What is the point-slope form of a line with slope -4 that contains the point
(-2, 3)?
A. y + 3 = 4(x + 2)
B. y - 3 = -4(x + 2)
c. y + 3 = -4(x - 2)
D. y - 3 = 4(x + 2)

Answer:

Step-by-step explanation:

(ii) right angle becuase perpendicular

iv) congruent because <b=<a (opp ang in isc.tria. is equal)

since ΔADC ≅ Δ BDC, AB=BD

Answer:

78,073

Step-by-step explanation:

Subtract 8,420 from 86,493...86,493-8,420=78,073 is the answer

Double check by using inverse operations...78,073+8,420=86,493

It is correct, as I ended up with 86,493, the starting number of the equation.

Answer:

30

Step-by-step explanation:

15+5²÷5×3

PEMDAS says exponents first

15+25÷5×3

Then multiply and divide from left to right

15+5×3

15+15

Then add

30

Answer:

30

Step-by-step explanation:

15+5²÷5×3

15 + 25 ÷ 5 x 3

15 + 5 x 3

15 + 15

= 30

Answer:

1 : 5

Step-by-step explanation:

So 50mL is for thye concentrate then the rest is water which means the water is 300mL - 50mL = 250mL of water.

Ratio of concrentrate to water = 50mL: 250mL

To write a ratio you first write down the one stated first then the other one.

50mL : 250mL CAN BE SIMPLIFIED. This is done by dividing both parts by the highest common factor which is 50.

It then becomes 1 : 5.

HOPE THIS HELPED

Answer:

C. (-3x+15)/2

Step-by-step explanation:

y = (15-2x)/3

To find the inverse, exchange x and y

x = (15-2y)/3

Solve for y

Multiply each side by 3

3x = (15-2y)/3 *3

3x= 15-2y

Subtract 15 from each side

3x-15 = 15-2y-15

3x-15 = -2y

Divide by -2

(3x-15)/-2 = -2y/-2

(-3x+15)/2 = y

(A) f(x) = 7 is constant, so f(x + h) = 7, too, which makes f(x + h) - f(x) = 0. So f'(x) = 0.

(B) f(x) = 5x + 1   ==>   f(x + h) = 5 (x + h) + 1 = 5x + 5h + 1

==>   f(x + h) - f(x) = 5h

Then

[tex]\displaystyle f'(x) = \lim_{h\to0}\frac{5h}h = \lim_{h\to0}5 = 5[/tex]

(C) f(x) = x ² + 3   ==>   f(x + h) = (x + h)² + 3 = x ² + 2xh + h ² + 3

==>   f(x + h) - f(x) = 2xh + h ²

[tex]\implies\displaystyle f'(x) = \lim_{h\to0}\frac{2xh+h^2}h = \lim_{h\to0}(2x+h) = 2x[/tex]

(D) f(x) = x ² + 4x - 1   ==>   f(x + h) = (x + h)² + 4 (x + h) - 1 = x ² + 2xh + h ² + 4x + 4h - 1

==>   f(x + h) - f(x) = 2xh + h ² + 4h

[tex]\implies \displaystyle f'(x) = \lim_{h\to0}\frac{2xh+h^2+4h}h = \lim_{h\to0}(2x+h+4) = 2x+4[/tex]

Answer:

5(3x+4y)

Step-by-step explanation:

Answer:

16384

Step-by-step explanation:

4×4×4×4×4×4×4

= 4⁷

= 16384 ways

7 answers can be answered by guessing in 4⁷ ways.

A permutation is an arrangement of things where order matters, AB and BA are two different permutations.

The combination is a selection of things where order does not matter, AB and BA are the same combinations.

Given, A multiple-choice test has 7 questions, with 4 possible answers for each question.

Now the first question can be guessed in 4 different ways.

Similarly, 7 answers can be answered by guessing in 4⁷ ways.

