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3 years ago

How would you solve this problem? (Worth 10 points, pls help!)

Mathematics

1 answer:

mrs_skeptik [129]3 years ago

5 0

Answer:

(22,0)

Step-by-step explanation:

1. Select any two points given and find their slope (rise/run)

(-38, 40) and (-23, 30)

slope = $\frac{40-30}{-38-(-23)}$ = - 2/3

2. Use the slope and one of the points to create an equation of the line in the format y = mx + b, where m = slope and b = y-intercept.

y = mx + b ⇒ 40 = -2/3 (-38) + b

3. Solve for b

40 = -2/3 (-38) + b

40 = 76/3 + b

40 - 76/3 = b

b = 44/3

4. To find the x-intercept, set y = 0, and solve.

y = -2/3 x + 44/3

0 = -2/3 x + 44/3

2/3 x = 44/3

x = 22

Hope this helped!

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Write each product in standard form. (y+ 9)(y+ 9)

Alla [95]

Answer:

y² + 18y + 81

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Terms/Coefficients
Expand by FOIL (First Outside Inside Last)

Step-by-step explanation:

Step 1: Define

(y + 9)(y + 9)

Step 2: Expand

FOIL: y² + 9y + 9y + 81
Combine like terms: y² + 18y + 81

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3 years ago

Solve GHI. Round the answer to the nearest hundredth.

Sedaia [141]

Answer:

Part 1) $HI=15\ units$

Part 2)

Part 3) $< I=28.07\°$

The answer is the option A

Step-by-step explanation:

Part 1) Find the measure of side HI

Applying the Pythagoras Theorem

$GI^{2} =GH^{2}+HI^{2}$

substitute the values and solve for HI

$17^{2} =8^{2}+HI^{2}$

$HI^{2}=17^{2}-8^{2}$

$HI^{2}=225$

$HI=15\ units$

Part 2) Find the measure of angle G

In the right triangle GHI

$cos(G)=\frac{GH}{GI}$

substitute the values

$cos(G)=\frac{8}{17}$

$G=arccos(\frac{8}{17})=61.93\°$

Part 3) Find the measure of angle I

Remember that

The sum of the interior angles of a triangle must be equal to 180 degrees

substitute the values

$61.93\°+90\°+< I=180\°$

$< I=180\°-(61.93\°+90\°)=28.07\°$

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4 years ago

Which property is demonstrated 9 * 3 * 4 = 4 * 3 * 9

mr_godi [17]

The commutative property of multiplication.

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3 years ago

What is the common ratio for this sequence? Hurry!!!!!

valina [46]

A common ratio for that sequence is r = 5/1

6 0

3 years ago

Read 2 more answers

Help please!

bagirrra123 [75]

(d): y = mx+n

m = -2/3 ⇒ y = (-2/3)x +n

A(-4, 6) ∈ d ⇒ 6 = (-2/3)·(-4) +n ⇒ 6 = 8/3 +n ⇒

⇒ n = 6 - 8/3 ⇒ n = 10/3

Now, we have:

y = (-2/3)x +10/3

6 0

4 years ago