find the equation of the line containing the point (-3,5) and having slope: 4
a) y=4x-7
b) y=4x
c) y=-4-24
d) y=4x+17
e) none of the above

Answer:

5 - 16i

Step-by-step explanation:

combine like terms:

3 - (-2) = 5

(-5i) - 11i = -16i

5 - 16i

Answer:

(2 (4 x + 5), -(3 x + 25))

Step-by-step explanation:

Simplify the following:

(12 x - 4 x + 3 + 7, 5 x + 2 x - 3 x - 7 x - 18 - 13 - 2 + 8)

Grouping like terms, 12 x - 4 x + 3 + 7 = (12 x - 4 x) + (3 + 7):

((12 x - 4 x) + (3 + 7), 5 x + 2 x - 3 x - 7 x - 18 - 13 - 2 + 8)

12 x - 4 x = 8 x:

(8 x + (3 + 7), 5 x + 2 x - 3 x - 7 x - 18 - 13 - 2 + 8)

3 + 7 = 10:

(8 x + 10, 5 x + 2 x - 3 x - 7 x - 18 - 13 - 2 + 8)

Factor 2 out of 8 x + 10:

(2 (4 x + 5), 5 x + 2 x - 3 x - 7 x - 18 - 13 - 2 + 8)

Grouping like terms, 5 x + 2 x - 3 x - 7 x - 18 - 13 - 2 + 8 = (-7 x + 2 x - 3 x + 5 x) + (8 - 13 - 18 - 2):

(2 (4 x + 5), (-7 x + 2 x - 3 x + 5 x) + (8 - 13 - 18 - 2))

-7 x + 2 x - 3 x + 5 x = -3 x:

(2 (4 x + 5), -3 x + (8 - 13 - 18 - 2))

8 - 13 - 18 - 2 = -25:

(2 (4 x + 5), -25 - 3 x)

Factor -1 out of -3 x - 25:

Answer: (2 (4 x + 5), -(3 x + 25))

Answer:

p = -7/3

Step-by-step explanation:

-2 = 6/7p

multiply each side by (7/6)

-2(7/6) = 6/7p(7/6)

-7/3 = p

Answer:

[tex]-\frac{7}{3}[/tex]

Step-by-step explanation:

Answer:

$4.161616 =

As a fraction

= $[(4 × 62500) + 10101]/62500

= $(260101/62500)

As a mixed number =

$[tex]4\frac{10101}{62500}[/tex]

Step-by-step explanation:

Cost of making a computer component = $4.161616

= $4 + $0.161616

6 numbers after the decimal , hence

0.161616 × 1000000/1000000

= 161616/1000000

= 10101/62500

We are told in the question to write the repetiting decimal cost as a fraction and as a mixed number

$4 + $0.161616 = $4 + 10101/62500

As a fraction

= $[(4 × 62500) + 10101]/62500

=$260101/62500

As a mixed number = [tex]$4\frac{10101}{62500}[/tex]

Answer:

Josephine

Step-by-step explanation:

2 criteria was given to pass an exam:

1. At least, a mean mark of 40% must be achieved in the exam consisting of 4 papers

2. Score at least, 33% in each paper.

From the table given, and considering these two criteria, James definitely didn't pass the examination. He scored below 33% in one of the 4 papers. James scored 30% in Maths

Calculated the mean score for John and Josephine to determine if they meet the first criteria of having at least a mean score of 40%.

Mean score of John = (35 + 36 + 42 + 44) ÷ 4 = 39.25%

Mean score for Josephine = (60 + 55 + 38 + 75) ÷ 4 = 57%

Josephine passed the examination because she had a mean score of 57%, and also scored 33% and above in each test.

