Please help! Identify an equation in point-slope form for the line parallel to y=3/4x-4 that passes through (-1,7).

Given:

[tex]a=1.6,b=\dfrac{1}{-2},c=\dfrac{-5}{-7}[/tex]

To verify:

[tex]a(b-c)=ab-ac[/tex] for the given values.

Solution:

We have,

[tex]a=1.6,b=\dfrac{1}{-2},c=\dfrac{-5}{-7}[/tex]

We need to verify [tex]a(b-c)=ab-ac[/tex].

Taking left hand side, we get

[tex]a(b-c)=1.6\left(\dfrac{1}{-2}-\dfrac{-5}{-7}\right)[/tex]

[tex]a(b-c)=1.6\left(-\dfrac{1}{2}-\dfrac{5}{7}\right)[/tex]

Taking LCM, we get

[tex]a(b-c)=1.6\left(\dfrac{-7-10}{14}\right)[/tex]

[tex]a(b-c)=\dfrac{16}{10}\left(\dfrac{-17}{14}\right)[/tex]

[tex]a(b-c)=\dfrac{8}{5}\left(\dfrac{-17}{14}\right)[/tex]

[tex]a(b-c)=-\dfrac{68}{35}\right)[/tex]

Taking right hand side, we get

[tex]ab-ac=1.6\times \dfrac{1}{-2}-1.6\times \dfrac{-5}{-7}[/tex]

[tex]ab-ac=-\dfrac{16}{20}-\dfrac{8}{7}[/tex]

[tex]ab-ac=-\dfrac{4}{5}-\dfrac{8}{7}[/tex]

Taking LCM, we get

[tex]ab-ac=\dfrac{-28-40}{35}[/tex]

[tex]ab-ac=\dfrac{-68}{35}[/tex]

Now,

[tex]LHS=RHS[/tex]

Hence proved.

Answer:

The quotient is 4x+5  and  the remainder is -13

Step-by-step explanation:

Using synthetic division

-5        4      25   12

Bringing down the 4 and multiplying

-5        4      25   12

        ↓       -20 -25

    ----------------------

         4        5    -13

The quotient is 4x+5  and  the remainder is -13

Answer:

  4x   +5    [tex]\frac{-13}{x+5}[/tex]

Step-by-step explanation:

          .           4x   +5    [tex]\frac{-13}{x+5}[/tex]

x + 5 | 4x^2 + 25x + 12

        - 4x^2 + 20x

                         5x + 12

                         5x + 25

                               -13

Answer:

x = 30

Step-by-step explanation:

x + 2x + 3x = 180

             6x = 180

              6       6

               x =  30

Answer:

Only A is true

for sure

....................

Answer:

Step-by-step explanation:

These are similar triangles. We know that because we know that all right triangles are similar. The height of the red one is 8 and the height of the blue one is 4; that means that the red one is twice the size of the blue one; likewise, the blue one is half the size of the red one. That means that ALL the measurements of these triangles exist in that ratio...even the base of the blue one. If the base of the red one is 3, and the red one is twice the size of the blue one, then the base of the blue one is 3/2 or 1.5. I can't see your choices because they are too small.

9514 1404 393

Answer:

  (c)  615.44 cm^2

Step-by-step explanation:

The surface area of a sphere is given by ...

  A = 4πr² . . . . where r is the radius, half the diameter

  A = 4(3.14)(7 cm)² = 196(3.14) cm² = 615.44 cm²

Answer:

since b is 348421 and we are looking for b21 it is 348421(12)

Answer:

[tex]\text{B. }p(x)=x(x-2)(2x-7)[/tex]

Step-by-step explanation:

The zeroes of a function occur when the function crosses the x-axis. The function shown crossed the x-axis at [tex]x=0[/tex], [tex]x=2[/tex], and [tex]x=3.5[/tex]. These values of [tex]x[/tex] should produce an output of 0 when plugged into the function.

