Find the equation of a parabola that has a vertex of (3,7) and contains the point (-2,-6)

Answer:

#7) x = 3

#8) x = 9

Step-by-step explanation:

# 7

Well AOB + BOC = AOC so...

4x - 1 + 2x + 15 = 8x + 8 (collect like terms)

6x + 14 = 8x + 8 (subtract 8 on each side)

6x + 6 = 8x (subtract 6x on both sides)

6 = 2x (divide by 2 on both sides)

3 = x

#8

COD + BOC = BOD so..

8x + 13 + 3x - 10 = 12x - 6 (collect like terms)

11x + 3 = 12x - 6 (add 6 on both sides)

11x + 9 = 12x (subtract 11x on both sides)

9 = x

Hope this helps!!

Answer:

ok

Step-by-step explanation:

The account must pay a 40 percent interest rate under Marcos.

A loan's or deposit's initial principal serves as the foundation for simple interest.

Contrarily, compound interest is calculated based on both the principal amount and the interest that is accrued on it each period.

Simple interest is simpler to compute than compound interest because it is just applied to the principal.

based on the information provided,

500+x=200

x=200/500

x=40

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Answer:

Loading Answer...

Step-by-step explanation:

Loading Explanation...

Answer:

2/3

Step-by-step explanation:

3-1/5-2=

2/3

Answer:

[tex] \overline{EG} \cong \overline{HK} [/tex]

[tex] \overline{HJ} \cong \overline{EF} [/tex]

[tex] \angle F \cong \angle J [/tex]

[tex] \angle H \cong \angle E [/tex]

∆FGE ≅ ∆JKH

Step-by-step explanation:

Since ∆EFG ≅ ∆HJK, therefore, the corresponding sides and angles of both ∆s are congruent.

Thus:

[tex] \overline{EG} \cong \overline{HK} [/tex]

[tex] \overline{HJ} \cong \overline{EF} [/tex]

[tex] \angle F \cong \angle J [/tex]

[tex] \angle H \cong \angle E [/tex]

∆FGE ≅ ∆JKH (take note of the arrangement of the letters or naming of each vertex of both triangles. Each vertex of in one ∆ must correspond to the vertex of the other for the ∆s to be congruent)

△EFG ≅ △HJK,

From the figure attached we can conclude  that

  [tex]\rm \bar {EG}[/tex] ≅ [tex]\rm \bar {HK}[/tex]

  [tex]\rm \bar HJ[/tex] ≅ [tex]\rm \bar FE[/tex]

   ∠[tex]\rm F[/tex] ≅∠[tex]\rm J[/tex]

   ∠[tex]\rm H[/tex] ≅∠[tex]\rm E[/tex]

△FGE ≅ △JKH

Given that

△EFG ≅ △HJK,

Since △EFG ≅ △HJK is given hence we can conclude that corresponding sides and corresponding angles of both the triangles will be equal.

Two triangles are said to be congruent when they are of similar shape and size means all the angles of one triangle are  equal to the corresponding angles of other triangle and  all the  sides of one triangle are equal to  corresponding sides of other triangle.

From the figure attached we can conclude  that

  [tex]\rm \bar {EG}[/tex] ≅ [tex]\rm \bar {HK}[/tex]

  [tex]\rm \bar HJ[/tex] ≅ [tex]\rm \bar FE[/tex]

   ∠[tex]\rm F[/tex] ≅∠[tex]\rm J[/tex]

   ∠[tex]\rm H[/tex] ≅∠[tex]\rm E[/tex]

△FGE ≅ △JKH

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Answer:

WX = 24

Step-by-step explanation:

Centroid of a triangle divides the medians of the triangle in the ratio 2 : 1

Therefore,

WM/ MX = 2/1

16/MX = 2/1

2MX = 16

MX = 16/2

MX = 8

WX = WM + MX

WX = 16 + 8

WX = 24

The value of the side WX  is equal to 24. The correct option is B.

The center of the thing is represented by its centroid. The centroid of a triangle is the location where the triangle's three medians intersect. It can alternatively be described as the location where the three medians come together.

A line connecting a side's midpoint and the triangle's opposite vertex is called the median. Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.

