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3 years ago

15.

Mathematics

1 answer:

slamgirl [31]3 years ago

8 0

Answer:

Step-by-step explanation:

❌Option A is incorrect

Rationale: from the graph, 1 hr on the x-axis doesn't correspond to $100 on the y-axis

❌Option B is incorrect

Rationale: from the graph, 2 hrs on the x-axis doesn't correspond to $200 on the y-axis. It can't also be the unit rate because unit rate would be the amount of dollars per 1 hr.

✅Option C is CORRECT

Rationale: from the graph, 8 hrs on the x-axis corresponds to $500 on the y-axis

❌Option D is incorrect

Rationale: from the graph, 4 hr on the x-axis doesn't correspond to $300 on the y-axis

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What is the conjugate? √x + 2√b

Llana [10]

The correct answer is: " √x − 2√b " .
_________________________________________________________

The "conjugate" of " √x + 2√b " is: " √x − 2√b " .
_________________________________________________________

Explanation:
_________________________________________________________
In an expression with 2 (TWO) terms; that is, in a "binomial expression",
the "conjugate" of that expression refers to that very expression — with the "sign" in between those two terms—"reverse" (e.g. "minus" becomes "plus" ; or, "plus" becomes "minus" .) .
_________________________________________________________

→ So: We are given: " √x + 2√b " .

 → Note that this is a "binomial expression" ;

→ that is, there are 2 (TWO) terms: " √x " ; and: " 2√b " .
_________________________________________________________

To find the "conjugate" of the given binomial expression:

→ " √x + 2√b " ;

→ We simply change the "+" {plus sign} to a "−" {minus sign} ; and rewrite:
___________________________________________________________

→ " √x − 2√b " ;

→ which is the "conjugate" ; and is the correct answer:
___________________________________________________________
→ " √x − 2√b " ; is the "conjugate" of the expression: " √x + 2√b " .
___________________________________________________________
→ {that is: " √x − 2√b " ; is the conjugate.}.
___________________________________________________________

7 0

3 years ago

Find the 3rd term in (x-9)^7

Llana [10]

Answer:

The 3rd term would be the parenthesis to the 7th power.

8 0

2 years ago

Triangle BAC was rotated 90° clockwise and dilated at a scale factor of 2 from the origin to create triangle XYZ. Based on these

ANEK [815]

Answer:

The correct option is;

∠A ≅ ∠X

Step-by-step explanation:

The given coordinates of the points of triangle ACB are;

A(-4, 4), C(-1, 3), B(-4, 0)

The given coordinates of the points of triangle XYZ are;

X(0, 8), Y(8, 8), Z(6, 2), therefore, we have

The length. l. of segment is given by the following formula;

$l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}$

For the length of the segment AC; (x₁, y₁) = (-4, 4), (x₂, y₂) = (-1, 3), l = √(10)

For the length of the segment AB; (x₁, y₁) = (-4, 4), (x₂, y₂) = (-4, 0), l = 4

For the length of the segment BC; (x₁, y₁) = (-4, 0), (x₂, y₂) = (-1, 3), l = 3·√2

For the length of the segment XY; (x₁, y₁) = (0, 8), (x₂, y₂) = (8, 8), l = 8

For the length of the segment XZ; (x₁, y₁) = (0, 8), (x₂, y₂) = (6, 2), l = 6·√2

For the length of the segment ZY; (x₁, y₁) = (6, 2), (x₂, y₂) = (8, 8), l = 2·√(10

Therefore;

XY ~ AB, XZ ~ BC, ZY ~ AC

Which gives;

∠A ≅ ∠X, ∠B ≅ ∠Y, ∠C ≅ ∠Z

8 0

3 years ago

Read 2 more answers

HElP!

zheka24 [161]

Answer:

A- The cabinets have the same base area.

C- The cabinets may have the same base dimensions.

D- The cabinets may have different base dimensions

Step-by-step explanation:

4 0

3 years ago

Slope interspect form

vlabodo [156]

Y= 4x+5 because the slope intercept form would be y=mx+b
mx would be the slope and b is the other thing I forgot what it's called

3 0

3 years ago