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2 years ago

Find the solution in slope-intercept form y+7=-3(x-1) and 3x+y=-4

Mathematics

1 answer:

Svetach [21]2 years ago

6 0

Answer:

The slope intercept form of both given equations is : y = - 3 x - 4.

Step-by-step explanation:

Here, the given equations are:

y +7 = -3 ( x - 1 )

and 3 x + y = - 4

Now,the SLOPE INTERCEPT FORM of any given equation is given as:

y = m x + C : here, C = Y - intercept, m = Slope

Consider equation (1):

y +7 = -3 ( x - 1 ) ⇒ y + 8 = - 3 x + 3

or, y = -3x + 3 - 7 = -3x - 4

⇒ y = -3x -4

Hence, the slope-intercept form of the given equation is y = -3x -4.

Consider equation (2):

3 x + y = - 4 ⇒ y = -4 - 3 x

⇒ y = -3 x - 4

Hence, the slope-intercept form of the given equation is y = -3x -4.

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Answer choices are 14 24 28 48

MrRa [10]

Answer: 24 square units

Step-by-step explanation:

It appears the shaded area of the rectangle is half of the rectangle's area. This means if we find the area of the rectangle and divide it by 2 we will know the area of the shaded portion.

The formula for the area of a rectangle is $lw=A$

Where

l is the length (8 for this)

w is the width (6 for this)

A is the area

However, since we are finding half the area we will divide lw by 2

Sub the values into the formula

$\frac{lw}{2} =A\\\frac{(8)(6)}{2} =A\\\frac{48}{2} =A\\24=A$

4 0

2 years ago

Parallelogram ABCD has vertex coordinates a(0,2) b (6,2) c (8,6 and d (2,6) write a rule to find the vertex coordinates of a par

Anastasy [175]

Answer: The rule is explained.

Step-by-step explanation: As shown in the attached figure, ABCD is a parallelogram with vertices A(0,2), B(6,2), C(8,6) and D(2,6).

Suppose, we are to find the vertices of a parallelogram PQRS that is smaller than but similar to ABCD, then we can follow the following rule.

Let us consider a positive real number k. Then the new coordinates of smaller and similar parallelogram PQRS will be

Co-ordinates of P will be (k,2+k),

Co-ordinates of Q will be (6-k,2+k),

Co-ordinates of R will be (8-k,6-k)

and

co-ordinates of S will be (2+k,6-k).

Taking any positive real value of k, we will get a new, smaller parallelogram which will be similar to ABCD.

8 0

3 years ago

What is the value of the expression? 43 • 4−5 a. 4−15 b. 4−2 c. 42 d. 48

steposvetlana [31]

We need to follow PEMDAS

So

$43 \times 4 = 172$

$172 - 5 =$ 167

So... none of your answer choices are correct.

7 0

2 years ago

Read 2 more answers

Is -2.9 a rational or integer or whole or natural number

Burka [1]

Answer:

Step-by-step explanation:

It might help to get artsy/crafty with this. I made it out of construction paper, but I'm going to tell you how to draw it.

Draw a large circle, over have the page. Every number, ever, even the numbers in the smaller circles, go into this circle, fractions, decimals, negatives, zero, whole numbers, every number. Negative infinity to positive infinity and everything in between. These are rational numbers.

Now draw a smaller circle inside that one. In the smaller circle there are positive and negative numbers, but no fractions. Every number in this circle is also in the larger circle, but not every number in the bigger circle in in this smaller one. Negative infinity to positive infinity, no fractions. These are integers.

Draw a smaller circle inside the smaller one. No negative numbers in this one, only positive numbers and zero. 0 to infinity, no fractions. These are whole numbers.

One more circle inside the smallest one. Only positive whole numbers in here. No zero. 1 to infinity, no fractions. These are natural numbers.

-2.9 is negative and decimal, so not a natural, not a whole, not an integer. That leaves rational.

7 0

2 years ago

I really need the answer to this plzzzzzz

Travka [436]

Answer:

it may be c but im not usre

Step-by-step explanation:

5 0

2 years ago