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Veseljchak [2.6K]
3 years ago
11

What is the slope, y-intercept and x-intercept of 2x + 4y = 8

Mathematics
1 answer:
QveST [7]3 years ago
3 0
2x+4(0)=8
2x=8
x intercept; (4,0)
2(0)+4y=8
4y=8
y intercept; (0,2)
2x+4y=8
4y=-2x+8
4y/4=-2/4+8/4
y=-1/2x+2
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Help please! I need answers quickly :((
Rzqust [24]

Answer:

y = - \frac{1}{2} 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 = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (4, 0) ← 2 points on the line

m = \frac{0-2}{4-0} = \frac{-2}{4} = - \frac{1}{2}

The line crosses the y- axis at (0, 2) ⇒ c = 2

y = - \frac{1}{2} x + 2 ← equation of line

5 0
3 years ago
Read 2 more answers
Geometry help acute obtuse or right will give brainliest
ira [324]
If I'm reading this right, than all 9 angles are acute?
7 0
2 years ago
Tonya and Leo each bought a cell phone at the same time. The trade-in values, in dollars, of the cell phones are modeled by the
Paha777 [63]

Answer:

The answer is Tonya's phone had the greater initial trade-in value.

Leo's phone decreases at an average rate slower than the trade in value of Tonya's phone.

Step-by-step explanation:

Given

Tonya

f(x) = 490 * 0.88^x

Leo

x \to g(x)

0 \to 480

2 \to 360

4 \to 470

Solving (a): The phone with greater initial value

The initial value is when x = 0. So, we have:

f(x) = 490 * 0.88^x

f(0) = 490 * 0.88^0

f(0) = 490 * 1

f(0) = 490

From Leo's table

g(0) = 480

By comparison;

f(0) > g(0)

i.e.

490 > 480

<em>So: Tonya's had the greater initial trade-in value</em>

Solving (b): The phone with lesser rate

An exponential function is:

y = ab^x

Where:

b \to rate

For Tonya

b = 0.88

For Leo, we have:

(x_1,y_1) = (0,480)

(x_2,y_2) = (2,360)

So, the equation becomes:

y = ab^x

480 = ab^0 and 360 = ab^2

Solving 480 = ab^0, we have:

480 = a * 1

480 = a

a= 480

360 = ab^2 becomes

360 = 480 * b^2

Divide both sides by 480

0.75 = b^2

Take square roots

0.87 = b

b=0.87 -- Leo's rate

By comparison; Leo's rate is slower i.e. 0.87 < 0.88

6 0
2 years ago
Solve by the substitution method<br> 6x+5y =-26<br> -9x+y= 56
lozanna [386]

Answer:

I think its well point form is  (- 31/6, 19/2)

and equation form is x= - 31/6, y= 19/2

Step-by-step explanation:

Hope it helps!!!

4 0
3 years ago
Which statement is true about the product of 5/12 x 7?
nataly862011 [7]

Answer:

B

Step-by-step explanation:

because the denominator of fraction, 5/12 ,is greater than both the numerator and the multiplier which is 7

6 0
3 years ago
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