Therefore, the equation of the function graphed is [tex]\boxed{\text{B. }p(x)=x(x-2)(2x-7)}[/tex]

Answer:

x = 3.3

Step-by-step explanation:

A equation is given to us and we need to solve out for x. The given equation is ,

[tex]\sf\longrightarrow 5^{x -2}= 8 [/tex]

Take log on both sides with base as " 10" . We have ,

[tex]\sf\longrightarrow log_{10} 5^{x-2}= log_{10}\ 8[/tex]

Simplify using the property of log , [tex]\sf log a^m = m log a [/tex] , we have ,

[tex]\sf\longrightarrow ( x -2) log_{10} 5 = log_{10} 8 [/tex]

Simplify ,

[tex]\sf\longrightarrow ( x -2 ) log_{10}5 = log_{10} 2^3[/tex]

Again simplify using the property of log ,

[tex]\sf\longrightarrow (x-2) log 5 = 3 log 2[/tex]

We know that log 5 = 0.69 and log 2 = 0.301 , on substituting this , we have ,

[tex]\sf\longrightarrow ( x - 2 ) = \dfrac{ 3\times 0.301}{0.69}[/tex]

Simplify the RHS ,

[tex]\sf\longrightarrow x - 2 = 1.30 [/tex]

Add 2 both sides ,

[tex]\sf\longrightarrow \boxed{\blue{\sf x = 3.30}}[/tex]

Hence the Value of x is 3.30 .

Answer:

its actually 3.292 because we round to the nearest thousandth and thats not even the equation you use above

Step-by-step explanation:

For this equation we use the formula log a^m=m (log a) so the equation will be written as log 5 (5^x-2) = log 5 (8). You use the base, which is 5, and use log to base 5 on both sides of the equation. Then you take the exponent " x-2" and write( x-2) log 5 (5) = log 5(8). Since log a =1, you multiply that 1 by x-2, which keeps it x-2. Making the equation x-2 = log 5 (8). Next, we use the change of the base properties with the formula log b^y= log y/ log b. The equation will be written as x-2 = log 8/ log 5, since 5 is the base it stays in the bottom or basement. We then add +2 to both sides of x-2 and log 8/ log 5. To solve this equation, you can find out what log 8 and log 5 are and divide those and add +2 to solve. So log 8 = 0.903 and log 5 = 0.698970 and divide those to get 1.29190 +2 and you get the answer rounded as 3.292. 

Answer: -13

Step-by-step explanation:

[tex]\frac{M(3)+M(2)}{2} =\frac{[-2(3)^{2}] +[-2(2)^{2}]}{2}=\frac{(-2)(9)+(-2)(4)}{2}=\frac{-18-8}{2}=\frac{-26}{2}=-13[/tex]

Answer: 3. 55° 2. 225° 1. 125°

Step-by-step explanation: don't want brainliest

Answer:

It always pass through the origin.(0,0)

Answer:

The volume of water that will fill the spa tub is 5.9 cubic meters.

Step-by-step explanation:

Volume of water that would fill the spa tub = volume of semi sphere - (volume of the first cylinder + volume of the second cylinder)

i. volume of first cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h

where r is the radius and h is the height of the cylinder.

r = [tex]\frac{0.75}{2}[/tex] = [tex]\frac{3}{8}[/tex]

 = 0.375 m

h = 0.80 m

volume of the first cylinder = [tex]\frac{22}{7}[/tex] x [tex](\frac{3}{8} )^{2}[/tex] x 0.8

                                        = 0.3536 cubic meters

ii. volume of the cylinder underneath = [tex]\pi[/tex][tex]r^{2}[/tex]h

r = [tex]\frac{1.25}{2}[/tex] = [tex]\frac{5}{8}[/tex]

 = 0.625

h = 0.70 m

volume of the cylinder underneath = [tex]\frac{22}{7}[/tex] x [tex](\frac{5}{8}) ^{2}[/tex] x 0.7

                                                      = 0.8594 cubic meters

iii. volume of the semi sphere = [tex]\frac{2}{3}[/tex] [tex]\pi[/tex][tex]r^{3}[/tex]

where r is the radius = 1.5 m

volume of the semi sphere = [tex]\frac{2}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex](1.5)^{3}[/tex]

                                             = 7.0714 cubic meters

Thus,

volume of the water to fill the spa tub = 7.0714 - (0.3536 + 0.8594)

                                                     = 5.8584

The volume of water that will fill the spa tub is 5.9 cubic meters.

Answer:

Your answer would be 32/49.

Step-by-step explanation:

4/7 tons = 7/8 x

4/7 / 7/8

32/49

The tons of concrete are required to cover the entire bridge is 32/49 tons.

A fraction is a non-integer that is made up of a numerator and a denominator. An example of a fraction is 4/7.

To determine this value, divide 4/7 by 7/8

4/7 ÷ 7/8

4/7 x 8/7 = 32/49 tons

To learn more about the division of fractions, please check: https://brainly.com/question/25779356

first send the fox alone to the other side then send the corn, the fox wont eat the corn so that should be fine then lastly go with the farmer and the chicken, hope this helps!

The answer is y= -2x.

The equation of the line passing through points (0, 0) and (-4, 8) is y = -2x

The equation of line is an algebraic form of representing the set of points, which together form a line in a coordinate system.

Given is a graph of a line passing through points (0, 0) and (-4, 8), we need to find the equation of the line,

We know that, the equation of a line passing through two points is given by,

y-y₁ = y₂-y₁ / x₂-x₁ (x-x₁)

Here, (x₁, y₁) and (x₂, y₂) are (0, 0) and (-4, 8)

So, the equation of the line =

y-0 = 8/(-4) (x-0)

y = -2x

Hence, the equation of the line passing through points (0, 0) and (-4, 8) is y = -2x

Learn more about equation of line, click;

https://brainly.com/question/21511618

#SPJ7

Step-by-step explanation:

w

Answer:

[tex]18-\sqrt{-25}[/tex]

[tex]\sqrt{-25} =5i[/tex]

[tex]=18-5i[/tex]

OAmalOHopeO

Answer:

Step-by-step explanation:

Convert mixed fraction to improper fraction.

[tex]4\frac{1}{2}[/tex] ÷ [tex]1\frac{1}{4} =[/tex] [tex]\frac{9}{2}[/tex] ÷ [tex]\frac{5}{4}[/tex]

In fraction division, Use KCF method

K - Keep the first fraction

C - Change the ÷ operation to  * operation

F - Flip the second fraction

  [tex]= \frac{9}{2}*\frac{4}{5}\\\\= \frac{9}{1}*\frac{2}{5}\\\\=\frac{18}{5}\\\\= 3\frac{3}{5}[/tex]

Answer:

From the graph, when x=-6, y=1

so, your answer is A) f(x)=∛(x-6)+1

OAmalOHopeO

Answer:

Step-by-step explanation:

[tex]\Large \boldsymbol{} f(x) \ \ inverse \ \ function \ \ (f(x))^{-1} \\\\ y=7x+5 \\\\x=7y+5 \\\\ y=\dfrac{x-5}{7} \ \ or \ \ f(x)^{-1}= \dfrac{x-5}{7}[/tex]

Answer:

fourteen times six equals eighty-four, eighty-four plus six equals 90

Answer:

1/8

Step-by-step explanation:

1/4*2/2=4/8

4/8+3/8=7/8

1-7/8=1/8

Answer:

[tex] - 12xy {}^{2} [/tex]

Step-by-step explanation:

A coefficient is a rational number in front of multiple consecutive terms.

Answer:

it is b I already took it I just checked again

Answer:

? =30

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin ? = 25/50

Taking the inverse sin of each side

sin ^-1( sin ?) = sin^-1 ( 1/2)

? =30

(a) Dilation is the process of extending the line segment AB to the longer one A'B'. The scale factor has to be larger than 1, and also it has to be positive.

(b) To get the dilation factor, you should first compute the length of AB, then compare it to the length of A'B'.

A is the point (-4, 2), and B is the point (2, -4). So the length of AB is

√((-4 - 2)² + (2 - (-4))²) = √((-6)² + 6²) = √72

A' is the point (-8, 4) and B' is (4, -8). The coordinates of A' and B' are twice the coordinates of A and B, so the distance is

√((2(-4) - 2(2))² + (2(2) - 2(-4))²) = √(2²×72) = 2√72

Then the dilation factor is

(2√72) / √72 = 2

As for dying, don't worry about it. It happens to everyone.