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2 years ago

(Will Give Brainliest) What is the slope of the line? −4x + 7 = 2y − 3

Mathematics

2 answers:

AfilCa [17]2 years ago

7 0

D. -2

I’m adding this bc it has to be 20 characters sry

alina1380 [7]2 years ago

5 0

Answer: -2

Step-by-step explanation: you add the slop and then you subtract

You might be interested in

tankabanditka [31]

Answer:

If we assume that the bottle is cylindrical and we take the same radius (3.26) of both the bottles (bottles only differ in heights) then the larger bottle will hold approximately 701.14 ml of fluid (the answer says 700ml which is very close)

Step-by-step explanation:

Step 1: Formula of volume of a cylinder is pi*r^2*h

where value of pi is 3.14

r is the radius

h is the height of the bottle (height is different for both bottles)

After putting the values and estimated radius for both as 3.26, we get the volume of the taller bottle.

You can extract the radius by following this method:

Volume of a cylinder = pi*r^2*h (now put the value of the known volume and height of the smaller cylinder)

500 = 3.14 * (r)^2 *15

500/(3.14*15) = r^2

10.616 = r^2

Taking sqrt. on both sides

We get r = 3.26

Now put the same value in the formula of volume with the radius and height. You will get the answer for second bottle.

V= 3.14 * (3.26)^2 *21

V= 701.14 (approx)

5 0

2 years ago

Read 2 more answers

The students at Woodward Elementary voted for a school mascot. The falcon won with 58 of the votes and the eagle came second wit

Anuta_ua [19.1K]

Answer:

67 students voted for the eagle

Step-by-step explanation:

The students at Woodward Elementary voted for a school mascot. The falcon won with 5/8 of the votes and the eagle came second with 1/3 of the remaining votes. If 536 students voted for a mascot, how many students voted for the eagle

Total students who voted = 536

Falcon won with 5/8 of the votes

5/8 of 536

=5/8 × 536

= 2,680/8

= 335 votes

Falcons won with 335 votes

Remaining votes = Total votes - falcons votes

= 536 - 335

= 201 votes

There are 201 votes remaining

Eagle came second with 1/3 of the remaining votes

1/3 of the remaining votes

= 1/3 × 201

= 201/3

= 67 votes

67 students voted for the eagle

5 0

2 years ago

Messi kicks a soccer ball from a position that is 3 meters from a sideline and 4 meters from a goal

Katarina [22]

Answer:

$( 4.8 ,7.6)$

Step-by-step explanation:

We want to find the point, B(x,y) that divides the directed line segment from Messi, M(3,4) to S(6,10) in the ratio m:n=3:2

We use the section formula:

$( \frac{mx_2+nx_1}{m + n} ,\frac{my_2+ny_1}{m + n})$

We substitute the coordinates and the ratio into the section formula to get:

$( \frac{3 \times 6+2 \times 3}{3 + 2} ,\frac{3 \times 10+2 \times 4}{3+ 2})$

We simplify to get:

$( \frac{18+6}{5} ,\frac{30+8}{5})$

This gives us:

$( \frac{24}{5} ,\frac{38}{5})$

$( 4.8 ,7.6)$

6 0

2 years ago

Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = 4x2 + 24x + 30?

AVprozaik [17]

The graph is shifted left 3 units.

We know that the graph of f(x) is NOT widened, because for a number c greater than 1, cf(x) stretches the graph vertically, not horizontally.

We know that the graph of f(x) is NOT shifted up 30 units. It is tempting to say this because we do see +30 as the last term. But, we have to calculate the vertex of g(x). If we find the point $P( \frac{-b}{2a}, g(\frac{-b}{2a}))$ , that is, by taking doing $\frac{-24}{2*4} = -3$ , $g(-3)=-6$ , we see that the vertex is six units down from f(x), not 30 units up!

We know that the graph of f(x) is NOT reflected over the x-axis, because there would need to a negative coefficient on the $x^2$ -term, and there isn't.

We know that the graph of f(x) IS shifted 3 units to the left. When we calculated the vertex earlier, we saw that it is $(-3,6)$ , which indeed corresponds to a shift 3 units to the left from the origin.