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3 years ago

A shelf is built on a wall, as shown below. What is the value of x? (2x+1) + (3x-1)

Mathematics

1 answer:

Hoochie [10]3 years ago

6 0

Answer:

x = 18

Step-by-step explanation:

We need to find the value of x.

We know that the sum of angles of a triangle is equal to 180°. So, using this property,

2x+1+3x-1+90 = 180

2x+3x = 180-90

5x = 90

x = 18

So, the value of x is equal to 18.

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Need help quick please

valina [46]

Answer:

Disagree

Step-by-step explanation:

Remember rotating 90 degrees means (y,-x)

A= (1,2)

A'= (2,-1)

So it is disagreed.

Hope this help :)

3 0

3 years ago

Read 2 more answers

Find the particular solution of the differential equation that satisfies the initial condition(s). f ''(x) = x−3/2, f '(4) = 1,

sweet [91]

Answer:

Hence, the particular solution of the differential equation is $y = \frac{1}{6} \cdot x^{3} - \frac{3}{4}\cdot x^{2} - x$ .

Step-by-step explanation:

This differential equation has separable variable and can be solved by integration. First derivative is now obtained:

$f'' = x - \frac{3}{2}$

$f' = \int {\left(x-\frac{3}{2}\right) } \, dx$

$f' = \int {x} \, dx -\frac{3}{2}\int \, dx$

$f' = \frac{1}{2}\cdot x^{2} - \frac{3}{2}\cdot x + C$ , where C is the integration constant.

The integration constant can be found by using the initial condition for the first derivative ( $f'(4) = 1$ ):

$1 = \frac{1}{2}\cdot 4^{2} - \frac{3}{2}\cdot (4) + C$

$C = 1 - \frac{1}{2}\cdot 4^{2} + \frac{3}{2}\cdot (4)$

$C = -1$

The first derivative is $y' = \frac{1}{2}\cdot x^{2}- \frac{3}{2}\cdot x - 1$ , and the particular solution is found by integrating one more time and using the initial condition ( $f(0) = 0$ ):

$y = \int {\left(\frac{1}{2}\cdot x^{2}-\frac{3}{2}\cdot x -1 \right)} \, dx$

$y = \frac{1}{2}\int {x^{2}} \, dx - \frac{3}{2}\int {x} \, dx - \int \, dx$

$y = \frac{1}{6} \cdot x^{3} - \frac{3}{4}\cdot x^{2} - x + C$

$C = 0 - \frac{1}{6}\cdot 0^{3} + \frac{3}{4}\cdot 0^{2} + 0$

$C = 0$

Hence, the particular solution of the differential equation is $y = \frac{1}{6} \cdot x^{3} - \frac{3}{4}\cdot x^{2} - x$ .

5 0

4 years ago

gizmo_the_mogwai [7]

Answer:

triangle EFD

Step-by-step explanation:

5 0

3 years ago

Andrea has a goal of running at least 50 miles this month. She has already run 7 miles. How many miles does Andrea need to run e

Nuetrik [128]

Answer:

At least 1.72 miles per day.

Step-by-step explanation:

Given: Goal of running is at least 50 miles in a month.

Andrea have already run 7 miles.

Days left in the month is 25.

As given, Andrea have already run 7 miles.

∴ Andrea need to run this month= $50\ miles - 7\ miles= 43\ miles$

Days remaining this month is 25.

Now, finding miles need to run each day to meet her goal.

Miles need to run each day= $\frac{remaining\ miles}{remaining\ days}$

⇒ Miles need to run each day= $\frac{43}{25} = 1.72\ miles$

∴ Andrea need to run at least 1.72 miles to meet her goal this month.

8 0

3 years ago

Line AB passes through A(-3, 0) and B(-6, 5). What is the equation of the line that passes through the origin and is parallel to

amid [387]

parallel means "same slope (m)"

m = $\frac{y2 - y1}{x2 - x1}$ = $\frac{0 - 5}{-3 - (-6)} = \frac{-5}{-3 + 6} = \frac{-5}{3}$

Now, input the point (0, 0) and the slope $(\frac{-5}{3})$ into the Point-Slope formula:

y - y₁ = m(x - x₁)

y - 0 = $\frac{-5}{3}$ (x - 0)

y = $\frac{-5}{3}x$

3y = -5x <em>multiplied both sides by 3</em>

0 = -5x - 3y <em>subtracted 3y from both sides</em>

Answer: C

7 0

3 years ago