= 16,384.

learn more about permutation and combination here :

https://brainly.com/question/28720645

#SPJ2

Answer:

3/4

Step-by-step explanation:

To find the common ratio, take the second term and divide by the first term

3/4

Check with the third and second terms

9/4 ÷3

9/4 *1/3= 3/4

The common ratio is 3/4

Answer:

535525-62635-$6#62626636$66$6$63663636$6$62

brainly is dustbin

Hi

Income tax is  progressive

So with  50 000  we have  :  

0.02*3000 + 0.03 ( 5000 -3001) + 0.05 ( 17 000-5001) + 0.0575 ( 50 000 - 17 001) =  60+ 59.97+599.95 + 1897.44 =  2617.36

tax is = 2617.36

Answer:

I think the Correct answer is no A.

18/24, 20/24

Step-by-step explanation:

3/4=?/24

5/6=?/24

3X6=18

4X6=24

5X4=20

6X4=24

Answer:

7/8 = 21/24

5/6 = 20/24

3/4 = 18/24

Step-by-step explanation:

What you do to the denominator, you do the same to the numerator.

[tex]\frac{7}{8} * \frac{3}{3} = \frac{21}{24}[/tex]

[tex]\frac{5}{6} * \frac{4}{4} = \frac{20}{24}[/tex]

[tex]\frac{3}{4} * \frac{6}{6} = \frac{18}{24}[/tex]

Answer:

57

Step-by-step explanation:

When mona was 10, her brother was half her age, so he was 5 years old.

That means that Mona is 5 years older than her brother

If mona is 57, that means that her brother is 52 years

5 years later is 52+7 so her brother will be 57

Answer:

20 yards

Step-by-step explanation:

First, we have to know how to get from inches to yards. 12 inches = 1 foot, and 3 feet = 1 yard.

Next, we have

[tex]\frac{720 in}{1}[/tex]

as a given. We want to multiply this by our conversions to get the end amount in yards.

We can first multiply our expression by 12 inches = 1 foot. To do this, we can set one number as the divisor and one as the dividend, e.g. 12 inches /  1 foot. However, to figure out which number should be the numerator/denominator, we first must examine our original expression. We want to multiply it by a value that cancels something out in conversion. To do this, we can have the same unit of something in the numerator in one and the denominator in the other in terms of what we're multiplying. Here, we can see that [tex]\frac{720 in}{1}[/tex] has inches on the top, so we want inches on the bottom in 12 inches = 1 foot. Therefore, we have

[tex]\frac{720 in}{1} * \frac{1 foot}{12 inches}[/tex]

= [tex]\frac{720feet}{12}[/tex]

= 60 feet

= [tex]\frac{60 feet }{1}[/tex]

We have feet as the numerator, so we want feet in the denominator in what we're multiplying this by. In 3 feet = 1 yard, we can multiply this to get

[tex]\frac{60 feet }{1} * \frac{1 yard}{3 feet} \\= \frac{60 yards}{3}[/tex]

= 20 yards

Answer:

3 +4 i

Step-by-step explanation:

x + sqrt(yz)

Let x = 3 y=2  and z = -8

3 + sqrt(2*-8)

3+ sqrt(-16)

3 + sqrt(16) sqrt(-1)

We know sqrt(-1) = i

3 +4 i

9514 1404 393

Answer:

  5/9

Step-by-step explanation:

  [tex]\dfrac{4\text{ L}}{7.2\text{ L}}=\dfrac{40}{72}=\dfrac{5\cdot8}{9\cdot8}=\boxed{\dfrac{5}{9}}[/tex]

Answer:

C

Step-by-step explanation:

Plug each ordered pair into the equation

A: 4 = 3(-1)-1

4=-3-1

This is false

B: 2= 3(-1)-1

2=-3-1

This is false

C: -4 = 3(-1)-1

-4=-3-1

This is true

Answer:

(0,-2), (-2,-10), (4,14), (-3,-14)

Step-by-step explanation:

y(0)=-2, y(-2)=-10, y(x) = 14 so x=16/4=4, y(x) = - 14, x=-12/4=-3.

