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Anvisha [2.4K]
3 years ago
10

7) 4r^2- 12r + 5=0 in quadratic form​

Mathematics
1 answer:
aliina [53]3 years ago
8 0

Answer:

(2r-1)(2r-5)

Step-by-step explanation:

4r^2-10r-2r+5=0

2r(2r-5)-(2r-5)

(2r-1)(2r-5)

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Y is directly proportional to x. when x = 8, y = 20. determine the value of y when x = 3​
wolverine [178]

Step-by-step explanation:

y is directly proportional to x

y = kx

k represents the constant of proportionality.

when y = 20 and x = 8:

20 = 8k

Dividing both sides by 8 gives:

k = 2.5

Hence when x = 3.

y = 2.5(3)

y = 7.5 .

4 0
3 years ago
Perform the following operations and write the answers in radical form. Part A:√7+√3+√98−√18 Part B:3√5−3√11+2√121−3√90
Sveta_85 [38]

Answer:

  1. \sqrt{7}+\sqrt{3}+4\sqrt{2}
  2. 3\sqrt{5}-3\sqrt{11}+22-9\sqrt{10}

Step-by-step explanation:

Part A ;

\sqrt{7} +\sqrt{3} +\sqrt{98} -\sqrt{18} \\\\\sqrt{98}=7\sqrt{2}\\\sqrt{18}=3\sqrt{2}\\\\=\sqrt{7}+\sqrt{3}+7\sqrt{2}-3\sqrt{2}\\\\\mathrm{Add\:similar\:elements:}\:7\sqrt{2}-3\sqrt{2}=4\sqrt{2}\\\\=\sqrt{7}+\sqrt{3}+4\sqrt{2}

Part B ;

3\sqrt{5}  - 3\sqrt{11} + 2\sqrt{121} -3\sqrt{90} \\\\2\sqrt{121}=22\\3\sqrt{90}=9\sqrt{10}\\\\=3\sqrt{5}-3\sqrt{11}+22-9\sqrt{10}

8 0
4 years ago
Mary bought five pairs of socks that cost $8 each. if the tax rate was 8% how much did mary pay in total?
Zielflug [23.3K]

Answer:

The Answer would be $40.64

Step-by-step explanation:

To find a percentage of a certain number, you must multiply that number by the percentage in decimal form. Since the socks cost 8 dollars each 8 x 0.08 = 0.64 Meaning the tax cost is 64 cents. 8 x 5 = 40 Giving us $40.64

6 0
3 years ago
Jonathan ran five days a week. The most he ran in one day was 3.5 miles. Write an inequality that shows the distance jonathan co
natka813 [3]

Answer: x\leq17.5


Step-by-step explanation:

Given: The number of days Jonathan ran =  5

The most he ran in 1 day = 3.5 miles

Therefore, the maximum distance he ran in a week= 5\times3.5=17.5\ miles

Let x be the distance  Jonathan could have rum in a week, such that

x\leq17.5

Hence, the required inequality is x\leq17.5.


8 0
3 years ago
Read 2 more answers
I will mark you as brainliest if you're answer is correct​
GalinKa [24]

Answer:

perimeter = 28.13 cm

Step-by-step explanation:

Calculate the length of a line drawn from A to C.

sin 85 = b/8, b = 7.97

cos 85 = c/8, c = 0.697

AC² =7.97² + (6 + 0.697)² = 63.52 + 44.85 = 108.37

AC = 10.41

Now you have a right triangle ADC with a known hypotenuse and  one leg.

Using the Pythagorean theorem:

DC² = 10.41² - 5²

DC² = 108.37 - 25 = 83.37

DC = 9.13 cm

perimeter = 5 + 6 + 8 + 9.13 = 28.13 cm

8 0
3 years ago
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