1. SSS
2. SAS
4. ASA
7. HL
8. Not Enough Information X
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a)    Line parallel to the line 3x+5y=-10 is -6x-10y=9

b)    Line parallel to the line 2y-4x=5 and which goes through the point

       (3,7) is y= 2x-1.

c)      Line perpendicular to the line 8x+6y=-1 and which goes through the

        point (-2,1) is 4y= 3x+ 10

The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables, and c is the constant term. It is an equation of degree one, with variables x and y.

a) Equation parallel to 3x+5y=-10 is

    -6x-10y=9

So, it satisfies:  [tex]\frac{a_1}{a_2} = \frac{b_1}{b_2} \neq \frac{c_1}{c_2}[/tex]

b)given equation into the form of y=mx+c,

     2y-4x=5

we can find the gradient of the line.

  2y= 5+4x

  y= [tex]\frac{5}{2}[/tex] + 2x

Hence, the gradient is 2.

As, Parallel lines have the same gradient

Thus the line would also have a gradient of 2.

Substitute m=2 into the equation:

y= 2x +c

To find the value of c, substitute a pair of coordinates.

When x=3, y=7,

7= 2(3) +c

7= 6 +c

c=6-7

c= -1

So, equation of line be: y= 2x-1.

c) Given: 8x+6y=-1

     6y= -1-8x

     y= [tex]\frac{-1}{6} -\frac{4}{3}x[/tex]

Hence, m= [tex]-\frac{4}{3}[/tex]

We know, if two lines are perpendicular have m and m' as slope then,

m*m'=-1

[tex]\frac{-4}{3} *m'=-1[/tex]

 m'= [tex]\frac{3}{4}[/tex]

Now, y= [tex]\frac{3}{4}[/tex] x +c

Put x= -1 and y=1

then, 1= [tex]\frac{3}{4}[/tex] (-2) + c

         c= [tex]\frac{5}{3}[/tex]

So,  y= [tex]\frac{3}{4}[/tex] x + [tex]\frac{5}{2}[/tex]

     4y= 3x+ 10

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Answer:

Step-by-step explanation:

A prism has a uniform cross-section equal in area to its base area. The volume of a prism is the product of this cross-section area and the length between the parallel bases.

__

A pyramid or cone has a cross section whose linear dimension is directly proportional to the distance from the peak. The volume is 1/3 of the product of the base area and the height.

  V = (1/3)Bh . . . . . formula for volume of a pyramid

__

Since the pyramid volume is 1/3 that of a prism with the same overall dimensions, the prism has 3 times the volume of the pyramid.

Answer:

108

Step-by-step explanation:

Calculator

Answer:

108

Step-by-step explanation:

(45 * 240) / 100

(10,800) / 100 

108

Answer:

Domain: [tex]-3\leq x\leq 3[/tex]

Range: [tex]0\leq y\leq 1.5[/tex]

Increasing: [tex]0\leq x\leq 3[/tex]

Decreasing: [tex]-3\leq x\leq 0[/tex]

No constant intervals

Step-by-step explanation:

Hope this helped

Answer:

y=5x

Step-by-step explanation:

As you can see for the numbers of minutes on the graph, it goes 2,4,6 and on. If you look at the miles you can see the numbers that connect with the numbers of minutes. You can see a pattern. If you multiple 2 x 5 you get 10, if you multiply 4 x 5 you get 20, and etc etc.

Hope this helps <3

Answer:

y = 5x

Step-by-step explanation:

Here :

The standard form of an equation :

Finding m

Equation of the line

Answer:

7 x 12

Step-by-step explanation:

[tex]a=l *w[/tex]

[tex]84=l*w\\w=l+5\\[/tex]

these equations we know, so we can use them like this

[tex]84=l*(l+5)\\84=l^2 +5l\\[/tex]

I then plugged this equation into the desmos calculator to get the answer

[tex]l=7[/tex]

we then plug this into a previous equation

[tex]w=l+5\\w=7+5\\w=12[/tex]

to get our answer l=7, w=12

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\$68000\\ P=\textit{original amount deposited}\\ r=rate\to 3.575\%\to \frac{3.575}{100}\dotfill &0.03575\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &30 \end{cases}[/tex]

[tex]68000=P\left(1+\frac{0.03575}{4}\right)^{4\cdot 30}\implies 68000=P(1.0089375)^{120} \\\\\\ \cfrac{68000}{1.0089375^{120}}=P\implies 23377\approx P[/tex]

Answer: Is (B) 23,377

Step-by-step explanation:

Approximately how much principal would need to be placed into an account earning 3.575% interest compounded quarterly so that it has an accumulated value of $68,000 at the end of 30 years?

a.