Split up C into two component paths C₁ and C₂, where each line segment is respectively parameterized by

r₁(t) = (1 - t ) (3i + k) + t (4i + 3j + k) = (t + 3) i + 3t j + k

r₂(t) = (1 - t ) (4i + 3j + k) + t (4i + 5j + 4k) = 4i + (2t + 3) j + (3t + 1) k

both with 0 ≤ t ≤ 1.

It's a bit unclear what function you're supposed to integrate (looks like xyz ?) so I'll give a more general result. The line integral of a scalar function f(x, y, z) along the given path C is

[tex]\displaystyle \int_C f(x,y,z)\,\mathrm ds = \int_{C_1}f(\mathbf r_1(t))\left\|\frac{\mathrm d\mathbf r_1}{\mathrm dt}\right\|\,\mathrm dt + \int_{C_1}f(\mathbf r_2(t))\left\|\frac{\mathrm d\mathbf r_2}{\mathrm dt}\right\|\,\mathrm dt[/tex]

We have

dr₁/dt = i + 3j   ==>   || dr₁/dt || = √(1² + 3²) = √10

dr₂/dt = 2j + 3k   ==>   || dr₂/dt || = √(2² + 3²) = √13

Then the integrals reduce to

[tex]\displaystyle \int_0^1 \left(\sqrt{10}\,f(t+3,3t,1) + \sqrt{13}\,f(4,2t+3,3t+1)\right)\,\mathrm dt[/tex]

If indeed f(x, y, z) = xyz, then we have

[tex]\displaystyle \int_0^1 \left(3\sqrt{10}\,t(t+3) + 4\sqrt{13}\,(2t+3)(3t+1)\right)\,\mathrm dt = 11\sqrt{\frac52}+42\sqrt{13}[/tex]

Answer:

$3.20

Step-by-step explanation:

Divide the number 16 (as in the cost per Jacket) by 5. (The amount of shirts you could buy with $16)

Then once you have divided 16 by 5, your answer should be 3.2, so the cost of one shirt is $3.20

Answer:a0 = 40 mg

a1 = 20 mg  after 28 years

a2 = 10 mg  after another 28 years

Step-by-step explanation:Set this up as

10 = 40 (1/2)t/28

and solve for t in years.

10/40 = (1/2)t/28

log(0.25) = (t/28) log(0.5)

t = 28 log(0.25) / log(0.5) years = 56 years

Answer:

40 mg

Step-by-step explanation:

10 = 40 (1/2)t/28   and solve for t in years.   10/40 = (1/2)t/28   log(0.25) = (t/28) log(0.5)   t = 28 log(0.25) / log(0.5) years = 56 years

Answer:

Step-by-step explanation:

(-1) × 1 = -1

Answer:

-1

Step-by-step explanation:

anything times 1 =1. except 0.

Answer:

You’ve worked 7 hours and 30 minutes

Step-by-step explanation:

Answer:

3 2/3 servings

Step-by-step explanation:

Take the total amount of strawberries and divide by the number of strawberries in a serving.

11/12÷ 1/4

Copy dot flip

11/12 * 4/1

Rewriting

11/1 * 4/12

11/1 *1/3

11/3

Changing to a mixed number

3 2/3 servings

☆No of servings =Total strawberries weight/Per servings weight

[tex]\\ \sf\longmapsto \dfrac{11}{12}\div \dfrac{1}{4}[/tex]

[tex]\\ \sf\longmapsto \dfrac{11}{12}\times \dfrac{4}{1}[/tex]

[tex]\\ \sf\longmapsto \dfrac{11(4)}{12}[/tex]

[tex]\\ \sf\longmapsto \dfrac{44}{12}[/tex]

[tex]\\ \sf\longmapsto \dfrac{11}{3}[/tex]

Let side be a

We know

[tex]\\ \sf\longmapsto Area=(side)^2[/tex]

[tex]\\ \sf\longmapsto a^2=111[/tex]

[tex]\\ \sf\longmapsto a=\sqrt{111}[/tex]

[tex]\\ \sf\longmapsto a=10.3units[/tex]

Answer:

I guess the the correct answer is D