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3 years ago

8. The product of 5, and 3 more than twice a number, is 85. What is the number?

Mathematics

1 answer:

Zolol [24]3 years ago

6 0

Answer:

Step-by-step explanation:

5(2x+3) = 85

10x + 15 = 85

x = (85 - 15)/10

x = 7

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Will mark brainliest if answer is relevant and answers first

love history [14]

Step-by-step explanation:

The new price of the flash drive is not $10 because 20% of $10 is 2 and if 2 is marked down by 10% it would not be $10.

6 0

3 years ago

Find the 19th term in each sequence. 11, 33, 99, 279

Paladinen [302]

Answer:

Step-by-step explanation:

hello : note 297 no 279

297 =3×99

99 = 3 ×33

33=3×11

this the geometric sequence. ( comon : 3)

the nth term is : An = A1 × r^n when : r = 3 and A1 =11

if n = 19 A19 = 11×3^19

8 0

2 years ago

PLEASE HELP<br>L has y-intercept (0,5) and is perpendicular to the line with equation y=1/3x+1

marin [14]

Answer:

y=-3x+5

Explanation:

Given a line L such that:

• L has y-intercept (0,5); and

• L is perpendicular to the line with equation y=(1/3)x+1.

We want to find the equation of the line in the slope-intercept form.

The slope-intercept form of the equation of a straight line is given as:

$\begin{equation} y=mx+b\text{ where }\begin{cases}m={slope} \\ b={y-intercept}\end{cases} \end{equation}$

Comparing the given line with the form above:

$y=\frac{1}{3}x+1\implies Slope,m=\frac{1}{3}$

Next, we find the slope of the perpendicular line L.

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

Let the slope of L = m1.

Since L and y=(1/3)x+1 are perpendicular, therefore:

$\begin{gathered} m_1\times\frac{1}{3}=-1 \\ \implies Slope\text{ of line L}=-3 \end{gathered}$

The y-intercept of L is at (0,5), therefore:

$y-intercept,b=5$

Substitute the slope, m=-3, and y-intercept, b=5 into the slope-intercept form.

$\begin{gathered} y=mx+b \\ y=-3x+5 \end{gathered}$

The equation of line L is:

$y=-3x+5$

7 0

1 year ago

One side of a right triangle has a length of 12 feet. Which of the following could be lengths for the two other sides of the rig

Elodia [21]

Answer:

Step-by-step explanation:

Apply the Pythagorean Theorem to determine whether or not the given triplets represent right triangles or not:

I. 5 feet and 13 feet: 5^2 + 12^2 = 13^2 is TRUE

II. 9 ft and √63 ft: 9^2, 63, 12^2: 63 + 81 do add up to 144 TRUE

III. 2, 10, 12^2: 2 + 10 do NOT add up to 144. FALSE

Answer B is correct

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2 years ago

Write an equation of the line containing the given point and perpendicular to the given line. express your answer in the form y=

katovenus [111]

The given line
4x + y = 5
The slope of the given line is -4

Find the slope of perpendicular line
m₁ × m₂ = -1
-4 × m₂ = -1
m₂ = -1/-4
m₂ = 1/4

Find the equation of perpendicular line
y - y₁ = m(x - x₁)
y - 9 = 1/4(x - 8)
y - 9 = (1/4) x - 2
y = (1/4)x - 2 + 9
y = (1/4)x + 7

4 0

3 years ago