Which of the following are written in point-slope
form?
a) y + 2 = -9(x + 3)
b) y - 7 = 5(x + 1)
c) x - y = -3
d) y = -x +6

Answer:

100x-40

Step-by-step explanation:

10*10x and  10* -4

Answer:

It will became like this.

Hope this will help you.

Answer:

38.5, 77, 192.5

Step-by-step explanation:

x + 2x + 5x = 308

8x = 308

x = 38.5

38.5 + 2(38.5) + 5(38.5)

38.5 + 77 + 192.5 = 208

38.5, 77, 192.5

Answer:

Step-by-step explanation:

Let the capacity of tank is x

Answer:

929,477.13

Step-by-step explanation:

Number of years, n = 20

Using the relation :

a(1- r^n)/ (1 - r) ;

where a is the first term, r is the common ratio and n is the number of years

a = 19000

r = 1 + 8.6% = 1.086

19000(1 - 1. 086^20) / (1 - 1.086)

19000(1 - 1.086^20) / (1 - 1.086)

−79935.0336930 / (1 - 1.086)

= 929,477.13

Answer:

a

Step-by-step explanation:

if 3and 4 origin it a would be your answer

Answer:

-10 and 8

Step-by-step explanation:

-10 + 8 = -2

-10 x 8 = -80

Answer:

x = -10 and y = 8

x = 8 and y = -10

Answer:

a) Only the first one is an identity.

Step-by-step explanation:

1). 8 cos O tan O csc O = 8   simplifies to:

cos O tan O csc O = 1

cos O * (sin O / cos O) * (1 /sin O)

=  cos O sin O / cos O sin O

= 1

So it is identity.

2) 13 sec^2 O/ cos^2 O - tan^2 O / cos^2O

= 13 sec^2 O - tan^2 O / cos^2 O

Now  sec^2 O = 1 + tan^2 O, so we have:

(13( 1 + tan^2 O) - tan^2 O) / cos^2 O

= (12 tan^2 O + 13) / cos^2 O

This is not always = 2 so its not an identity.

Answer:

1) [tex]49 {a}^{2} - 16 {b}^{2} [/tex]

2) [tex]251502[/tex]

Step-by-step explanation:

a) Question :-[tex](7a - 4b)(7a + 4b)[/tex]

Identity used here :-[tex](a + b)(a - b) = {a}^{2} - {b}^{2} [/tex]

So,

[tex](7a + 4b)(7a - 4b)[/tex]

[tex]=> {(7a)}^{2} - {(4b)}^{2} [/tex]

[tex]=> 49 {a}^{2} - 16 {b}^{2} [/tex]

b) Question :- [tex]501 \times 502[/tex]

Identity used here :-[tex](x + a)(x + b) = {x}^{2} + (a + b)x + ab[/tex]

So,

[tex]501 \times 502 = (500 + 1)(500 + 2)[/tex]

[tex] = > {(500)}^{2} + (1 + 2)500 + 1 \times 2[/tex]

[tex] = > 250000 + 1500 + 2[/tex]

[tex] = > 251502[/tex]

Step-by-step explanation:

3c + 3s = 12.50

4c + 2s = 10.00

3S = 12.50-3c

s = 4.17 - c

4c + 2 (4.17-c) = 10.00

2c + 8.34 = 10.00

2c = 1.66

chips = 0.83

soda = 3.34

Answer:

At these rates Sydney read 10 pages per hour more than Zander.

Step-by-step explanation:

Zander read [tex]13\frac{3}{4}[/tex] pages in [tex]\frac{1}{4}[/tex] of an hour.

Therefore, pages read by Zander in 1 hour = [tex]\frac{\text{Total pages read}}{\text{Total time taken}}[/tex]

= [tex]\frac{13\frac{3}{4}}{\frac{1}{4}}[/tex]

= [tex]\frac{55}{4}\times \frac{4}{1}[/tex]

= 55 pages per hour

Sydney read [tex]43\frac{1}{3}[/tex] pages in [tex]\frac{2}{3}[/tex] of an hours.

Pages read by Sydney in 1 hour = [tex]\frac{43\frac{1}{3}}{\frac{2}{3} }[/tex]

= [tex]\frac{130}{3}\times \frac{3}{2}[/tex]

= 65 pages per hour

Therefore, number of pages read more by Sydney as compared to Zander,

= 65 - 55

= 10 pages per hour

At these rates Sydney read 10 pages per hour more than Zander.

