Answer:
<h2>y-intercept = 3</h2><h2>x-intercept - not exist</h2><h2>the graph is increasing</h2>
Step-by-step explanation:
The exponential function:
has y-intercept for x = 0
hasn't x-intercept
if a > 1, then is increasing
if 0 < a < 1, then is decreasing
We have
a = 2 >1 - increasing
for x = 0:
Answer is 34 units.
Figures are defined by pre-image and image, so the image would be the dilation while the pre-image is the original figure. So with the preimage being larger, the dilation has to be a fraction less than 1.
Here preimage is smaller, and image is bigger hence scale factor is greater than 1 i.e. 2
Due to dilation, a similar figure is obtained without disturbing the shape of pre image.
Hence AB will becomes A'B' with length = scale factor x AB
= 2x AB.
We can find out AB using distance formula
AB = √(x₂-x₁)²+(y₂-y₁)²
=√(8-0)²+(8+7)²=√(64+225) =√289 = 17
Hence Length of A'B' = 2(17) = 34 units.
Answer:
11 inches
Step-by-step explanation:
17/0.85 * 0.55
20 * 0.55
11.
The number can be used to get rid of all fractions is 12
<h3>What number can be used to get rid of all fractions?</h3>
The equation is given as:
6 - 3/4x + 1/3 = 1/2x + 5
The denominator of the fractions are:
4, 3 and 2
The LCM of 4, 3 and 2 is 12
So, we have:
12 * [6 - 3/4x + 1/3] = 12 * [1/2x + 5]
Evaluate the products
72 - 9x + 12 = 6x + 60
Hence, the number can be used to get rid of all fractions is 12
Read more about fractions at:
brainly.com/question/11562149
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9514 1404 393
Answer:
y = 8
Step-by-step explanation:
You will get the same value for y whether you approach the problem by making corresponding angles equal, or by making corresponding sides equal. The equation for the sides takes less work to solve.
2y -3 = y +5
y = 8 . . . . . . . . add 3-y to both sides
_____
<em>Check</em>
This value of y makes the angles ...
(6y -5)° = (6·8 -5)° = 43°
(4y +11)° = (4·8 +11)° = 43°
Corresponding angles and the side between them have the same measures, so the triangles are congruent by ASA.