All categories

3 years ago

Find the slope of the line 7x+4y=10

Mathematics

1 answer:

Fittoniya [83]3 years ago

3 0

Answer:

The slope is -7/4

Step-by-step explanation:

∵ 7x + 4y = 10

∵ y = mx + c ⇒ where m is the slope of the line

∴ Re-arrange the equation

∴ 4y = 10 - 7x ⇒ ÷4

∴ y = 10/4 - (7/4) x

∴ y = 5/2 - (7/4) x

∴ The slope is -7/4

You might be interested in

The lines below are parallel. If the slope of the green line is -3, what is the

julia-pushkina [17]

Answer:-3

Step-by-step explanation:

The expression is already in decimal form.

−3 slope

8 0

2 years ago

Logan made a treasure hunt map. The treasure is 25 cm away from his location. If each 1 cm on the scale drawing equals 5 meters,

Ray Of Light [21]

25x5=125

answer is 125 meters

hope this helps

3 0

3 years ago

The Chromebook has 25% battery at the beginning of getting

d1i1m1o1n [39]

Answer:

Chromebook: 0.25 percent per minute

iPhone: 0.5 percent per minute

1) The phone

2) Faster by 0.25 percent per minute, or 1 percent every four minutes

3) The phone

4) 25 percent more

5) The phone

6 0

3 years ago

A rectangle is inscribed in a right isosceles triangle, such that two of its vertices lie on the hypotenuse, and two other on th

Rufina [12.5K]

Answer:

Part 1) The base is $25\ in$ and the height is $10\ in$

Part 2) The base is $7.5\ in$ and the height is $18.75\ in$

Step-by-step explanation:

case 1) Right isosceles triangle of the left

Let

x------> the base of the rectangle

y----> the height of the rectangle

Remember that

In a right isosceles triangle the lengths of the legs of the triangle is the same

$y+x+y=45$

$2y+x=45$ ----> equation A

$\frac{x}{y} =\frac{5}{2}$

$x=2.5y$ -----> equation B

substitute equation B in the equation A

$2y+2.5y=45$

$4.5y=45$

$y=10\ in$

Find the value of x

$x=2.5(10)=25\ in$

case 2) Right isosceles triangle of the right

Let

x------> the base of the rectangle

y----> the height of the rectangle

Remember that

In a right isosceles triangle the lengths of the legs of the triangle is the same

$y+x+y=45$

$2y+x=45$ ----> equation A

$\frac{y}{x} =\frac{5}{2}$

$y=2.5x$ -----> equation B

substitute equation B in the equation A

$2(2.5x)+x=45$

$6x=45$

$x=7.5\ in$

Find the value of y

$y=2.5(7.5)=18.75\ in$

3 0

3 years ago

The graph is of a polynomial function f(x) of degree 5 whose leading coefficient is 1. The graph is not drawn to scale. Use the

LUCKY_DIMON [66]

roots of a polynomial are (x-c1)(x-c2)(x-c3) .......(x-cn). Basically, plug every root you have into a (x-__) and then multiply them all together. Just be careful of signs. If your root is positive, it is written as (x-__). If your root is negative, it is written (x+__)

I got x^5-5x^4+5x^3+5x^2-6x

Hope this helps

7 0

3 years ago