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3 years ago

8

1. Points A and B are to be mapped onto a number line according to two equations. The solution to the equation is the coordinate

of point A. The solution to the equation is the coordinate of point B.
(a) Solve the first equation to find the coordinate of point A. need help quick

2 answers:

BaLLatris [955]3 years ago

8 0

The number line dont come with the assighnment right?

Alenkinab [10]3 years ago

4 0

I still need that number line.....

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Solve the system by graphing. Write the solution as an ordered pair. y = 1/3x + 2 y = –x – 2

Dima020 [189]

ANSWER

The solution is where the two graphs intersect, which is
$(-3,1).$

EXPLANATION

The given system of equations are
$y = \frac{1}{3} x + 2$
and

$y = - x - 2$

We need to graph the two equations.

Let us graph

$y = \frac{1}{3} x + 2$
first.

We need at least two points.

You can choose any appropriate value for x and solve for y. Choosing zero makes our working easier. So let us plot the intercepts.

When
$x = 0$

$\Rightarrow \: y = \frac{1}{3} (0) + 2$

$\Rightarrow y = 0 + 2$

$\Rightarrow y = 2$

So this gives us the ordered pair,

$(0,2)$

When
$y = 0$
we get,

$0= \frac{1}{3} x + 2$

$\Rightarrow \: - 2 = \frac{1}{3} x$

$\Rightarrow \: - 2 \times 3= x$

$\Rightarrow \: -6= x$
This also gives the ordered pair

$(-6,0).$

We plot these two points and draw a straight line through them to obtain the blue graph in the attachment.

For the second line

$y = - x - 2$

We again find the intercepts and plot them.

When
$x = 0$

$y = - 0 - 2$

$\Rightarrow \: y = - 2$

This gives the ordered pair

$(0,-2)$

Also, when
$y = 0$

then we have,

$0 = - x - 2$

$2 = - x$

$x = - 2$

Then we again have the ordered pair,

$(-2,0)$

We plot these two points on the same graph sheet to obtain the red graph above.

The intersection of the two lines is
$(-3,1)$

You will get good grades so don't worry much.

4 0

3 years ago

In OPQ, the measure of Q=90°, the measure of O=48°, and QO = 4.9 feet. Find

vovangra [49]

Answer:

5.4 feet

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

In which situation do the quantities combine to make zero

Kaylis [27]

Answer:

an integer plus its opposite sum zero. The opposite of a number is called the additive inverse because the two numbers' sum is zero.

5 0

3 years ago

PLEASE HELP GEOMETRY Use the word bank to help you with possible answers (there are extra options that are not to be used)

Mekhanik [1.2K]

Short Answers:

Answer for part A: Given
Answer for part B: Angle A = Angle D (not sure why this isn't in word bank?)
Answer for part C: ASA
Answer for part D: BC = EF
Answer for part E: CPCTC

-------------------------------------------------------------

Explanations:

Part A:

AB = DE is given at the very top of the problem. So we simply say "given". We always repeat what we are given at the very start of the proof. You can see this for lines 1 through 3, which are repeating the three givens.

---------------------

Part B:

The three givens are:
AB = DE
angle A = angle D
angle B = angle E
the first and last of this trio is used (for statements 1 and 3 respectively). So the only thing left is "angle A = angle D"

---------------------

Part C:

We're using ASA (angle side angle) because we're given two pairs of congruent angles. The side for each triangle is between the two angles. See the attached diagram for more info.

---------------------

Part D:

For any proof, you will ALWAYS have the last statement be the thing you want to prove. In this case, we want to prove BC = EF.

---------------------

Part E:

CPCTC stands for "Corresponding Parts of Congruent Triangles are Congruent"

If the two whole triangles are congruent, then the smaller corresponding parts that make up the triangles must be congruent as well.

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4 years ago

Which expression is equivalent to 5-8

MAXImum [283]

It’s equivalent to 10/16 and 40/64

3 0

3 years ago