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1 year ago

find an approximate equation of the line that has the given slope and contains the given point. m=2.9,(3,3-5.1)

Mathematics

1 answer:

Aloiza [94]1 year ago

3 0

$\begin{gathered} y=mx+b,\text{ for m=}2.9 \\ y=2.9x+b \end{gathered}$

For point (3.3,-5.1)

$\begin{gathered} -5.1=2.9\cdot3.3+b \\ -5.1=9.57+b \\ -5.1-9.57=b \\ b=-14.67 \end{gathered}$ $y=2.9x-14.67$

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Question 2 help please

m_a_m_a [10]

Answer:

The measure of the vertex angle is 94 degrees ⇒ A

Step-by-step explanation:

In any triangle, the sum of the measures of its interior angle is 180°

In the isosceles triangle, the two base angles are equal in measures

∵ In an isosceles triangle, the measure of the base angle = (2x + 5)

∵ The base angles of the isosceles triangles are equal in measures

∴ The measures of the base angles are (2x + 5), (2x + 5)

∵ The measure of the vertex angle = (5x - 1)

∵ The sum of the measure of the three angles = 180°

∴ (2x + 5) + (2x + 5) + (5x - 1) = 180

→ Add the like terms in the left side

∵ (2x + 2x + 5x) + (5 + 5 + -1) = 180

∴ 9x + 9 = 180

→ Subtract 9 from both sides

∴ 9x + 9 - 9 = 180 - 9

∴ 9x = 171

→ Divide both sides by 9 to find x

∴ x = 19

→ Substitute the value of x in the measure of the vertex angle to find it

∵ The measure of the vertex angle = 5x - 1

∴ The measure of the vertex angle = 5(19) - 1

∴ The measure of the vertex angle = 95 - 1

∴ The measure of the vertex angle = 94°

∴ The measure of the vertex angle is 94 degrees

6 0

3 years ago

Find the distance between the following points R(-2, 3), S(3, 15)

aleksley [76]

Your answer will be: 13

5 0

2 years ago

Find the average value of f over region

SVETLANKA909090 [29]

$D$ is a right triangle with base length 1 and height 8, so the area of $D$ is $\dfrac12(1)(8)=4$ .

The average value of $f(x,y)$ over $D$ is given by the ratio

$\dfrac{\displaystyle\iint_Df(x,y)\,\mathrm dA}{\displaystyle\iint_D\mathrm dA}$

The denominator is just the area of $D$ , which we already know. The average value is then simplified to

$\displaystyle\frac74\iint_Dxy\,\mathrm dA$

In the $x,y$ -plane, we can describe the region $D$ as all points $(x,y)$ that lie between the lines $y=0$ and $y=8x$ (the lines which coincide with the triangle's base and hypotenuse, respectively), taking $0\le x\le1$ . So, the integral is given by, and evaluates to,

$\displaystyle\frac74\int_{x=0}^{x=1}\int_{y=0}^{y=8x}xy\,\mathrm dy\,\mathrm dx=\frac78\int_{x=0}^{x=1}xy^2\bigg|_{y=0}^{y=8x}\,\mathrm dx$
$=\displaystyle56\int_{x=0}^{x=1}x^3\,\mathrm dx$
$=14x^4\bigg|_{x=0}^{x=1}$
$=14$

3 0

3 years ago

The cost to rent a construction crane is $750 per day plus $250 per hour of use. What is the maximum number of hours the crane c

anzhelika [568]

Let's use x to represent the number of hours since we don't know that.

750+250x<2500
Subtract 750 from both sides.
250x<1750
Divide both sides by 250.
x<7
The most hours that they can do is 7, or it can be less.

6 0

3 years ago

If every pair of consecutive angles of a quadrilateral are supplementary, then the quadrilateral must be a parallelogram.

Luda [366]

Answer: true.

If a quadrilateral is a parallelogram, it has two sets of opposite sides that are congruent. If you follow the picture attacheed, you see that AD equals BC and AB equals DC.
There is a theorem that says that If a quadrilateral is a parallelogram, it has consecutive angles that are supplementary. Suplementary means that, those 2 angles together, form 180º.

7 0

3 years ago

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