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3 years ago

URGENT PLEASE HELP

Mathematics

1 answer:

Inga [223]3 years ago

4 0

Answer:

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

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x - 3 ← is in slope- intercept form

with slope m = 3

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{3}$ , hence

y = - $\frac{1}{3}$ x + c ← is the partial equation of the perpendicular line

To find c substitute (3, 1) into the partial equation

1 = - 1 + c ⇒ c = 1 + 1 = 2

y = - $\frac{1}{3}$ x + 2 ← equation of perpendicular line

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Transformation rules, HELP PLEASE, WILL GIVE BRAINLEIST

Tatiana [17]

1. (x , y) → (kx , ky) = Dilation ; similar image
2. (x , y) → (y , -x) = Rotation 90 counterclockwise ; congruent
3. (x , y) → (-x , y) = Reflection over y-axis ; congruent
4. (x , y) → (-x , -y) = Rotation 180 ; congruent
5. (x , y) → (x, -y) = Reflection over x-axis ; congruent
6. (x , y) → (-y , x) = Rotation 90 clockwise ; congruent
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Hope this helps :)

8 0

4 years ago

Given: m∠AEB = 45° ∠AEC is a right angle. Prove: bisects ∠AEC. Proof: We are given that m∠AEB = 45° and ∠AEC is a right angle. T

NNADVOKAT [17]

Answer:

The proof is explained below.

Step-by-step explanation:

Given ∠AEB=45° and also ∠AEC is right angle i.e ∠AEC=90°

we have to prove that EB is the angle bisector.

In the right angled triangle AEC,

∠AEC=90° and also ∠AEB=45°

∵ ∠AEB+∠BEC=∠AEC

⇒ 45° + ∠BEC = 90°

By subtraction property of equality

∠BEC = 45°

Hence, ∠AEB = ∠BEC = 45°

The angle ∠AEB equally divides by the line segment EB therefore, the line segment EB is the angle bisector of angle ∠AEB.

7 0

3 years ago

Read 2 more answers

Can someone answer this question answer it correctly please and show work please

3241004551 [841]

Answer:

42) 254.47 ft²

43) 56 pendants

Step-by-step explanation:

42)

The radius of a circle is equal to half of its diameter.

Diameter = 18 feet

Radius = Diameter ÷ 2 = 18 ÷ 2 = 9 feet

Area of a circle = π $r^{2}$

Substitute in known value of r

Area = π $9^{2}$

Substitute in pi

Area = 3.14 * $9^{2}$

Solve exponent

Area = 3.14159265359 * 81

Area = 254.4690049408

(Rounds to 254.47)

254.47 ft²

43)

$1\frac{1}{2} =$ 1.5 ounces per pendant

3 pieces of silver:

$1\frac{7}{8}$ pounds

14 ounces

$2\frac{1}{2}$ pounds

Convert to improper fractions (1 lb = 16 ounces)

$\frac{15}{8}$ pounds

$\frac{14}{16}$ pounds

$\frac{5}{2}$ pounds

Find a common denominator for the fractions

$\frac{30}{16}$ pounds

$\frac{14}{16}$ pounds

$\frac{40}{16}$ pounds

Add

$\frac{30}{16}$ + $\frac{14}{16}$ + $\frac{40}{16}$

$\frac{84}{16}$ pounds

Find how many pendants can be made out of this amount

$\frac{84}{16}$ pounds

Convert back to ounces (1 lb = 16 ounces)

84 ounces

Amount to make one pendant:

$1\frac{1}{2}$ ounces

Convert to decimal

1.5 ounces

Divide 84 by amount of silver per pendant

84 ÷ 1.5

The maximum number the pendants that the manufacturer can make is 56

Hope this helps :)

8 0

3 years ago

After selling tickets to a dance for 3.25 each,the student council brought in 1020.50 from ticket sales how many tickets did the

andre [41]

They sold 314 tickets.

3 0

3 years ago

Read 2 more answers

What two-dimensional figure will result from slicing this rectangular pyramid parallel to the base?

andreev551 [17]

Answer: The answer is D. Trapezoid.

Step-by-step explanation: As shown in the attached figure, a rectangular pyramid ABCDE is drawn. We are slicing this rectangular pyramid parallel to the base BCDE at the points F, G, H and I.

We can clearly see from the figure that upper half of the sliced figure will be similar to the pyramid BCDE and the lower sliced figure will be a trapezoid. These are the three-dimensional figures.

Also, the sliced two-dimensional figure FGHI will be a rectangle, because

the pyramid is a rectangular one and so, FI=GH, FG=HI and all the angles are right angles.

Thus, the resulting two-dimensional figure will be a rectagle.

7 0

3 years ago

Read 2 more answers