$23,706

b.

$23,377

c.

$52,069

d.

$58,944

Please select the best answer from the choices provided

A

( B )

C

D

Answer:

500 ÷ 3650 = 0.13698630136986 = 13.698630136986%

Step-by-step explanation:

[tex] {x}^{2} + 6x - 2 = {x}^{2} + 2px + {p}^{2} + q[/tex]

[tex]2p = 6[/tex]

[tex] {p}^{2} + q = - 2[/tex]

[tex]p = 3[/tex]

[tex] {3}^{2} + q = - 2[/tex]

[tex]q = - 11[/tex]

p=3, q=-11

jt- 22x+9..

It clearly says JT=22X+9

try 22+9..?

Answer:

la respuesta es 480

Step-by-step explanation:

(-8)(-15)=8*15=120

120*(4)

480

(-8)*(-15)*(4)=480

Step-by-step explanation:

(-8)*(-15)*(4)=480

The square root of 3415 is 58.438001334748

Answer:

I think it is

Step-by-step explanation:

4,8,5,15,6,12,7,6

8,5,15,6,12,7

5,15,6,12

15,6

15+6=21

Answer:

67600

Step-by-step explanation:

1300x52=67600

Answer:

$67,600

Step-by-step explanation:

1300 x 52 = 67600

Answer:

180-108=72   72/2=36 degrees

Step-by-step explanation:

Please ad brainliest

Answer:

1/6 = 0.17 Step-by-step explanation:

Answer: The answer is three

Step-by-step explanation:

The slope of the line is 2 and y-intercept is -20 and the linear equation can be framed as y = 2x—20 option first is correct.

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Taking two points to find the slope of the line:

(0, -20) and (5, -10)

[tex]\rm m =\dfrac{-10+20}{5-0}[/tex]

m = 2

The straight line equation:

y = mx + c

y = 2x + c

Plug (0, -20)

-20 = c

Thus, the slope of the line is 2 and y-intercept is -20 and the linear equation can be framed as y = 2x—20 option first is correct.

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Answer:

hope this will help you (•‿•)

Step-by-step explanation:

[tex]for \: 1st \: qn \: \\ let \: the \: angle \: be \gamma \\ \cos( \beta ) = \frac{b}{p} \\ \cos( \beta ) = \frac{16}{34} \\ \beta = \cos {}^{ - 1} ( { 0.470}^{ } ) \\ \beta = 61.965 \\ for \: 2nd \: qn \\ let \: the \: angle \: be \: \alpha \\ \tan( \alpha ) = \frac{p}{b} \\ \tan( \alpha ) = \frac{20}{15} \\ \alpha = \tan {}^{ - 1} (1.33) \\ \alpha = 53.061[/tex]

Al encontrar la medida x del lado del cuadrado, Federico debe presentar como solución igual a 5, ya que el lado del cuadrado debe ser un valor positivo.

Como el cuadrado es una figura geométrica que tiene lados iguales, para realizar el cálculo, debemos tomar la medida de uno de los lados y elevarlo al cuadrado. El cálculo se puede realizar mediante la siguiente fórmula:

Por lo tanto, la geometría plana se usa para calcular las medidas precisas de la habitación en relación con su área, longitud y altura.

La respuesta correcta es la opción D.

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Answer:

yes , because -3 is the whole number

Answer:

3. 26 problems left

4. $69.20

Step-by-step explanation:

1. First I divided 5 into 2 to get a decimal, 0.4, and then I multiplied 0.4 to 65.

0.4 x 65 = 26

2. It said that Luke paid 2.75 for himself and 6 other friends, which is 7 people. I then multiplied 2.75 x 7 and got 19.25. I then added 19.25 to the other amount of money, and got 69.20.

49.95 + 19.25 = 69.20

Hope this helps <3

Answer:

1,000,000

Step-by-step explanation:

you just get the Volume of the shape

Answer:

-7

1) 1/7. 3). 1. 5). 49. yes this is right answer

Answer:

C

Step-by-step explanation:

given a triangle with 2 sides and the angle between them given, then the area (A) is calculated as

A = [tex]\frac{1}{2}[/tex] bc sinA

the 2 sides are b = 4, c = 6 and ∠ A = 35° , then

A = [tex]\frac{1}{2}[/tex] × 4 × 6 × sin35° = 12 × sin35° ≈ 6.9 m² ( to the nearest tenth )

sounds nice? I'm responding to just answer a question