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3 years ago

Giving brainlist for corrrect first answer

Mathematics

1 answer:

vitfil [10]3 years ago

7 0

Answer:

#1 = 0.75

#2 =0.4

#3 = 1/5

#4 = 9/20

Hope this helps :)

Step-by-step explanation:

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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

ivanzaharov [21]

Answer: The value of x is -5 and the value of y is 5.

Explanation:

The slope of the line is $\frac{2}{3}$ and the point is (-2,5) from which the line line is passing.

If a line is passing through the point $(x_1,y_1)$ with slope m, the the equation of line is,

$y-y_1=m(x-x_1)$

$y-5=\frac{2}{3}(x+2)$

$3y-15=2x+4$

$3y-2x=19$ ..... (1)

It is given that the point A(x,3) and B(-2,y) lies on the line. It means it satisfies the equation of the line.

Put y=3 in equation (1).

$3(3)-2x=19$

$-2x=10$

$x=-5$

The value of x is -5.

Put x=-2.

$3y-2(-2)=19$

$3y+4=19$

$3y=15$

$y=5$

The value of y is 5.

3 0

3 years ago

Read 2 more answers

Help me with #22 Please i need steps too

VladimirAG [237]

Answer:

$\frac{1}{2} (8)(x+4)=3(x+6)\\x=2$

Step-by-step explanation:

$\frac{1}{2} bh=bh\\\\\frac{1}{2}(8)(x+4)=3(x+6)\\4(x+4)=3x+18\\4x+16=3x+18\\4x=3x+2\\x=2$

1. set the equation for the area of each shape equal to each other

2. simplify each side until you get $4x+16=3x+18$

3. subtract 16 from both sides which will give you $4x=3x+2$

4. subtract 3x from both sides which will give you the value of x. $x=2$

5. check that $x=2$ is correct by plugging it into the equations

triangle:

$area=\frac{1}{2} (8)(2+4)\\area=4(6)\\area=24$

rectangle:

$area=3(2+6)\\area=3(8)\\area=24$

the areas are the same

4 0

3 years ago

F(x)={5−1 if 1≤x<7, if 7≤x≤13. Evaluate the definite integral by interpreting it as signed area.

Ivenika [448]

Answer:

\int\limits^7_1 {f(x)} \, dx =24

\int\limits^13_7 {f(x)} \, dx =24

Step-by-step explanation:

From Exercise we have f(x)=5-1 , we get f(x)=4.

We calculate integral, if 1≤x<7, we get

\int\limits^7_1 {f(x)} \, dx =\int\limits^7_1 {4} \, dx =4[x]\limits^7_1=4(7-1)=4·6=24

We calculate integral, if 7≤x<13, we get

\int\limits^13_7 {f(x)} \, dx =\int\limits^13_7 {4} \, dx =4[x]\limits^13_7=

=4(13-7)=4·6=24

Therefore, we conclude that the given two integrals are the same.

6 0

3 years ago

The measures of two angles of a triangle are 105 and 31 degrees. Find the measure of the third angle.

vladimir1956 [14]

Answer: 44°

Step-by-step explanation:

Measures of the angles of a triangle

= 180°

Therefore, 180 - 105 + 31 = 44°

8 0

3 years ago

Read 2 more answers

The time it takes to travel to a destination varies inversely with the average speed. It takes two hours when the average speed

Zolol [24]

Answer:

1 hour

Step-by-step explanation:

The time it takes to travel to a destination varies inversely as its speed

T= k/S

K= TS

Time= 2 hours

Speed= 40mph

K= 2×40

= 80

Therefore if the average speed changes to 80mph then the new travel time can be calculated as follows

T= 80/80

= 1 hour

Hence the new travel time is 1 hour

3 0

3 years ago