write f(x)=-(x+3)^2+8 in standard form

Answer:

Step-by-step explanation:

ΔIJK = ΔLMN --- (given)

So,-----------------------

KI / KJ = NL / MN

19 / 40 = 60 / MN

MN = 60 × 40 / 19

MN = 126.31

The required measure of side MN will be 126.3 units.

Similar Triangles are defined as two triangles with the same shape, equal pair of corresponding angles, and the same ratio of the corresponding sides. The triangles that like one another but may not be exactly the same size are said to be similar triangles.

Given that triangle ΔIJK ~ ΔLMN in the question.

We know that Similar triangles with the same shape, equal pair of corresponding angles, and the same ratio of the corresponding sides.

As per the similarity rule of triangles, we can write the ratio as:

⇒ KI / KJ = NL / MN

⇒ 19 / 40 = 60 / MN

⇒ MN = 60 × 40 / 19

⇒ MN = 126.3157

Rounded to the nearest tenth to get

⇒ MN = 126.3

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Answer:

x= 2

Step-by-step explanation:

Subtract 20 from both sides

2.5x + 20 − 20 = 25 − 20

2.5x= 5

Divide both sides by 2.5

2.5x/2.5= 5/2.5

x= 2

Answer:

4 7/10

Step-by-step explanation:

Answer:

4 7/10

Step-by-step explanation:

Convirt all the fractions into 1/10ths. Makes addition easy. Hope this helps

Answer:

50

Step-by-step explanation:

as triangle is =180

then , 30 +100 +x =180

130 +x = 180

x= 180-130

=50

Answer:

50 degrees

Step-by-step explanation:

A triangle is 180 degrees and there is already a 30 and 100.

180-30-100=50.

Hope this helps =]

Answer:

[tex]Total\ length = 8\frac{5}{8}\ miles[/tex]

Step-by-step explanation:

Given

See attachment for ski trails

Required

Total length of [tex]2\frac{7}{8}[/tex] ski trails

From the attached figure, there are 3 skis with length [tex]2\frac{7}{8}\ miles[/tex]

So:

The total length is:

[tex]Total\ length = 3 * 2\frac{7}{8}[/tex]

Express fraction as improper fraction

[tex]Total\ length = 3 * \frac{23}{8}[/tex]

[tex]Total\ length = \frac{3 *23}{8}[/tex]

[tex]Total\ length = \frac{69}{8}[/tex]

[tex]Total\ length = 8\frac{5}{8}\ miles[/tex]

Answer:

steps below

Step-by-step explanation:

cos 23° = 6/x

0.92 = 6/x

x = 6/0.92 = 6.52

Answer:

Yes

Step-by-step explanation:

Congruent =  identical in form; coinciding exactly when superimposed

I noticed this was IXL, sorry bout that, good luck ;)

Answer:

maximum

Step-by-step explanation:

maximum/vertex is (5,3)

line of symmetry is 5

crosses y axis at  (o,-72)

crosses x axis at (4,0) and (6,0)

this the is the equation if you simplify it

-3x^2+30x-72

Answer:

a

Step-by-step explanation:

pleasejjjffgddrjhfyuh

Answer:

- 1/2

Step-by-step explanation:

I took the test and it was right.

a. 5

b. 6

c. 8

d. 10

e. 12

f. 15

Answer:

a) 5

b) 6

c) 8

d) 10

e) 12

f) 15

Answer:

let angle be x

Step-by-step explanation:

relationship between perpendicular and hypotenuse is given by sin angle

sin x =p/h

sin x=13/26

x=sin-¹(13/26)=30°

2.relationship between perpendicular and base is given by tan angle

tan x =p/b

tan x =7/16

x=tan -¹(7/16)=23.63°

3.relationship between between perpendicular and base is given by tan angle

tan x =p/b

tanx=31/50

x=tan-¹(31/50)=31.8°

4.relationship between base and hypotenuse is given by cos angle

cos x =b/h

cos x=5/7

x=cos-1(5/7)=44.4°

5.relationship between perpendicular and hypotenuse is given by sin angle

sin x =p/h

sin x=4/14

x=sin-¹(4/14)=16.6

6..relationship between base and hypotenuse is given by cos angle

cos x=6/7

x=cos-¹(6/7)=31.0027

7.relationship between perpendicular and base is given by tan angle

.tanx=29/37

x=tan-¹(29/37)=38.09

8.relationship between perpendicular and hypotenuse is given by sin angle

.sin x=43/60

x=sin-¹(43/60)=45.78

9..relationship between base and hypotenuse is given by cos angle

cos x=32/44

x=cos-¹(32/44)=43.34

your answer is 1725 hope that helped

Answer:

[tex]\Sigma_{k=1}^{n}[3(\frac{10}{9} )^{k-1}][/tex]

Step-by-step explanation:

A geometric sequence is a list of numbers having a common ratio. Each term after the first is gotten by multiplying the previous one by the common ratio.

The first term is denoted by a and the common ratio is denoted by r.

A geometric sequence has the form:

a, ar, ar², ar³, . . .

The nth term of a geometric sequence is [tex]ar^{n-1}[/tex]

Therefore the sum of the first n terms is:

[tex]\Sigma_{k=1}^{n}(ar^{k-1})[/tex]

Given a geometric series with a first term of 3 and a common ratio of 10/9, the sum of the first n terms is:

[tex]\Sigma_{k=1}^{n}[3(\frac{10}{9} )^{k-1}][/tex]

Answer:

16/19 students

New Answer:

3/5 students

Step-by-step explanation:

Answer: y = -5/6 x - 1

Step-by-step explanation:

The slope is -5/6, which is why x = -5/6. The - 1 is so the line on the graph will pass through (0,-1) and (-6,4).

