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2 years ago

Find the equation of the line that satisfies the given conditions the y intercept is 3 and the x intercept is -1

1 answer:

7 0

The y intercept is when x=0, the x intercept is when y=0
so you two points are: (0, 3) and (-1, 0)
the slope is: m=(0-3)/(-1-0)=3, you y intercept(b) is 3
y=mx+b=> y=3x+3

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Which expression is equivalent to Negative 28 x y 35 y? 7 y (Negative 4 x y 5 y) 7 x (negative 4 x 5 y) 7 x (negative 4 y 5 y) 7

GREYUIT [131]

You can use the distributive property of multiplication over addition to find the equivalent expression to the given expression.

The expression which is equivalent to the given expression is given by

Option D: $7y(-4x + 5)$

<h3>What are equivalent expressions?</h3>

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.

<h3>What is distributive property of multiplication over addition?</h3>

Suppose a, b and c are three numbers. Then we have:

$a(b + c) = a \times b + a \times c$

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

<h3>Using the above property and the fact that 28 and 35 are multiples of 7 to get the equivalent expression</h3>

The given expression is $-28xy + 35y$

Since 28 = 7 times 4 and 35 = 7 times 5

Thus,

$-28xy + 35y = -7 \times 4 \times x \times y + 7 \times 5 \times y = 7y(-4x + 5)$

Thus,

The expression which is equivalent to the given expression is given by

Option D: $7y(-4x + 5)$

Learn more about equivalent expressions here:
brainly.com/question/10628562

3 0

2 years ago

What is the slope of the line represented by the equation 10x - y = 2?

matrenka [14]

Answer:

D. 10

Step-by-step explanation:

To find the slope of the equation, we first need to put the equation into slope-intercept form:

y=mx+b

So first, we need to get y by itself.

10x-y=2

Subtract 10x from both sides.

-y=-10x+2

Then, divide -1 on both sides.

y=10x-2

Slope=10

8 0

2 years ago

Read 2 more answers

FIND THE AREA OF THE SHADED REGION. SHOW ALL YOUR WORK.

erik [133]

Answer:

he area that is un-shaded is (x-3)(x-6).

The entire area is (2x+2)(3x-4).

Area of the shaded region is:

(2x+2)(3x-4) - (x-3)(x-6) =

(6x2-2x-8) - (x2-9x+18) =

6x2-2x-8-x2+9x-18 =

5x2+7x-26 hopes this help btw (;

3 0

2 years ago

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Im kinda confused on this. i need help.

RideAnS [48]

Given :-

A graph is given to us .

To Find :-

The equation in slope intercept form .

Answer :-

From the given graph , we can see that the line passes through y axis at (0,5) . So the y intercept is 5 . And the slope of the line is 5/2 = 2.5 . So ,

$\sf\longrightarrow$ y intercept = 5 .

$\sf\longrightarrow$ slope = 5/2 .

Now here we can use the slope intercept form as ,

$\sf\longrightarrow$ y = mx + c

$\sf\longrightarrow$ y = 5/2x + 5

Hence the required answer is y = 5/2x + 5.

4 0

1 year ago

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To find the product of 42.12 and 10³, move the decimal point in 42.12 __ places to the right because 10³ has __ zeros.

Yakvenalex [24]

<h3>To find the product of 42.12 and 10^3, move the decimal point in 42.12 3 places to the right because 10^3 has 3 zeros</h3>

Solution:

Given that,

$\text{ product of } 42.12 \text{ and } 10^3$

Which means,

$42.12 \times 10^3$

Here, the exponent of 10 is positive ( which is 3)

When the exponent is positive, we have to move the decimal point to right

When you multiply a number by a power of 10, ( 10!, 10^2, and so on ) move the decimal point of the number to the right the same number of places as the number of zeros in the power of 10

Here, exponent is 3 , therefore move the decimal point right 3 places in 42.12

Therefore,

$42.12 \times 10^3 = 42120$

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2 years ago