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AlexFokin [52]
1 year ago
13

Find an equation for the line below.

Mathematics
1 answer:
Nuetrik [128]1 year ago
7 0

Answer:

f(x) = -5/3x + 5/3

Step-by-step explanation:

if x = 4 ; f(x) = -5

if x = -2 ; f(x) = 5

f(x) = ax + b

-5 = 4a + b <em>(</em><em>1</em><em>)</em><em> </em>

and

5 = -2a + b <em>(</em><em>2</em><em>)</em>

<em>(</em><em>1</em><em>)</em><em> </em><em>+</em><em> </em><em>(</em><em>2</em><em>)</em><em> </em>

2a + 2b = 0

a = -b

<em>(</em><em>1</em><em>)</em><em> </em>-5 = 4a - a

-5 = 3a

a = -5/3

<u>A</u><u>n</u><u>s</u><u>w</u><u>e</u><u>r</u><u> </u><u>:</u>

f(x) = -5/3x + 5/3

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What is 22% of 45<br><br><br><br> what is 32.5% of 250
antoniya [11.8K]

Answer:

22%*45=

(22:100)*45 =

(22*45):100 =

990:100 = 9.9

32.5%*250=

(32.5:100)*250 =

(32.5*250):100 =

8125:100 = 81.25

7 0
2 years ago
Read 2 more answers
Solve for m<br> 3/5m = -15
Mice21 [21]

Answer:

- 25

Step-by-step explanation:

Step 1:

3/5m = - 15      Equation

Step 2:

m = - 15 ÷ 3/5     Divide

Step 3:

m = - 15/1 × 5/3       Multiply

Answer:

m = - 25

Hope This Helps :)

7 0
3 years ago
Read 2 more answers
Which of the following sets of lengths can Sean use to make a right triangle?
Aleks [24]

Answer:

{8 cm, 15 cm, 17 cm}

Step-by-step explanation:

we know that

The length sides of a right triangle must satisfy the Pythagoras Theorem

so

c^2=a^2+b^2

where

c is the greater side (the hypotenuse)

a and b are the legs (perpendicular sides)

<u><em>Verify each case</em></u>

case 1) we have

{5 cm, 15 cm, 18 cm}

substitute in the formula

18^2=5^2+15^2

324=250 ----> is not true

therefore

Sean cannot make a right triangle with this set of lengths

case 2) we have

{6 cm, 12 cm, 16 cm}

substitute in the formula

16^2=8^2+12^2

256=208 ----> is not true

therefore

Sean cannot make a right triangle with this set of lengths

case 3) we have

{5 cm, 13 cm, 15 cm}

substitute in the formula

15^2=5^2+13^2

225=194 ----> is not true

therefore

Sean cannot make a right triangle with this set of lengths

case 4) we have

{8 cm, 15 cm, 17 cm}

substitute in the formula

17^2=8^2+15^2

289=289 ----> is true

therefore

Sean can make a right triangle with this set of lengths

6 0
2 years ago
The graph represents y as a function of x . Which additional point can be plotted so that the graph continues to represent y as
tester [92]

Answer:

I think it's the last one D

Step-by-step explanation:

I'm not 100% sure, but I think the x can't repeat and 4 is the only number of x that hasn't been plotted yet. Tell me if it was right?

5 0
2 years ago
In the figure below, segment AC is congruent to segment AB:
stepladder [879]

Answer: A. "Segment AD bisects angle CAB." is the right answer.

Step-by-step explanation:

Given : In ΔABC ,AC≅AB.

⇒∠ACB=∠CBA....(1) (∵ angles opposite to equal sides of a triangle are equal )

Now in ΔACD and ΔABD

AD=AD (common)....(2)

Here we need one more statement to prove the triangles congruent that is only statement (A) fits in it.

If AD bisects ∠CAB then ∠CAD=∠BAD..(3)

Now again Now in ΔACD and ΔABD

∠ACB=∠CBA [from (1)]

AD=AD [common]

∠CAD=∠BAD [from (3)]

So by ASA congruency criteria ΔADC≅ΔABD.

7 0
3 years ago
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