The centroid of a triangle divides the medians of the triangle in the ratio of 2: 1.

Here, the ratio of the two sides will be given as:-

WM/ MX = 2/1

Calculate the value of MX to get the value of WX.

16/MX = 2/1

2MX = 16

MX = 16/2

MX = 8

The value of WX will be:-

WX = WM + MX

WX = 16 + 8

WX = 24

Therefore, the value of the side WX  is equal to 24.

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Answer:

B.

Step-by-step Explanation:

The correct number line for -2.75 < x in the given options is the second diagram.

A number line is a picture of straight line that represents real numbers. These real numbers include both negative and positive numbers.

For the given expression which -2.75 < x, that is negative 2.75 is less than x or x is greater than negative 2.75.

On the number line, the arrow with unshaded circular bottom must start from -2.75 and point towards the right.

Thus, the correct number line in the given options is the second diagram or option B.

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Answer:

83

Step-by-step explanation:

Answer:

x = 59

y = 83

Step-by-step explanation:

First, you need to solve for y in order to solve for x. Using the Triangle Sum Theorem, you will find that y is 83 degrees.

Now, using the Vertical Angles Theorem, you can figure out the third angle of the triangle in which x is, 83.

Using the Triangle Sum Theorem again, you will find that x is 59.

Answer:

y= -5x - 21

Step-by-step explanation:

parallel lines have the same slope, so you know the slope.

you need to use the point slope formula y-y1=m(x-x1)

with this equation, this looks like y - -1 =- 5(x - -4)

double negatives are positives, so to keep this easier on the eyes, let's make it y + 1= -5(x + 4)

distribute the -5. you should get y + 1 = -5x - 20

subtract 1 to move it from the left side to the right and you get your answer!

y = -5x - 21

Answer:

5

Step-by-step explanation:

Answer:

~17.67

Step-by-step explanation:

Pythagorean theorem

a^2+b^2=c^2

7.5^2+16^2=c^2

~17.67

Answer:

Step-by-step explanation:

We use pythagorus theorem which is; a²+b²=c²

(16cm)²+(75/10cm)²=x²

256cm²+225/4cm²=x²

1249/4cm²=x²

√1249/4cm²=√x²

312.25cm=x

Answer:

(B). A physical change takes place that causes molecules to move faster

Step-by-step explanation:

When a bar of chocolate melts its physical form is changed, there is no difference in its chemical composition as it is still same.

When the chocolate bar was frozen its molecules were held strongly, and they were barely moving, whereas when it melts the molecules are more free to move now.

Answer:

0.0007264

Step-by-step explanation:

I think it is right but if not I am so sorry! Hope this helps!

Answer: below

Step-by-step explanation: Given f(x) =kxn where k is a constant, then f'(x) = nkx(n - 1)

Can you apply this principle to this problem, Let me know if you have any further questions about this problem. Thanks.

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Answer:

You would multiply $8200 by .075, giving you 615. Then to find the decrease. Take the starting value (8200) by the end value (615). and you would get 7,585.

Answer:

9

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Mitochondria is the powerhouse of the cell

Answer:

2000+(50× x)

Step-by-step explanation:

The certain salary is 2000 but we do not know how much sale where made so the amount is placed as x inwhich will be multiples by 50 then added to 2000 to get total

Answer:

x=3/8+c/4

Step-by-step explanation:

Answer:

how are yall so smart bc im sittin over here like bruh these guys are smarter than enistain

Step-by-step explanation:

Answer:

8/-11

Step-by-step explanation:

m=y2-y1/x2-x1

16-8=8

9-20=(-11)

8/-11

hope this helps :3

if it did pls mark brainliest

Answer:

Thanks for the free points

Answer:

So, the answer for b is 20.

The way to figure this out is:

angle N is congruent to angle S

angle M is congruent to angle M

side NM is 10

because of the three things above, triangle NHM is congruent to triangle SML because of SAS(side angle side postulate)

Hope that helps! Let me know if it does! ;P

Answer:72.1

103*.7=72.1

I hope this is good enough:

Answer: 3/20 also known as 15%  Hope this helps Have a great night

Step-by-step explanation:

Answer:

I think its 'r= 15/7=0.467'

Step-by-step explanation: