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Answer:

y = - [tex]\frac{5}{3}[/tex] x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 7) and (x₂, y₂ ) = (6, - 8)

m = [tex]\frac{-8-7}{6+3}[/tex] = [tex]\frac{-15}{9}[/tex] = - [tex]\frac{5}{3}[/tex] , then

y = - [tex]\frac{5}{3}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (6, - 8) , then

- 8 = - 10 + c ⇒ c = - 8 + 10 = 2

y = - [tex]\frac{5}{3}[/tex] x + 2 ← equation of line

Answer:

x = 800 and y = 330

Step-by-step explanation:

Let two numbers be x and y.

Sum of two numbers is 1130.

Their difference is 470.

So,

x+y=1130 ...(1)

x-y = 470 ...(2)

Add equation (1) and (2).

x+y+x-y = 1130+470

2x = 1600

x = 800

Put the value of x in equation (1)

800+y=1130

y = 1130-800

y = 330

So, the smallest number is 330 and the largest number is 800.

Answer:

angle 1 is 30 degrees

Answer:

80 is the correct ansqer

Answer:

we have two equations:

2*x + y = 20

y = a + 18/x - 3

We want to find the values of a such that the graphs of the equations do not intersect.

The first step is to isolate y in the first equation.

now we get:

y = 20 - 2*x

Then we have the system of equations:

y = 20 - 2*x

y = a + 18/x - 3

If the line intersects the curve at a point (x, y), then at that point both functions have the same value of y, then:

20 - 2*x = y = a + 18/x- 3

We want to find a value of such that this does not happen.

Let's solve that equation and see what we can find.

20 - 2*x =  a + 18/x - 3

20 + 3 = a + 18/x + 2*x

23 = a + 18/x + 2*x

(23 - a) = 18/x + 2*x

if we multiply all values by x, we get:

(23 - a)*x = 18 + 2*x^2

Then we have a quadratic equation, we can write this as:

2*x^2 - (23 - a)*x + 18 = 0

Now, remember that if the determinant of the quadratic function is smaller than zero, then the function does not have any real solution, then we need to find a such that the determinant of this quadratic equation is smaller than zero.

Remember that for a quadratic equation:

a*x^2 + b*x + c = 0 is:

b^2 - 4*a*c

In this case, the determinant is:

(-(23 - a))^2 - 4*2*18

(23 - a)^2 - 144

And this must be smaller than zero, then:

(23 - a)^2 - 144 < 0

23^2 - 2*23*a + a^2 - 144 < 0

529 - 46*a + a^2 - 144 < 0

a^2 - 46*a + 385 < 0

Notice that the function has a positive leading coefficient, then the arms of the function go upwards, then the region of the function that is smaller than zero is the values of a that are between both roots of a.

Then we need to solve:

a^2 - 46*a + 385 = 0

We can use the Bhaskara's equation to find the roots, the roots are given by:

[tex]a = \frac{-(-46) +- \sqrt{(-46)^2 - 4*1*385} }{2*1} = \frac{46 +-24}{2}[/tex]

Then the two roots are:

a₁ = (46 + 24)/2 = 35

a₂ = (46 - 24)/2 = 11

Then for all the values of a suc that:

11 < a < 35

The line does not intersect the curve.

Given:

In triangle ABC, point D is the centroid, and BD = 6.

To find:

The measure of side BE.

Solution:

We know that the centroid divides each median in 2:1.

In the given figure BE is a median and point D is the centroid. It means point D divides the segment BE in 2:1.

Let BD and DE are 2x and x respectively.

We have, BD = 6 units.

[tex]2x=6[/tex]

[tex]x=\dfrac{6}{2}[/tex]

[tex]x=3[/tex]

Now,

[tex]BE=BD+DE[/tex]

[tex]BE=6+x[/tex]

[tex]BE=6+3[/tex]

[tex]BE=9[/tex]

Therefore, the measure of side BE is 9 units.

