What is the equation in point-slope form that represents the line going through (1,3) and (4,6)

1. If a, b, c, d, and e are whole numbers and a(b(c

mars1129 [50]

Answer:

a CANNOT be even ⇒ answer A

Step-by-step explanation:

* Lets revise the rules of even and odd numbers

- Even numbers any number its unit digit is (0 , 2 , 4 , 6 , 8)

- Odd numbers any number its unit digit is (1 , 3 , 5 , 7 , 9)

# even + even = even ⇒ 2 + 4 = 6

# odd + odd = even ⇒ 1 + 3 = 4

# odd + even = odd ⇒ 1 + 2 = 3

# even × even = even ⇒ 2 × 4 = 8

# odd × odd = odd

⇒ 3 × 5 = 15

# odd × even = even ⇒ 5 × 6 = 30

∵ a[b(c + d) + e] = odd

∵ odd × odd = odd

∴ a must be odd and [b(c + d) + e] must be odd

∵ odd + even = odd

∵ odd × even = even

# Case 1

∴ b(c + d) must be odd if e even

∵ b(c + d) is odd

∴ b must be odd and (c + d) must be odd

∵ c + d must be odd

∵ odd + even = odd

∴ c or d can be even

- We now now that e , c and d can be even

# case 2

∴ b(c + d) must be even if e odd

∵ b(c + d) is even

∵ even × even = even

∴ b and (c + d) both can be even

∵ c + d can be even

∴ c or d can be even or odd

- We now now that e , c , d and b can be even

∴ Only a can not be even

* a CANNOT be even

5 0

3 years ago

(Please someone help me!) (No links!)

mr_godi [17]

Answer: 1 4/5 / 2/7 = 63/

10

= 6 3/10

= 6.3

Step-by-step explanation:

Conversion a mixed number 1 4/

5

to a improper fraction: 1 4/5 = 1 4/

5

= 1 · 5 + 4/

5

= 5 + 4/

5

= 9/

5

To find a new numerator:

a) Multiply the whole number 1 by the denominator 5. Whole number 1 equally 1 * 5/

5

= 5/

5

b) Add the answer from previous step 5 to the numerator 4. New numerator is 5 + 4 = 9

c) Write a previous answer (new numerator 9) over the denominator 5.

One and four fifths is nine fifths

Divide: 9/

5

: 2/

7

= 9/

5

· 7/

2

= 9 · 7/

5 · 2

= 63/

10

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 2/

7

is 7/

2

) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, the fraction result cannot be further simplified by canceling.

In other words - nine fifths divided by two sevenths = sixty-three tenths.

4 0

3 years ago

Read 2 more answers

A helicopter is flying at an elevation of 575 feet directly above a horizontal highway. Two motorists are driving cars on the hi

Ket [755]

Answer:

Distance between cars rounded to the nearest foot is : 1903 ft

Step-by-step explanation:

Notice that two right triangles can be used to represent the diagram of this situation. One between the car whose angle of depression is $28^o$ , and the other with the car with angle of depression $35^o$ (see attached image)

Each triangle in the attached image is depicted with a different color. and as one can see, the distance between both cars is the addition of the side "x" in one triangle, to the side "y" in the other.

Notice as well that the information known for both right-angle triangles is one acute angle, and the side opposite to it. And what one needs to find is the side adjacent to this acute angle. Then, the function to use in both triangles, is the tangent:

a) For the $28^o$ [orange] triangle :

$tan(28^o)=\frac{575}{y} \\y=\frac{575}{tan(28^o)} \\y=1081.42\,\,ft$

b) For the $35^o$ [green] triangle:

$tan(35^o)=\frac{575}{x} \\y=\frac{575}{tan(35^o)} \\y=821.19\,\,ft$

Therefore the total distance between cars is:

1081.42 ft + 821.19 ft = 1902.61 ft

which to the nearest foot can be rounded as: 1903 ft

4 0

3 years ago

234% as a simplifed fraction

blagie [28]

Answer:

So, /(100÷2) = 117/50 when reduced to the simplest form. As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 234/100 is also equal to 2 17/50 when expressed as a mixed number.

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

3 divide by what number equals 5

marysya [2.9K]

First write the equation
3/n = 5

Multiply both sides by n
3/n * n = 5 * n

Simplify
3 = 5 * n

Divide both sides by 5
3/5 = 5 * n/5

Simplify
3/5 = n

Divide
0.6 = n

So 3/0.6 = 5

4 0

4 years ago