passes through (4,-4) and parallel to 3 +4x=2y-9

Mathematics
1 answer:
ikadub [295]3 years ago
8 0

Answer:

y=-2x-12

Step-by-step explanation:

Make the equation into slope intercept form

-2y=-4x-12

divide by -2

y=2x+6

since the line is parallel the slope is the same

y=2x+b

plug in (4,-4)

-4=8+b

b=-12

y=-2x-12

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Find the average of 62 ℓ, 28 ℓ, 45 ℓ and 33 ℓ.
artcher [175]

Answer:

the average is 168

Step-by-step explanation:

5 0
3 years ago
Hawick is 1515 miles south of Abbotsford, and Kelso is 1717 miles east of Abbotsford. What is the distance from Hawick to Kelso?
Mashcka [7]

Answer:

As per the statement:

Hawick is 15 miles south of Abbotsford, and Kelso is 17 miles east of Abbotsford.

Let  H represents  Hawick , A represents Abbotsford and K represents Kelso

See the diagram as shown below:

Distance of AH = 15 miles

Distance of AK = 17 miles.

We have to find the distance HK:

Using Pythagoras theorem;

\text{Hypotenuse side}^2 = \text{Adjacent side}^2 + \text{opposite side}^2

then;

\text{HK}^2 = 15^2+17^2 = 225 + 289 = 514

or

HK = \sqrt{514} =22.671581 miles.

Therefore, the distance from Hawick to Kelso( to the nearest tenth place) is 22.6 miles

5 0
3 years ago
Read 2 more answers
for any positive integer n, the sum of the first n positive integers equals n(n 1)/2. what is the sum of all the even integers b
marusya05 [52]

The sum of all the even integers between 99 and 301 is 20200

To find the sum of even integers between 99 and 301, we will use the arithmetic progressions(AP). The even numbers can be considered as an AP with common difference 2.

In this case, the first even integer will be 100 and the last even integer will be 300.

nth term of the AP = first term + (n-1) x common difference

               ⇒    300 = 100 + (n-1) x 2

Therefore, n = (200 + 2 )/2 = 101

That is, there are 101 even integers between 99 and 301.

Sum of the 'n' terms in an AP = n/2 ( first term + last term)

                                                = 101/2 (300+100)

                                                = 20200

Thus sum of all the even integers between 99 and 301 = 20200

Learn more about arithmetic progressions at brainly.com/question/24592110

#SPJ4        

7 0
1 year ago
Sixty people are invited to a party. There are 24 cups in a package and 18 napkins in a package. What is the least number of the
miv72 [106K]
3 packages of cups and 4 packages of napkins assuming that all 60 shows up 3×24=72 4×18=72 plenty with Xtra
4 0
3 years ago
Which solid figure has one polygon base?
maks197457 [2]
Q1: The answer is A. pyramid.
A pyramid has one polygon base. A prism has two polygon bases. A cone has one circular base. A cylinder has two circular bases.

Q6: The answer is false.
Surface area of a rectangular prism is:
A = 2(wl + hl + hw)
A1 = 2(4*5 + 6*5 + 6*4) = 2(20+30+24) = 2*74 = 148
A2 = 2(6*4 + 5*4 + 5*6) = 2(24+20+30) = 2*74 = 148

Q7. The answer is A. 6 feet
The volume of rectangular prism is:
V = w * l * h
w = ?
So, just replace the knowing facts:
288 = w * 8 * 6
288 = w * 48
w = 288/48 = 6

Q8: The answer is 216 ft³
The volume of the cube is:
V = a³
Since a = 6, then:
V = 6³ = 216
8 0
3 years ago
Read 2 more answers
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