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Oksanka [162]
3 years ago
13

Q1 determine the smaller of two integers whose sum equals -47

Mathematics
1 answer:
Katen [24]3 years ago
8 0

Question 1:

We have to identify the two smaller integers whose sum is equal to -47.

So, among these numbers '-23' and '-24' are the smaller numbers whose sum is as,

-23+(-24) = -23-24= -47.

Therefore, -23 and -24 are the required numbers.

Question 2:

We have to determine the larger consecutive integers whose sum is 85.

The larger consecutive numbers are 42 and 43 whose sum is as,

42+43=85.

Therefore, 42 and 43 are the required numbers.

Question 3:

We have to identify the three consecutive integers whose sum is 309.

The three consecutive integers are 102, 103 and 104 whose sum is as:

102+103+104 = 309.

The middle integer among 102, 103 and 104 is '103'.

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Find the area of a right triangle that has one leg with a length of 8 centimeters and a hypotenuse length of 17 centimeters.
Savatey [412]
Since is a right triangle use the Pythagorean theorem to find the missing length in the triangle
17² =8² +x²
x²=17² -8²
x² =289-64=225
x=√225=15

Area of the triangle is 8·15/2=60 cm²
8 0
4 years ago
The line containing the median of the trapezoid whose vertices are R(-1, 5) , S(1, 8), T(7, -2), and U(2, 0).
bearhunter [10]

Answer:

y=-\dfrac{5}{3}x+6.5

Step-by-step explanation:

Given: trapezoid RSTU with vertices R(-1, 5), S(1, 8), T(7, -2), and U(2, 0).

Plot these points on the coordinate plane. As you can see, lines RU and ST are parallel lines and segments ST and RU are bases of the trapezoid.

The median of the trapezoid (the middle line) passes through the midpoints of the sides RS and TU. Find these midpoints:

M\left(\dfrac{x_S+x_R}{2},\dfrac{y_S+y_R}{2}\right)\Rightarrow M(0,6.5)\\ \\N\left(\dfrac{x_T+x_U}{2},\dfrac{y_T+y_U}{2}\right)\Rightarrow N(4.5,-1)

The equation of the line MN is

\dfrac{x-0}{4.5-0}=\dfrac{y-6.5}{-1-6.5}\\ \\\dfrac{x}{4.5}=\dfrac{y-6.5}{-7.5}\\ \\y=-\dfrac{5}{3}x+6.5

4 0
4 years ago
Qm=6x-11 and mr=2x+9 find mn
3241004551 [841]
Well, m= \frac{6x}{Q} - \frac{11}{Q}
H<span>ope that helps!!</span>
3 0
3 years ago
If 90 is in 80% of value,what is that value
babunello [35]

Answer:

112.5

Step-by-step explanation:

\frac{90}{?} =\frac{80}{100}

you would then cross multiply. 90 x 100 and 80 x ?

you will then have 9000 = 80?

divide 9000 by 80 and you will get ? = 112.5

♥

7 0
4 years ago
Read 2 more answers
How do you solve logarithmic equations such as log(2x)= -1 or 3log(2)+log(x)= 3?
Aliun [14]
Remember some simle log rules
loga+logb=log(ab)
xloga=loga^x
log_ax=y means a^y=x
also, if no base is stated, assume base 10

so

log(2x)=-1 is base 10 and translates to
10^-1=2x
1/10=2x
divide both sides by 2 aka times 1/2
1/20=x



3log(2)+log(x)=3
log(2^3)+log(x)=3
log(8)+log(x)=3
log(8x)=3
base 10
10^3=8x
1000=8x
divide both sides by 8
x=125
3 0
3 years ago
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