Answer:
Yes, there is a transformation that maps shape I onto shape IV. Reflecting shape I across the x-axis maps it onto shape IV.
Step-by-step explanation:
edmentum.
Using proportions, Nelly's total pay for last week was of £220.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
From Monday to Friday, she worked 17 hours, hence:
- For 15 hours, she was paid £8 per hour.
- For the last 2 hours, she was paid £10 per hour.
On Saturday, she worked 5 hours, and was paid £16 per hour.
Hence her total payment is found as follows:
15 x 8 + 2 x 10 + 5 x 16 = £220.
More can be learned about proportions at brainly.com/question/24372153
#SPJ1
Answer:
y = 1/2 x + 8
Step-by-step explanation:
We are given the y intercept and the slope, so we can write the equation using the slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = 1/2 x + 8
No, because if they were equal the second equation should be 225/(15x3), not (15/3).
Answer:
The value of <em>c</em> is 
.
Step-by-step explanation:
The perfect square of the difference between two numbers is:
The expression provided is:
The expression is a perfect square of the difference between two numbers.
One of the number is <em>x</em> and the other is √<em>c</em>.
Use the above relation to compute the value of <em>c</em> as follows:
![x^{2}-15x+c=(x-\sqrt{c})^{2}\\\\x^{2}-15x+c=x^{2}-2\cdot x\cdot\sqrt{c}+c\\\\15x=2\cdot x\cdot\sqrt{c}\\\\15=2\cdot\sqrt{c}\\\\\sqrt{c}=\frac{15}{2}\\\\c=[\frac{15}{2}]^{2}\\\\c=\frac{225}{4}](https://tex.z-dn.net/?f=x%5E%7B2%7D-15x%2Bc%3D%28x-%5Csqrt%7Bc%7D%29%5E%7B2%7D%5C%5C%5C%5Cx%5E%7B2%7D-15x%2Bc%3Dx%5E%7B2%7D-2%5Ccdot%20x%5Ccdot%5Csqrt%7Bc%7D%2Bc%5C%5C%5C%5C15x%3D2%5Ccdot%20x%5Ccdot%5Csqrt%7Bc%7D%5C%5C%5C%5C15%3D2%5Ccdot%5Csqrt%7Bc%7D%5C%5C%5C%5C%5Csqrt%7Bc%7D%3D%5Cfrac%7B15%7D%7B2%7D%5C%5C%5C%5Cc%3D%5B%5Cfrac%7B15%7D%7B2%7D%5D%5E%7B2%7D%5C%5C%5C%5Cc%3D%5Cfrac%7B225%7D%7B4%7D)
Thus, the value of <em>c</em> is .