Answer:

Step-by-step explanation:

Answer:

not a polygon

Step-by-step explanation:

The given figure is not a polygon.

A polygon is a closed plane figure formed by three or more line segments that meet at points called vertices.

Given is figure,

We know that, a polygon is made up of straight lines connected with each other in a close circuit.

Here, in the figure, there is no polygon, but two polygons joined by a vertex.

Hence, we can say that the given figure is not a polygon.

For more references on polygons, click;

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Answer:p=28 and q=4(7)

Step-by-step explanation:

p=28 and q=4(7)

Answer:

y=3/4x

Step-by-step explanation:

y-y1=m(x-x1)

y-(-3)=3/4(x-(-4))

y+3=3/4(x+4)

y=3/4x+12/4-3

y=3/4x+3-3

y=3/4x

Answer:

45

Step-by-step explanation:

Answer:

AD = 7

Step-by-step explanation:

Given that the two triangles are similar by the SSS (side side side) postulate, the triangles share the same ratios when it comes to their sides.

We know the values for lines DB, EB and CB, therefore we can solve for AB, and subtract DB to find AD

We can solve the problem by solving for x:

[tex]\frac{x}{32} =\frac{21}{24}[/tex]

Cross multiply.

[tex]24x = 672[/tex]

Simplify.

[tex]x=28[/tex]

Subtract the value of DB to find AD.

[tex]28-21=7[/tex]

[tex]AD=7[/tex]

Answer:

-6n-5=31

Step-by-step explanation:

-6n=36

n=36/-6

n=(-6)

Answer:

Solve the equation. Type your answer in the box as positive or negative whole number (Examples: 2 -4 6 -8)

Step-by-step explanation:

Hey if u see this CORTEZ ARI KIRITO GUYS MY ACC GOT DELETED TEXT ME BACK PLZPLZPLZZZ

Answer:

The answer is 25 feet.

Step-by-step explanation:

You have to apply Pythagoras Theorem :

[tex] {c}^{2} = {15}^{2} + {20}^{2} [/tex]

[tex] {c}^{2} = 625[/tex]

[tex]c = \sqrt{625} [/tex]

[tex]c = 25 \: feet[/tex]

Find the rate of change for the direct variation using the formula y = kx

Solve for k: 10 = k2

K = 10/2

K = 5

Now solve for y when x is 8:

Y = 5(8)

Y = 40

Answer:

x+y=−3

Step-by-step explanation:

hope this heps:)

Answer:

x+y=-3 (put -3 into the box)

Step-by-step explanation:

add x to both sides, and you get x+y= -3.

Answer:

Se fabricaron:

1000 balones de los que cuestan $20

75 balones de los que cuestan $30

50 balones de los que cuestan $40

Step-by-step explanation:

Vamos a definir las variables:

x = número de balones de $100.00 vendidos.

y = número de balones de $120.00 vendidos

z = número de balones de $160,00 vendidos.

Sabemos que se producen 1125 balones, entonces:

x + y + z = 1125

y el costo de producción es $24,250, conociendo el costo de cada balón podemos escribir:

x*$20 + y*$30 + z*$40 = $24,250

Y también sabemos que la ganancia mensual es $92,750

Ganancia es la diferencia entre el dinero total recibido y los costos, entonces:

x*$100 + y*$120 + z*$160 - $24,250 =  $92,750

x*$100 + y*$120 + z*$160 = $92,750 + $24,250

x*$100 + y*$120 + z*$160 = $117,000

Entonces tenemos un sistema de 3 ecuaciones:

x + y + z = 1125

x*$20 + y*$30 + z*$40 = $24,250

x*$100 + y*$120 + z*$160 = $117,000

Para resolver esto debemos comenzar por aislar alguna variable en alguna de las ecuaciones, yo comenzare aislando x en la primera ecuación:

x = 1125 - y - z

Ahora podemos reemplazar esto en las otras dos ecuaciones para obtener:

(1125 - y - z)*$20 + y*$30 + z*$40 = $24,250

(1125 - y - z)*$100 + y*$120 + z*$160 = $117,000

Si simplificamos esto obtenemos:

$22,500 + y*$10 + z*$20 = $24,250

$112,500 + y*$20 + z*$60 =  $117,000

Ahora de vuelta, debemos aislar una variable en una de las ecuaciones, si aislamos y en la primera ecuación obtenemos:

y*$10 = $24,250 - $22,500 -  z*$20

y = ($1,750 - z*$20)/$10

y = 175 - 2*z

Reemplazando esto en la otra ecuación obtenemos:

$112,500 + (175 - 2*z)*$20 + z*$60 =  $117,000

Ahora podemos resolver esto para z.

(175 - 2*z)*$20 + z*$60 =  $117,000 - $112,500

(175 - 2*z)*$20 + z*$60 = $4,500

$3,500 - z*$40 + z*$60 = $4,500

$3,500 + z*$20 = $4,500

z*$20 = $4,500 - $3,500 = $1,000

z = $1,000/$20 = 50

Entonces tenemos 50 balones de los que cuestan $40.

Usando la ecuación y = 175 - 2*z podemos encontrar el valor de y.

y = 175 - 2*50 = 75

Entonces tenemos 75 balones de los que cuestan $30.

Usando la ecuación x = 1125 - y - z podemos encontrar el valor de x.

x = 1125 - 75 - 50 = 1000

tenemos 1000 balones de $20.