Answer:

63

Step-by-step explanation:

-1,5,15,29,41,63

between the 2nd term and first term, we add 6

between the 3rd and 2nd, we add 10

between 4th and 3rd, we add 14

between 5th and 4th, we add 12

to get the next term, we add 22 to the fifth tern which is 63

this is how to get the 4th term 6 interval was added to 8 making 14 and to get the fifth, then add 2 to the difference of 10 making 12. 29+12=41..so to get the last term 14 was added to 8 making 22 and therefore 41+22=63

Answer:

is number one ka matalab hindi me janiye to the meeting ko join date puchhrahai hai ki tum mere ko bohot achhi lagi aur attitude to nahin hai ki tum mere ko bohot achhi lagi aur attitude to nahin hai ki tum mere ko bohot achhi lagi aur attitude to nahin hai ki tum mere ko bohot achhi lagi aur attitude to nahin hai ki tum mere ko bohot achhi lagi aur attitude to nahin hai ki tum mere ko bohot achhi lagi aur attitude to

Answer: 6

Step-by-step explanation:

Given: Gomez has 30 cans of regular soda and 18 cans of diet soda.

He wants to create some identical refreshment tables that will operate during the football game and doesn't want any sodas left over.

Then, the greatest number of refreshment tables that Gomez can stock = GCD (30,18).

Since, 30=  2 x 5 x x 3

18= 2 x 3 x 3

GCD (30,18) = 2 x 3 = 6

Hence, the greatest number of refreshment tables that Gomez can stock is 6.

Answer:

Step-by-step explanation:

[tex](4,3)=(x_1,y_1)\\(-4,-4)=(x_2,y_2)\\\\\frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1}\\ \\\frac{y-3}{x-4}= \frac{-4-3}{-4-4}\\\\\frac{y-3}{x-4}=\frac{-7}{-8} \\-8(y-3) =-7(x-4)\\-8y +24=-7x +28\\-8y =-7x +28-24\\-8y = -7x +4\\Divde\:both\:sides\:of\:the\:equation\:by\: -8\\\\\frac{-8y}{-8} = \frac{-7x}{-8} +\frac{4}{-8}\\\\y = \frac{7}{8}x -\frac{1}{2}[/tex]

Answer:

Adult ticket= 7£

Child ticket= 2£

Step-by-step explanation:

Let the cost of an adult ticket be £A and the cost of a child ticket be £C.

2A +3C= 20 -----(1)

A +4C= 15 -----(2)

From (2):

A= 15 -4C -----(3)

Susbt. (3) into (1):

2(15 -4C) +3C= 20

30 -8C +3C= 20 (expand)

30 -5C= 20 (simplify)

5C= 30 -20

5C= 10

C= 10 ÷5

C= 2

Subst. C=2 into (3):

A= 15 -4(2)

A= 15 -8

A= 7

Thus, the cost of an adult ticket and a child ticket is 7£ and 2£ respectively.

Answer: Prime factorization: 10 = 2 x 5.

Step-by-step explanation:10 is a composite number. 10 = 1 x 10 or 2 x 5. Factors of 10: 1, 2, 5, 10.

The prime factorization of 10 is 2 and 5

Answer:

$100

Step-by-step explanation:

Half - a - hour = (24*15) =360 m

one hour payment $25

hour(?) =(48*30) = 1440 m

  1440/ 360 =  4 hours

So, 25*4 =$100

========================================================

Method 1

Use your calculator to find the decimal version of each fraction

We see that 0.20 is the smallest decimal of the list, so 1/5 is the smallest fraction of the list.

----------------------------

Method 2

To compare fractions, we need to get all of the denominators to the same value. A good target is the lowest common denominator (LCD)

In this case, the LCD is 100

The last fraction has the smallest denominator, so 1/5 is the smallest.

Answer: Answer is in steps

Step-by-step explanation:

A)  To find p(46) input the 46 into the equation and solve

   p(46) = 61.41 + 2.32(46)  

   p(46) = 168.13

B) This means that if the female's femur is 46 in length then that female will be 168.13 centimeters tall.

Answer:

Step-by-step explanation:

To find the length of the hypotenuse of QPO we must first find the value of x

Since the triangle is a right angled triangle we can use Pythagoras theorem to find the missing side x

Using Pythagoras theorem we have

QO² = QP² + OP²

That's

( x + 6)² = 5² + ( x + 5)²

x² + 12x + 36 = 25 + x² + 10x + 25

Group like terms

x² - x² + 12x - 10x = 50 - 36

2x = 14

Divide both sides by 2

x = 7

The hypotenuse of QPO is (x + 6)

Substitute the value of x into the expression

That's

Hope this helps you

Answer:

[tex]\Huge \boxed{\mathrm{D.} \ 13}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

The triangle is a right triangle.

We can use Pythagorean theorem to solve for the value of x.

[tex]OP^2 +PQ^2 =OQ^2[/tex]

[tex](x+5)^2 +5^2 =(x+6)^2[/tex]

Simplifying both sides.

[tex]x^2 +10x+50=x^2 +12x+36[/tex]

Subtracting x², 10x and 36 from both sides.

[tex]14=2x[/tex]

Dividing both sides by 2.

[tex]7=x[/tex]

Letting x = 7 for the length of the hypotenuse.

[tex]\Longrightarrow \ 7+6 \\\\\\ \Longrightarrow \ 13[/tex]

[tex]\rule[225]{225}{2}[/tex]

Answer: 4

Step-by-step explanation:

Factor of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Factor of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100

4 appears in both factors, so the GCF (Greatest Common Factor) will be 4

Hope this helps!! :)

Please let me know if you have any question

Answer: ∠ABE=20°

Step-by-step explanation:

∵ AB=BC

∴ ΔABC is a isosceles triangle

∵ ∠A=30

∴ ∠C=30

∵ The interior angle sum of triangle is 180°

∵ ∠A+∠B+∠C=180

    30+∠B+30=180

           ∠B+60=180

                  ∠B=120 (∠ABC)

∵ ∠EBD+∠ABE+∠ABC=linear pair

∴∠EBD+∠ABE+∠ABC=180°

                  4x+2x+120=180

                        6x+120=180

                                6x=60

                                  x=10

∠ABE=2x=2(10)=20°

Hope this helps!! :)

Please let me know if you have any question

Answer:

A) 2

B) 13/16

A) If 1 3/8 = 1 scarf

7 1/2 = 7 1/2 ÷ 1 3/8

= 2.8125

so 7 1/2 can make 2 scarfs

B) remaining fabric is 0.8125

= 13/16

-2.5 hope this helps you

Answer:

1.3

Friend is wrong

Step-by-step explanation:

Given:

friend's claim: height of his building is more than 1.50 times the height of yours

line of sight to the top edge of the other building makes an angle of 21° above the horizontal

line of sight to the base of the other building makes an angle of 52° below the horizontal

Solution:

Let A be the height of your building is A

Let B+A his building is B higher than yours.

Let the distance between the buildings is x.  

then

tan 52 = A/x

tan 21 = B/x  

A/B = tan 52 / tan 21

      =  1.27994 / 0.38386

A/B = 3.33

(A + B) / A = 1.5 0

A/A + B/A = 1.50

1 + B/A = 1.50

B/A is basically (B/x) / (A/x)

So

1+ 3.33 / 3.33

= 4.33/3.33

= 1.3

Since 1.3 is not equal to 1.5

Hence the friend's claim is wrong.

The height of the taller building can be given in relation to the height of

the other building using trigonometric ratios.

Correct response:

The given parameters are;

Angle of elevation to the top of the other building = 21°

Angle of depression to the base of the other building = 52°

The claim of the friend = The height of his building > 1.5 × The height of the other building

Required:

To state whether the claim is right or wrong.

Solution:

Let h represent the height of the smaller building, let l represent the

distance between the two buildings, and let d represent the height by

which one building is taller than the other, we have;

l·tan(21°) = d

l·tan(52°) = h

Height of the taller building, H = h + d = l·tan(52°) + l·tan(21°)

Height of the other building = h = l·tan(52°)

Therefore;

H ≈ 1.3·h

Which gives that the taller building, H, is approximately 1.3 times the other building.

Therefore;

Learn more about trigonometric ratios here:

https://brainly.com/question/14692278

Answer:

you do subtraction than the plus and you got your answer!

