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vitfil [10]
3 years ago
13

Question 8

Mathematics
1 answer:
Elis [28]3 years ago
6 0

Answer:

The y-intercept is -9.

Step-by-step explanation:

Using the form y = mx + b, b is the y-intercept of the equation. Thus by definition in the equation y = 1/2x - 9, -9 is the y-intercept.

Additionally, the y-intercept is the point where x = 0; thus, when y = 1/2(0) - 9, y = -9.

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Next-door neighbors Bob and Jim use hoses from both houses to fill Bob's swimming pool. They know that it takes 22 h using both
FrozenT [24]

Answer:

correct answer: Bob's hose required alone 33 hours and Jim's hose required alone 66 hours

Step-by-step explanation:

Given:

Bob's hose time = 50% of Jim's hose time ⇒

⇒ Jim's hose time = 2 · Bob's hose time

Let be x  Bob's hose time and  2x Jim's hose time

The following equation will solve the problem:

1/x + 1/ 2x = 1/22  

The common denominator for both fractions is 2x, so we will multiply the first fraction by the number 2 and get:

2/2x + 1/2x = 1/22 ⇒ 3/2x = 1/22 ⇒ x = 3 · 22 / 2 ⇒ x = 3 · 11 = 33 hours

Bob's hose time x = 33 hours and

Jim's hose time 2x = 66 hours

God is with you!!!

4 0
3 years ago
What is 36/100 added with 4/10
Ipatiy [6.2K]

Answer:

0.76 or 19/25

Step-by-step explanation:

Convert 4/10 so that it has a common denominator with 36/100.

4/10 x 10/10 = 40/100

Now that the denominator is the same, just add the top values.

40/100 + 36/100 = 76/100

We can also simplify the answer to be 19/25 by dividing the top and bottom by 4.

5 0
3 years ago
Read 2 more answers
a right trangle has one angle that measures 70 what is the measure of the other acute angle in the triangle
inna [77]

Answer:

20

Step-by-step explanation:

We know that the interior angle measures of a triangle are <u>180,</u> and we are told that this is a <u>right</u> triangle.

Since we know the measure of two angles, we just have to do basic math:

180=90+70+x

solve for x (which equals 20) to get the measure of your acute angle

3 0
3 years ago
In the figure above, PQRS is a circle. If PQT and SRT<br>are straight lines, find the value of x.
Elena L [17]

Given:

PQRS is a circle, PQT and SRT  are straight lines.

To find:

The value of x.

Solution:

Since PQRS is a circle, PQT and SRT  are straight lines, therefore, PQRS isa cyclic quadrilateral.

We know that, sum of opposite angles of a cyclic quadrilateral is 180 degrees.

m\angle SPQ+m\angle QRS=180^\circ

81^\circ+m\angle QRS=180^\circ

m\angle QRS=180^\circ-81^\circ

m\angle QRS=99^\circ

Now, SRT  is a straight line.

m\angle QRT+m\angle QRS=180^\circ             (Linear pair)

m\angle QRT+99^\circ=180^\circ

m\angle QRT=180^\circ-99^\circ

m\angle QRT=81^\circ               ...(i)

According to the Exterior angle theorem, in a triangle the measure of an exterior angle is equal the sum of the opposite interior angles.

Using exterior angle theorem in triangle QRT, we get

m\angle PQR=m\angle QRT+m\angle QTR

x=81^\circ+22^\circ

x=103^\circ

Therefore, the value of x is 103 degrees.

4 0
3 years ago
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU B
marshall27 [118]

Answer:

IM preeetty sure the answer is x=4 and y=26 so the solution would be (4,26)

Step-by-step explanation:

hope this helps!!! <333

6 0
3 years ago
Read 2 more answers
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