Answer:
659
Step-by-step explanation:
664 + 4 - 9 = 659
⇒ Solution
1) Simplify
<span>4x−20−8=−28+6x
2) </span>Simplify 4x−20−8 to 4x−28
<span>4x−28=−28+6x
3) G</span>roup all terms
<span>4x−28=6x−28
4) </span>Cancel −28 from eachside
<span>4x=6x
5) </span>Move all of the terms to one side
<span>4x−6x=0
6) </span>Simplify equation 4x−6x to −2x
<span>−2x=0
</span>7) Divide each side by <span><span>−2</span></span>
<span><span>x=0</span></span>
Answer: the current value of the house is $343350
Step-by-step explanation:
The initial value of the house on the market was $315,000.
After several years the value increased by 9%. This means that the amount by which the value of the house increased over the years would be
9/100 × 315000 = 0.09 × 315000 = $28350
The current value of the house would be the sum of the previous value of the house and the increase in value. It becomes
315000 + 28350 = $343350
Imagine right triangle PHF, where P - park, H - home and F - football field, then PH, PF are legs and HF is hypotenuse . Denote point L to be library. You know that point L lies on the segment FH and FL=8, LH=2. Also you know that PL is an altitude to the hypotenuse.
Use the property of altitude drawn from the vertex of right angle to the hypotenuse (the length of the altitude is geometrical mean between legs' projections onto hypotenuse):
mi.
This means that the distance between park and libriry is 4 miles.
Consider right triangle PLF ( angle L is right angle and PF - hypotenuse). By the Pythagorean theorem,
mi. The distance between park and football field is
miles.
Answer: the distance between park and libriry is 4 miles and the distance between park and football field is
miles.
Answer:
b
Step-by-step explanation: