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2 years ago

What is the slope of 2x-4y=5

Mathematics

2 answers:

Luba_88 [7]2 years ago

4 0

Answer:

1/2 or .5

Step-by-step explanation:

Hey There!

So the first step of this problem is to get y on one side and everything else on the other side

to do so we use inverse operations

so to get rid of the 2x we subtract 2x from each side

we would end up with -4y=5-2x

now want to get rid of the -4 on the y

to do so we would divide each side by -4

we would end up with

$y=\frac{1}{2}x -\frac{4}{5}$

so we can conclude that the slope is 1/2 or .5

stich3 [128]2 years ago

3 0

The slope is 1/2x and the y intercept is -5/4

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Step-by-step explanation:

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2 years ago

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How do you to tell the difference between an ellipse, hyperbola, parabola, or circle if all are in standard form?

NeX [460]

Step-by-step explanation:

General form of a conic section is:

Ax² + Bxy + Cy² + Dx + Ey + F = 0

If B = 0:

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6 0

2 years ago

The points , (−15,1) and , (−7,r) lie on a line with slope 5/4. Find the missing coordinate r. Click image to enlarge

Nadya [2.5K]

The missing coordinate r is 11.

Solution:

Given points are (–15, 1) and (–7, r).

$x_{1}=-15, x_{2}=-7, y_{1}=1 \text { and } y_{2}=7$

Slope (m) = $\frac{5}{4}$

<u>To find the missing coordinate r:</u>

Slope formula:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Substitute the given values in the formula.

$$\frac{5}{4}=\frac{r-1}{-7-(-15)}$

$$\frac{5}{4}=\frac{r-1}{-7+15}$

$$\frac{5}{4}=\frac{r-1}{8}$

Do cross multiplication.

$8 \times 5=4(r-1)$

40 = 4r – 4

Add 4 on both side of the equation.

44 = 4r

Divide by 4 on both side of the equation.

11 = r

⇒ r = 11

Hence the missing coordinate r is 11.

6 0

3 years ago

If n = 2 + 6m and p = 2/n, what is the value of p when m = -1/2?

artcher [175]

Answer:

p = - 2

Step-by-step explanation:

Given

n = 2 + 6m ← substitute m = - $\frac{1}{2}$ into the expression

n = 2 + 6(- $\frac{1}{2}$ ) = 2 - 3 = - 1

Thus

p = $\frac{2}{n}$ = $\frac{2}{-1}$ = - 2

8 0

2 years ago

the height of a triangle is 9m less than its base. the area of the triangle is 56 m^2 find the length of the base (SHOW STEPS)

Veronika [31]

Hey there :)

We know the area formula of a triangle
$\frac{1}{2} (base)(height)$

We are given:
The area = 56 m²
The base = let p represent this
The height = 9 m less than the base = p - 9

Apply the formula
56 = $\frac{1}{2}$ × ( p ) × ( p - 9 )
56 = $\frac{1}{2}$ × ( p² - 9p )

Divide $\frac{1}{2}$ on both sides
56 ÷ $\frac{1}{2}$ = p² - 9p
112 = p² - 9p

Bring 112 to the other side and equate equation to 0
p² - 9p - 112

Factorise { Sum = -9 , Product = - 112 , therefore suitable factors = - 16 × 7 )
( p - 16 )( p + 7 ) = 0
↓ ↓
p = 16 p = - 7 ← Reject p = - 7 since length cannot be negative

So, the length of the base is 16 m

Check:
56 m² = $\frac{1}{2}$ × 16 × ( 16 - 9 )
56 m² = 8 × 7
56 m² = 56 m²

7 0

2 years ago