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4 years ago

If the point (1,4) is on the graph of an equation, which statement must be true

Mathematics

2 answers:

Len [333]4 years ago

8 0

Answer:

the values x=1 and y=4 make the equation true

Step-by-step explanation:

Charra [1.4K]4 years ago

7 0

Answer:

Option 3 is correct.i.e., the values x = 1 and y = 4 make the equation true.

Step-by-step explanation:

Given: Point ( 1, 4 ) is on the graph of an equation.

Points of the form ( x, y ) are points of equation a line.

These points are the solution of equation of line.

Line is made up of infinitely many points.

⇒ there are infinitely many solution of equation of a line.

So, x = 1 and y = 4 is solution of equation of line and these values makes the equation true.

Therefore, Option 3 is correct.i.e., the values x = 1 and y = 4 make the equation true.

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Are the graphs of −5y=2x+3 and y=25x+4 parallel, perpendicular, or neither?

saw5 [17]

Parallel graphs have the same slope. perpendicular has opposite reciprocal slopes. These equations have slopes of -2/5 and 25 so they are neither.

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4 years ago

A line passes through the point (2,3) and has a slope of -2. Which is the equation of the line in point-slope form?

almond37 [142]

Answer:

7-2x=y

Step-by-step explanation:

When a point passes through a line it satisfies its equation

(X-x0 )m= y-y0

Slope = m = -2

(X-2 )(-2)=y-3

4-2x=y-3

7-2x=y

7 0

3 years ago

Marcos purchased a sail boat for $56,900. He anticipates each year the boat will decrease in value by 8.1% from the previous yea

Varvara68 [4.7K]

Answer: $56,900\left( 0.919\right)^x$

Step-by-step explanation:

Given

Marcos purchased a sailboat for $\$56,900$

Each year the boat will decrease in value by $8.1\%$

After 1 year it is

$\Rightarrow 56,900-56,900\times 0.081\\\Rightarrow 56,900\left( 1-0.081\right)\\$

after another year it becomes

$\Rightarrow 56,900\left( 1-0.081\right)-56,900\left( 1-0.081\right)\times 0.081\\\Rightarrow 56,900\left( 1-0.081\right)\cdot \left( 1-0.081\right)\\\Rightarrow 56,900\left( 1-0.081\right)^2$

After $x$ years it is

$\Rightarrow 56,900\left( 1-0.081\right)^x$

$\Rightarrow 56,900\left( 0.919\right)^x$

5 0

3 years ago

Mica is making a paste for an art project. He mixes 8 cups of water with glue. If he wants to make a double batch how many quart

dusya [7]

He needs one more quart. That is half of a gallon.

8 0

2 years ago

Which shows the correct substitution of the values a b and c from the equation -2 equals negative X Plus x squared minus 4 into

kondor19780726 [428]

-2=-x+x square-4
firstly regroup the equation
x square-2x+x-2=0
x square-x-2=0
multiply the first term by the last term.(I.e x square multiply by -2=-2x square)
product of factor = -2x 1
sum of factor= -2x+1(x)= -1
x square -2x+x-2=0
open the bracket:
x(x-2)+1(x-2)=0
x=1 or x=-2
Therefore; x=-1 or x=2

5 0

4 years ago