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3 years ago

Solve the following proportion for v.

Mathematics

1 answer:

Agata [3.3K]3 years ago

3 0

Answer:

10.6

Step-by-step explanation:

Step 1: Cross-multiply.

$8 * v = 5 * 17$
$8v = 85$

Step 2: Divide both sides by 8.

$\frac{8v}{8} = \frac{85}{8}$
$v = \frac{85}{8}$
$v = 10\frac{5}{8}$
$v = 10.625$

Step 3: Round to the nearest tenth.

$10.625$ ≈ $10.6$
$v = 10.6$

Therefore, the answer is 10.6.

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Lines 3x-2y+7=0 and 6x+ay-18=0 is perpendicular. What is the value of a?

BlackZzzverrR [31]

Answer:

$\boxed{\sf a = 9 }$

Step-by-step explanation:

Two lines are given to us which are perpendicular to each other and we need to find out the value of a . The given equations are ,

$\sf\longrightarrow 3x - 2y +7=0$

$\sf\longrightarrow 6x +ay -18 = 0$

Step 1 : Convert the equations in slope intercept form of the line .

$\sf\longrightarrow y = \dfrac{3x}{2} +\dfrac{ 7 }{2}$

and ,

$\sf\longrightarrow y = -\dfrac{6x }{a}+\dfrac{18}{a}$

Step 2: Find the slope of the lines :-

Now we know that the product of slope of two perpendicular lines is -1. Therefore , from Slope Intercept Form of the line we can say that the slope of first line is ,

$\sf\longrightarrow Slope_1 = \dfrac{3}{2}$

And the slope of the second line is ,

$\sf\longrightarrow Slope_2 =\dfrac{-6}{a}$

Step 3: Multiply the slopes :-

$\sf\longrightarrow \dfrac{3}{2}\times \dfrac{-6}{a}= -1$

Multiply ,

$\sf\longrightarrow \dfrac{-9}{a}= -1$

Multiply both sides by a ,

$\sf\longrightarrow (-1)a = -9$

Divide both sides by -1 ,

$\sf\longrightarrow \boxed{\blue{\sf a = 9 }}$

Hence the value of a is 9 .

8 0

3 years ago

Please someone help me out

Aneli [31]

Answer: maximum height of the football = 176 feet

Step-by-step explanation:

We want to determine the maximum height of the football from the ground. From the function given,

h(t) = -16t^2+96t +32, it is a quadratic function. Plotting graph if h will result to a parabolic shape. The maximum height of the football = the vertex of the parabola. This vertex is located at time, t

t = -b/2a

b = 96 and a= -16

t = -b/2a = -96/2×-16= 3

Substituting t = 3 into the function if h

h(t) = -16×3^2+96×3 +32

=-16×9 + 96×3 +32

= -144+ 288+32

=176 feet

6 0

3 years ago

What is a possible value for the missing term of the geometric sequence ?

lesantik [10]

50 * 3 = 150 and 150 * 3 = 450

So the answer is b 150

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4 years ago

Which equation is represented by the phrase “one-fourth of a number, increased by eight equals sixteen”?

joja [24]

Answer:

One-fourth n + 8 = 16

Step-by-step explanation:

basically 1/4n +8=16

4 0

3 years ago

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Answer:

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3 years ago