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3 years ago

9

Solve the system using the addition method. 6x - 2y = 3 2x + 3y = -5

1 answer:

katrin [286]3 years ago

8 0

8x + y = - 2
suppose to you want the y-intercept
y = -8x - 2

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A radio station advertises a contest with ten cash prizes totaling $5510. There is to be a $100 difference between each successi

gavmur [86]

5510 = x + (x + 100) + (x + 200) + (x + 300) + (x + 400) + (x + 500) + (x + 600) + (x +700) + (x + 800) + (x + 900) = 10x + 4500

=> 10x = 5510 - 4500 = 1010

=> x = 1010 / 10 = 101

=> least prize = 101 and greatest prize = 101+ 900 = 1001.<----- answer

4 0

3 years ago

What is the answer to this

Scilla [17]

420, 210, 140, 105, 84, 70, 60, 42, 35, 30, 28, 21, 20, 15, 14, 12, 10, 7, 6, 5, 4, 3, 2, 1

8 0

3 years ago

From the equation y=3.5x identify the constant of proportionality

Ilya [14]

Answer:

3.5

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

10 points, doing this one again because I got a wrong answer last time but regardless thank you for trying to help

Alik [6]

Hey ! there

Answer:

Value of missing side i.e. TE is <u>1</u><u>2</u><u> </u><u>feet</u>

Step-by-step explanation:

In this question we are provided with a <u>right</u><u> </u><u>angle </u><u>triangle</u> having <u>TS </u><u>-</u><u> </u><u>35</u><u> </u><u>ft </u><u>and</u><u> </u><u>SE </u><u>-</u><u> </u><u>37</u><u> </u><u>ft </u>. And we are asked to find the missing side that is <u>TE </u>using Pythagorean Theorem .

<u>Pythagorean Theorem :</u> -

According to Pythagorean Theorem sum of squares of perpendicular and base is equal to square of hypotenuse in a right angle triangle i.e.

H² = P² + B²

<u>Where </u><u>,</u>

H refers to <u>Hypotenuse</u>

P refers to <u>Perpendicular</u>

B refers to <u>Base</u>

<u>Solution</u><u> </u><u>:</u><u> </u><u>-</u>

In the given triangle ,

Base = <u>TE </u>

Perpendicular = <u>TS </u><u>(</u><u> </u><u>35</u><u> </u><u>feet </u><u>)</u>

Hypotenuse = <u>SE </u><u>(</u><u> </u><u>37</u><u> </u><u>feet </u><u>)</u>

Now applying Pythagorean Theorem :

$\quad \longmapsto \qquad \:SE {}^{2} = TS {}^{2} + TE {}^{2}$

Substituting values :

$\quad \longmapsto \qquad \:37 {}^{2} = 35 {}^{2} + TE {}^{2}$

Simplifying it ,

$\quad \longmapsto \qquad \:1369 = 1225 + TE {}^{2}$

Subtracting 1225 on both sides :

$\quad \longmapsto \qquad \:1369 - 1225 = \cancel{1225} + TE {}^{2} - \cancel{1225}$

We get ,

$\quad \longmapsto \qquad \:144 = TE {}^{2}$

Applying square root to both sides :

$\quad \longmapsto \qquad \ \sqrt{ 144} = \sqrt{TE {}^{2}}$

We get ,

$\quad \longmapsto \qquad \: \red{\underline{\boxed{\frak{TE = 12 \: feet}}}} \quad \bigstar$

<u>Henceforth</u><u> </u><u>,</u><u> </u><u>value </u><u>of </u><u>missing </u><u>side </u><u>is </u><em><u>1</u></em><em><u>2</u></em><em><u> </u></em><em><u>feet </u></em><em><u>.</u></em>

<u>Verifying</u><u> </u><u>:</u><u> </u><u>-</u>

Now we are verifying our answer using Pythagorean Theorem . We know that according to Pythagorean Theorem ,

SE² = TS² + TE²

Substituting value of SE , TS and TE :

37² = 35² + <u>1</u><u>2</u><u>²</u>

1369 = 1225 + 144

1369 = 1369

L.H.S = R.H.S

Hence , Verified .

<u>Therefore</u><u> </u><u>,</u><u> </u><u>our</u><u> answer</u><u> is</u><u> correct</u><u> </u><u>.</u>

<h2><u>#</u><u>K</u><u>e</u><u>e</u><u>p</u><u> </u><u>Learning</u></h2>

6 0

2 years ago

Read 2 more answers

If 1/2 gallon of paints cover 1/4 of a wall,then how much paint is needed to cover the entire wall?

Degger [83]

Answer:

2 Gallons are needed to cover entire wall

6 0

3 years ago