Answer:

A. Yup. A.

Step-by-step explanation:

Answer:

y = 2

Step-by-step explanation:

use slope formula:

(4 - y) / (3 - 10) = -2/7

4-y / -7 = -2 /7

cross-multiply:

7(4 - y) = (-7)(-2)

28 - 7y = 14

-7y = -14

y = 2

Answer: C -7/3

Step-by-step explanation: Slope is rise over run, rise/run, and your line means your slope will be negative. So, you will first count straigt down from your firt point until you reach the line of the second point, which is 7. Next, you would count/run to the point, which is 3. Rise/run = -7/3. I hope this helps :)

Answer:

thank you lil shawty

Step-by-step explanation:

Answer:

(-5,1)

Step-by-step explanation:

Given the coordinate of the location of the theatre as (1,7)

If this was the coordinate after moving 6 blocks to your friend's house, then the coordinate of the location of my friend house will be gotten as thus;

C = (1-6, 7-6) (since he moved 6blocks)

C = (-5, 1)

Hence the required coordinate is (-5,1)

Answer:

[tex] z = 12 \sqrt{5} [/tex]

Step-by-step explanation:

By geometric mean property:

[tex]y = \sqrt{24 \times 6} \\ \\ y = \sqrt{144} \\ \\ y = 12 [/tex]

By Pythagoras Theorem:

[tex] z = \sqrt{ {12}^{2} + {24}^{2} } \\ \\ z = \sqrt{144 + 576} \\ \\ z = \sqrt{720} \\ \\ z = 12 \sqrt{5} [/tex]

Answer:

! will edit once i get a response !

Step-by-step explanation:

do you have a picture? if so, please upload it

Answer:

Step-by-step explanation:

Draw altitudes from A and D to get two 30°-60°-90° triangles.

The sides of a 30°-60°-90° triangle are in the ratio 1:√3:2.

BC = 3√3 + 16 + 9√3 = 16 + 12√3

Answer:

B

Step-by-step explanation:

650000 = 10⁵x 6.5

Answer:

The answer is b.

Step-by-step explanation:

Answer:

=7

Step-by-step explanation:

= -8+(-5)+9+11

= -8-5+20

= -13+20

= 7

Answer:

b

Step-by-step explanation:

Answer:

its 5

Step-by-step explanation:

Answer:

jwjsjsjwujksikwpqñk1972

Answer:

$432.18

Step-by-step explanation:

Time and a half = 50% more pay rate / 1.5*6.86 = $10.29 per hour

Double time = 2*6.86 = $13.72 per hour

Rest of the time => At regular rate

Total Amount = 10(10.29) + 4(13.72) + (54 - 10 - 4)(6.86)

                       = 10(10.29) + 4(13.72) + (40)(6.86)

                       = $ 432.18

Answer:

so 10 hours was 1,5 time and 4 hours was 2 (double) time Her regular rate is $6,86/h so 10 h with 1,5 time make 10*1,5 = ? and 4 h with 2 time make 4*2 = ? total how much you get multiplie by 6,86 and will get in this way easy sure the correct answer.

Answer:

gradient = [tex]\frac{5}{4}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope (gradient) and c the y- intercept )

Given

4y - 5x = 2 ( add 5x to both sides )

4y = 5x + 2 ( divide the terms by 4 )

y = [tex]\frac{5}{4}[/tex] x + [tex]\frac{1}{2}[/tex] ← in slope- intercept form

with gradient m = [tex]\frac{5}{4}[/tex]

Answer:

y=x+6

tell me if its right

Answer:  y = x + 6

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

its 3 just trust me

Answer:

$16.25. You do 30% of $12.50 and then add it on that is pretty much it

Step-by-step explanation:

Answer:

2.29*20 = 45.80 and 3.49*35 = 122.15.

Step-by-step explanation:

Answer:

18 cm ;

2 cm

Step-by-step explanation:

Length of each adjacent side = 1 :3

If 1 side = 6 ; the possible values of the adjacent side ;

That is side 2 ÷

If side 1, which is 6cm is the ratio 1 ; then side 2 = 6cm * 3 = 18 cm

If side 1, which is 6cm is the ratio 3 ; then side 2 = 6cm / 3 = 2 cm

Hence, the two Possible values of the adjacent side = 18 cm or 2 cm

Answer:

Collinear points are points that lie on a line. Any two points are always collinear because you can always connect them with a straight line. Three or more points can be collinear, but they don't have to be. … Any two or three points are always coplanar

Step-by-step explanation:

Answer:

They could be on different lines or on no line, but in the same plane.

Step-by-step explanation:

Hope This Helps!!

(brainliest please, if possible)

Answer:

She did better on the Math test.

Step-by-step explanation:

14/17 is 82 percent, and 31/19 is only about 80%.

Answer:

-4 + x = - 8

x = - 8 +4

x = - 4

hope it helps :-

Answer:

-4=x or x=-4

Step-by-step explanation:

Move -4 to the other side by adding 4 on both sides:

-8+4=4-4+x

-4=x or x=-4

Hope this helps!