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3 years ago

Evaluate please 2x+(−6)∙(y+1) for x=−1.5 and y=−3

2 answers:

8 0

First, you plug your given values in. Since x is 1.5, it will be multiples by 2x to get 3.2. Since y is -3, it will be added to 1 to get -2. Finally, the two are multiplied together to get -6.4 if I am correct.

DochEvi [55]3 years ago

8 0

Answer:

Step-by-step explanation:

2 multiplied by -1.5 = -3.0

y + 1 = -2

So, the equation would be:

-3 - 6 multiplied by -2

Using the rule of PEMDAS, you would multiply -6 and -2 first, making the new equation now:

-3 + 12

12 - 3 = 9, resulting in the answer.

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A path 1 m wide is build around a garden that is a 30-meter square. What is the area taken by the path?

maria [59]

Length of outer boundary =30m

So area of outer boundary =30×30

= 900m²

Length of inner boundary of path=30-1= 29m

Inner area =29×29 =841m²

So area of path is= outer area - inner area

=900- 841

= 59m²

6 0

1 year ago

Convert the rectangular coordinates (-9, 3V3) into polar form. Express the angle

Whitepunk [10]

Answer:

$(6\sqrt{3},\,\frac{5\pi}{6})$

Step-by-step explanation:

The radius r can be found from the relationship

$r^2=x^2+y^2\\r^2=(-9)^2+(3\sqrt{3})^2\\r^2=81+27=108\\r=\sqrt{108}\\r=6\sqrt{3}$

The point is in Quadrant II (-, +), so use the inverse cosine function to find the angle.

$\cos{\theta}=\frac{x}{r}=\frac{-9}{6\sqrt{3}}\\\cos{\theta}=-\frac{9}{6\sqrt{3}} \cdot \frac{\sqrt{3}}{\sqrt{3}}\\\cos{\theta}=-\frac{9\sqrt{3}}{6\cdot3}\\\cos{\theta}=-\frac{\sqrt{3}}{2}\\\\\cos^{-1}\frac{-\sqrt{3}}{2}}=\frac{5\pi}{6}$

See the attached image.

7 0

2 years ago

The sum of first 'n' terms. Sn of a particular Arithmetic Progression is given by Sn=12n-2n^2. Find the first term and the commo

Vitek1552 [10]

Answer:

d=-4 and a=10

Step-by-step explanation:

The sum of a arithmetic sequence is given by (n/2)*(2a+(n-1)d). Comparing coefficients with the given Sn, we have; a-d/2=12 and d/2=-2, d=-4 and a=10.

4 0

3 years ago

on a recent trip together nancy drove 70 miles, dave drove 45 miles and louis drove 95 miles. how many more miles did nancy driv

EleoNora [17]

She drove 25 more miles than Dave.

70 - 45= 25

6 0

2 years ago

Central Angles and Arc Measures Practice What is X?

myrzilka [38]

Answer: $5^{\circ}$

Step-by-step explanation:

Given

$\angle DIE=(18x-2)^{\circ}\\\angle DIH=15^{\circ}\\\angle FIG=103^{\circ}$

from the figure

$\angle HIE=\angle GIF\quad [\text{vertically opposite angles}]\\\angle HID+\angle DIE=\angle GIF\\15^{\circ}+(18x)^{\circ}-2^{\circ}=103^{\circ}\\(18x)^{\circ}=103^{\circ}-13^{\circ}\\\\x=\dfrac{90^{\circ}}{18}\\\\x=5^{\circ}$

7 0

2 years ago