Answer:

540$

Step-by-step explanation:

Answer: 1430 girls

Step-by-step explanation:

In order to solve this we must take it step by step. So first things first. There are 12,481 people at this concert. If 8906 are adults we need to subtract to find out how many children there are. 12481-8906=3575. There are 3,575 children at this concert. Now if 3/5 of the children are boys then the other missing 2/5 must be the girls. There are a couple of ways to solve this but im going to go the direct route. multiply 3/5 by 3,575 to get 2,145 boys. Now if 2,145 out of 3,575 are boys then 3575-2145= 1430 girls

Let's sum up what we learned

1. 12,481 people are at a concert

2. 8906 adults are at this concert

3. 3,575 are children

4. 2145 are boys

5. Which means there are 1430 girls

Answer:  -8, -5, -2, 1, 4

Step-by-step explanation:

Y=3x-2

- Plug in the number for x.

x = -2, y = 3x - 2= 3(-2) - 2 = - 6 - 2= - 8

x = -1, y = 3x - 2= 3(-1) - 2 = - 3 - 2= - 5

x = 0, y = 3x - 2= 3(0) - 2 = 0- 2= - 2

x = 1, y = 3x - 2= 3(1) - 2 = 3 - 2= 1

x = 2, y = 3x - 2= 3(2) - 2 = 6 - 2= 4

Answer:

(5j + 4k)2

2(5j + 4k)

Step-by-step explanation:

Only choices where it distributes 10j + 8k

Answer: 2(5j+ 4K) and (5j+4k)2

Hope this helps!

Step-by-step explanation:

Answer:

-5 > -7 and 0-5>-7 are both true statements the rest aren't.

Step-by-step explanation:

Answer:

Step-by-step explanation:

2.5x + 2.5x + x = 60

x= 10

2.5x = 25

the sides of the triangle are 25, 25, 10

I don't know what you mean by "midpoints of the triangle".

Answer:

the answer is a

Step-by-step explanation:

A reasonable domain would be  

−∞<x<∞

because  

A(x)

is defined for all real numbers.

Answer:

23mm

528 mm^2

Step-by-step explanation:

The area of a rectangle is given as  the product of its length and width.

Given that 12x²+17x-5mm² is the area

factorize

12x²+17x-5 = 12x²+20x -3x-5

= 4x(3x+5)-1(3x+5)

= (3x+5)(4x-1)

For the rectangle to be a square, it means that the sides 3x+ 5 and 4x - 1 are equal. Hence

3x + 5 = 4x -1

collect like terms

3x - 4x = -5 -1

-x = -6

x = 6

substitute into the sides

3x + 5 = 3(6) + 5 = 23

4x -1 = 4(6) - 1 = 23

The area of the square which is a product of the sides

= 23 * 23

= 529

Answer:

.85 times the cost to make the shirt

Step-by-step explanation:

Let x represent cost to make the shirt.

Today, the shirt is in a 15 percent discount from its normal price.

Discount = 15/100 * x = 0.15x

Current cost = Original cost - discount

Current cost = x - 0.15x = 0.85x

The answer is;

.85 times the cost to make the shirt

Answer:

x = 20

Step-by-step explanation:

You can solve this problem using similar triangles; you know the triangles are similar due to the AAA property because of the Corresponding Angles Theorem.

To find x, you need to identify what sides 8 and x correspond to:

8 corresponds to 14 (6 + 8)

x corresponds to (x + 15)

Now, you need to find the scale factor by dividing 14 by 8:

14 ÷ 8 = 7/4

At this point, you can write and solve an equation for x:

7/4x = x + 15

3/4x = 15 (subtract x from both sides)

x = 20 (multiply both sides by 3/4)

Answer: b = m

(3 + m)(3 - m)

Step-by-step explanation:

Answer:

8x !

Step-by-step explanation:

Answer:

8x

Step-by-step explanation:

Answer:

i get    mABC = 270°

Step-by-step explanation:

This is fairly straight forward once you the right angle symbol for the arc AC.  Also realizing the 148° for mAB is not needed for this question.  The 148° for mAB would be useful if you wanted to calculate arc mBC.

Remember there are 360° in a circle.  

The arc mAC is 90°

The arc mABC is the rest of the circle.       is the arc from  A to B to C

arc ABC + arc AC is the full circle 360°

     mABC + mAC  = 360°           mAC = 90°

     mABC + 90°  = 360°              - 90° from both sides

     mABC = 360° - 90°

      mABC = 270°

The angle ∠ABC in the given circle will be 270°.

What is an angle?

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

Angle is very useful to measure any angular rotational motion for example if you have to find out the rotation among the circle then it cannot measure in length parameter such that meter inch so it will be measured as an angle in a unit of degree or radian.

In another word, the angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.

Now since we know that the angle of complete rotation is 360°.

Now ∠ADC + ∠ABC = 360

Given that ∠ADC = 90°

∠ABC = 360° - 90° = 270°

Hence, 270° will be the correct answer.

For more about the angle

brainly.com/question/13954458

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