Hope this helps :)

Answer:

7h - 15h + 40 = -72

-8h + 40 = -72

take +40 on the other side of equation

-8h = -72-40

-8h = -112

h = -112/-8

h = 14

Step-by-step explanation:

Answer:

0 < x < 9

Step-by-step explanation:

Mary's age = x

Twice of Mary's age = 2x

Emily's age = (2x + 3) (we are told Emily is 3 years older than twice of Mary's age)

Given that the sum of their ages is > 30, we have the following expression:

[tex] (2x + 3) + x [/tex] > 30

Let's simply:

[tex] 2x + 3 + x [/tex] > 30

[tex] 3x + 3 [/tex] > 30

Subtract 3 from both sides

[tex] 3x + 3 - 3 [/tex] > [tex] 30 - 3 [/tex]

[tex] 3x [/tex] > [tex] 27 [/tex]

Divide both sides by 3

[tex] \frac{3x}{3} [/tex] > [tex] \frac{27}{3} [/tex]

[tex] x [/tex] > [tex] 9 [/tex]

Therefore, the inequality that represents Mary's possible age is: 0 < x < 9

Answer:

a: [tex]40h+75f=800,h+f=13[/tex]

b: 5

c: 8

Step-by-step explanation:

Explanation for a: Making the equations

Assuming h is the amount of half-page ads and f is the amount of full page ads, we can create the equations [tex]40h+75f=800,h+f=13[/tex] since the total cost will be 800$, and we have a total of 13 ads.

Explanation for b: Solving for h

We can now solve for one of the variables using elimination. Let’s multiply the expression [tex]h+f=13[/tex] by -75.

[tex]-75h - 75f = -975[/tex]

Great! Now let’s add the equations.

[tex]40h + 75f = 800\\\\-75h - 75f = -975[/tex]

Adding these equations, we get

[tex]-35h = -175[/tex]

Divide both sides by -35, and we get [tex]h = 5[/tex].

Explanation for c: Solving for f

We can now substitute h inside the equation [tex]h + f = 13[/tex].

[tex]5 + f = 13\\\\f = 13-5\\\\f = 8[/tex]

Hope this helped!

(a) Let's say that h = half-page advertisement, and f = full-page advertisement.

Now It is given that there is a total of 13 advertisements present, and hence we have the first equation h + f = 13. Respectively we have the equation 40h + 75f = 800. This is represented by the following system of equations,

[tex]\begin{bmatrix}h+f=13\\ 40h+75f=800\end{bmatrix}[/tex]

(c) From here on let's solve this system for h and f. Isolating h in the first equation would give us h = 13 - f, which then can be substituted into the second equation to receive 40(13 - f) + 75f = 800. Let's solve for f --- (1)

40(13 - f) + 75f = 800,

520 - 40f + 75f = 800,

520 + 35f = 800,

35f = 280,

f = 280 / 35 = 8 full advertisements

(b) Now let's substitute this value of f back into the first equation to solve for the value of h --- (2)

h + 8 = 13,

h = 13 - 8 = 5 half advertisements

Answer:

2/5

Step-by-step explanation: Total outcomes=5

favourable outcomes=2

Therefore ,P(E)=2/5

Answer:

ABH and HBC ---- Complementary angles ( Sum of complementary anfges = 90 degrees )

ABE and FBG------Vertical angles (they are vertically opposite to each other and sum of the vertical angles =180

ABE and EBG-------Supplementary angles ( Sum of supplementary angles =180 degrees)

HBF and FBG----------Adjacent Angles(These two angles are next to each other/adjacent to each other )

Answer:

The answer to number 1 is b and number 2 is also b

Answer:

A.

Step-by-step explanation:

Every integer is a rational number but a rational number does NOT need to be a integer, therefore meaning that integers are a subset of rational numbers. Not the other way around.

Answer:

x = 0.2

Step-by-step explanation:

-7.8x = -1.56

-1.56/-7.8 = 0.2

x = 0.2

Answer:

[tex]x =\frac{1}{5}[/tex] or [tex]0.2[/tex] (they're the same)

Step-by-step explanation:

Answer:

p = [tex]\frac{q-5r}{2}[/tex]

Step-by-step explanation:

Given

2p + 5r = q ( subtract 5r from both sides )

2p = q - 5r ( divide both sides by 2 )

p = [tex]\frac{q-5r}{2}[/tex]