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2 years ago

Answer this question with a clear explanation to be marked as Brainiest ✨✨✨✨✨✨✨✨

Mathematics

1 answer:

Nina [5.8K]2 years ago

5 0

Answer:

Step-by-step explanation:

A, B and D are all only a few digits long and can be expressed as the ratio of two integers, where at least one is even:

A = -6/16 = -3/8, so it's rational

B = 7.0398 = 35199/5000, so it's rational

D = 6,907 = 13814/2, therefore rational

C, on the other hand is irrational.

If we simplify the surd √8, we get 2√2. The 2's on the top and bottom can now cancel out, giving us √2, which is irrational. [There's a proof but it's kinda long].

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If y is 9 and x is 12, what additional information is necessary to show that triangle DUM is congruent to triangle MAP using the

Law Incorporation [45]

Δ DUM Δ MAP

hypotenuse: 15 2y-3
short leg: 12 0.5x + 6

y = 9 ⇒ 2(9) - 3 = 18 - 3 = 15 Congruent with the hypotenuse of Δ DUM
x = 12 ⇒ 0.5(12) + 6 = 6 + 6 = 12 Congruent with the short leg of Δ DUM

SAS postulate states that two triangles are congruent if 2 of its sides and 1 angle have equal measure. Both the hypotenuse and short leg are equal in measure. Thus, both triangles are congruent with each other.

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3 years ago

Triangle DEF has vertices D(0,0), E(7,0), and F(3,7).

Leni [432]

Answer:

(3, 1.7)

Step-by-step explanation:

The point at which the vertices of a triangle meet is known as the orthocenter of the triangle. The orthocenter passes through the vertex of the triangle and is perpendicular to the opposite sides.

Two lines are perpendicular if the product of their slopes is -1.

The slope of the line joining D(0,0), F(3,7) is:

$m_1=\frac{7-0}{3-0}=\frac{7}{3}$

The slope of the line perpendicular to the line joining D and F is -3/7. The orthocenter is perpendicular to the line joining D and F and passes through vertex E(7, 0). The equation is hence:

$y-y_1=m(x-x_1)\\\\y-0=-\frac{3}{7} (x-7)\\\\y=-\frac{3}{7}x+3 \ .\ .\ .\ (1)$

The slope of the line joining E(7,0), and F(3,7). is:

$m_1=\frac{7-0}{3-7}=-\frac{7}{4}$

The slope of the line perpendicular to the line joining E and F is 4/7. The orthocenter is perpendicular to the line joining E and F and passes through vertex D(0, 0). The equation is hence:

$y-y_1=m(x-x_1)\\\\y-0=\frac{4}{7} (x-0)\\\\y=\frac{4}{7} x\ .\ .\ .\ (2)$

The point of intersection of equation 1 and equation 2 is the orthocenter. Solving equation 1 and 2 simultaneously gives:

x = 3, y = 1.7

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2 years ago

How many 1/5 s make 14/10

Sliva [168]

Answer:

$7$

Step-by-step explanation:

$\frac{14}{10} \div \frac{1}{5} = 7$

8 0

2 years ago

Read 2 more answers

Sal was tired of waiting for Amir to show up at their meeting place, so he started running at an average speed of 4.5 mph withou

sergiy2304 [10]

A=-.25+6.7t, s=.75+4.5t when Amir catches up a=s so:

-.25+6.7t=.75+4.5t add .25 to both sides

6.7t=1+4.5t subtract 4.5t from both sides

2.2t=1 divide both sides by 2.2

t=10/22 hr

t≈0.45 hr (to nearest hundredth)

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2 years ago

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Which point is not on the graph of y =2x + 3?

Nostrana [21]

Answer:

i'm pretty sure its D

Step-by-step explanation:

if you make a graph yourself you'll see all the rel;relationship match except for d

3 0

3 years ago