Answer:
Step-by-step explanation:
RHS means on the right hand side
And LHS means on the left hand side
So if x is one the right side of the expression ,it is on the RHS and if it is on the left side of the expression , it is on the LHS
<span>x^2-15=34
</span><span>x^2 = 34 + 15
</span><span>x^2 = 19
x = + 7 and x = -7
answer is
</span>x = + 7 and x = -7
Answer:
a) h = 6 2/17
b) k = 3 8/17
Step-by-step explanation:
We can make a list of corresponding sides:
AB (17 cm) and DE (13 cm)
BC (15 cm) and EC (8+k cm)
CA (8 cm) and CD (h cm)
Because the triangles are similar, we know corresponding sides are proportional.
<h3>a)</h3>
CD/CA = DE/AB
h/8 = 13/17
h = 8(13/17) = 6 2/17
__
<h3>b)</h3>
EC/BC = DE/AB
(8+k)/15 = 13/17
8 +k = 15(13/17)
k = 11 8/17 -8 = 3 8/17
Answer:
The solution is:
![-\frac{1}{2}x\ge \:4\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-8\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-8]\end{bmatrix}](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B2%7Dx%5Cge%20%5C%3A4%5Cquad%20%3A%5Cquad%20%5Cbegin%7Bbmatrix%7D%5Cmathrm%7BSolution%3A%7D%5C%3A%26%5C%3Ax%5Cle%20%5C%3A-8%5C%3A%5C%5C%20%5C%3A%5Cmathrm%7BInterval%5C%3ANotation%3A%7D%26%5C%3A%28-%5Cinfty%20%5C%3A%2C%5C%3A-8%5D%5Cend%7Bbmatrix%7D)
The number line graph of the solution is also attached below.
From the graph, it is clear that the 2nd number line represents the solution set for the inequality.
Step-by-step explanation:
Given the inequality
Let us solve the inequality
Multiply both sides by -1 (reverse the inequality)
Simplify
Multiply both sides by 2
Simplify
Thus, the solution is:
The number line graph of the solution is also attached below.
From the graph, it is clear that the 2nd number line represents the solution set for the inequality.
