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Slav-nsk [51]
3 years ago
12

Please help ASAP!!!!!! The first figure is dilated to form the second figure

Mathematics
1 answer:
kow [346]3 years ago
5 0

Answer:

the answer is 0.9 is the scale factor

Step-by-step explanation:

id you subtract 1.5 and 0.6 you get 0.9

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Find the positive base $b$ in which the equation $5_b \cdot 23_b = 151_b$ is valid.
DanielleElmas [232]

Answer:

b=7

Step-by-step explanation:

We want to determine the positive base b in which:

5_b \cdot 23_b = 151_b

The easiest way to approach this is to convert all the numbers to base 10.

5_b=5Xb^0=5\\23_b =(2Xb^1)+(3Xb^0)=2b+3\\151_b=(1Xb^2)+(5Xb^1)+(1Xb^0)=b^2+5b+1\\Therefore:\\5_b \cdot 23_b = 151_b\\5(2b+3)=b^2+5b+1\\10b+15=b^2+5b+1\\b^2+5b+1-10b-15=0

b^2-5b-14=0

Next, we factorize the resulting expression.

b^2-5b-14=b^2-7b+2b-14=0\\b(b-7)+2(b-7)=0\\(b-7)(b+2)=0\\b-7=0\: or \: b+2=0\\b=7\: or \: b=-2

The positive value of b for which the equality hold is 7.

3 0
2 years ago
The midpoint of PQ is M(2,-3). One endpoint is<br> P(4,1). Find the coordinates of endpoint Q.
kupik [55]
Q (0,-7)

Hope this helps
3 0
3 years ago
If TV ≅ WV and UV ≅ XV, then which congruency theorem shows that ΔTUV ≅ ΔWXV ?
VashaNatasha [74]

Answer:

Option (2).

Step-by-step explanation:

In the figure attached,

Given : TV ≅ WV and UV ≅ XV

To prove: ΔTUV ≅ ΔWXV

                Statements                  Reasons

1). TV ≅ WV                              1). Given

2). UV ≅ XV                             2). Given

3). ∠XVW ≅ ∠TVU                  3). Reflexive property

4). ΔTUV ≅ ΔWXV                  4). SAS (Side - angle - side) property of                                                             congruence

Therefore, Option (2) will be the answer.

5 0
3 years ago
Hira is rollerblading at 9 m/s. Danni is climbing at 7 m/s. Amelia is cartwheeling at 2 m/s.
anyanavicka [17]

Answer:

Hira

Step-by-step explanation:

They are going at the fastest speed as 9 is the most

5 0
3 years ago
Read 2 more answers
Determine if the table shows a linear or an exponential function​
____ [38]

Answer:

<em>The table shows an exponential function</em>

Step-by-step explanation:

<u>Linear vs Exponential Functions</u>

A linear function is written as:

y=mx+b

where m and b are constants.

If a table contains a linear function, then for each pair of ordered pairs (x1,y1) and (x2,y2), the value of m must be constant.

The slope can be calculated as:

\displaystyle m=\frac{y_2-y_1}{x_2-x_1}

An exponential function is written as:

y=y_o.r^x

Where r is the ratio and yo is a constant.

If a table contains an exponential function, for two ordered pairs (x1,y1) and (x2,y2), the value of r must be constant.

The ratio can be calculated as:

\displaystyle r=\sqrt[x2-x1]{\frac{y2}{y1}}

Calculate the slope for (0,4) and (1,2):

\displaystyle m=\frac{2-4}{1-0}=-2

Calculate the slope for (1,2) and (2,1):

\displaystyle m=\frac{1-2}{2-1}=-1

Since the slope is not the same, the function is not linear.

Now calculate the ratio for (0,4) and (1,2)

\displaystyle r=\sqrt[1-0]{\frac{1}{2}}

The radical of index 1 is simply equal to its argument:

\displaystyle r=\frac{1}{2}

Now calculate the ratio for (0,4) and (2,1)

\displaystyle r=\sqrt[2-0]{\frac{1}{4}}

\displaystyle r=\sqrt{\frac{1}{4}}

\displaystyle r=\frac{1}{2}

Testing other points we'll find the same ratio, thus the table is an exponential function

4 0
2 years ago
Read 2 more answers
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