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masya89 [10]
3 years ago
10

Work out the equation of the line which has a gradient of 12 and

Mathematics
1 answer:
IrinaVladis [17]3 years ago
4 0

Step-by-step explanation:

Equation of line in slope point form is given as:

y - y_1 = m(x - x_1) \\  \therefore \: y - ( - 2) = 12(x - 4) \\  \therefore \: y  +  2 = 12x - 48 \\ \therefore \: 12x - y - 48 - 2 = 0 \\ \therefore \: 12x - y - 50 = 0 \\ which \: is \: the \: equation \:  of \: \: required \:\\line.

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The space shuttle releases a space telescope into orbit
sergey [27]

Answer: 68 m/s^{2}

Step-by-step explanation:

The acceleration a of the satellite can be calculated by the following equation:

V_{f}=V_{o}+at

Where:

V_{f}=1700 m/s is the final speed of the satellite

V_{o}=0 is the initial speed of the satellite (it was "stationary" before the release)

t=25 s is the time

Isolating a:

a=\frac{V_{f}}{t}

a=\frac{1700 m/s}{25 s}

Finally:

a=68 m/s^{2}

4 0
3 years ago
The perimeter of triangle ABC is given by the expression 3x2 - 7x + 2.
VladimirAG [237]

Answer:

<em>Perimeter of ABC = AB + BC+AC. Replace letters with equations.</em>

<em>3x^2-7x+2</em><em> = </em><u><em>2x^2-10x+6 + x^2-x-4 + AC</em></u><em> = </em><em>3x^2-11x+2 + AC</em><em>.</em>

<em>AC = 4x;</em>

3 0
3 years ago
Read 2 more answers
HELP! ASAP!<br> What is the measure of ∠A?<br><br><br> What is the measure of ∠B?
olganol [36]
The opposite angles of a parallelogram are equal.
Therefore
m∠A = m∠C, so that
5y - 3 = 3y + 27
Subtract 3y from each side.
5y - 3y - 3 = 3y - 3y + 27
2y - 3 = 27
Add 3 to each side.
2y - 3 + 3 = 27 + 3
2y = 30
y = 30/2 = 15

Therefore
m∠A = 5*15 - 3 = 72°
m∠C = 72°

Let x = m∠B
Then x = , m∠B = m∠C
Because the sum of the angles in the parallelogram is 360°, therefore
x + x + 72 + 72 = 360
2x = 360-144 = 216
x = 216/2 = 108

Answer:
m∠A = 72°
m∠B = 108°

3 0
3 years ago
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7 0
3 years ago
Find the volume of a cylinder with a diameter of 10 inches and a height of 20 inches. Use 3.14 for π.
Snowcat [4.5K]
<span>Lets find the volume of a cylinder with a diameter D=10 inches and lenght L= 20 inches. First we need to notice that the diameter is twice the size of the radius: D=2r. Then we write the equation for the volume of the cylinder. it is the base times the height: V=pi*r^2 * L. Now we input the nubmers in the equation: V=3.14*(D/2)^2 * L where r=D/2=5 inches and after calculating we get: V=1570 inches^3</span>
6 0
3 years ago
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