All categories

3 years ago

What value for x makes the equation 4x + 9 = 3(x – 2) + 10 true?

Mathematics

1 answer:

Fofino [41]3 years ago

8 0

4x+9=3(x-2)+10
4x+9=3x+4
x+9=4
x=-5

The answer is 1 or A)-5

You might be interested in

Y = |x-4|+6 The axis of symmetry is x=

Troyanec [42]

Answer:

Y = |x-4|+6 The axis of symmetry is x=xxx se_x.com

Step-by-step explanation:

8 0

3 years ago

ABCD is a Rhombus with side length 10 cm. Angle ADC = 40. DAC is a sector of a circle with center D. BAC is a sector of a circle

Natasha_Volkova [10]

The value of the <em>shaded</em> area is approximately 34.907 square centimeters.

<h3>How to calculate the area between a rhombus and a circle</h3>

According to the description in statement we prepared a representation of the figure in the image attached below. The <em>shaded</em> area is equal to the area of the <em>circle</em> sector ( $A$ ), in square centimeters:

$A = \frac{\theta\cdot \pi \cdot R^{2}}{360}$ (1)

Where:

$R$ - Length of the radius, in centimeters.
$\theta$ - Angle of circle arc, in degrees.

If we know that $\theta = 40^{\circ}$ and $R = 10\,cm$ , then the area of the circle is:

$A = \frac{(40)\cdot \pi\cdot (10\,cm)^{2}}{360}$

$A\approx 34.907\,cm^{2}$

The value of the <em>shaded</em> area is approximately 34.907 square centimeters. $\blacksquare$

To learn more on areas, we kindly invite to check this verified question: brainly.com/question/16151549

7 0

2 years ago

Luis has a pyramid shaped plant pot. It has a square base with a side length of 36 cm, and the height of the pot is 36 cm. Luis

umka21 [38]

Answer:

The required volume, if he wants to fill 75% of the pot's volume, is 11664cm³

Step-by-step explanation:

The volume of a pyramid is given as

$V = \frac{1}{3} \times A \times h$

Where V is the pot's volume, A is the base area and h is the height.

Our base is a square, so the base area, if s denotes the side length, would be s x s.

s = 36cm, therefore we have A = 36cm X 36cm = 1296cm².

The height is given as 36cm, therefore we have our volume to be:

$V = \frac{1}{3} \times 1296cm^2 \times 36cm$

$V = 15552cm^3$

Since Luis wants to fill 75% of the pot's volume with soil. Then it will take

$\frac{75}{100} \times 15552cm^3 = 11664cm^3$

Thus, the required volume, if he wants to fill 75% of the pot's volume, is 11664cm³

7 0

3 years ago

The function f(x) is shown in the graph.

GenaCL600 [577]

The function f(x) is shown in the graph is (a) an exponential function

<h3>How to determine the function type?</h3>

From the graph, we can see that:

The function starts from a base
It then increases, exponentially

Only exponential functions have the above features

Hence, the function f(x) is shown in the graph is (a) an exponential function

Read more about exponential function at:

brainly.com/question/2456547

#SPJ1

3 0

2 years ago

Write an equation for this situation: The cost of renting a car is $30 per day.

Luba_88 [7]

Cost: $30
x: amount of days
y=30x

8 0

3 years ago