Write the equation of the line that passes through the points:
(-4,-4) and (8,-7)

[tex]\displaystyle\bf 4x^2+3=-7x\\\\4x^2+7x+3=0 \\D=49-48=1 \\\\x_{1;2}=\frac{-7\pm1}{8} => x_1=-1\quad ; \quad x_2=-\frac{3}{4} \\\\\\Answer:\boxed{x_1=-1\quad ; \quad x_2=-\frac{3}{4} }[/tex]

Answer:

Each student gets 0.3 liters or 300 milliliters of orange juice.

Step-by-step explanation:

3 liters = 3000 milliliters

3L/10 or 3000ml/10 = 0.3 L or 300 ml

Answer:

1.5 hours

Step-by-step explanation:

Total watering hours

4 * 3 = 12

time needed for 8 pipes

12/8 = 1.5 hours

Here is all of my work from answering the question. I’ll put pictures too, my handwriting is pretty good so it should be easy to see. ;)

Part A-

1) 4x-3 = -2x+9

2) 4x+2x -3 = -2x+2x + 9

3) 6x -3 = 9

4) 6x -3+3 = 9+3

5) 6x = 12

6) 6x/6 = 12/6

7) x = 2

Part B-

1) y=4x-3

2) y=4(2)-3

3) y=8-3

4) y= 5

Therefore, x = 2 and y = 5.

I used substitution in Part B. 4x and x = 2.

I really hope this is right and helps, good luck! ;)

Answer:

since the square indicates the angle is a right angle ( 90 ° )

then x = 90 - 32

x = 58 °

Mikes pet shop: add the ratio: 7+ 3 = 10

Divide total animals by the sum:

300/10 = 30

The ratio of cats is 7

Total cats = 30 x 7 =210

Do the same for Pets R Us:

Ratio: 6 + 4 = 10

150/10 = 15

Cats = 15 x 6 = 90

Total cats = 210 + 90 =300

Total animals = 300 + 150 = 450

Fraction that are cats = 300/450 = 2/3

2/3 of the animals are cats

Answer:

Step-by-step explanation:

Arc BAD is intercepted by inscribed angle BCD which measures 110. The rule is that an intercepted arc is twice the measure of the angle that intercepts it. Therefore, arc BAD is 110(2) which is 220.

Answer:

[tex](9\pi - 18)cm^2[/tex]

Step-by-step explanation:

To find the area of this section of the triangle, we will have to find the area of the sector, and then subtract the area of the triangle. To first find the area of the sector of the circle. Remember that the sector of a circle can be found using a proportion of angles. Since there is an angle of 90 degrees in the center. We will take that and divide it by 360 degrees, which is an entire circle. [tex]\frac{90}{360} = \frac{1}{4}[/tex], so the sector is one-quarter of the entire circle. Now find the area of the entire circle which will be [tex]\pi r^{2}[/tex]× [tex]\frac{1}{4}[/tex], where r is 6 since it is the radius of the circle. So therefore the area of the sectore will be a quarter of 36[tex]\pi[/tex], which is 9[tex]\pi[/tex].

Now you must find the area of the triangle with side length 6. Remember, this is an isosceles triangle with sides length of 6 because two of the sides are radii. Also, remember that this is a 90 degree triangle, so the area of the triangle is simply [tex]\frac{6*6}{2}[/tex], which is 18 cm^2.

Now to find the area of just the yellow segment, just take the area of the sector we found, and subtract the area of the triangle. Therefore, the answer is [tex](9\pi - 18)cm^2[/tex]

Hope this helped.

Answer:

Step-by-step explanation:

Angle b and the one that measures 76 are vertical angles. That means that they also have the same exact angle values. Therefore, b = 76 degrees

Answer:

Your answer is y=3/5x +1  

Step-by-step explanation:

Just do rise over run you go up 3 across 5

Answer:

Surface area of four outer sides = 1,320 inch²

Step-by-step explanation:

Given:

Height of trap = 30 inches

Length of trap = 12 inches

Width of trap = 10 inches

Find:

Surface area of four outer sides

Computation:

Lateral Surface area of cuboid = 2h[l + b]

Surface area of four outer sides = Lateral Surface area of cuboid

Surface area of four outer sides = 2h[l + b]

Surface area of four outer sides = 2(30)[12 + 10]

Surface area of four outer sides = 2(30)[22]

Surface area of four outer sides = 1,320 inch²

Answer:

Step-by-step explanation:

x+y=94 degree(sum of two interior opposite angles is equal to the exterior angle formed)

 let third angle be y because the base of an isosceles triangle are always equal.

y+x+y=180 degree (sum of interior angles of a triangle)

y+94=180

y=180-94

y=86 degree

for angle x

substitute the value of x

x+y=94

x+86=94

x=8 degree

Answer:

(a). The bus decelerated to rest through 75 miles for 1.25 hours and accelerated through same distance for 1.25 hours.

b.

