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defon
3 years ago
10

Miss Gonzales opened an account with a deposit of $2,000,

Mathematics
1 answer:
tatuchka [14]3 years ago
8 0

Answer:

22.5

Step-by-step explanation:

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Find the equation,in standard form, of the line passing through the point (2,-3) and (4,2)
VLD [36.1K]

The standard form:

Ax+By=C

The point-slope form:

y-y_1=m(x-x_1)

m - slope

(x₁, y₁) - point

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (2, -3) and (4, 2). Substitute:

m=\dfrac{2-(-3)}{4-2}=\dfrac{5}{2}

y-(-3)=\dfrac{5}{2}(x-2)

y+3=\dfrac{5}{2}(x-2)       <em>use distributive property</em>

y+3=\dfrac{5}{2}x-5            <em>multiply both sides by 2</em>

2y+6=5x-10                     <em>subtract 6 from both sides</em>

2y=5x-16         <em>subtract 5x from both sides</em>

-5x+2y=-16          <em>change the signs</em>

\boxed{5x-2y=16}

8 0
3 years ago
Read 2 more answers
The image of (-6,6) after a dilation by a scale factor of 5 centered at the<br> а
Setler79 [48]
Answer is (24,-24)

Explanation:
Dilation centered at the origin multiplies each coordinate by the dilation factor.
image= 4(6,-6)
image= (24,-24)
8 0
2 years ago
What's 11.094 * $17.27​
san4es73 [151]

Answer:

$191.59

Step-by-step explanation:

7 0
4 years ago
Find the inverse for me please
Mrac [35]

Answer:

<em>(C). </em>f^{-1}<em> = ( x + 4 )² ; x ≥ 0</em>

Step-by-step explanation:

4 0
3 years ago
Triangle ABC ~ Triangle DEF. Measure of angle A = 20
marishachu [46]

Answer:

B=95°

E=95°

D=20°

C=65°

BC=7cm

Step-by-step explanation:

the triangles look like they are identical, just different in size only. Since DE= 15 and AB=10 that may mean that they have a 5cm difference making side BC= 7cm since EF= 12 minus 5 equals 7cm. Now for the other angles, a triangle no matter what,if we put all their angles together equal 180°. We already know angle A= 20 so the same applies to angle D. We also know that angle F=65 degrees, that makes angle C the same. The only thing that's left are angles B and E that can be found by adding our other angles. So if A+C(20+65)=85 then 180-85=95 degrees is angle B and since the triangles are identical the same goes to E.

7 0
2 years ago
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