Find the slope of the line passing through the points (-9, -6) and (-4, 5)

Answer:

y = [tex]\frac{9}{4}[/tex] (x - 2)² - 3

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (2, - 3 ) , then

y = a(x - 2)² - 3

To find a substitute (4, 6 ) into the equation

6 = a(4 - 2)² - 3 ( add 3 to both sides )

9 = a(2)² = 4a ( divide both sides by 4 )

[tex]\frac{9}{4}[/tex] = a

y = [tex]\frac{9}{4}[/tex] (x - 2)² - 3 ← in vertex form

Answer: 28 Dimes and 45 Nickles

Step-by-step explanation:

See attachment.  

Let the number of dimes and nickles be D and N.  Use the unit of pennies.

We are told:  N = D + 17  

The total of 505 cents is the sum of 10D and 5N :  10D + 5N = 505

Use N = (D+17) in the above equation.

10D + 5(D+17) = 505  

15D + 85 = 505  

15D = 420  

D = 28

Since N = D + 17, N = 45

Check:  

10D + 5N = 505 ?

10(28) + 5(45) = 505

280 +  225 = 505  It works.

Answer:

I think the answer is OP=PQ

The correct equation will be OP = PQ.

In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment.

Given that, there is a line segment, OQ, and the point P is the midpoint of the line segment,

We need to determine the relation between OP and PQ,

So, according to the definition of midpoint, the midpoint divides the segment into two equal halves,

Therefore,

OP = PQ

Hence the correct equation will be OP = PQ.

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Answer:

3 1/3

Step-by-step explanation:

Im smart

Answer:

[tex]\frac{20}{6}[/tex] = [tex]3 \frac{1}{3}[/tex] = 3.333333

Step-by-step explanation:

[tex]\frac{4}{3} /\frac{2}{5}[/tex]

You can't divide a fraction so you kcf ( keep change flip )

[tex]\frac{4}{3} *\frac{5}{2}[/tex]

[tex]\frac{20}{6}[/tex] = [tex]3 \frac{1}{3}[/tex] = 3.333333

Answer:

5 : 2

Step-by-step explanation:

ivide both terms by the GCF, 81:

405 ÷ 81 = 5

162 ÷ 81 = 2

The ratio 405 : 162 can be reduced to lowest terms by dividing both terms by the GCF = 81 :

405 : 162 = 5 : 2

Therefore:

405 : 162 = 5 : 2

pls marrk brainliest

Answer:

1. no 2: yes 3: yes 4. no 5.no 6. no

Step-by-step explanation:

Answer:

  $120

Step-by-step explanation:

6 tickets and 10 snacks will cost 6($15) +10($3) = $90 +30 = $120.

Hawa will have to pay $120 for her family.

Answer:

20.40 ft

Step-by-step explanation:

a^2 + b^2 = c^2 (right triangle) (sides of the triangle are the house and the distance from the base of the ladder to the house. The hypotenuse is the ladder.

20^2 + 4^2 = c^2

400 + 16 = c^2

C = sqrt 416

C = 20.40 ft

Step-by-step explanation:

For x = 7 or y = f(7)

Graph and solution are in the picture below

In the graph the value of y is -5, when x=7.

From the given graph the vertex point is (6, -6) and the one of the coordinate point is (3, 0).

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

From the graph, when x=7 then y=-5.

Therefore, in the graph the value of y is -5, when x=7.

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Here you go sry it took so long

All the answers to the various operations given from question 1 to 6 have been explained and answered below.

1) We want to use order of operations to solve;

105 - 7² + (72 ÷ 9)

From order of operations which is BODMAS.

First operation for our given expression is bracket. Thus;

72 ÷ 9 = 8

Thus, we now have;

105 - 7² + 8

Next is addition;

7² + 8 = 57

Thus, we now have;

105 - 57 = 48

2)   884284

   - 349407

      534877

3) 6 ÷ ²/₇

⇒ 6 × ⁷/₂

⇒ 21

4) Kevin makes $78.37 per day. Thus;

Amount he makes in 7 days = 78.37 × 7

⇒ $548.59

5) Product of 1389 and 6.58

⇒ 1389 × 6.58

⇒ 9139.62

6) We want to use distributive property to express 27 + 60.

Now, in distributive property, it implies that;

a(b + c) = ab + ac

Thus, let us get the greatest common factor of 27 and 60 and factorize it out.

GCF of 27 and 60 is 3. Thus;

27 + 60 = ((3*9) + (3*20))

⇒ 3(9 + 20)

⇒ 3(29)

⇒ 107

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Answer: 24

Step-by-step explanation: 180-114=66

66+90=156

180-156=24

Answer:

[tex]y=x[/tex]

Step-by-step explanation:

Each point has the same y coord as their x, so [tex]y=x[/tex]

Not that the first point works for both equations since it's the intersection between the two

Answer:

121.25lbs

Step-by-step explanation:

First find 3% of 125

125 x 0.03 = 3.75

Now subtract from 125

125 - 3.75 = 121.25

Answer: No, the triangle sum theorem is not true for a sphere surface.

