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Scilla [17]
3 years ago
11

Need answer for d with working

Mathematics
1 answer:
son4ous [18]3 years ago
4 0

Answer:

Question D.

Pretty simple if you know what the distributive property is. In this equation, you notice 2 fractions outside the parenthesis. This means you must multiply this fraction by every number within its corresponding parenthesis. So, if you distribute the new equation would be (\frac{5}{4}y+ 1)=(\frac{2}{3}y-\frac{1}{3}). After this isolate the variable y and solve. I'll leave that to you so you can get something out of it, because my entire explanation would be useless if you just looked at the answer and left, not knowing how to do it in the future. :)

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Hello this is my first question:)
r-ruslan [8.4K]

Answer:

Reduction is centered at (2,2)

Scale factor = 1/3

Hope this helps!

8 0
3 years ago
What is the equation of the line that passes through (-5, 7) and is parallel to the line y = 4x + 5?
Marysya12 [62]

Answer:

y=4x+27

Step-by-step explanation:

If a line is parallel, it would have the same slope, so you already have that.

Now, you need the y-intercept of the second line. You already have one point, so use that point and the slope to find the y-int. What you can do (since you know you have to go up 4 and over 1, add a 1 to the -5 until you get to zero. your y-int would be 7+20 since you've gone up 5x4)

your final answer (i think) should be y=4x+27, but I could be wrong :))

6 0
4 years ago
Triangles △GJI and △PKH are similar, and m∠G+m∠P=50°, and m∠I=48°. What are the measures of all the angles of these triangles ?
velikii [3]

If ΔGJI and ΔPKH are similar, then ∡G≅∡P, ∡J≅∡K and ∡I≅∡H.

We have m∡G + m∡P = 50°, therefore m∡G = m∡P = 50° : 2 = 25°.

m∡I = 48° therefore m∡H = 48°.

We know, the sum of the measures of the angles of a triangle is equal 180°.

Therefore we have the equation:

m∡G + m∡J + m∡I = 180°

25° + m∡J + 48° =180°

73° + m∡J = 180°      <em>subtract 73° from both sides</em>

m∡J = 107° → m∡K = 107°.

<h3>Answer: ΔGJI and ΔPKH: 25°, 107°, 48°</h3>
8 0
3 years ago
Read 2 more answers
Mateo is culturing bacteria that have a growth rate of 5.3% per hour. If the current population is 38,762 bacteria, how many bac
Taya2010 [7]

..Given:

\begin{gathered} a=38762 \\ r=5.3\%=\frac{5.3}{100}=0.053 \\ t=20 \end{gathered}

To Determine: The number of bacteria after 20 hours

Using the future value formula for growth rate

\begin{gathered} P_a=P_c(1+r)^t \\ P_a=(Bacteria,final,population) \\ P_c(Bacteria,current,population)=38762 \\ r(rate)=0.053,t(time,in,hour)=20 \end{gathered}

Therefore

\begin{gathered} P_a=38762(1+0.053)^{20} \\ P_a=38762(1.053)^{20} \\ P_a=38762(2.809101) \\ P_a=108886.39 \\ P_a\approx108886 \end{gathered}

Hence, population of bacteria in 20 hours is 108,886

8 0
2 years ago
The temperature at noon was 88°f. By 4 p.M., the temperature was 27°f. Determine the constant rate of change of the temperature.
yawa3891 [41]

i think it would be 2 degrees every hour for 10 to 11 hours i think it would be 2 degrees


8 0
3 years ago
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