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3 years ago

If 10=1/5x, then x+3=. Explain your reasoning

Mathematics

1 answer:

Daniel [21]3 years ago

6 0

If I can see good, then : 10 = 1/5x

50x = 1

x = 1/50

x + 3 = 1/50 + 3 = 1/50 + 150/50 = 151/50

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Write the equation of the line with a slope of 1/4 that passes through the point (8, -3).

pantera1 [17]

Answer:

-7

Step-by-step explanation:

-8 = (-1/4)(4) + b

-8 = -1 + b

b = -7

8 0

3 years ago

Look at the figure what is the value of y √2y+3=11

Natasha_Volkova [10]

Answer:

y=2

Step-by-step explanation:

first solve those in the brackets then find the square root

2y+3=11

put like terms together

3 goes to the right side

2y=11-3

2=8

y=4

√4=2

y=2

3 0

3 years ago

Find the vertex of this parabola.<br><br><br><br> y = -2x2 + 4x + 12

STatiana [176]

For this case we have the following equation:
$y = -2x ^ 2 + 4x + 12
$
Deriving we have:
$y = -2x ^ 2 + 4x + 12

y '= -4x + 4$
We match zero:
$-4x + 4 = 0
$
We clear the value of x:
$4x = 4

x = 4/4

x = 1$
Then, we substitute the value of x in the equation of the parabola:
$y = -2 (1) ^ 2 + 4 (1) + 12

y = -2 + 4 + 12

y = 14$
Thus, the vertex of the parabola is the ordered pair:
$(x, y) = (1, 14)$
Answer:
The vertice is:
$(x, y) = (1, 14)$

3 0

3 years ago

Determine whether the improper integral converges or diverges, and find the value of each that converges.

shusha [124]

Answer:convergent

Step-by-step explanation:

Given

Improper Integral I is given as

$I=\int_{-\infty}^{0}1000e^xdx$

$I=1000=\int_{-\infty}^{0}e^xdx$

integration of $e^x$ is $e^x$

$I=1000\times \left [ e^x\right ]^{0}_{-\infty}$

$I=1000\times I=\left [ e^0-e^{-\infty}\right ]$

$I=1000\times \left [ e^0-\frac{1}{e^{\infty}}\right ]$

$I=1000\times 1=1000$

so the integration converges to 1000 units

6 0

3 years ago

Is a kite a parallelogram?

Elena L [17]

Answer: A kite is generally not considered a parallelogram. A kite is usually defined as having two sets of consecutive congruent sides. If the definition includes the phrase two DISTINCT sets of congruent sides it will not be a parallelogram, as the opposite sides will not be congruent.

Step-by-step explanation:

5 0

3 years ago