[tex]s _{1} = \frac{d _{1} }{t _{1} } \\ = \frac{15}{1.5} \\ s _{1} = 10 \: miles \: per \: hour \\ \\ s _{2} = \frac{d _{2} }{t _{2}} = \frac{45}{2} \\ = 22.5 \: miles \: per \: hour \\ average = \frac{22.5 + 10}{2} \\ = 16.25 \: miles \: per \: hour[/tex]

a) The bus decelerated to rest through 75 miles for 1.25 hours and accelerated through same distance for 1.25 hours.

b)The average rate of change represent is 16.25 miles per hour.

a) The bus decelerated to rest through 75 miles for 1.25 hours and accelerated through same distance for 1.25 hours.

b)

s1 = d1/t1

15/1.5

s1 = 10 miles per hour

s2 = d2/t2

22.5 miles per hour

Average = 16.25 miles per hour.

To learn more about functions, refer

brainly.com/question/25638609

#SPJ2

Answer:

y is 8/5 when x = -4.

Step-by-step explanation:

If the value of "Y" varies directly with "X", we can write y = kx, where k is the constant of proportionality.

If "y=-8,when x=20," then we can find k:    -8 = 20k, or k = -2/5.

Then y = (-2/5)x.

If x = -4, then y = (-2/5)(-4) = 8/5

y is 8/5 when x = -4.

Answer:

2006

Step-by-step explanation:

1 + 2(1027) + 6 + 7 - 8 • 9 + 10

1 + 2054 + 6 + 7 - 72 + 10

2006

Answer:

B'(2,4) & C'(1,0)

Step-by-step explanation:

According To the Question,

Given, We have an ∆ABC that has coordinates A(3, 1), B(5, 5) and C(4, 1).

Now, After a translation, the coordinates of A' are (0,0) .

Then, the coordinate of B' & C' Also changes the same as like A' .

A(3,1) ⇒ A'(0,0)      {here from x-axis it reduce 3 and from y-axis it reduce 1}

Same as Above,

B(5,5) ⇒ B'(2,4)

&, C(4,1) ⇒ C'(1,0) .

Answer:

6y^3 + 17y^2 +22y + 15

Step-by-step explanation:

Multiply each term in the first expression by each term in the second expression and combine like terms.

Answer:

[tex]A=P (1 + \frac{r}n)} ^{nt}[/tex]

A = 500(1 + .028/1)^ (3*1)

$543.19

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

in fact if we look at the graph we can see that sausages are 7.5 % and mushrooms 5%, while in the table this datas are inverted.

==========================================================

Explanation:

Imagine that we're able to move the xy grid freely but keep the f(x) curve fixed in place. Now imagine that we move the xy grid 3 units to the left. This would give the illusion the f(x) curve moves 3 units to the right.

If we replace each input x with x-3, then that will effectively move the xy grid 3 units to the left. So that's why f(x-3) is a translation of 3 units to the right.

The negative out front will reflect the curve over the x axis. Points of the form (x,y) become (x,-y). For example, if (1,2) is on the curve then (1,-2) is on the reflected curve.

Putting this all together and it leads us to -f(x-3) which is choice D.

Answer:

2

Step-by-step explanation:

Assuming that you mean x is t, then the answer is 2.

You plug in 15 for y, and you have this: 15t=30

Divided both sides by 15, and you get t = 2

Answer: $5

Step-by-step explanation:

For every $3 raised by basketball players, football players would raise $2.50.

If basketball players raised $6 therefore, we can use direct proportion to find out what football players raised:

3      :        2.50

6      :           x

Cross multiply:

3x = 15

x = 15 / 3

x = 5

Football players raised $5.

Answer:

17 cm

Step-by-step explanation:

To find the perimeter of any figure, you must add all the side lengths. In a triangle, there are three side lengths to add, and in this case, they are 3 cm, 6 cm, and 8 cm long. So:

3 + 6 + 8 = 17 cm

∴, the triangle's perimeter is 17 cm.

Answer:

The perimeter is 17 cm

Step-by-step explanation:

The equation of perimeter is: a+b+c

The variables are the sides.

Using this equation, we can tell that:

p=3+8+6

Solve!

p=17

Don't forget to use units of measurement.

Happy learning!

--Applepi101

geckos sundry cheri suffering augusto

Answer;

B3 = 72°

C3 = 84°

Solution

B3: x = 180° - 55° - [ 180° - 127° ] = 127°- 55° = 72°

C3: x = 180° - 133°+ [ 180°-143° ] = 47°+37°= 84°

feedback

hope it helps you. thank you.

Answer:

200

Step-by-step explanation:

6.6/3.3 = 2

10^-2 / 10^-4 = 10^2

10^2 = 100

2 x 100 = 200

hb=10in

b Base

7

in

A Area

35

in²

Using the formula

A=hbb

2

Solving forhb

hb=2A

b=2·35

7=10in

Answer:

Step-by-step explanation:

-10 g