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3 years ago

Write the equation of the line that passes through the point (0,3) and is perpendicular to y=-1/2x+7

Mathematics

1 answer:

Naddika [18.5K]3 years ago

7 0

Answer: y = 2 x + 3

Step-by-step explanation:

Find the negative reciprocal of the slope of the original line and use the point-slope formula y − y 1 = m ( x − x 1 ) to find the line perpendicular to

y = − 1 /2 x + 7 .

y = 2 x + 3

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4. Which of the following is not true of saliva?

erik [133]

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Step-by-step explanation:

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3 years ago

If the order of a matrix A is 2×3 and order of AB is 2×4 then, find the order of matrix B.

marshall27 [118]

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2 years ago

A garden hose having an internal diameter of 0.740 in. ( 1.8796 cm ) is connected to a lawn sprinkler that consists merely of an

lara31 [8.8K]

Answer:

It will leave the sprinkler at speed of $v_2=613.87m/sec$

Step-by-step explanation:

We have given internal diameter of the garden hose $d_1=0.740in=1.8796cm$

So radius $r_1=\frac{d_1}{2}=\frac{1.8796}{2}=0.9398cm$

So area $A_1=\pi r_1^2=3.14\times 0.9398^2=2.7733cm^2$

Water in the hose has a speed of 4 ft/sec

So $v_1=4ft/sec=121.92cm/sec(As\ 1ft/sec\ =30.48cm/sec)$

Number of holes n = 36

Diameter of each hole $d_2=0.1397cm$

So radius $r_2=0.0698cm$

So area $A_2=\pi r^2=3.14\times 0.0698^2=0.0153cm^2$

From continuity equation

$A_1v_1=nA_2v_2$

$2.7733\times 121.92=36\times 0.0153\times v_2$

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3 years ago

A circle is centered at the origin and contains the point (-6, -8). What is the area of this circle?

gogolik [260]

Answer:

314 units²

Step-by-step explanation:

Centre of the circle = (0, 0)

Another point on the circle = (-6, -8)

$\text {Radius = }\sqrt{(0 - (-6))^2 + (0- (-8))^2}$

$\text {Radius = }\sqrt{6^2 + 8^2}$

$\text {Radius = }\sqrt{100}$

$\text {Radius = }10$

Area = π (10)² = 100π = 314 units²

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3 years ago

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Anastaziya [24]

Answer:

the answer is A ...........

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3 years ago