Tell whether each equation has one, zero, or infinitely many solutions. 5(x - 3) +6= 5x

Dmitriy789 [7]

To estimate this question, you can round the numbers to be compatible, to make it easier for yourself. The numbers should be able to be divided cleanly, as this is an estimate, not the actual problem solving. You could, for example, round 341 to 300, and 28 to 30, and divide them to get 10.
Hope that helped.

3 0

3 years ago

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HELP FAST GIVE A DECENT AMOUNT OF POINTS! FOR EASY!

laila [671]

Answer:

The value of angle is 56.9°

Step-by-step explanation:

First, you have to find the length of hypotenuse using Pythagoras' Theorem, c² = a² + b² :

${c}^{2} = {a}^{2} + {b}^{2}$

$let \: a = 8.25 \\ let \: b = 6.45$

${c}^{2} = {8.25}^{2} + {6.45}^{2}$

${c}^{2} = 68.0625 + 41.6025$

${c}^{2} = 109.665$

$c = \sqrt{109.665}$

$c = 10.47cm \: (4s.f)$

In order to find θ, you have to apply Sine Rule :

$\sin(θ) = \frac{opposite}{adjacent}$

$let \: oppo. = 8.77 \\ let \: hypo. = 10.47$

$\sin(θ) = \frac{8.77}{10.47}$

$θ = { \sin( \frac{8.77}{10.47} ) }^{ - 1}$

$θ = 56.9 \: (1d.p)$

4 0

3 years ago

Identify a sequence of transformations that maps triangle ABC onto triangle A"B"C" in the image below.

Murljashka [212]

Answer:

The correct option is B.

Step-by-step explanation:

It is given that triangle A"B"C" is the image of triangle ABC after transformation.

From the given figure it is noticed that the point C lies on positive y-axis and point C" lies on negative x-axis.

It means the figure is rotated either counterclockwise 90° or clockwise 270°. The rotation rule is

$(x,y)\rightarrow (-y,x)$

The corresponding sides of image A"B"C" are smaller than the preimage ABC.

$k=\frac{A"B"}{AB}=\frac{3}{6}=\frac{1}{2}$

Since k<0, therefore the transformation shows the reduction. The dilation rule is

$(x,y)\rightarrow (-\frac{1}{2}y,\frac{1}{2}x)$

$A(-3,0)\rightarrow (-\frac{1}{2}(0),\frac{1}{2}(-3))\rightarrow (0,-1.5)$

$B(3,0)\rightarrow (-\frac{1}{2}(0),\frac{1}{2}(3))\rightarrow (0,1.5)$

$C(0,5.2)\rightarrow (-\frac{1}{2}(5.2),\frac{1}{2}(0))\rightarrow (-2.6,0)$

Option B is correct.

4 0

3 years ago

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I need help please??!!!

Svetradugi [14.3K]

Hello there! This statement is TRUE.

The question is asking you if it is true that 11 - 4 is greater than 4 + 2. To get an answer, Solve both of the problems.

11 - 4 = 7.

4 + 2 = 6.

So, is 7 greater than 6? Yes, it is greater than 6 by 1. This means the answer is true. I hope this was helpful and have a great rest of your day!

4 0

3 years ago

I geologist note is that the land alone at fault line moved 24.8 cm over the past 175 years on average how much did the land mor

zmey [24]

First, let's establish a ratio between these two values. We'll use that as a starting point. I personally find it easiest to work with ratios as fractions, so we'll set that up:

$\frac{24.8\ cm}{175\ years}$

To find the distance per year, we'll need to find the unit rate of this ratio in terms of years. The word unit refers to the number 1 (coming from the Latin root uni- ); a unit rate involves bringing the number we're interested in down to 1 while preserving the ratio. Since we're looking for the distance the fault line moves every one year, we'll have to bring that 175 down to one, which we can do by dividing it by 175. To preserve our ratio, we also have to divide the top by 175:

$\frac{24.8\ cm}{175\ years}\div \frac{175}{175} \approx 
\frac{0.14\ cm}{1\ year}$

We have our answer: approximately 0.14 cm or 1.4 mm per year

3 0

4 years ago

Tell whether each equation has one, zero, or infinitely many solutions.5(x - 3) +6= 5x - 9​

Tell whether each equation has one, zero, or infinitely many solutions.5(x - 3) +6= 5x - 9