Explanation:

Consider 3 cities A,B,C at the following locations

The placement of C is important because this then allows angle ABC to be 90 degrees. Angles BAC and BCA are also 90 degrees each because B is directly north of both A and C (all northerly roads lead to the north pole at point B). This bizarre triangle has all three angles of 90 degrees. The angles here sum to 90+90+90 = 270 degrees.

No, the triangle sum theorem is not true on the surface sphere.

The triangle sum theorem states that, the sum of the three interior angles of any triangle is always 180°.

Given that, is the triangle sum theorem true on the surface sphere or not, so in relation to Euclid's geometry,

A statement that is equivalent to the parallel postulate is that there exists a triangle whose angles add up to 180°. Since spherical geometry violates the parallel postulate, there exists no such triangle on the surface of a sphere. The sum of the angles of a triangle on a sphere is 180°(1 + 4f), where f is the fraction of the sphere's surface that is enclosed by the triangle. For any positive value of f, this exceeds 180°.

Hence, there exists no such triangle on the surface of a sphere.

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Answer:

Listen carefully in class take notes go home review, remember to listen carefully in class is very important, and you need a schedule to help you plan your time.

Step-by-step explanation:

Hope it's help

Brainliest pls

Answer:

Definitely pay attention

always ask questions

take a lot of notes

go through your notes

I recommend watching some videos about the math if you're lost

solve some problems in free time to try and understand

Answer:

$1102.50

Step-by-step explanation:

The appropriate compound interest formula is

A = P(1 + r)^t, where P is the principal ($1000), t is the number of years, and r is the interest rate as a decimal fraction.

Here A = $1000(1 + 0.05)^2  =  $1000(1.05)^2 = $1102.50

Answer:

a= 90

2a= 135

b=45

c= 45

I think x

Step-by-step explanation:

Answer:

B

Hope I helped

Answer:

hbgvfcdexsedfcgvgv b

Step-by-step explanation:

hgvfctdrxseazwsxrdctfvghbtfrdes

Answer:

40x - 16

Step-by-step explanation:

1. Multiply out: 8 x 5x = 40x,    8 x -2 = 16

2. Put together: 40x - 16

Answer:

40x - 16

Step-by-step explanation:

This task is an application of the Multiplicative Property.  Multiply each of the two terms inside parentheses by 8, obtaining

8(5x - 2) = 40x - 16

Answer:10000(1+0.01)^10 = 11046.22

The value would be $11046.22

Step-by-step explanation:

60+55=y

y=115

now x=180-Y( as being liner pair)

therefore=x=180-115=65

Step-by-step explanation:

two interior angles are equal to exterior angle

so 60+55=y

y=115

now x=180-Y( as being liner pair)

therefore=x=180-115=65

Answer:

4 people

Step-by-step explanation:

Answer:

You can write this ratio in three different ways:

1.   3/7

2.  3 to 7

3.  3:7

Answer:

3/7

3 to 7

Step-by-step explanation:

Answer:16 perhaps

Step-by-step explanation:

add 4 and 12. also i am sorry if this is incorrect. if its right mark me as brainliest please.

Answer: Equation: 3x+4=12x-14

x=2

Step-by-step explanation:

3x+4=12x-14

18x=9

x=2

The missing length of the given triangle divided into two right-angled triangle is 24.

The ratio 60:36:x is a ratio of 2:1:x. This means that the ratio of the lengths of the three segments is 2:1:x. The first segment has a length of 60, so the second segment must have a length of 1/3 * 60 = 24.

Here is the solution in more detail:

The ratio 60:36:x can be written as 2:1:x.

This means that the ratio of the lengths of the three segments is 2:1:x.

The first segment has a length of 60, so the second segment must have a length of 1/3 * 60 = 24.

Therefore, the missing length is 24.

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Answer:

Step-by-step explanation:

a.) the maximum is just the vertex

-35/(2*-4.9)= it takes 3.5714 seconds to hit the maximum

which in height is

-4.9*3.5714^2+35*3.5714 +1= 63.5 metres

b.) for this just plug in 2

-4.9*2^2+35*2+1= 51.4 metres

c.) just plug in f(0) =1 meter

d.) find the x intercepts (using the quadratic formula)

[tex]\frac{-35-\sqrt{35^2-4*-4.9*1}}{2*-4.9}=7.17131519096[/tex] seconds

(there is another answer but it doesn't make sense in the context of this question)