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3 years ago

Which of the following is a correct way to name the object shown? Check all

Mathematics

1 answer:

Sidana [21]3 years ago

7 0

9514 1404 393

Answer:

$\textbf{C. }\overline{AB}\\\textbf{D. }\overline{BA}$

Step-by-step explanation:

The letters designating the end points of the segment may be listed in either order. The symbol over the pair of letters is a bar with no arrows on it.

Arrows on the bar over the point names indicate a ray (arrow to the right) or a line (double-ended arrow). This is only a segment, which does not extend beyond its end points.

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F almonds sell for $1.20 per pound, and walnuts sell for $.75 per pound, how many pounds of each must be used to make 45 pounds

lukranit [14]

Answer:

Option A.) 20 pounds of walnuts and 25 pounds of almonds is correct.

Step-by-step explanation:

i) let x be the the number of pounds of almonds

ii) let y be the number of pounds of walnuts

iii) therefore x + y = 45 pounds of the mixture

iv) 1.2x + 0.75y = 1.00 $\times$ 45 = 45

v) Multipling equation in iv) by 4 we get

4.8x + 3y = 180

vi) multiplying equation in iii) by 3 we get

3x + 3y = 135

vii) subtracting equation vi) from equation v) we get 1.8x = 45

ix) therefore we get x = 45/1.8 = 25 pounds of almonds

x) therefore 25 + y = 45 .... substituting value of x from ix) in iii) we get

therefore y = 20 pounds of walnuts

Therefore option A.) 20 pounds of walnuts and 25 pounds of almonds is correct.

7 0

2 years ago

What is the simplified form of 12x/900x²y4z6?

zalisa [80]

Answer:

$360xy^2|xz^3|$

Step-by-step explanation:

Given expression:

$12x \sqrt{900x^2y^4z^6}$

$\textsf{Apply radical rule} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}:$

$\implies 12x \sqrt{900}\sqrt{x^2}\sqrt{y^4}\sqrt{z^6}$

Replace 900 with 30² :

$\implies 12x \sqrt{30^2}\sqrt{x^2}\sqrt{y^4}\sqrt{z^6}$

$\textsf{Apply radical rule} \quad \sqrt{a^2}=a, \quad a \geq 0:$

$\implies 12x \cdot 30|x|\sqrt{y^4}\sqrt{z^6}$

$\implies 360x|x|\sqrt{y^4}\sqrt{z^6}$

(We need to use the absolute value of √x² since the x term was originally to the power of 2, which means the value of x² is always positive since the exponent is even).

$\textsf{Apply exponent rule} \quad \sqrt{a^m}=a^{\frac{m}{2}}:$

$\implies 360x|x|\cdot y^{\frac{4}{2}}\cdot z^{\frac{6}{2}}$

Simplify:

$\implies 360xy^2|xz^3|$

(We need to use the absolute value of z³ since the z term was original to the power of 6, which means the value of z⁶ is always positive since the exponent is even).

7 0

1 year ago

Which point is an x-intercept Og the quadratic function f(x) = (x-4)(x+2)?

user100 [1]

<span>(-6,0) would be correct </span>

8 0

2 years ago

Read 2 more answers

An altitude of a triangle is a line or segment that passes through a vertex of

Nady [450]

Answer: side

Step-by-step explanation: